Select True or False for each statement.

Select True Or False For Each Statement.

Answers

Answer 1

Answer:

1. true

2. true

3. false, vertical axis is y :)

Step-by-step explanation:


Related Questions

The positive variables p and c change with respect to time 1. The relationship between p and c is given by the equation p^2 = (20-c)^3. At the instant when dp/dt = 41 and c = 15, what is the value of dc/dtï¼

Answers

The value of dc/dt due to changes in p and c variables is 0.364.

The positive variables p and c change with respect to time 1. The relationship between p and c is given by the equation p^2 = (20-c)^3. Now the dp/dt value is 41 and c is 15.

Differentiate the given equation to obtain the following:

2p dp/dt = 3(20-c)^2 dc/dt

Substitute the given values in the equation to obtain the following:

2p (41) = 3(20 - 15)^2 dc/dt

Simplify the equation to obtain the following:

82 = 225 dc/dt

Divide both sides of the equation by 225 to obtain the following:

dc/dt = 82/225

Simplify the equation to obtain the following:

dc/dt = 0.364

Hence, the value of dc/dt is 0.364.

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Evaluate the function for the given values of a and b then use the intermediate value theorem to determine which of the statements below is true.
a=-1 and b =0
f(x)=6x^3-9x^2-7x+3
a).f(-1) and f(0) have the same sign, therefore the function f has a real zero between -1 and 0
b.)f(-1) and f(0) have opposite signs, therfore the function f does not have a real zero between -1 and 0
c.) f(-1) and f(0) have the opposite sign, therefore the function f has a real zero between -1 and 0
d.) f(-1) and F(0) have the same sign, therefore intermediate value theorem cannot be used to determine wheter the function f has a real zero between -1 and 0

Answers

The function f has a real zero between -1 and 0. Therefore, statement c) is true.

To evaluate the function for the given values of a and b, we can plug in the values of a and b into the function and solve.

For a=-1, we get:

f(-1) = 6(-1)^3 - 9(-1)^2 - 7(-1) + 3 = 6 - 9 + 7 - 3 = 1

For b=0, we get:

f(0) = 6(0)^3 - 9(0)^2 - 7(0) + 3 = 3

Therefore, f(-1) and f(0) have opposite signs (one is positive and one is negative).

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PLEASE HELP ASAP
Three key features of a linear function are described as shown.
• The graph of the function has a y-intercept of (0, 3) .
• The function is increasing over its entire domain.
• The x-intercept of the function is (-4, 0).

Answers

Answer:

y = 3/4 x + 3

Step-by-step explanation:

slope of the line :

(0-3)/(-4-0)

-3/-4

3/4

y = 3/4 x + 3

7. (85D) Richards Park charges an admission fee of
$10 plus an hourly fee for each sport that you
choose to participate in. Which equation
represents the cost C, in terms of the number of
hours, h, you pay to sled?

HELP PLEAAASEEE 20 POINTS

Answers

Answer:

  C.  C = $10 +$5h

Step-by-step explanation:

The cost is a $10 admission fee plus $5 per hour for sledding. You want an equation representing the cost C in terms of hours h.

Cost

The cost is ...

   cost = admission fee + hourly charge

The hourly charge is the product of the cost per hour ($5) and the number of hours (h).

  C = $10 +$5h

The length of a rectangle is 1 7/9 inches and its width is 3/4 of its length. Find the area of this rectangle.

Answers

Answer:

Area = 2 10/27 inch²

Step-by-step explanation:

Length: 1 7/9 inches

Width: (3/4)(1 7/9 inches)

Area = Length × Width

Area = (1 7/9 inches) × (3/4)(1 7/9 inches)

Area = 16/9 inches × 16/9 inches × 3/4

Area = 768/324 inch²

Area = 256/108 inch²

Area = 128/54 inch²

Area = 64/27 inch²

Area = 2 10/27 inch²

Can someone evaluate these
1 × ( –6 × – 18 – 8) ÷ 4
–4 – –20 + –5 ×( –11 – –18)
13 – –10 × 16 ÷(14 + –16)
1– –9 × 12 × (–19 + 20)

Answers

Answer:

1 × ( –6 × – 18 – 8) ÷ 4=[tex]\frac{1}{404}[/tex]

–4 – –20 + –5 ×( –11 – –18)=[tex]18[/tex]

13 – –10 × 16 ÷(14 + –16)=[tex]173[/tex]

1– –9 × 12 × (–19 + 20)=[tex]110[/tex]

Using circles to model the ratios, divide both circles into
equal parts.
For the ratio 2 to 7,
parts should be shaded.
For the ratio 5:7,
parts should be shaded.
The ratio 2 to 7 is
the ratio 5:7.

Answers

By using circle model the images are attached below:

What is a circle model?

A circle with a diameter of one has n firms distributed uniformly around it. In light of this, every company's distance from each of its closest neighbors is 1/n.

We must first create two circles in order to compare the ratios of 2 to 7 and 5:7 using a circle model.

Then, we must divide each circle into seven pieces.

We must shade 2 of the circle's total 7 portions in order to maintain the 2:7 ratio.

We must shade 5 of the circle's total 7 portions in order to maintain the 5:7 ratio.

As a result, the first circle symbolizes a 2:7 ratio, while the second circle a 5:7 ratio.

By using circle model the images are attached below:

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Answer: using circles to model the ratios, divide both circles into

7

equal parts.

For the ratio 2 to 7,

2

parts should be shaded.

For the ratio 5:7,

5

parts should be shaded.

The ratio 2 to 7 is

less than

the ratio 5:7

1. Anya is at camp and walks 2km due north and then turns and walks another 3km at a bearing angle of 35° . Find her distance back to camp and the bearing angle from her starting point. ​

Answers

Anya her distance back to camp and the bearing angle from her starting point is 4.78 km North 26.3° West.

Define direction ?

Direction gives the information about the way towards which an object moves or tends.

The angle formed by the 2 km and 3 km is the supplement of the 35 ° angle west of north;

  180°- 35° = 145°

We know that the length of two sides and one angle.

The opposite side know angle is the direct distance between the starting and ending points.

Using the law of cosines.

[tex]a^{2} = b^{2} + c^{2} - 2bc (cosA)[/tex]

[tex]a^{2} = 2^{2} + 3^{2} - 2(2)(3)(cos 145)[/tex]

[tex]a^{2} = 4 + 9 - 12 (-0.8192)[/tex]

[tex]a^{2} = 22.83[/tex]

a = 4.78 km

To determine the bearing from the starting point , we must determine the angle between the first leg and the direct path.

Using the law of sines

[tex]\frac{4.78}{sin(145)} = \frac{3}{sin C}[/tex] sin(145°)

4.78 sin C = 3 sin 145°

sin C = [tex]\frac{3 sin (145^ 0)}{4.78}[/tex]

sin C = 0.4438

C = 26.3°

Therefore, the distance and bearing of the end point from the starting point is 4.78 km North 26.3 ° West.

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what is 10+40-11+100=

Answers

Answer:139 is the answer

Step-by-step explanation:

10+40-11+100 = 139

So the answer is 139

A researcher performs three independent hypothesis tests each at the 5% significance level.
Determine the probability of observing at LEAST one Type I Error. (Round your final answer to the nearest hundredth of a percent)

Answers

The probability of observing at least one Type I Error is 16.67%.

What is probability?

Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. It is a measure of how likely it is that something will happen, given the conditions and information available. Probability is the foundation of statistics, which is the science of making decisions when faced with uncertainty. Probability can be used to make predictions about future events and to help us understand how likely various outcomes are.

A Type I Error, also known as a false positive, occurs when an experiment incorrectly rejects a true null hypothesis. This probability can be calculated by multiplying the probability of a Type I Error occurring in each test (0.05) three times, yielding 0.125 (or 12.5%).

We then add 1 minus that probability, which yields 0.167 (or 16.67%). In other words, the probability of observing at least one Type I Error in the three tests is 16.67%.

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Tom received a $75 gift certificate for the local sporting goods store. He
bought two baseballs for $1.79 each, a baseball glove for $49.99, and a
baseball bat for $12.19. About how much of his gift certificate will he have
left?

Answers

Answer:

He has $9.24 left of his gift certificate

Step-by-step explanation:

Given that,

He bought two baseballs for $1.79

Baseball= 1.79+1.79 or 1.79 × 2 (because there are two baseballs.

= $3.58

Baseball Glove = $49.99

Baseball Bat = $12.19

Altogether = $3.58 + $49.99 + $12.19

= $65.76

So you subtract $65.76 from the Original amount in the gift certificate,

=> $75 - $65.76

= $9.24

Please help this is percentages.

Answers

The percentage of boys in the class is 60% and the percentage of girls in the class is 40%.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Total number of students in class = 45

Total number of boys in the class = 27

Then, the percentage of boys in the class will be,

Let the percentage of boys be x.

x% Of 45 = 27

x = (27 × 100)/45

x = 2700/45

x = 60%

Then, total number of girls in the class = 45 - 27 = 18

Assume the percentage of girls in the class be y.

y% Of 45 = 18

y = (18 × 100)/45

y = 1800/45

y = 40%

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3. draw the circuit for an sr flip-flop given the characteristic table, equation and state diagram. (8pts)

Answers

The logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)

What is SR flip-flop?

A gated set-reset flip-flop is an SR flip-flop.

The flip-flop is controlled by the S and R inputs when the clock pulse changes from LOW to HIGH.

Till the clock pulse is on a rising edge, the flip-flop won't alter.

There is a chance that the outputs will be HIGH or LOW when S and R are both HIGH at the same time.

A global flip flop with two inputs, the JK flip flop has the letters "J" and "K."

While J and K are not the reduced abbreviated letters for Set and Reset in the SR flip flop, S and R are.

SR flip-flop equation: Qn+1 = S + QnR'

(Refer to the images attached below)

Therefore, the logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)

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In a sale, normal prices are reduced by 15%. The normal price of a pen is reduced by £1.20 Work out the normal price of the pen.​

Answers

Answer:

The normal price of a pen is £8

Step-by-step explanation:

let p be the normal price.

The statement : “normal prices are reduced by 15%. The normal price of a pen is reduced by £1.20”

Means

[tex]p \times \frac{15}{100} = 1.20[/tex]

Then

[tex]p = 1.20 \times \frac{100}{15} = \frac{120}{15} = 8[/tex]

Answer:

The normal price of the pen is £8

Step-by-step explanation:

Reduced by 15%

Reduced by £1.20

Meaning that 15% is £1.20

To find the 100% or the normal price of the pen we find the 1% first then the 100%

So, 1% = £1.20/15

100% =£1.20/15 x 100

= 8

Checking..

If normal price was 8 and reduction is 15%

8(1- R/100) {R = %}

8(1 -15/100) = 6.8 (Reduced price)

8 - 6.8 = £1.20 ( Reduction price aka the 15%)

Therefore, the normal price of the pen is £8.


The area of a rectangle is 9/10 square meter. The width is 2/5 meter. b. How many times greater is the length than the width? Write your answer in simplest form.

Answers

Using the area of rectangle formula, w = A/l, determine the width of the rectangle first before determining its length.

How do you find the length and width of a rectangle when given the area?

In conclusion, you must divide a rectangle's area by its known width in order to determine its length.If you have an area A and a width w, you can calculate the length w using the formula h = A/w.

If you know the perimeter P and the width w, you can calculate the length using the formula h = P/2w.

Given a diagonal (d) and a width (w), its length is given by h = (d2w2).The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape.

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in a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. use excel to create the confidence interval, rounding to four decimal places.

Answers

To create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month, we need to first calculate the sample proportion.

The sample proportion is calculated by dividing the number of adults who ate fast food at least once in the past month (722) by the total number of adults surveyed (1000). This gives us a sample proportion of 0.722.

To calculate the confidence interval, we can use the following formula:

Sample proportion +/- 1.96 * sqrt((Sample proportion * (1 - Sample proportion)) / Sample size)

Plugging in the values, we get:

0.722 +/- 1.96 * sqrt((0.722 * (1 - 0.722)) / 1000)

This gives us a 95% confidence interval of (0.6901, 0.7539). Rounded to four decimal places, the confidence interval is (0.6901, 0.7539).

Note: To calculate the confidence interval using Excel, you can use the following formula:

=CONFIDENCE.NORM(alpha, standard_dev, size)

Where "alpha" is the desired confidence level (e.g., 0.95 for a 95% confidence interval), "standard_dev" is the standard deviation of the sample, and "size" is the sample size. To calculate the standard deviation, you can use the STDEV.P function.

For example, to calculate the lower and upper bounds of the 95% confidence interval, you could use the following formulas:

Lower bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) - (1.96 * STDEV.P(A1:A1000))

Upper bound: =CONFIDENCE.NORM(0.95, STDEV.P(A1:A1000), 1000) + (1.96 * STDEV.P(A1:A1000))

Where A1:A1000 is a range containing the values "1" for those adults who ate fast food at least once in the past month and "0" for those who did not. This will give you the same result as the manual calculation above.

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Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.
Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?
A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects. B. Randomization will make up for improper experimental design, data collection, and analysis.
C. Randomization makes the analysis easier since the data can be entered into the computer in any order. D. Randomization is required by statistical consultants before they will analyze the experiment.
E. Randomization means that the experiment would not need to be replicated.

Answers

In order to prevent such factors from influencing the treatment's outcomes, randomization tends to reduce the impact of uncontrollable variables like water temperature.

What are variables?


A variable in mathematics is a symbol that designates a mathematical object. A variable can represent any of the following: a number, a vector, a matrix, a function, its argument, a set, or an element of a set. An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed. Because they make up a significant portion of mathematics, variables are crucial.

The impact of water pH on moon jellyfish mating behavior is being studied by researchers. In a scientific experiment, the water in the tanks containing the jellyfish will be randomly assigned to one of three treatments: low pH, medium pH, or high ph.

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Suppose continuous random variable Y has cumulative distribution function FY (y), and density
function fY (y) > 0. Let random variable U = FY (Y ), find the density function of U, and identify its
distribution (name and parameter(s)) if possible.

Answers

Since, U = FY(Y) is uniform distribution (i.e. U(0, 1)).

In the given question, suppose continuous random variable Y has cumulative distribution function FY (y), and density function fY (y) > 0.

Let random variable U = FY (Y ).

We have to find the density function of U, and identify its distribution (name and parameter(s)) if possible.

A random variable Y has cumulative distribution function FY (y).

A random variable Y has density function f(y).

Let U = FY(Y)

Now we have to find the density function of U using cumulative distribution function method

FU(u) = P(U≤u)

FU(u) = P(FY(Y) ≤ u)

FU(u) = P(Y ≤ F (u))

FU(u) = FY(F (u))

FU(u) = u

fU(u) = F'U(u).1

fU(u) = 1

fU(u) = 1,     0<u<1

Here U = FY(Y) is uniform distribution (i.e. U(0, 1)).

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Savannah takes a car to a title loan business to borrow some money. Savannah is given $2,900.00. She must pay back the $2,900.00 in addition to a $1,375.00 fee in 8 months.

What simple interest rate is she
being charged?

Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.

Savannah is being charged a simply interest rate of ______.

Answers

Step-by-step explanation:

To find the simple interest rate that Savannah is being charged, we can use the formula for simple interest:

I = P * r * t

where I is the total interest paid, P is the principal (the amount borrowed), r is the interest rate, and t is the time period over which the interest is paid.

Since Savannah must pay back the $2,900.00 principal plus a $1,375.00 fee, the total interest paid is $1,375.00. The time period is 8 months, which is equal to 8/12 = 2/3 of a year. Substituting these values into the formula and solving for r, we get:

$1,375.00 = $2,900.00 * r * (2/3)

r = $1,375.00 / ($2,900.00 * (2/3)) = 0.1429

This is the interest rate that Savannah is being charged. To express this rate as a percentage, we can multiply it by 100% to get:

r = 0.1429 * 100% = 14.3%

Therefore, Savannah is being charged a simple interest rate of approximately 14.3%.

What is the solution and how do I solve this step by step?

Answers

Exterior angle theorem: The sum of the exterior angle = the sum of two non-adjacent interior opposite angles

So we can say that…

16x + 8 = 60 + 4x + 8
-8
16x = 60 + 4x
-4x
12x = 60
/12
x = 5

Answer: x = 5

Have a good day ^^

Simplify: 0÷(x−1/3), where x≠1/3.

Answers

Answer:

0

Step-by-step explanation:

0 divided by any nonzero quantity is zero.

Solve the system by graphing ツ= 3x ツ = -3x + 6

Answers

Answer:

(1, 3)

Step-by-step explanation:

Using a graphing website like Desmos or a graphing calculator, we can figure out the solution: (1, 3)

at what time t is the instaneous velocity equal to the averge equal to the equal to the average velocity of the bug on 0,6 is the bug speeding up or slowing down at t

Answers

At t = 0.6, the instantaneous velocity of the bug is equal to the average velocity of the bug on [0,6], so the bug is neither speeding up nor slowing down.

The instantaneous velocity of a bug at any particular moment in time is the rate at which the bug is changing its position. The average velocity of the bug over a particular interval (in this case, [0,6]) is the average rate at which the bug changes its position over the entire interval. To compare the instantaneous velocity to the average velocity, the two velocities need to be measured at the same time.

At t = 0.6, the instantaneous velocity of the bug is equal to the average velocity of the bug on [0,6]. That means that the bug is neither speeding up nor slowing down.

The Complete the question is :

at what time t is the instaneous velocity equal to the averge equal to the equal to the average velocity of the bug on 0,6 is the bug speeding up or slowing down at t = 0.6

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Find the missing side length

Answers

Answer:

8

Step-by-step explanation:

x+7=15 so x=15-7 which is x=8

Answer:

8 ft

Step-by-step explanation:

The length of the shape is 15 ft. The length on the bottom is equal to the length on the top.

We are given 2 "sides" or lines on the bottom. One of them is 7 ft. Find the other "side" length.

x + 7 =15

x = 15 - 7

x = 8

wHAT IS THE NEXT NUMBER IN THE FOLLOWING SERIES OF NUMBERS 1,4,8,13,19

Answers

Answer:

26

Step-by-step explanation:

a_n = 1/2 (n^2 + 3 n - 2) (for all terms given)

1, 4, 8, 13, 19, 26, 34, 43, 53, 64, 76, 89, 103, 118, 134, 151, 169, 188, 208, 229, ...

Answer:

26

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 4 and 8 is 4

The difference between 8 and 13 is 5

The difference between 13 and 19 is 6

The difference between 19 and 26  is 7

If the area of square and rectangle is same and the side of the square is 40cm and width of rectangle is 25cm. So what is the total area of rectangle?

Answers

Answer:

s² = lw

s = 40      w= 25cm

s² = lh

(40cm)² = (25cm)

1 600 cm² = 25cm L

L = 64 cm

The length is 64 cm

Area of Rectangle = length(width)

Area = 64cm(25cm)

Area = 1 600 cm²

Which is correct because the statement is, the area of a square ( 1 600 cm²) is equal to area of the rectangle ( 1 600 cm²)

Therefore the area of rectangle is 1 600 cm²

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Kara is flying to Hawaii. If her packed suitcase weighs more than 50 pounds
when she checks in at the airport, she will have to pay a fee. Her empty suitcase
weighs 11.3 pounds, and she has to pack all her camera equipment, which
weighs 14.25 pounds. To stay under the weight limit, what is the maximum
possible weight of her other packed items?

Answers

24.45lbs would be how much weight you have left to fill

2 3X Find the solution set for each of the following equations. a 20x² + 10x -8=0 b x² − 8x + 15 = 0 3X C​

Answers

The Solution set of the given quadratic equations are

1. x = 5 or x = 3

2. x= -3/2 or x =  5

What is quadratic equation?

A Quadratic equation is an algebraic expression in which highest degree of the given variable is 2.

Formula used as x² +ax + b = (x + c)(x + d)

Where 'a' is the sum 'c' and 'd' and 'b' is the product of 'c' and 'd'

According to the information, Factorize all the given quadratic equations we get;

1. x² - 8x + 15 =0

Now Split middle term of quadratic equation using formula we get,

 x² - 5x - 3x + 15 =0

⇒ x(x- 5) -3(x - 5) =0

⇒(x -5)(x - 3) =0

⇒ x- 5 =0 or x - 3 =0

⇒ x= 5 or x = 3

2. 20x² + 10x -8=0

Now Split middle term of quadratic equation using formula we get,

10x² + 5x - 4 = 0

⇒ 2x(x-5) +3(x-5)=0

⇒(2x+3)(x-5)=0

⇒2x+3 =0 or x-5 =0

⇒ x= -3/2 or x=5

Hence, the solution set are

1. x = 5 or x = 3

2. x= -3/2 or x =  5

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By first rounding Both number to 1 significant figure estimate the answer to 13 x 378

Answers

The solution is A = 4000

The equation after rounding up numbers is A = 10 x 400 = 4000

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = p

The value of p = 13

Let the second number be = q

The value of q = 378

Rounding the number p to 1 significant figure , p = 10

Rounding the number q to 1 significant number q = 400

So , the equation is A = p x q

Substituting the values in the equation , we get

A = 10 x 400

The value of A = 4000

Hence , The equation after rounding up numbers is A = 10 x 400 = 4000

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27 POINTS!! The price of 2 items in P and Q come to a ratio of 4:5. When the price of P is increased of $12 and the price of Q is reduced by $6,the items have the same price. Find the original price of P

Answers

The original price P will be $72

To find the ratios

If we know that the ratio from P to Q is 4:5, we can multiply both sides by y (y = amount multiplied) to get our numbers.

4 × y =?

5 × y =?

We need to input a value in for y.

Let's put 9.

4 × 9 = 36 (P)

5 × 9 = 45 (Q)

Now adding 12 to P, and take away 6 from Q.

36 + 12 = 48

45 - 6 = 39

The numbers aren't the same yet.

Let's use a different value for y.

y = 18

The equations will now look like this:

4 × 18 = 72 (P)

5 × 18 = 90 (Q)

Let's add 12 and 6 to the numbers again.

72 + 12 = 84

90 - 6 = 84

The numbers are now equal

Therefore, the original price of P = $72

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whats the distributive property Choose the correct answerHe was wearing some old shorts and ............... T-shirt.sneeringgrubbyjibe What is the measurement of S and T Pls help! giving thanks. What is the slope of the line (picture above) A married couple plans to have children. The wife has blue eyes (a recessive trait) and her husband has brown eyes (a dominant trait). The husbands mother had blue eyes. What percentage of their children could possibly have blue eyes? How did President Clinton respond to the terrorist attack in Oklahoma City?He closed all federal buildings in Oklahoma.He signed a new antiterrorism law.He outlawed groups that opposed the federal government. i need help on my math test im not sure how to find the GCF of an equation so please help me PLEASE HELP! 10 POINTS. why does andrew jackson justify the native American policy Teniendo en cuenta problemticas de la biologa o de su aprendizaje ,pensar un tema investigar desde el enfoque cualita tivo y otro desde el enfoque cuantitativo Summarize Act 3 of Julius Caesar in 6 words Fill in the blanks with the correct article. The gender of the noun is given.Jener grosse Mann hatFrau (fem.) Blumen gekauft.diedasdemder The polygons are similar. Find the value of x. The Crunchy Granola Company is a diversified food company that specializes in all natural foods. The company has three operating divisions organized as investment centers. Condensed data taken from the records of the three divisions for the year ended June 30, 20Y7, are as follows: Cereal Division Snack Cake Division Retail Bakeries Division Sales $25,000,000 $8,000,000 $9,750,000 Cost of goods sold 16,670,000 5,575,000 6,795,000 Operating expenses 7,330,000 1,945,000 2,272,500 Invested assets 10,000,000 4,000,000 6,500,000The management of The Crunchy Granola Company is evaluating each division as a basis for planning a future expansion of operations.Required:1. Prepare condensed divisional income statements for the three divisions, assuming that there were no service department charges.2. Using the DuPont formula for rate of return on investment, compute the profit margin, investment turnover, and rate of return on investment for each division.3. If available funds permit the expansion of operations of only one division, which of the divisions would you recommend for expansion? A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 weredefective. A store clerk generates random numbers to simulate a random sample of this shipment. Theclerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through5,000 represent working MP3 players. The results are given.638 430 240 3,932 4,477 670 3,059 13 3,144 3,844Based on this sample, how many of the MP3 players might the clerk predict would be defective?The manager would expectdefective players in the shipment. How many moles of H2 can be made from the complete reaction of 1.5 moles of Al? Given: 2 Al + 6 HCl 2 AlCl3. + 3 H2 How did making Egypt a protectorate fuelnationalist discontent in Egypt? Helpp please ASAP I will mark you Brainliest 2. Felix visited a math website that featureda random number generator. He used thegenerator to create a list of five randomintegers. felix found the correct sum of the five integers. what is the correct sum? The fictional element Nt contains atoms with two valence electrons. Which type of intermolecular force is most likely responsible for the properties of NtF2?O dipole-dipole forcesO ion-ion forcesO hydrogen bondingO dispersion forces