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3 years ago

Find the solution to the system of equations. x + y + z = 25 y+z= 18 Z= 7

Mathematics

1 answer:

Umnica [9.8K]3 years ago

6 0

Answer:

x=7

y=11

z=7

Step-by-step explanation:

x + y + z = 25

y+z= 18

Z= 7

Substitute the third equation into the second

y+z=18

y+7 = 18

y = 18-7

y = 11

Now substitute y=11 and z=7 into the first

x +y+z = 25

x+11+7 = 25

x+18 = 25

x = 25-18

x=7

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How many quart are 8/1/4 gallons

Westkost [7]

Given:

Consider the given gallons are $8\dfrac{1}{4}$ gallons.

To find:

The number of quarts in $8\dfrac{1}{4}$ gallons.

Solution:

We know that,

1 gallons = 4 quarts

Using this conversion, we get

$8\dfrac{1}{4}\text{ gallons}=4\times 8\dfrac{1}{4}\text{ quarts}$

$8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{32+1}{4}\text{ quarts}$

$8\dfrac{1}{4}\text{ gallons}=4\times \dfrac{33}{4}\text{ quarts}$

$8\dfrac{1}{4}\text{ gallons}=33\text{ quarts}$

Therefore, there are 33 quarts in $8\dfrac{1}{4}$ gallons.

6 0

2 years ago

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

Add these two expressions. (–45t + 53s) and (–3 – 75s + 2t) 65t + 415s – 3 –145t – 115s – 3 –115t + 113s – 3 115t – 415s + 2

serious [3.7K]

Answer:

- 43t - 22s - 3

Step-by-step explanation:

(–45t + 53s) + (–3 – 75s + 2t)

Opening the brackets

-45t + 53s -3 - 75s + 2t

Collecting like terms

-45t + 2t + 53s - 75s -3

Simplify the expression

-43t -22s - 3

4 0

2 years ago

What is the perimeter of the polygon shown below?

yKpoI14uk [10]

Answer:

I don't see the polygon but all you need to do is add up all the sides.

6 0

3 years ago

the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone

kolbaska11 [484]

<h3> given:</h3>

$v = 120 \: {cm}^{3}$

$h = 4.5 \: cm$

the radius of the cone.

<h3>solution:</h3>

$r = \sqrt{3 \frac{v}{\pi \: h} }$

$r = \sqrt{3 \times \frac{120}{\pi \times 4.5} }$

$r = 5.04627 \: cm$

$r = 5.05 \: cm$

hence, the radius of the given cone is 5.05 centimeters.

7 0

2 years ago