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2 years ago

Look at image please answer both

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

6 0

6. The system of equations has no solution.

7. B. Tables - 15 lbs, chairs - 3.5 lbs.

<h3>How to Find the Solution to the System of Equations?</h3>

The values of x and y that makes two equations equal is the solution of a system of equations.

6. 3x + 4y = 12 --> eqn. 1

y = 3 - 3/4x --> eqn. 2

Substitute y = (3 - 3/4x) into eqn. 1 to find x:

3x + 4(3 - 3/4x) = 12

3x + 12 - 3x = 12

12 = 12 [unable to solve further for x]

This means that the system of equations has no solution.

7. t = tables

c = chairs

3t + 5c = 62.5 --> eqn. 1

3t + 2c = 52 --> eqn. 2

Subtract

3c = 10.5

c = 3.5 [chairs]

Substitute c = 3.5 into eqn. 2

3t + 2(3.5) = 52

3t + 7 = 52

3t = 52 - 7

3t = 45

t = 15 [table]

Therefore, the answer is: B. Tables - 15 lbs, chairs - 3.5 lbs.

Learn more about solution of a system of equations on:

brainly.com/question/867837

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Step-by-step explanation:

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3 years ago

Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!

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Answer:

1. $\approx 10 \ cm^2$

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Step-by-step explanation:

1. What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?

The area of the triangle can be calculated using formula

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Given:

Base $=5\dfrac{1}{2}=\dfrac{11}{2}\ cm$

Height $=3\dfrac{1}{2}=\dfrac{7}{2}\ cm$

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2. What is the area of a parallelogram with a base of 14.5 m and a height of 21 m?

The area of the parallelogram can be calculated using formula

$A=\times \text{Base}\times \text{Height}$

Given:

Base $=14.5\ cm$

Height $=21\ cm$

Hence,

$A=14.5\cdot 21\\ \\=304.5 \ cm^2$

3. The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio in simplest terms of grilled chicken salads sold to the total number of lunches sold?

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$150:450$

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4. What is the ratio of odd to even digits in the following number: 7,208,631?

There are

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The ratio of odd to even digits is

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