Answer:
9 3/4 pages = x
Step-by-step explanation:
change 3 1/4 to a decimal
working with the fraction
3 1/4 /8 = x/ 24
3 1/4 (24) = 8x
13/4 (24) = 8x
316/4 = 8x
78 = 8x
78/8 = x
9 3/4 = x
Answer:
7.5 L of 10% solution and 22.5 L of 30% solution
Step-by-step explanation:
Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.
x + y = 30
Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.
0.10 x + 0.30 y = 30 × 0.25
0.10 x + 0.30 y = 7.5
Solve the system of equations, using either substitution or elimination. I'll use substitution:
x = 30 − y
0.10 (30 − y) + 0.30 y = 7.5
3 − 0.10 y + 0.30 y = 7.5
0.20 y = 4.5
y = 22.5
x = 30 − y
x = 7.5
Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.
There are 8 pigs to every 3 sheep
8 pigs +3 sheep is 11 ÷165 is 15
15×8 is 120
15×3 is 45
so there was 45 sheep
Answer:
51.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(D) = EF/FD = 95/75
D = arctan(95/75)
∠D ≈ 51.7°
Answer:
I think its 30 I'm not 100% sure tho