2 years ago

Which of the following statements is true about the equations 3m + 7n=8 and 8y+4z=7?

Mathematics

1 answer:

Aneli [31]2 years ago

4 0

Both equations have a coefficient of 8

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How many moles of water are produced when 3.0 moles of hydrogen gas reacts with

Ronch [10]

Answer: 3.0 moles of water.

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2 years ago

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Find the right quotient. 36m 5 n 5 ÷ (12m 3)

polet [3.4K]

ANSWER

The right quotient is

$3 {m}^{2} {n}^{5}$

EXPLANATION

The given expression is :

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} }$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = \frac{36}{12} \times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3\times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

Recall that,

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
We apply this property to obtain;

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 \times {m}^{5 - 3} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 {m}^{2} {n}^{5}$

5 0

2 years ago

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Chase use 1/6 cup of bananas for every 2/3 cup of apples to make a smoothie. Enter the number of cups of bananas Vhase uses for

Reika [66]

Answer:

1/4 cup of bananas

Step-by-step explanation:

1/6 cup of bananas = 2/3 cup of apples

1/6 cup of bananas = 4/6 cup of apples

1/24 (1/6 ÷ 4 since 4/6 cup of apples is 4 units and we need 1 unit) cup of bananas = 1/6 cup of apples

1 cup of apples = 1/4 (1/24 x 6 for 6 units) cup of bananas

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3 years ago

A triangular window is above the door to a cafe. The base of the window is 12 ft, and the height is 10 ft. What is the area of t

Tcecarenko [31]

The area of the window is 120 ft.

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2 years ago

Angle Terminology with Equations

Sergeeva-Olga [200]

Answer:

∠ B = 54°

Step-by-step explanation:

Supplementary angles sum to 180°.

Sum A and B and equate to 180, that is

7x + 14 + 5x - 26 = 180, that is

12x - 12 = 180 ( add 12 to both sides )

12x = 192 ( divide both sides by 12 )

x = 16

Thus

∠ B = 5x - 26 = 5(16) - 26 = 80 - 26 = 54°

5 0

3 years ago