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Tresset [83]
3 years ago
12

Casey has a total of $2.55 cents in dimes and quarter. If she has eight fewer quarters than dimes, how many of each coin does sh

e have ?
Mathematics
1 answer:
lisov135 [29]3 years ago
8 0
5 quarters and 13 dimes
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SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS
antiseptic1488 [7]

Answer:

\sf -11+7\sqrt{2}

Step-by-step explanation:

Given expression:

\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }

Rewrite 32 as 16 · 2:

\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }

Apply radical rule \sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}

\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }

As \sf \sqrt{16}=4:

\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }

Multiply by the conjugate:

\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }

\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}

\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}

As \sf \sqrt{2}\sqrt{2}=\sqrt{4}=2:

\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}

\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}

\sf \implies \dfrac{11-7\sqrt{2}}{-1}

\sf \implies -11+7\sqrt{2}

7 0
2 years ago
Cali soccer practice was one hour and 15 minutes long it ended at 7:15 PM what time did practice start
madreJ [45]

Answer:

Soccer practice started at 6:00, because 7:15 - 1:15 = 6:00

5 0
3 years ago
What is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6
Alisiya [41]

Answer:

x=3

Step-by-step explanation:

6 0
3 years ago
What are the Rates of Change and the initial values to these? If you don't have the answer I'll take an explanation on how to do
gogolik [260]

Step-by-step explanation:

So, a coordinate plane is made out of two axis, the x and the y. Through these, we have grid squares on the plane showing points. So, each square would be one point. To find the <u>rate of change, or slope,</u> you would have to use the formula:

y(#2) - y(#1)

------------------ = Divided by

x(#2) - y(#1)

This formula will calculate the rate of change. I will do the first one for you as follows.

The first point I would find would be (1,3). 1 space on the X-axis, 3 on the Y-axis.

To write a ordered pair to represent the point on the plane, use the (X,Y).

Then, I'd find the second point.

Following the second point, I would do the equation like so.

y(2) - 3

-----------------  

x(2) - 1

See, I used the first points given as the last X and Y variables in the formula.

Hope this helps you out!

4 0
3 years ago
Janelle has a 12-ounce can of soft drink. She drinks 3/5 of the soft drink.
guapka [62]

Answer:

Answer:  4.8 ounces

Step-by-step explanation:

In total there are 12 ounces. If she drinks 3/5 of 12 you multiply 3/5 by 12.

3/5 * 12 would be equal to 3/5 * 12/1 which is 36/5. You have found how much she has drank. 36/5 is also equal to 7.2 ounces. Subtract 7.2 form 12 and you get 4.8 ounces.

Hope this helped!

7 0
3 years ago
Read 2 more answers
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