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xeze [42]
3 years ago
9

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

The question is incomplete:

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?

a. $10.00

b. $6.20

c.$15.50

d.$25.00

Answer:

d.$25.00

Step-by-step explanation:

With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:

x+y=162 (1)

0.10x+0.25y=31.20 (2), where:

x is the number of dimes

y is the number of quarters

First, you can solve for x in (1):

x=162-y (3)

Then, you have to replace (3) in (2) and solve for y:

0.10(162-y)+0.25y=31.20

16.2-0.10y+0.25y=31.20

0.15y=31.20-16.2

0.15y=15

y=15/0.15

y=100

Finally, you have to replace the value of y in (3) to find x:

x=162-100

x=62

Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:

100*0.25=25

According to this, the answer is that James has $25 in quarters.

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Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
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Answer:

\displaystyle y = \frac{t^2}{16} + 18

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  • Left to Right  

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<u>Algebra I</u>

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Integration Constant C

Integration Rule [Reverse Power Rule]:                                                                   \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Property [Multiplied Constant]:                                                             \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (0, 18)

\displaystyle \frac{dy}{dt} = \frac{1}{8} t

<u>Step 2: Find General Solution</u>

<em>Use integration</em>

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  2. [Equality Property] Integrate both sides:                                                        \displaystyle \int dy = \int {\frac{1}{8} t} \, dt
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Unit: Integration

Book: College Calculus 10e

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Answer:

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