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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.
To solve our given problem, we will divide total volume of wax by volume of one candle.
Volume of each candle will be equal to volume of sphere.
, where r represents radius of sphere.
We know that radius is half the diameter, so radius of each candle will be cm.
Now we will divide 70,650 cubic cm of wax by volume of one candle.
Therefore, 40 candles can be made from 70,650 cubic cm of wax.
Answer:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
Step-by-step explanation:
Given:
We have to match the equivalent expressions:
a. 24 ÷ 3 f. 8 × 50
b. 53 × 7 g. 8 × (5 × 12 − 10)
c. 56 − 21 h. (8 × 7 − 3) × 7
d. 4 − 3 i. 8 × 3 ÷ (6 − 3)
e. 40 × 2
Solution:
a. 24 ÷ 3 = 8
b. 53 × 7 = 371
c. 56 − 21 = 35
d. 4 − 3 = 1
e. 40 × 2 =80
f. 8 × 50 = 400
g. 8 × (5 × 12 − 10) <em>Using PEMDAS rule.</em>
⇒
⇒
⇒
h. (8 × 7 − 3) × 7
⇒
⇒
⇒
i. 8 × 3 ÷ (6 − 3) = 8
⇒
⇒
⇒
Answers:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
c,d and e didn't have any match
a is equivalent to i,b equivalent to h and g is equivalent to f.