For Anthony’s birthday his mother is making cupcakes for his 12 friends as daycare. The recipe calls for 3 1/2 cups of flour. This recipe makes 2 1/2 dozen cupcakes. Anthony‘s mother only has one cup of flour. Is there enough flour for each of his friends to get a cupcake.

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[tex]\large\boxed{y = 2x + 6}[/tex]

A line that is parallel to y = 2x + 3 must have the same slope of 2. Therefore:

We can use the given point as well as the slope-intercept formula y = mx + b to solve.

Plug in the x-coordinate for "x" and y-coordinate of the point into "y":

2 = 2(-2) + b

2 = -4 + b

6 = b

Rewrite the equation:

y = 2x + 6

Answer:

$43.2

Step-by-step explanation:

32.4÷15=2.16

2.16×20=43.2

The cost of purchasing 20 gallons of gas will be $43.2.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The costs Jason $32.40 to purchase 15 gallons of gas.

Now,

Let the cost of purchasing 20 gallons of gas = x

Since, The costs Jason $32.40 to purchase 15 gallons of gas.

So, By definition of proportion we get;

⇒ $32.40/15 = x / 20

⇒ 32.40 × 20 / 15 = x

⇒ x = $43.2

Thus, The cost of purchasing 20 gallons of gas = $43.2

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Answer: x=42

Step-by-step explanation:2x+2x+12=4x+12=180 so 180-12=4x

If the given points in the table lie on a line, then the slope of a line is, 4

Slope is a ratio of change in y-coordinate w.r.t. change in x-coordinate. The net change in y coordinate is written as, Δy and the net change in x coordinate is written as, Δx.

So formula for the slope is,

m = change in y coordinate/change in x coordinate = Δy/Δx

Given that,

Coordinates of a point through which line is passing,

X:   1    3    5    7

Y:   2   10  18  26

The slope of a line  =  ?

The slope of a line can be calculated by finding the rise (difference in the y-values) over the run (difference in the x-values) between two points on the line.

Now, Using the first and last points in the table:

First point- (1, 2)

Second Point- (7, 26)

Slope =  (y₂ - y₁)/(x₂ - x₁)

Slope = (26 - 2) / (7 - 1)

          = 24 / 6

          = 4

The slope of the line is 4.

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Answer:

The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.

Answer: x = -1

Step-by-step explanation: Insert all the numbers into x, and when you insert -1 to x, you get 40.

Answer:

x = - 1

Step-by-step explanation:

Given

- 4(3x - 7) = 40 ( divide both sides by - 4 )

3x - 7 = - 10 ( add 7 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

Answer:

The factors are 2,3,4,5,8,10

Step-by-step explanation:

Here, we want to list out the factors that can divide 33, 424 and 380

The factors include;

2, 3 , 4 , 5, 8, 10

Kindly note that each of these factors can divide at least one of the listed numbers

Answer:

8%

Step-by-step explanation:

Mathematically, the probability of an event can be obtained by dividing the expected number in which event will turn up divided by the total number we have in the sample space

From the question, the total number of times in which the experiment is performed is 38 times

The number of times we have the peach chew selected is 3 times

So the probability that the next removal will be a peach chew will be;

3/38 = 0.079

This as a percent is 7.9%

To the nearest whole number, this figure is 8%

Answer:

As

[tex]\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1[/tex]

Therefore, option D is the correct answer is.

Step-by-step explanation:

Given the expression

[tex]\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)[/tex]

solving to simplify the expression

[tex]\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)[/tex]

[tex]=x^3+2x^2+5-\left(8x^2-4x+6\right)[/tex]        ∵  [tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=x^3+2x^2+5-\left(8x^2-4x+6\right)[/tex]

[tex]=x^3+2x^2+5-8x^2+4x-6[/tex]

Group like terms

[tex]=x^3+2x^2-8x^2+4x+5-6[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:2x^2-8x^2=-6x^2[/tex]

[tex]=x^3-6x^2+4x+5-6[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:5-6=-1[/tex]

[tex]=x^3-6x^2+4x-1[/tex]

Therefore, the simplified form of the expression is

[tex]\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1[/tex]

Therefore, option D is the correct answer is.

9514 1404 393

Answer:

  4/25

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  [tex]\left(2\cdot\dfrac{-1}{2}\cdot\dfrac{2}{5}\right)^2=\left(\dfrac{-2}{5}\right)^2=\dfrac{(-2)^2}{5^2}=\boxed{\dfrac{4}{25}}[/tex]

Answer:

Length = 22 ft

Width = 6 ft

Step-by-step explanation:

Let the width of the tarpaulin be x meters.

Therefore, length = 3x + 3

Area of tarpaulin = 126 ft²

[tex]x(3x + 3) = 126 \\ \\ 3x(x + 1) = 126 \\ \\ {x}^{2} + x = \frac{126}{3} \\ \\ {x}^{2} + x = 42 \\ \\ {x}^{2} + x - 42 = 0 \\ \\ {x}^{2} + 7x - 6x - 42 = 0 \\ \\ x(x + 7) - 6( {x + 7)} = 0 \\ \\ (x + 7)(x - 6) = 0 \\ \\ x + 7 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 7 \: \: or \: \: x = 6 \\ \\ \because \: x \: is \: side \: length \\ \therefore \: it \: can \: not \: be \: negative \\ \implies \: x \notin - 7 \\ \\ \implies \: x = 6 \\ \\ 3x + 3 = 3 \times 6 + 3 \\ \\ 3x + 3 = 18 + 3 \\ \\ 3x + 3 = 21 \\ \\ length \: of \:the \: tarpaulin \: = 21 \: ft \\ \\ width \: of \: the\: tarpaulin \: = 6 \: ft \\ [/tex]

Answer:

240 should be the answer

Step-by-step explanation:

80% of 300 is 240

Answer:

The correct answer would be 240. If you start at 10 percent which already gives you 30 then continue to go up. Move on by 10 percent until you get to 80 percent which is the amount of televisions that are high definition. Once you count by 10 percent with 30 everyitme you will lead to the answer of 240.

Step-by-step explanation:

Just count by 30’s eight times and you get your answer which I supplied above. I hope this helps.

-Vizion

Answer:

If m<1 = 38 then m<4 = 38

Step-by-step explanation:

Both of the angles equal 38 degrees. This is true because the angles are vertical, vertical angles are angles opposite each other where two lines cross. Vertical angles are also always congruent, therefore the m<4=38.

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

This line goes down 1 unit and right 2 units.

Answer: 0,16,32,48,64

Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16

The discrete graph for the function rule is plotted and the coach will buy 8 basketballs for $128.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the amount which a basketball coach spends at a sporting goods store and it depends on the number of basketballs the coach buys. The situation is represented by the function rule a = 16b.

The given equation is -

a = 16b

where -

[a] represents the amount spend by the basketball coach.

[b] represents the number of basketballs buyed.

The table is given as follows -

[b]                 [a]

0                    0

1                    16

2                   32

3                   48

4                   64

The graph of the representing the function rule - a = 16b is attached with the answer. The graph is discrete as number of basketballs cannot exist in fractions. This means the possible values of [b] will be whole numbers only.

PART - B

If coach spent $128, then the number of footballs bought will be -

b = 128/16

b = 8

Number of footballs bought were 8.

Therefore, the discrete graph for the function rule is plotted and the coach will buy 8 basketballs for $128.

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Answer:

13(b - 1)

I hope it is. tell me if I'm wrong

Answer:

Step-by-step explanation:

14

Answer:

7

Step-by-step explanation:

Answer:

C = 0.68w + 3.25t

C is total cost

Step-by-step explanation:

Answer:

Join Zoom Meeting  

Meeting ID: 385 546 8984

Passcode: icecream4

Step-by-step explanation:

Answer:

whatever x is, add one and that is y.

-x? add 21 and that is also y.

do not change x, and plot the point.

Answer: the answer is just 2

Answer:

u=10 the fraction simplified once you plug in u would be 4

Answer:

it means left 4 and up 5

Step-by-step explanation:

I took the test

Answer:

B: 8,9,10

Step-by-step explanation:

Answer:

Of or relating to vertigo, often experiencing dizziness

Explanation:

Verticle describes something that rises straight up from a horizontal line or plane. For more information take a look at the picture below.

Have a beautiful day! v(⌒o⌒)v♪

something 8 guess Im just saying stuff haahaa

Answer:

y = 9x cents

y = (36 + 3x) cents

Step-by-step explanation:

Given that:

Newtown telephone company :

Fee per minute = 9c

Tyrus company :

Fee per minute = 3c

Connection fee = 36c

Cost equation :

y = total cost for each phone call:

x = minutes phone call last ;

Newton Company :

y = (fee per minute * minute phone call last)

y = 9 * x

y = 9x cents

Tyrus Company:

y = (connection fee + (fee per minute * minute phone call last))

y = (36 + (3 * x))

y = (36 + 3x) cents

Answer:

-24b

Step-by-step explanation:

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