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tester [92]
3 years ago
8

Which statement is true

Mathematics
1 answer:
dybincka [34]3 years ago
3 0
Jill will make less money if they work for 4 hours
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1. What is the value of the y variable in the solution to the following system of equations?
ollegr [7]

Part 1)

we have

3x-6y=3 ------> equation A

7x-5y=-11 ------> equation B

Multiply by -7 the equation A

-7(3x-6y)=-7*3

-21x+42y=-21 ------> equation C

Multiply by 3 the equation B

3*(7x-5y)=-11*3

21x-15y=-33 -------> equation D

Adds equation C and equation D

-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2

therefore

<u>the answer Part 1) is the option A </u>

y=-2

Part 2)

we have

3x+y=6

y=-3x+6 ------> equation A

6x+2y=8

Simplify Divide by 2 both sides

3x+y=4

y=-3x+4 ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

4x+2y=6 ------> equation A

x-y=3

y=x-3  ------> equation B

substitute equation B in equation A

4x+2[x-3]=6

6x-6=6

6x=12

x=2

therefore

<u>the answer part 3) is the option D</u>

x=2

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

x+y=1,120

x=1,120-y -------> equation A

3x-2y=1,300 ------> equation B

substitute equation A in equation B

3[1,120-y]-2y=1,300

3,360-5y=1,300

5y=3,360-1,300

5y=2,060

y=412

therefore

<u>the answer part 4) is  the option D</u>

y=412

8 0
3 years ago
Read 2 more answers
Which conversions from scientific notation to standard notation are true? Select the four correct answers.
Mashutka [201]

Answer:

b,e,g,h

Step-by-step explanation:

trust me

3 0
3 years ago
Which two ratios form a proportion?
s2008m [1.1K]

Answer:

02:3 and 12:18

Step-by-step explanation:

A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:

#1

02:3 and 4:12

Reducing the larger ratio: 4:12=1:3

Hence, not a proportion.

#2

02:3 and 6:12

Reducing the larger ratio: 6:12=1:2

Hence, not a proportion.

#3

02:3 and 12:18

Reducing the larger ratio: 12:18=2:3

Hence, they form a proportion.

#4

02:3 and 12:18

Reducing the larger ratio: 12:36=1:3

Hence, not a proportion.

4 0
3 years ago
What is the simplified form of the quantity 12 z–squared minus 7z minus 12 over the quantity 3 z–squared plus 2z minus 8
ELEN [110]
12z^2 - 7z -12/ 3z^2 + 2z - 8

= (4z+3) (3z -4)/ (z+2)(3z -4)

= (4z + 3)  / (x+2)

Hope this helps

3 0
3 years ago
Read 2 more answers
Answer correctly please, i will mark brainliest. Thanks
Scorpion4ik [409]
I believe answer is 9
8 0
4 years ago
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