6. One variable only so pretty straightforward.
length-x+4
width-x
x+x+4=80
2x=76
x=38
x+4=42
answer: length 42cm and width 38cm
7. Another money problem!
n-# of nickels
q-# of quarters
n=3+q
0.05n+0.25q=2.85
Substitution works like a charm!
0.05(3+q)+0.25q=2.85
0.15+0.05q+0.25q=2.85
0.3q=2.7
q=9
n=3+q
n=3+9
n=12
answer: 9 nickels and 12 quarters
8. One variable situation again.
Ann's money-2b+9
Betty's money-b
b+2b+9=60
3b=51
b=17
2b+9=43
answer: Ann has $43 and Betty has $17.
9. # of red m&m's-x+1
# of blue m&m's-x
x+1+x=13
x=6
x+1=7
answer: 6 blue and 7 red m&m's
10. a-number of adult tickets
s-number of student tickets
a+s=785 ----> a=785-s
5a+2s=3280
5(785-s)+2s=3280
-3s=-645
s=215
a+s=785
a+215=785
a=570
answer: 215 children tickets and 570 adult tickets
(D.) It should be a bit less than 6 quarts (5.75 / 5 & 3/4 to be exact)
Answer: the surface area is 7,800
Step-by-step explanation:
Answer:
Step-by-step explanation:
1)
Tri. prism:
B = base = 1/2 a c
base = 1/2 * 6 * 6 = 18
volume = Bh
v = 18*4
v = 72
Rec. prism
volume = 4*6*6
v = 144
total volume = 144+72
vt = 212
2)
top rec. = 2*3*5=30
bot rec. = 4*5*6=120
vt = 30 + 120
vt = 150
783-366=417
Difference = Subtraction
