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soldi70 [24.7K]
3 years ago
9

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

Mathematics
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)

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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
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