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Maslowich
3 years ago
11

​A college student only saves quarters and dimes in her piggy bank. She empties out her piggy bank at the end of each month. Thi

s month there are 28 quarters and dimes. The total value of the coins is $4.05. How many quarters and dimes does the college student have?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
For this case, the first thing we must do is define variables:
 x = number of quarters
 y = number of dimes
 We now write the system of equations:
 x + y = 28
 0.25x + 0.10y = 4.05
 Solving the system of equations we have:
 x = 8.33
 y = 19.66
 Rounding:
 x = 8
 y = 20
 Answer:
 
the college student has:
 
8 quarters
 
20 dimes
You might be interested in
Solve:
Natalija [7]
Answer: It took 18 Months for Michelle to collect 59 dolls.


Explanation:
First, let’s right an equation for this. Michelle started with 5 dolls in a bar collection (I have no clue what that is but i’ll roll with it), and each month she bought 3 more, so 5 dolls plus the 3 dolls per month equals 59 at some point.

5 dolls + 3 dolls per month = 59 dolls
OR
5 + 3m = 59

The point of this question is to find how many months (m) it took in order to get to 59 dolls and there’s multiple ways you can do this:

1) just plug in random numbers into m to see how long it takes to get to 59 [this option might take a while]

2) Try to isolate m (get every number out of the equation) to find out the value of m. [I’m most familiar with this way]

First, subtract 5 from 5 in the equation in order to get rid of it, since we’re trying to get all whole numbers out of the equation and only have m left. You subtract 5 from 59 since the equal sign is kind of like a mirrror, whatever you do to one side you have to do to the other. So, 5-5 is 0, and 59- is 54.

Now you’re left with 3m=54. In order to isolate the m, divide 3 by 3 to get rid of the 3, then divide 54 by 3, which is 18.

In order to check your work, plug 18 into m just to see if it works or not:

5+3m=59 —-> 5+ 3(18)= 59

3 times 18 is 54, plus 5 is 59. So, Mi hells took 18 months to collect her 59 dolls. Hope this helped!
3 0
3 years ago
PLEASE HELP
shusha [124]
15 meals x $0.80 = $12.
$18 - $12 = $6.

If one movie ticket is $3 then she must have purchased 2 with $6.

Part A - 15x0.8=18-x=x

Part B-
15 x 0.8 = 12
18- 12=6

Part C- 2

6 0
4 years ago
Read 2 more answers
Which savings option is best for Vincent?
maria [59]
What’s the question? I don’t have enough info.
4 0
3 years ago
Read 2 more answers
What value of x makes the equation true?<br><br> 16 + (18 + 10) = (x + 18) + 10<br><br> x = ?
choli [55]

Answer:

  See below

Step-by-step explanation:

16 + (18 + 10) = (x + 18) + 10x

16 + 28 = (x + 18) + 10x        Add like terms in the parentheses

44 = (x + 10x) + 18               Use the community property to regroup like

                                            terms

44 = 11x + 18                         Simply

<u>-18 =        -18</u>                         Substract 18 from both side

26  = 11x                               Simply

<u>26</u>  =  <u>11x</u>                              Divide by 11

11        11

2\frac{4}{11} = x                               Reduce                

3 0
2 years ago
If m is the midpoint of CD, CM= 4x-5, and md=2x +5, what is x?
scoundrel [369]
We know that

if  M is the midpoint of CD
--------------------------------------
C                  M                   D

then
CM=MD
CM=4x-5
MD=2x+5
so
4x-5=2x+5-----------> 4x-2x=5+5----------> 2x=10---------> x=5

the answer is
x=5
5 0
3 years ago
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