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3 years ago

What is the answer for this using substitution?

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

9514 1404 393

Answer:

(x, y) = (2, -2)

Step-by-step explanation:

We would normally choose to use substitution when x or y could be easily solved-for without having fractions involved. That is not the case here. However, we observe that the term 3y appears in both equations, so we can substitute for "3y" instead of "y".

From the second equation, ...

3y = 5x -16

Substituting into the first equation, ...

2x +(5x -16) = -2

7x = 14 . . . . . . . . . add 16

x = 2 . . . . . . . . . . divide by 7

Using our equation for y, we get ...

3y = 5(2) -16 = -6

y = -2 . . . . . . . . . divide by 3

The solution is (x, y) = (2, -2).

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Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500 ft2.

hram777 [196]

Answer: 1527

Step-by-step explanation:

Total Area = 7500 ft^2

Area covered by one student = Area of one circle

= π*r^2

r = radius of circle = 2.5/2 = 1.25 ft

Area covered by one student = π*1.25^2 = 4.91 ft^2

Number of students who can fit into total area = Total Area/Area covered by one student

Number of students who can fit into total area = 7500/4.91 = 1527.49

Hence the answer is 1527 students

7 0

3 years ago

Can someone help me here pls thanks!

vesna_86 [32]

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

More can be learned about proportions at brainly.com/question/24372153

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4 0

2 years ago

Pick two that are NOT equivalent to 6(5x + 4) - 10

bonufazy [111]

Answer:

a and c

Step-by-step explanation:

it would be a and c because the first expreesion in the sentace equals 54

<u><em>A and C are the only options that do not equal ( They both equal 24 not 54!) </em></u>