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lesantik [10]
3 years ago
15

,,,Help Please.. Question in the file.

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0
So hmmm there are 5pennies in a nickel, and 10pennies in a dime and 25pennies in a quarter

now, in $6.10, there are 610 pennies

n = amount of nickels coins
d = amount of dime coins
q = amount of quarter coins

so... we know, there are 5*n or 5n pennies in the nickels, and 10*d or 10d pennies in the dimes and 25*q or 25q in the quarter coins, and we know their sum is 610 pennies total, thus

5n + 10d + 25q = 610

now, there are 4 more "n" then "d", so whatever "d" is, "n" is 4  more than that
n = d + 4

and twice as many "q" than "n", so, whatever "n" is, then
q = 2n

\bf 5n+10d+25q=610\implies n+2d+5q=122\qquad 
\begin{cases}
n=d+4\\
q=2n\\
------\\
q=2(d+4)\\
\qquad 2d+8
\end{cases}
\\\\\\
\boxed{d+4}+2d+5\left( \boxed{2d+8} \right)=122

solve for "d", to see how many dimes are there

what about the nickels? well, n = d + 4
what about the quarters?  well, q = 2d + 8
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Answer:

b=6

Step-by-step explanation:

<u><em>The correct question is</em></u>

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

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we have

y=6x-b ----->equation A

-3x+\frac{1}{2}y=-3 -----> equation B

we know that

If the system has infinite number of solutions then, the equation A must be equal to the equation B

so

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-3x+\frac{1}{2}y=-3

Multiply by 2 both sides

-6x+y=-6

y=6x-6 -------> new equation B

To find out the value of b, equate equation A and equation B

6x-b=6x-6

b=6

4 0
3 years ago
This month Salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740. Who made more commission this month? How much di
laiz [17]

Answer:

Salesman A made $569.1 more commission than salesman B

Step-by-step explanation:

(11/100)*67530= (amount made by salesperson A)

=7428.3

(8/100)*85740= (amount made by salesperson B)

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A-B= 569.1

Hope this helps :D

6 0
3 years ago
What is the value of x?
Talja [164]
Use the Pythagorean theorem. The Pythagorean Theorem uses the following formula:

a^{2} + b^{2} = c^{2}

Plug in the known values into the equation:

a = 6, c = 10

6^{2} + b^{2} = 10^{2}

36 + b^{2} = 100

Subtract both sides by 36.

b^{2} = 64

Square root both sides to get b by itself.

\sqrt{64} = 8

b = 8

The value of x is 8.
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