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Gnesinka [82]
3 years ago
11

What is the greatsest common factor of

24 {a}^{3} c" alt="24 {a}^{3} c" align="absmiddle" class="latex-formula">
and 3a
Mathematics
1 answer:
coldgirl [10]3 years ago
4 0
Think it is just 3a

3a x 6 =24a
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Sarah has a collection of nickels, dimes, and quarters worth $28.75. She has 10 more dimes than nickels and twice as many quarte
Ymorist [56]

Answer:

Step-by-step explanation:

Write an equation for each statement:

:

"Sarah has a collection of nickels, dimes, and quarters worth $15.75."

.05n + .1d + .25q = 15.75

:

"She has 10 more dimes than nickels"

d = n + 10

:

"twice as many quarters as dimes."

q = 2d

:

How many coins of each kind does she have?

:

Take the 2nd equation and arrange it so n is in terms of d also

n + 10 = d

n = (d - 10)

:

In the 1st equation substitute (d-10) for n and 2d for q:

.05n + .1d + .25q = 15.75

:

.05(d-10) + .1d + .25(2d) = 15.75

:

.05d - .5 + .1d + .5d = 15.75

:

.65d - .5 = 15.75

:

.65d = 15.75 + .5

:

.65d = 16.25

:

d = 16.25/.65

:

d = 25 dimes

:

Remember the statement "twice as many quarters as dimes."

q = 2(25)

q = 50 quarters

:

The statement "She has 10 more dimes than nickels"

n = 25 - 10

n - 15 nickels

:

Check our solutions

.05(15) + .1(25) + .25(50) =

.75 + 2.50 + 12.50 = 15.75 proves our solutions

8 0
2 years ago
Due at 11:59 PLS HELP
Lelechka [254]
The answer is the last one
8 0
3 years ago
duke and donna each have 10 coins. all coins are either dimes or quarters. duke has 5 quarters. donna has 60 c more than duke.ho
zepelin [54]
If duke has 5 quarters that means he has 5 dimes making a total of $1.75 
if donna has 60 cents more than him she has a total of $2.35 
to figure out the number of quarters she has just dived $2.35 by .25 cents 
she has 9 quarters and 1 dime.
5 0
3 years ago
Does the information on the sign represent a proportional relationship
swat32
No it is the right question 

8 0
3 years ago
The length of a rectangular wire frame with dimensions of 12 cm × 8 cm increases at the rate of 0.5 cm per second, while its wid
arsen [322]

Answer:

2/3

Step-by-step explanation:

Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.

7 0
3 years ago
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