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3 years ago

Use the distributive property to simplify each expression 2/3(69-9)

Mathematics

1 answer:

7nadin3 [17]3 years ago

5 0

The answer would be 40.
Do 69-9 which gives you 60. And then 2/3 / 60 (divide 60 by 3) and you get 20. 20*2=40

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PLS HELP 50 POINTS

PtichkaEL [24]

Answer:

$\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3$

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}$

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3$

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=\frac{8}{27}$

Upon substituting volume of prism made by triangle PQR we will get,

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{in}^3}=\frac{8}{27}$

Let us multiply both sides of our equation by 7776 cubic inches.

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{ in}^3}*7776\text{ in}^3=\frac{8}{27}*7776\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=8*288\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=2304\text{ in}^3$

Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.

7 0

3 years ago

What is the slope of the line shown?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Pick two points

(2,0) and (3,2)

Then use the slope formula

m= (y2-y1)/(x2-x1)

= (2-0)/(3-2)

= 2/1

7 0

3 years ago

The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A = {Monday, Tuesday,Wednesday, Th

Varvara68 [4.7K]

Answer:

{Monday, Tuesday, Wednesday, Thursday}

Step-by-step explanation:

First we need to get the complement of B i.e B'

B' are the set in the Universal set but that are not in B

B' = {Monday, Tuesday, Wednesday, Thursday}

A= {Monday, Tuesday, Wednesday, Thursday, Friday}

A intersect B ' are the days of the week that are common to both sets;

A intersect B ' = {Monday, Tuesday, Wednesday, Thursday}

6 0

2 years ago

Divide: 1213 ÷ 9 = A)

kolezko [41]

It’s A

1213 divided by 9 is equal to 134.777778

So it is 134 R7

But if it’s rounded to the nearest then it is C.

4 0

3 years ago

5x + 2 + 3x + 5 = ?

Mama L [17]

Answer: 8x + 7 = ?

Step-by-step explanation: There isn't anything on the other side so all I can do is simplify the left.

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2 years ago