Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get

Answers

Answer 1

Answer:

Jerome got 5 quarters, 1 dime and, and 3 nickels.

Step-by-step explanation:

Let's define the variables:

N = number of nickels he got

D = number of dimes he got

Q = number of quarters he got

We know that the nickels were worth $0.15

And each nickel is whort $0.05

Then:

N*$0.05 = $0.15

N = $0.15/$0.05 = 3

N = 3

Now we also know that there is a total of 9 coins, then:

N + D + Q = 9

3 + D + Q = 9

D + Q = 9 - 3 = 6

D + Q = 6

And we also know that the total change received is $1.50, then:

D*$0.10 + Q*$0.25 + N*$0.05 = $1.50

We know that N = 3, then we can replace that and get:

D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50

D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35

D*$0.10 + Q*$0.25 = $1.35

Then we have two equations:

D + Q = 6

D*$0.10 + Q*$0.25 = $1.35

To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:

D = 6 - Q

Now we can replace this in the other equation:

(6 - Q)*$0.10 + Q*$0.25 = $1.35

Now we need to solve this for Q.

$0.60 - Q*$0.10 + Q*$0.25 = $1.35

Q*$0.15 = $1.35 - $0.60 = $0.75

Q = ($0.75)/($0.15) = 5

Q = 5

Then Jerome has 5 quarters.

Now we can return to the equation:

N + Q + D = 9

We already know that:

N = 3

Q = 5

Then if we replace those in the equation, we get:

3 + 5 + D = 9

8 + D = 9

D = 9 - 8 = 1

D = 1


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Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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If you root both sides,

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

Cycles R Us sold 100 bikes more than Peer's Bike store in week zero.

   Peer's Bike store sold 50 bikes more than Cycles R Us bikes store.

Exponential function:An exponential function is defined by the expression,

        [tex]y(t)=y_0(1+r)^t[/tex]

        Where, [tex]y(t)=[/tex] Final value

        [tex]y_0=[/tex] Initial value

        [tex]r=[/tex] rate of increase

        [tex]t=[/tex] Time or duration

Given in the question,

Exponential function representing the bikes sold at Peer's Bike store,

        [tex]y(t)=150(1.3)^t[/tex]

        At t = 0,

        [tex]y(0)=150(1.3)^0[/tex]

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Graph representing the function for the bikes sold at Cycles R Us bikes store,

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Difference in the bikes sold at Peer's Bike store and Cycles R Us bikes store = [tex]150-100[/tex]

         = [tex]50[/tex]

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Answers

Answer:

80 square feet

Step-by-step explanation:

I hope this helps a little bit.

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Answers

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Answers

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

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t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

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Answers

sorry for bad handwriting

Answer:

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Step-by-step explanation:

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
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B.The height of the water decreases 2 inches per minute.
C. The height of the water was 2 inches before any water was added.
D. The height of the water will be 2 inches when the pool is filled.

Answers

Answer:

A. The height of the water increases 2 inches per minute.

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