Ask question

Ask question

All categories

soldi70 [24.7K]

3 years ago

9

What is the solution set of the following system of equations?

1 answer:

9966 [12]3 years ago

6 0

5x - 3y = 10
x + y = 7......multiply by -5
------------------
5x - 3y = 10
-5x - 5y = -35 (result of multiplying by -5)
------------------add
-8y = -25
y = 25/8

x + y = 7
x + 25/8 = 7
x = 7 - 25/8
x = 56/8 - 25/8
x = 31/8

solution is (31/8 , 25/8)

You might be interested in

How much will the taxi driver earn if he takes one passenger 4.8 miles in another passenger 7.3 miles explain your process

Tcecarenko [31]

Answer:

12.1x+t

Step-by-step explanation:

since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving

6 0

2 years ago

5. Max and Evie are comparing the number of ride tickets they have for an amusement park. They notice that Evie has 4 less than

Anestetic [448]

Answer:

4n - 4

Step-by-step explanation:

3n-4 = the amount of tickets Evie has

n = the amount of tickets Mark has

3n - 4 + n = 4n - 4

5 0

3 years ago

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

<u>Find the area of the figure ABC</u>

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

so

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

<u>Find the area of the semicircle</u>

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

5 0

3 years ago

150 divided by what gives you 16?

sukhopar [10]

Answer:

9.375

Step-by-step explanation:

150 divided by 9.375 gives you 16

4 0

3 years ago

Read 2 more answers

If q = 3, what is the value of the expression 7(2q − 5)? -28 7 21 37

alisha [4.7K]

7(2q-5) {{q=3}}
= 7(2x3-5)
= 7(6-5)
= 7(1)
= 7

The answer is 7.

7 0

3 years ago