I: 635=dimes*10+quarters*25
or shorter
635=d*10+q*25
II: d=q*3+3
Substitute II (d=3q+3) into I to replace d:
635=d*10+q*25
635=(3q+3)*10+q*25
635=30+30q+25q
605=55q
11=q
-> 11 quarters
"What expression represents the number of dimes if q represent quarters"
insert q=11 into II:
II: d=q*3+3
d=11*3+3
d=33+3
d=36
Answer:
yes
Step-by-step explanation:
6+2n>12
n>3 is true because 6 minus 12 equal 6 divide by 2 is 3
Answer:
Step-by-step explanation:
<u>Find the prime factors of each number:</u>
- 24 = 2*2*2*3
- 88 = 2*2*2*11
<u>GCF of the numbers is:</u>
<u>Factor the expression:</u>
- 24 + 88 = 8*3 + 8*11 = 8*(3 + 11)
Answer: n= 80 ×48+ 34×20
Step-by-step explanation:
Given: Number of large boxes = 80
Number of small boxes = 34
Number of markers in each large box = 48
Number of markers in each small box = 20
Total markers = (Number of large boxes)x (Number of markers in each large box) + (Number of small boxes) x (Number of markers in each small box)
Total number of markers = n (given)
Then, n= 80 ×48+ 34×20
Therefore , the equation could be used to find n, the total number of markers in stock: n= 80 ×48+ 34×20
