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Leto [7]
3 years ago
15

Pls help I will mark brainliest

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer: Q= -31

Step-by-step explanation:

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gabby's piggy bank contains dimes and nickels worth $6.40. If she has 84 coins in all, how many of each does she have?
Sergeu [11.5K]
If we let Q be the number of quarters and N be number of nickels, this is the formula we would use:
[1] 25Q + 5N = 635 (using cents instead of dollars)


We also know something about Q and N.

[2] Q + N = 51


So multiply both sides of the second equation by 5. The reason we do this is because we're going to need to cancel out one of the variables (either Q or N) to solve for the other one. If we multiply times 5, we'll have 5N in both equations.
5Q + 5N = 255

Now we have two equations, and the second one can be subtracted from the first.

25Q + 5N = 635
-(5Q + 5N) = -255
---------------------
20Q = 380
so
Q = 19

There are 19 quarters.

And since there are 51 coins in all, 51-19 = 32 nickels.
5 0
3 years ago
Solve -1/3w -3/5 = 1/5w
Dmitrij [34]

Answer:

w= -9/8

Step-by-step explanation:

-1/3w -3/5 = 1/5w

+1/3w            +1/3 w

-3/5=1/5w+1/3w

Make common denominators to combine like terms of the right

-3/5=1/5w+1/3w

         *3       *5

-3/5=3/15w+5/15w

-3/5=8/15w

multiply both sides by the reciprocal of 8/15 which is 15/8

-3/5*15/8=8/15w*15/8

\frac{-3}{5}*\frac{15}{8} ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3

\frac{-3}{1}*\frac{3}{8} -----> now multiply across

w= -9/8

7 0
3 years ago
Read 2 more answers
Factor the trinomial. Factor out the GCF first.<br> 5x^2y - 30xy^2 - 35y^3
anzhelika [568]

Answer: 5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: 5x^2y - 30xy^2 - 35y^3

It can be written as

5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)

Taking out common factor  5y , we get

5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\  \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)

Hence, 5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)

3 0
3 years ago
In the first set the volleyball team made only 8 shots worth one point each write a algebraic expression
icang [17]
1 times 8  is your answer
3 0
3 years ago
Read 2 more answers
Slope -3/8y+-3/4x=12
grandymaker [24]

Answer:

=

10 − 2 7 - 3

Step-by-step explanation:

6 0
3 years ago
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