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3 years ago

Find the LCM of 308 and 420.

Mathematics

2 answers:

siniylev [52]3 years ago

8 0

Answer:

4620

Step-by-step explanation:

Multiples of 308:

308, 616, 924, 1232, 1540, 1848, 2156, 2464, 2772, 3080, 3388, 3696, 4004, 4312, 4620, 4928, 5236

Multiples of 420:

420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200, 4620, 5040, 5460

Therefore,

LCM(308, 420) = 4620

Amiraneli [1.4K]3 years ago

6 0

Answer:

308 = 2² × 7 × 11

420 = 2² × 3 × 5 × 7

LCM(308 ; 420) = 2² × 3 × 5 × 7 × 11 = 4620

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Alang went to the store to buy some walnuts. The price per pound of the walnuts is $7 per pound and he has a coupon for $2.50 of

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Answer:

$11.50 is the cost for 2 pounds of walnuts

Expression: 7p - 2.50

Step-by-step explanation:

First, create an expression to represent the cost:

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2 years ago

Trevon invests $1650.00 into an account that earns 2% annual interest rate compounded continuously. Assuming no other withdrawal

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Answer:

1914

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1 year ago

A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?

ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

$V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi$

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

$V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi$

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

$\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%$

30.56% of volume of the grapefruit is the peel.

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3 years ago