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3 years ago

8

Andre makes green paint by mixing 5 cups of yellow paint with 2 cups of blue paint. Let y represent the cups of yellow paint and

b represent the cups of blue paint.
Which equation shows the relationship between y and b?

1 answer:

Yanka [14]3 years ago

3 0

your third option my guy

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You are building a dining room table for family dinners. The table has a length of 3x + 1 feet and a width of 3x - 1 feet. If th

igor_vitrenko [27]

Answer:

Length 7 feet and Width 5 feet

Step-by-step explanation:

we know that

The area of the rectangle ( a dining room table) is equal to

$A=LW$

where

$L=(3x+1)\ ft$

$W=(3x-1)\ ft$

$A=35\ ft^2$

substitute

$35=(3x+1)(3x-1)$

Apply difference of squares right side

$35=9x^2-1$

$9x^2=36\\x^2=4\\x=\pm2$

Remember that the length cannot be a negative number

so

x=2

<em>Find the length</em>

$L=(3(2)+1)=7\ ft$

<em>Find the width </em>

$W=(3(2)-1)=5\ ft$

7 0

3 years ago

klasskru [66]

Answer:

16 times

Step-by-step explanation:

$\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

$\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h$

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so <u>16 times greater </u>than the smaller cone.

<h3><u>Proof</u></h3>

Given:

radius = 6
height = 9

Substituting the given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units$

If the radius is quadrupled:

radius = 6 × 4 = 24
height = 9

Substituting the new given values into the formula:

$\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units$

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

$\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16$

So the volume of the larger cone is <u>16 times greater</u> than the volume of the smaller cone.

4 0

2 years ago

Read 2 more answers

jean and mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete

Bad White [126]

----------------------------------------------
Calculate Jean's rate
----------------------------------------------
Jean takes 8 hours to fill the pool.
So in 1 hour, she can fill 1/8 of the pool

----------------------------------------------
Calculate Mark's rate
----------------------------------------------
Mark takes 12 hours to fill the pool.
So in 1 hour, he can fill 1/12 of the pool.

----------------------------------------------
Calculate their rate if they work together
----------------------------------------------
Jean = 1/8
Mark = 1/12
1/8 + 1/12 = 3/24 + 2/24 = 5/24
They will fill 5/24 of the pool in 1 hour

----------------------------------------------
Find number of hours needed to fill up the pool
----------------------------------------------
I hour = 5/24 of the pool
1 ÷ 5/24 hour = 5/24 ÷ 5/24 of the pool
24/5 hour = Whole pool

Whole pool = 24/5 hours
Whole pool = 4 4/5 hours or 4.8 hours

----------------------------------------------
Ans: The supervisor is not correct, it will take only 4.8 hours if both of them work together.
----------------------------------------------

5 0

3 years ago

8. A warehouse 25 feet tall casts a shadow that is 15 feet long. At the same time of day, how

Scilla [17]

Answer:

D

Step-by-step explanation:

8 0

3 years ago

2x+2y+2x+2y+2x+2y+2x+2y+2x+2y+2x+2y<br> eh...

marysya [2.9K]

Answer:

6x + 6y just add all the 2x then 2y

6 0

3 years ago

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