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krok68 [10]
2 years ago
5

Twenty-nine lots of p=

Mathematics
1 answer:
sp2606 [1]2 years ago
6 0

Answer:

29p

Step-by-step explanation:

pretty simple

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When Rafael emptied his pockets, e found he had a total of $3.50 in quarters and nickels. If he had 8 more quarters that nickels
jasenka [17]
You can use systems of equations for this one.

We are going to use 'q' as the number of quarters Rafael had,
and 'n' as the number of nickels Rafael had.


You can write the first equation like this:
3.50=0.05n+0.25q
This says that however many 5 cent nickels he had, and however many
25 cent quarters he had, all added up to value $3.50.
Our second equation is this:
q=n+8
This says that Rafael had 8 more nickels that he had quarters.

We can now use substitution to solve our system.

We can rewrite our first equation from:
3.50=0.05n+0.25q
to:
3.50=0.05n+0.25(n+8)

From here, simply solve using PEMDAS.

3.50=0.05n+0.25(n+8)     --Distribute 0.25 to the n and the 8
3.50=0.05n+0.25n+2     --Subtract 2 from both sides
1.50=0.05n+0.25n     --Combine like terms
1.50=0.30n     --Divide both sides by 0.30
5=n     --This is how many NICKELS Rafael has.

We now know how many nickels he has, but the question is asking us
how many quarters he has.

Simply substitute our now-known value of n into either of our previous
equations (3.50=0.05n+0.25q or q=n+8) and solve.

We now know that Rafael had 13 quarters.

To check, just substitute our known values for our variables and solve.
If both sides of our equations are equal, then you know that you have
yourself a correct answer.

Happy math-ing :)
5 0
3 years ago
You have learned that different types of rocks are found in Earth’s layers. Their composition affects their densities.
gtnhenbr [62]

Answer:

c the number of the person who is this and what is the address of the house and the

Step-by-step explanation:

thanks for your help and support you in whatever way you can get a good

6 0
3 years ago
Read 2 more answers
A cube with a cylindrical hole cut out of the middle is shown. The edge length of the cube is 36 feet, and the circle on the fro
Vaselesa [24]

46204 ft³

<h3>                               <u>Explanation</u>:</h3>

Volume of <u>cube</u>: length³ ⇒ 36³ ⇒ 46656 ft³

Volume of <u>cylinder</u>: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³

Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³

4 0
2 years ago
Read 2 more answers
Hello, can you answer this for me
Elis [28]

Answer:

Steve is 18 and and his mother is 47.

Step-by-step explanation:

if you add those numbers you'll get 65

3 0
3 years ago
Write an equation in point-slope form for the line through the given point with the given slope.
DedPeter [7]

Answer is y - 3 = 6 (x - 8) .



5 0
3 years ago
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