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3 years ago

6

Determine whether each number sentence 15×432=(50×400)+(50×32)

1 answer:

astraxan [27]3 years ago

5 0

I think the answer is 2,050

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Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

USPshnik [31]

Answer:

$\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used

Step-by-step explanation:

Daniel uses the proportions of $\dfrac{2}{3}$ cups of orange juice and $\dfrac{1}{4}$ cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

$\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}$

So for one cup of carrot juice $\dfrac{8}{3}\ \text{cups of orange juice}$ or $2\dfrac{2}{3}\ \text{cups of orange juice}$ is used.

4 0

2 years ago

What is the difference in the surface area of two cubes, one with edge 15 and one with an edge of 12

Lilit [14]

Remark

A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.

Step One

Find the surface area of the larger cube.

Area = 6 *s^2

s = 15

Area = 6 *15^2

Area = 6 * 225

Area = 1350

Step Two

Find the area of the smaller cube

Area = 6s^2

Area = 6 * 12^2

Area = 6 * 144

Area = 864

Step Three

Find the difference

Area1 - Area2 = difference

1350 - 864 = 486

The difference is area = 486 units^2 <<<<< Answer

There is a slightly shorter way. Take out the common factor of 6

Difference = 6 * (15^2 - 12^2)

Difference = 6 * (225 - 144)

Difference = 6 * (81)

Difference = 486

6 0

3 years ago

How to Simplify: (a + 2)(3a - 1')

IrinaVladis [17]

3a to the power of 2 plus 5a minus 2

3 0

3 years ago

Can someone help me :> IF RIGHT...WILL GET DA CROWN UwU

Alex787 [66]

Answer:

$2\ \frac{1}{2}$ $or$ $2.5$

Step-by-step explanation:

$--------------------------------------------$

$1\ \frac{1}{4}+1\ \frac{1}{4}$ = $?$

$or$

$2\cdot1\ \frac{1}{4}$ = $?$

$--------------------------------------------$

$It$ $equals$ $2\ \frac{1}{2}$ $inches$

$--------------------------------------------$

<em>Hope this helps! <3</em>

$--------------------------------------------$

8 0

2 years ago

The enrollment at Temple Junior High School has a change of ─ 60 over a 3 year period. What is the average change per year?

GaryK [48]

Answer:

- 20

Step-by-step explanation:

Total Change in enrollment = - 60

Period of time at which change occurred = 3 years

Average change per year :

Total change in enrollment / period at which change occurred

= - 60 / 3

= - 20

Average change of - 20 enrollments per year

4 0

3 years ago