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4 years ago

14

A discounted concert ticket is $14.50 less than the original price p. You pay $53 for a discounted ticket. Write and solve an eq

uation to find the original price.

1 answer:

drek231 [11]4 years ago

4 0

Equation: Original price = cost of discounted ticket + discount

Original price = 53.00 + 14.50
Original price = 67.50
$67.50

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What is the value of the 1 in 178

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3 years ago

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Step-by-step explanation:

<u>To solve for 'x', isolate it</u>. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

<u>When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations</u>. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, <u>what you do to one side you have to do to the other</u>.

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$\frac{3}{8}x-17+17=10+17$ Add 17 to both sides. "-17" cancels out on the left.

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3 years ago

A father is 38 years old. his sons are 13 and 5 years old, and his daughter is 8 years old. In how many years will the father be

nalin [4]

Answer:

6 years

Step-by-step explanation:

So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.

So the father can be represented as: y=x+38

The sons can be represented as: y = x+13 and y=x+5

The daughter can be represented as: y=x+8

So adding up all his children you get:

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This gives you the equation:

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Now set this equal to the father's age to solve for x (in this context it's years)

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Subtract from both sides

2x+26=38

Subtract 26 from both sides

2x=12

Divide both sides by 2

x=6

So in 6 years the father will be the same age as his children put together

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2 years ago