A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
By definition we have that the volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height
We then have to replace the values:
V = (7) * (5.5) * (2.5)
V = 96.25 in ^ 3
Equivalently:
V = 96 1/4 in ^ 3
B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.
No, this fish tank could not hold 100 in³ of water.
This is because the prism volume (part A) is less than 100 in ^ 3.
In other words;
96 1/4 in ^ 3 <100 in ^ 3
Answer:
x=1
Step-by-step explanation:
In order to solve this equation, we must add 7 to each side. This gives us x=1
2/3 ÷ 4
2/3 ÷ 4/1
We invert the 4/1 to 1/4 and multiply out.
2/3 × 1/4
= 1/3 × 1/2 2 into 4 is 2.
= 1/(3 × 2)
= 1/6
Hope this helps.
Answer:
A, B, D are true
Step-by-step explanation:
A) Speed = Distance travelled ÷ time taken
= 112 ÷ 1.75
= 64 miles per hour
True
B) Cost of 6 pens = $7.74
Cost of 1 pen = 7.74 ÷ 6 = $ 1.29
Cost of 7 pens = 1.29 * 7 = $ 9.03
TRUE
C) Speed = 57 miles per hour
4 hour 10 minutes = 250 minutes
Distance traveled in an hour = 57
Distance traveled in 250 minutes = (57* 250) ÷ 60 = 237.50 miles
FALSE
D) Cost of 17 cans = $ 38.59
Cost of 1 can = 38.59 ÷ 17 = $2.27
Cost of 3 cans = 2.27 * 3 = $ 6.81
TRUE
e) Cost of two dozen eggs = $ 8.40
Cost of an egg = 8.40 ÷ 24 = $ 0.35
FALSE
Answer:
0.1575
Step-by-step explanation:
Probability of picking a girl is 0.45 and probability of a girl scoring A is 0.35.
Therefore probability of a girl scoring A is 0.45*0.35=0.1575
