Answer: G
Step-by-step explanation: the rate of change is constant, making it a proportional relationship
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
Answer:
C
Step-by-step explanation:
Answer:
27 L
Step-by-step explanation:
To find 12.5% of 24, move the decimal all the way to the left and multiply 24 by 0.125. You get 3, which is how much was added to the original volume.
24 + 3 = 27, which is the new volume.
Answer:
<h2>18/√3ft</h2>
Step-by-step explanation:
This is a ratio problem
Step one:
Given the ratio of length:width is <em> "3 space colon space square root of 3"</em>
mathematically it is expressed as
length:width 3:√3 or 3/√3
Step two:
3:√3 or 3/√3
if the built TV has a width of 6ft let the length be x
3/√3=x/6
cross multiply we have
x√3=3*6
x√3=18
x=18/√3ft
therefore the length will be 18/√3ft