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3 years ago

What is 8(y-5) = 6y-18

Mathematics

1 answer:

marysya [2.9K]3 years ago

5 0

Answer:

y = 11

Explanation:

8(y − 5) = 6y − 18

Simplify both sides of the equation

8(y − 5) = 6y − 18

(8)(y) + (8)(−5) = 6y + −18( Distribute)

8y + −40 = 6y + −18

8y − 40 = 6y − 18

Subtract 6y from both sides

8y − 40 − 6y = 6y − 18 − 6y

2y − 40 = −18

Add 40 to both sides

2y − 40 + 40 = −18 + 40

2y = 22

Step 4: Divide both sides by 2

2y / 2 = 22 / 2

y = 11

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If Levi purchased a total of 50 ride tickets and game tickets at the amusement park and spent $29. If right tickets cost $.75 ea

erica [24]

Answer: he purchased 16 ride tickets.

Step-by-step explanation:

Let x represent the number of ride tickets that he purchased.

Let y represent the number of game tickets that he purchased.

Levi purchased a total of 50 ride tickets and game tickets at the amusement park. It means that

x + y = 50

If ride tickets cost $.75 each and game tickets cost $.50 each and the total amount spent on the tickets is $29, it means that

0.75x + 0.5y = 29- - - - - - - - - - - -1

Substituting x = 50 - y into equation 1, it becomes

0.75(50 - y) + 0.5y = 29

37.5 - 0.75y + 0.5y = 29

- 0.75y + 0.5y = 29 - 37.5

- 0.25y = - 8.5

y = - 8.5/-0.25

y = 34

x = 50 - y = 50 - 34

x = 16

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3 years ago

Which point is a solution to the inequality shown in this graph?

Rina8888 [55]

Answer:

Step-by-step explanation:

It is on the line so it is a solution, hope this helps

6 0

2 years ago

Read 2 more answers

8xy= 2(2x + y) solve for y

STatiana [176]

Answer: $\displaystyle y= \frac{2\text{x}}{4\text{x} - 1}$

============================================

Work Shown:

$8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\$

---------------

Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

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2 years ago

The regular price of a sweater is $42.99. It is on sale for 20% off. Find the amount of discount and the sale price

elena-14-01-66 [18.8K]

Answer:

34.392, 20%= 8.598

Step-by-step explanation:

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3 years ago

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Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?

Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60 Eqn 1

x=2y+9 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51$

Dividing both sides by 3,

$\frac{3y}{3}=\frac{51}{3}\\y=17\\$

Putting y=17 in Eqn 2

$x=2(17)+9\\x=34+9\\x=43$

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago