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Evgen [1.6K]
3 years ago
6

Clara has 8 coins worth 17¢. if the coins are all dimes and pennies, how many dimes and pennies does she have?

Mathematics
2 answers:
Sliva [168]3 years ago
4 0
Let x = the number of dimes
Let y =  the number of pennies.

There are 8 coins, therefore
x + y = 8        (1)

The coins are worth 17 cents, therefore
10x + y = 17     (2)

Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1

From (1), obtain
y = 8 -x = 8 - 1 = 7

Answer: 1 dime, 7 pennies.

Marina CMI [18]3 years ago
3 0
One dime, seven pennies
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Step-by-step explanation:

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<u><em>Step(ii):-</em></u>

<em>      </em>Z = \frac{x-mean}{S.D}<em></em>

<em>     </em>Z = \frac{42-33}{12} = 0.75<em></em>

<u><em>Step(iii):-</em></u>

<em>Given that mean of the Population = 89</em>

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

<em>   </em>Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }<em></em>

<em>     </em>Z = \frac{82-89}{\frac{1}{\sqrt{22} } } =  -32.833<em></em>

<em>Z-score = -32.833</em>

<em></em>

7 0
3 years ago
Which expression is equivalent to a^3 • b^3 • a^-3 • b?
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Hope this helps! Any questions please feel free to ask!!

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Step-by-step explanation:

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3 years ago
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allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

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Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

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[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
Read 2 more answers
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