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Murrr4er [49]
3 years ago
9

A rental company charges $15 plus $4 per hour to rent a bicycle. If Margie does not want to spend more than $27 for her rental,

write and solve an inequality to find how many hours she can rent the bicycle and not spend more than $27. Interpret the solution.
Mathematics
1 answer:
serious [3.7K]3 years ago
8 0
15 + 4(h) = 27 
27 - 15 = 12
12/4 = 12 
Margie can rent the bicycle for 4 hours. 
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Jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simpl
Studentka2010 [4]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve for X. Each figure is a parallelogram.
vichka [17]

Answer:

1. x = 8

2. x = 3

3. x = 25

4. x = 6

5. x = 11

6. x = 3

7. x = 6

8. x = 10

Step-by-step explanation:

Since the opposite sides of a parallelogram are congruent, the length of segment QR is equal to the length of segment PS.

10 = -6 + 2x

Add 6 to each side

10 + 6 = -6 + 6 + 2x

Simplify each side

16 = 2x

Divide both sides by 2

16/2 = 2x/2

Simplify

x = 8

to check if x is correct:

you already know that  segment QR is 10, so your answer needs to be equal to 10

so sement PS is -6x + 2x

-6 + 2x

= -6 + 2(8)

= -6 + 16

= 10

so PS = 10

2. 34x + 5 = 35x + 2

Step 1: Subtract 35x from both sides.

34x + 5 − 35x = 35x + 2 − 35x

−x + 5 = 2

Step 2: Subtract 5 from both sides.

−x + 5 − 5 = 2 − 5

−x = −3

Step 3: Divide both sides by -1.

-x/-1 = -3/-1

Step 4: Simplify

x = 3

3.

115 = 2x + 65

Step 1: Flip the equation.

2x + 65 = 115

Step 2: Subtract 65 from both sides.

2x + 65 − 65 = 115 − 65

2x = 50

Step 3: Divide both sides by 2.

2x/2 = 50/2

x = 25

4.

84 + 16x = 180

84 - 84 + 16x = 180 - 84

16x = 96

16x/16 = 96/16

x = 6

5.

2(3x − 10) = 46

Step 1: Simplify both sides of the equation.

2(3x − 10) = 46

(2)(3x) + (2)(−10 )= 46(Distribute)

6x + −20 = 46

6x − 20 = 46

Step 2: Add 20 to both sides.

6x − 20 + 20 = 46 + 20

6x = 66

Step 3: Divide both sides by 6.

6x/6 = 66/6

x = 11

6. RH = 1/2 FH or RH = 2 × FH

Step 1: Simplify both sides of the equation.

(2)(12)=13x−2

24=13x+−2

24=13x−2

Step 2: Flip the equation.

13x−2=24

Step 3: Add 2 to both sides.

13x−2+2=24+2

13x=26

Step 4: Divide both sides by 13.

13x/13 = 26/13

x = 3

7.

2x+2=3x−4

Step 1: Subtract 3x from both sides.

2x+2−3x=3x−4−3x

−x+2=−4

Step 2: Subtract 2 from both sides.

−x+2−2=−4−2

−x=−6

Step 3: Divide both sides by -1.

-x/-1 = -6/-1

x = 6

8.

2(2x−6)=28

Step 1: Simplify both sides of the equation.

2(2x−6)=28

(2)(2x)+(2)(−6)=28(Distribute)

4x+−12=28

4x−12=28

Step 2: Add 12 to both sides.

4x−12+12=28+12

4x=40

Step 3: Divide both sides by 4.

4x/4 = 40/4

x = 10

7 0
2 years ago
Can anyone help me with the odd numbers on my algebra 1 homework?
WINSTONCH [101]

y =x+10

y =6x+30

substitute x+10 into the 2nd equation anywhere you see y

x+10 = 6x+30

subtract x from each side

x-x+10 = 6x-x+30

10 = 5x+30

subtract 30 from each side

10-30=5x+30-30

-20 = 5x

divide by 5 on each side

-20/5 =5x/5

-4=x

now solve for y

y=x+10

y = -4 +10

y=6

Answer: x=-4

y=6

or (-4,6)


3.  y = -3x-6

6x+5y=-30

6x+5(-3x-6) =-30

5x-15x-30=-30

-20x-30=-30

-20x=0

x=0

y = -3x-6

y=-6



6 0
3 years ago
Simplify: 5(8r) + 3(4r)<br><br>​
Lady_Fox [76]
5 * 8r = 40r
3 * 4r = 12r
40r + 12r = 52r
Solution: 52r
4 0
3 years ago
Which of the following equations shows how substitution can be used to solve the following system of equations?
igor_vitrenko [27]

Answer:

(3, 5)

Step-by-step explanation:

y = 2x - 1

3x + 2y = 19

In the second equation, substitute 2x - 1 in for y, since y equals 2x - 1 in the first equation. Solve for x.

3x + 2(2x - 1) = 19

3x + 4x - 2 = 19

7x - 2 = 19

7x - 2 + 2 = 19 + 2

7x = 21

7x/7 = 21/7

x = 3

Pick the first equation to solve for y since it says y =. Substitute 3 in for x.

y = 2x - 1

y = 2(3) - 1

y = 6 - 1

y = 5

4 0
3 years ago
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