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In-s [12.5K]
3 years ago
9

A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p,

the number of pennies, and q, the number of quarters?
Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer:

let x = the number of nickels

 

the number of pennies can be represented by (56 - x)

 

.05x + .01(56 - x) = 1.52

 

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

 

4x + 56 = 152

 

4x = 96

 

x = 24

 

There are 24 nickels and 56 - 24 = 32 pennies

 

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

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Someone help please thank you
mojhsa [17]

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

f(x)=8x-5\text{ and } g(x)=9-2x

And we want to find:

(f\circ g)(x)\text{ and } (g\circ f)(x)

1)

Recall that:

(f\circ g)(x)

is the same as:

=f(g(x))

Thus, we can substitute g(x):

=f(9-2x)

And substitute that into f(x):

f(x)=8x-5\\f(9-2x)=8(9-2x)-5

Distribute:

=72-16x-5

Subtract and simplify:

=67-16x\\=-16x+67

Thus:

(f\circ g)(x)=-16x+67

2)

Similarly:

(g\circ f)(x)=g(f(x))

Substitute f(x):

g(f(x))=g(8x-5)

Substitute:

g(8x-5)=9-2(8x-5)

Distribute:

=9-16x+10

Simplify:

=-16x+19

Therefore:

(g\circ f)(x)=-16x+19

4 0
4 years ago
the first Indianapolis 500 auto race took place in 1911. the winning car covered the 500 miles in 6.7 hours. what was the winnin
Vesna [10]

Average speed = (distance covered) / (time to cover the distance)

                         =        (500 miles)      /    (6.7 hours)

                         =            (500 / 6.7)  (mile/hour)

                         =                    74.63 miles per hour.

I imagine there were quite a number of pit stops included in that.

This is faster than I expected when I first read your question.
That's really gettin' with it for cars in 1911 !

4 0
3 years ago
Find the 22nd term of the sequence described by the<br> explicit formula:<br> f(n) = 8 + 3(n - 1)
kari74 [83]
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}

<h3><u>Step-by-step explanation:</u></h3>

Given that the nth term of the Arthemetic Sequence is given by :-

\implies f(n) = 8 + 3(n-1)

And we need to find the 22nd term .

So in place of n substitute 22 .

\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }

<h3><u>Hence </u><u>the</u><u> </u><u>2</u><u>2</u><u>n</u><u>d</u><u> </u><u>term</u><u> </u><u>is</u><u> </u><u>7</u><u>1</u><u> </u><u>.</u></h3>
5 0
3 years ago
The shape on the left is transformed to the shape on the right​
katrin2010 [14]
The answer is the first one
7 0
3 years ago
Barney's part time job pays $8.75 an hour. He is needs to have at least $577.50 saved for books this fall. Write an inequality t
umka21 [38]

Answer: 577.50/8.75=X      

X= 66

Barney needs to work 66 hours to have enough money to pay for his books.

Hope I helped :)

Step-by-step explanation: I divided 577.50 by 8.75 to get my answer.

8 0
3 years ago
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