Q + n = 91
q +n -n =91-n
q= 91-n
.25q +.05n = $14.55
.25(91-n)+.05n = $14.55
22.75-.25n+ .05n= $14.55
22.75 -.20n =14.55
22.75-22.75-.20n=14.55-22.75
-.20n=-8.2
-.20n/-.20n= -8.2/-.20n
n= 41
q + 41 = 91
q +41 -41 = 91-41
q = 50
CHECK
.25(50) + 0.05(41) = $14.55
12.50 + 2.05 = $14.55
$14.55 = $14.55
Answer:
There are 6 nickels, 10 dimes and 13 quarters.
Step-by-step explanation:
number of nickels = n
number of dimes = n+4
number of quarters = (n+4)+3 = n+7
express total amount in cents $4.55 = 455 cents
express total in cents by multiplying quantities of coins by value and adding them up.
455 = 5*n + 10*(n+4) + 25*(n+7) 455 = 5n + 10n + 40 + 25n + 175 240 = 40n n = 6
so number of nickels = 6.
number of dimes = number of nickels + 4 = 6+4 =10
number of quarters = number of dimes + 3 = 10+3 = 13
There are 6 nickels, 10 dimes and 13 quarters.
Answer:
X=1
Step-by-step explanation:
3x+1=4
3x=4-1
3x=3
x=1
Answer:
according to what I was taught
Step-by-step explanation:
the first step to solving rational inequalities is to find the zeros. Because a rational expression consists of the ratio of two polynomials, the zeroes for both polynomials will be needed.
Answer:
x = 9/2
Step-by-step explanation:
The outside triangle is also a right triangle, with hypotenuse 8 and side 6.
The missing side can be calculated with pythagoras as:
Now for the vertical line, lets call it y, which is a side for two "back to back" triangles, you can do pythagoras twice:
left triangle:
right triangle:
Eliminating y², you can solve: