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:
the graph would start at (0,2) [2 points up from the origin] and then go over 3 up 2, and repeat that over 3 up 2 until you've completed your line to the extent needed
2x+2= 3x-52
Solve for x
You get x to be 54
Answer:
(x + 6)(x + 8)
Step-by-step explanation:
Consider the factors of the constant term (48 ) which sum to give the coefficient of the x- term (14 )
The factors are + 6 and + 8
since 6 × 8 = 48 and 6 + 8 = 14
x² + 14x + 48 = (x + 6)(x + 8) ← in factored form
<span>Round $783.85 to the nearest $1,000.00,
</span>$1000.00 is your answer