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3 years ago

Subtract the following rational expressions

Mathematics

1 answer:

lesya692 [45]3 years ago

5 0

$\dfrac{2k}{3k-7} - \dfrac{3}{8k} = \dfrac{8k(2k)}{8k(3k-7)} - \dfrac{3(3k-7)}{8k(3k-7)} = \dfrac{8k(2k)-3(3k-7) }{8k(3k-7)} = \dfrac{16k^2 - 9k + 21}{24k^2-56}$

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A can of tuna has a volume 18pi cm3 and a height of 2 cm. Find the area of the label that wraps around the entire can and does n

Sphinxa [80]

Answer:

The area of the label is $12\pi\ cm^{2}$

Step-by-step explanation:

step 1

Find the radius

we know that

The volume of the cylinder (can of tuna) is equal to

$V=\pi r^{2} h$

In this problem we have

$V=18\pi\ cm^{3}$

$h=2\ cm$

substitute and solve for r

$18\pi=\pi r^{2} (2)$

Simplify

$18=r^{2}(2)$

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$r=3\ cm$

step 2

Find the lateral area of the can

The lateral area of the cylinder (can of tuna) is equal to

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we have

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3 years ago

On the day of his 18th birthday harry decided to start saving money regularly

Veseljchak [2.6K]

We have been given that on the day of his 18th birthday Harry decided to start saving money regularly . Starting on that day, he could save 30.00 on the same date every month. We are asked to find the amount saved by the day before Harry's 60th birthday.

First of all, we will find years from 18 years to 60 years.

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We know that 1 year equals 12 months.

$\text{42 years}=12\times 42\text{ Months}=504\text{ Months}$

To find total amount saved, we will multiply 504 months by amount saved per month.

$\text{Total amount saved}=\$30\times 504$

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Therefore, Harry would have saved $\$15,120$ by the day before his 60th birthday.

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3 years ago

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Answer:

Step-by-step explanation:

the correct answer is 56.55 inches

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

The sum of three numbers is 72

LekaFEV [45]

Answer: The first number is 8

Step-by-step explanation: Let the three No. s be x, y and z respectively

given = x+ y+ z= 72

y=7x

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i.e. x+7x+7x-18=72

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The second no. is y=7x = 56

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3 years ago

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