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3 years ago

Item 2 Solve the equation. 6.7x=5.2x+12.3

1 answer:

6 0

To solve for x, subtract 5.2x on both sides to get 1.5x=12.3. divide 1.5 on both sides to get x = $\frac{123}{15}$ or x = $\frac{41}{5}$ = 8.2

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The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)

Ann [662]

Answer:

$h=30$

Step-by-step explanation:

Volume of a cone=1540 $cm^{3}$ , Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is $\frac{1}{3} \pi r^{2} h$ to find the height of a cone.

$1540cm^{3} =\frac{1}{3}\pi r^{2} h$

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

$1540cm^{3}=\frac{1}{3}*\frac{22}{7} 7^{2}h$

$1540cm^{3} =\frac{154}{3}h$

Move $\frac{154}{3}$ to another side. 1540 divided by $\frac{154}{3}$ to calculate what is the value of h, h is the height of a cone. Like this.

$\frac{1540cm^{3} }{\frac{154}{3} } =h$

$30=h$

Rearrange the h.

$h=30$

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0

3 years ago

Read 2 more answers

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777dan777 [17]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Today everything at a store is on sale The store offers a 20% discount The regular price of a tshirt is 18$ what is the discount

kirill [66]

The discounted price is $14.40. Hope this helped.

6 0

3 years ago

There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality g

Vlad1618 [11]

Answer:

Option B. $b\geq 9$

Step-by-step explanation:

Let

b------> the number of buses

we know that

$48b\geq (412+20)$ -----> inequality that represent the situation

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$48b\geq 432$

$b\geq 432/48$

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6 0

3 years ago

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What is 9/11 +2/3 and show the work

andrey2020 [161]

Answer:

25/33

Step-by-step explanation:

1) find the least common denominator (LCD)

The LCD of 11 and 3 is 33

Multiply 9/11 by 3/3

You can do this because you are basically multiplying 9/11 by 1, (3/3 = 1)

See file below for steps

6 0

3 years ago