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3 years ago

Find the inverse of the linear function: y = 1/2 x + 3

1 answer:

6 0

What you want to do is change the variable positions of X and Y
So it would be a new equation of
x = 1/2y + 3
Then you would need Y to be by itself so you solve for that
x-3 = 1/2 y
then,
2(x-3) = y
Your inverse function is 2(x-3) = y
Hope this helped :D

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Clifford is making a really big white cake for his sisters birthday. The recipe calls for 1.5 times as much flour as sugar. It a

pantera1 [17]

Answer:

The amount of butter, sugar and flour does Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 butter

Explanation:

Consider the number of cup of flour used to be x

According to question,

Recipe calls for 1.5 times as much flour as sugar

Sugar = $1.5 \times Flour$

Sugar = 1.5x

Butter = ½ x = 0.5x

According to question,

Flour + Sugar + Butter = 7.5

x + 1.5x + 0.5x = 7.5

3x = 7.5

x = 2.5

Sugar = 1.5x = 1.5(2.5) = 3.75

Butter = 0.5(2.5) = 1.25

Clifford need is 2.5 cups flour, 3.75 cups sugar and 1.25 cups butter

3 0

3 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth

Vesna [10]

Answer:

V = 1206.3 $ft^{3}$

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = $\pi$ $r^{2}$ x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = $\pi$ x $8^{2}$ x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = $\frac{\pi r^{2}h }{3}$ . This is the area of the circular part of the cone ( $\pi r^{2}$ ), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = $\frac{\pi 8^{2} 6 }{3}$ (On the top it's $\pi$ x $8^{2}$ x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 $ft^{3}$

7 0

3 years ago

Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of

pickupchik [31]

The answer is She went over by one over six of a cup

1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g

64 grams of chocolate powder is x cups.
1c = 128g
x = 64g

1c : 128 g = x : 64g
x = 1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups

She added two over three of a cup of chocolate powder: 2/3 cups

She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups

So she added 4/6 - 3/6 = 1/6 cups more.

5 0

3 years ago

When creating a histogram, the first recorded scale is 0 to 10. What should the second scale indicate?

klio [65]

Answer:

A) 10-20

Step-by-step explanation:

Its A because it started with 0 and it went to 10 so it adds 10 each time cause it gave us the hint with 0 to 10,

I hope this helps

6 0

2 years ago

A scoop used to measure

slega [8]

Answer:

Step-by-step explanation:

V=pi (r squared) (h/3)

75pi = 25pi (h/3)

Divide both sides by 25 pi

3= h/3

Multiply both sides by 3

h=9

5 0

3 years ago