A brand of cereal had 1.2 milligrams of iron per serving. Then they changed their recipe so they had 1.8 mg of iron per serving.

Answers

Answer 1

Using it's concept, it is found that the percent increase in the amount of iron per serving was of 50%.

What is the percentage increase of a value?

It is given by the increase divided by the initial value, and subtracted by 100%.

In this problem:

The initial value is of 1.2 mg.The increase was of 1.8 mg - 1.2 mg = 0.6 mg.

Hence the percent increase is given by:

P = 0.6/1.2 x 100% = 50%.

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Related Questions

please help I need this done today

Answers

Answer: 45 degrees

Step-by-step explanation:

90-45 = 45

90-45 equals 45

45 degrees

can someone do this for me please?! Just the answer pls

Answers

Answer:

see the attachment photo!

Answer this for 28 points

Answers

Answer: I think B

Step-by-step explanation:

Which is not a function?

Can give brainliest!!

Answers

Answer:

Number #1

Step-by-step explanation:

#1 isn't a function

Answer:

Choice 3 is not a function.

Step-by-step explanation:

Reason: It has points (1,3) and (1,7). X cannot repeat otherwise it is not a function.

Hope this helps!

If not, I am sorry.

solve x - 23 = 57 ⅔ x = 7

Answers

Step-by-step explanation:

[tex]x - 23 = 57 \\ x = 57 + 23 \\ x =80 \\ \\ \frac{2}{3}x = 7 \\ ( \frac{3}{2}) \frac{2}{3}x = 7( \frac{3}{2}) \\ x = \frac{21}{2} [/tex]

If you rolled two dice, what is the probability
that you would roll a sum of 4?
Give your answer as a simplified fraction.

Answers

Answer:

1/36.

Step-by-step explanation:

A total number of possible outcomes = 36.

To get a sum of 12 the possible outcomes are just 6,6.

It’s a 37% chance of 100, there’s only 6 numbers on a dice

Let R be the region in the first quadrant enclosed by the graph y=(square root(6x+4)), the line y=2x, and the y-axis. . . .Set up but do not integrate an integral,expression in terms of a single variable for the volume of the solid generated when R is revolved about the y axis

Answers

The two boundary curves y = √(6x + 4) and y = 2x meet at

√(6x + 4) = 2x

6x + 4 = 4x²

2x² - 3x - 2 = 0

(x - 2) (2x + 1) = 0

⇒   x = -1/2 and x = 2

R is bounded to the left by the y-axis (x = 0), so R is the set

R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}

Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of

2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x

and as we let ∆x approach zero, the total volume of the solid is given by the definite integral

[tex]\displaystyle \boxed{2\pi \int_0^2 x \left(\sqrt{6x + 4} - 2x\right) \, dx}[/tex]

Are the two triangles similar? How do you know? (image attached)

Answers

Answer:

no

Step-by-step explanation:

they're not same because no angles are mentioned and sides are diff too

53, 13, 34, 41, 26,61, 34, 13,69 mean median mode and range

Answers

Answer:

mean 38.22

median 34

mode 13 & 34

range 56

Step-by-step explanation:

mean- add all values together and divide by number of values

median- order from least to greatest find the middle value

mode- the value that appears most often, can be more than one value

range- smallest value subtracted from the largest

Write the slope intercept form of each equation of the line. Use a fraction for slope if needed.

Parallel to y=−3/4x, through (4, -1)

Answers

Answer:

y = -3/4x + 2

Step-by-step explanation:

The line is parallel to y = -3/4x and passes through the point (4, -1)

=============================================================

Solving :

⇒ As they are parallel, the slope remains the same (-3/4)

Now apply into the point slope formula :

⇒ y + 1 = -3/4 (x - 4)

⇒ y + 1 = -3/4x + 3

y = -3/4x + 2 [in slope-intercept form]

If f(x)=(4x-3) / 2 and g(x) =(2x+3) / 4, which of the following is true?

A f(g(x)) =1
B f(g (x)) = 0
C f(g(x))=-1
D f(g(x)) = x

Answers

Answer:

f(g(x))= x

Step-by-step explanation:

f(x)=(4x-3)/2

g(x) =(2x+3)/4

f(g(x)) means use the value obtained from g(x) in the equation defined by f(x).  Since g(x) =(2x+3)/4, we can substitute (2x+3)/4 in place of the x in f(x).

If f(x)=(4x-3)/2 then use the expression (2x+3)/4 in place of "x" in (4x-3)/2

f(x)  =    (4x-3)/2

g(x) =       (2x+3)/4

f(g(x))=(4((2x+3)/4)-3)/2

f(g(x))=(((8x+12)/4)-3)/2

f(g(x))= (2x+3-3)/2

f(g(x))= 2x/2

f(g(x))= x

How many solutions are there to the equation?
2x + 3 = 2x + 7

Answers

Answer:

this equation has no solutions.

Step-by-step explanation:

2x+3 = 2x+7

3=7

After years of successful existence, a company producing Smart TV formulated an equation for the cost P of manufacturing n number of television sets. The equation is P(n)=1200n+700. Find the cost of 50 television set.
a. Php 59,300
b. Php 60,000
c. Php 60,700
d. Php 61,200

Answers

Put n=50

P(50)

1200(50)+70060000+70060700

Option C

Answer:

C

Step-by-step explanation:

To find the cost for 50 televisions:

We put the value of n=50

P(50)

1200(50)+700

60000+700

60, 700

Option C

A certain planet has a day length of 24 hours. the planet is totally covered in water,
except for one small island. at hour 0, the island has 100% light with the planet's star
in the top of the sky. at hour 12, the island has 0% light and is in total darkness.
write an equation that models the amount of light in the sky on the island in terms
of hours passed.

Answers

Answer:

above

Step-by-step explanation:

the entire method for the question is linked above :)

Find the area of the complex figure

Answers

Area should be 60 cm squared.

does someone mind helping me with this question? Thank you!

Answers

Answer:

60

Step-by-step explanation:

Use PEMDAS (parentheses, exponent, multiply, divide, addition, subtraction)

First, substitute 5 for x:

3(3(5) + 5)

Multipliy inside the parentheses:

3(15 + 5)

Add inside the parentheses:

3(20)

Multiply:

60

There's your answer! Hope I helped.

i got 60. multiply 3 and x which x in this case is 5 which gets you 15 then add 15 and 5 which is 20 then multiply 20 and 3 which is 60

(HELP FAST) I need help with this geometry question

Answers

Answer: no

Step-by-step explanation:

The ratio of the shorter sides is 27/5, which is equal to 3.4.

The ratio of the longer sides is 78/9, which is about 8.7.

Since the ratio of the longer sides is not equal to the ratio of the shorter sides, it is not a dilation.

Which equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17)?

Answers

Answer: y - 17 = -2(x-7)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

   = 9+17/-6-7

   = 26/-13

   = -2

y1 = -17

x1 = 7

y - 17 = -2(x-7)

The equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

What is the general equation of a straight line?

The general equation of a straight line is-

y = mx + c

where, m is the gradient and is given by y₂ - y₁/x₂ - x₁

and, c is the value where the line cuts y-axis.

Now it is given that the line passes through points (−6,9) and (7,−17)

Therefore we have,

x₁ = -6, y₁ = 9, x₂ = 7, y₂ = -17

So, the slope m of the line is given as,

m = (y₂ - y₁)/(x₂ - x₁)

Put the values,

m = (-17 - 9)/(7 - (-6))

m = -26/7+6

m = -26/13

m = -2

Thus, the equation parallel to the line will be given as:

y - y₁ =  m(x - x₁)

y - 9 =  -2{x - (-6)}

y - 9 =  -2(x + 6)

y =  -2x - 12 + 9

y =  -2x - 3

Thus, the equation represents a line that is parallel to the line that passes through the points (−6,9) and (7,−17) is y =  -2x - 3

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Triangle ABC is an isosceles right triangle. What is the measure of one base angle?

Answers

Answer:

45°

Step-by-step explanation:

ΔABC is an isosceles right triangle. So, one angle is 90°

In an isosceles triangle, base angles are congruent.

Let the base angles be x ,x

x + x +90 = 180 {Angle sum property}

   2x + 90 = 180

          2x  = 180 - 90

          2x = 90

            x = 90/2

           x = 45

Base angle = 45°

In a a computer game positive numbers represent earning points and negatiive numbers represents.wich number represents losing more than 500 points

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,

x< -500

Hence, the expression that represents losing more than 500 points is x<-500.

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Kyle recorded his height, in inches, from age 6 to age 18. The graph below shows the data that he recorded as a function of his height over time. Kyle plotted many of the points from memory, but has some accurate data from old medical records. His two most accurately plotted points occurred at age 6 with a height of 45 inches and at age 18 with a height of 75 inches. Use these two data points to determine the equation for the line of best fit for Kyle's data.

Answers

Answer:

you probably moved on, but for everyone else:

y= 5/2x + 30

Step-by-step explanation:

Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
y
1
16
2
8
3
0
4
-8
5
-16
A. The data represent an exponential function because there is a
common ratio of 2.
B. The data represent a linear function because there is a common
difference of 8.
OC. The data represent a linear function because there is a common
difference of -8.
D. The data represent an exponential function because there is a
common ratio of 1

Answers

Answer:

A data represent an exponential function because there is a common ratio of 1

unit rate for typing 34 words in a minute in a half

Answers

Answer:

Rate is 1.1333 words per second

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

[tex]{ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\ [/tex]

Let's find rate in terms of seconds (words per second)

[tex]{ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}[/tex]

i been asking for help since yesterday
Use the graph above to complete problems 1 - 5.

Mary is planning a costume party. She spent $375.00 as shown on the graph. How much of the money was spent, to the nearest dollar, on the following items?

1) On decorations?

2) On food?

3) On party hall rental?

4) On prizes?

5) On invitations?

Answers

This one is extremely simple, and we can use the color coded pie chart to find the cost of each of the 5 things.

For the first, decorations, Mary spent $?? as shown by the blue triangle on the pie chart. Let’s get the other ones first to total the money left over.

For the second, she spent $65 on food, as shown by the green triangle on the pie chart.

For the third, she spent $80 on party hall rental, as shown by the blue triangle on the pie chart.

For the fourth, she spent $30 on prizes, as shown by the dark blue triangle.

And for the fifth one, she spent $45 on invitations. A bit too expensive if you ask me.

Then we add all the costs together, and get 220. After adding the extra costs such as candy, costumes, and music, we get a total of $345. We would subtract this from $375 to get a total of $30 left over, which was spent on decorations. The ??? value of the light blue triangle is $30.

Hope this helps!

Blank + -5 = -63................................

Answers

Answer:

-58

Step-by-step explanation:

x + -5 = -63

x = -63+(-5)

x =- 58

what is the polar coordinate of (0, pie)

Answers

Answer:

The angle's beginning and ending points are referred to as the initial and terminal sides, respectively. Distance from the origin and two angles are the three parameters of 3D polar coordinates or spherical coordinates. is a three-dimensional polar coordinate.

Step-by-step explanation:

Read above.

Zack has 2 feet of balsa wood. he needs twice that amount to finish a project. the cost is $0.05 per inch. how much will the balsa wood cost zack.

Answers

Answer:

$1.2

Step-by-step explanation:

There is 12 inches in a foot, and if he needs twice the amount he already has which is 4 then you would multiply 0.05 times 24 and you would get $1.2

Answer: $1.20 for 2 feet of balsa wood

Step-by-step explanation: There are 12 inches in 1 foot, and 24 inches in 2 feet. The cost per inch is 0.05, multiplying 24 (inches) x 0.05 (the cost per inch) would equal $1.20

This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Last Week's High Temperatures (°F)
44, 31, 66, 32, 26, 58, 78
Which measures of center and variability for the
temperatures were lower this week than last week?
Check all that apply.
mean
median
mode
range
mean absolute deviation
Done

Answers

The measures of center and variability for the

temperatures that were lower this week than last week include mean, range, mean absolute deviation.

What is a mean?

It should be noted that a mean simply means the average set if numbers given.

Also, the range is the difference between the highest number and the lowest number in the data.

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Answer:

mean,range,mean absolute deviation

Step-by-step explanation:

just took it on edge

PLEASE HELP!!! find the area of the shaded triangle

Answers

Area of whole triangle= 8ft
Area of unshaded region= 4ft
8-4= 4 square feet

Answer:

4 ft squared

Step-by-step explanation:

2 add 2 is 4

4 multiplied by 4 is 16

16 divided by 2 is 8

8 divided by 2 is 4

You need to invest $1000 in a bank account and are give two options. The first option is to earn $50 every month you leave the money in the account. The second one is to earn 3% interest each month. Describe each of these two functions and make a table of values for each for several months. Which account would you choose?

Answers

Answer:

Option 1

Earn $50 every month.

Let x = number of months the money is left in the accountLet y = the amount in the accountInitial amount = $1,000

[tex]\implies y = 50x + 1000[/tex]

This is a linear function.

Option 2

Earn 3% interest each month.

(Assuming the interest earned each month is compounding interest.)

Let x = number of months the money is left in the accountLet y = the amount in the accountInitial amount = $1,000

[tex]\implies y = 1000(1.03)^x[/tex]

This is an exponential function.

Table of values

[tex]\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}[/tex]

From the table of values, it appears that Account Option 1 is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month.  To find this, graph the two functions and find the point of intersection.

From the attached graph, Account Option 1 accrues more until month 32.  From month 33, Account Option 2 accrues more in the account.

Conclusion

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice.  However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

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