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3 years ago

How to solve (8x-30)+(6x+10)=180

1 answer:

7 0

Add the like terms. So I'll add the variables. 8x+6x is 14x. Now add whole numbers. 30+10 is 40. Our new expression we'll be 14x+40=180. Subtract 40 from 180. 180-40=140. Now we have the expression 14x=140. 140 divided by 14 is 10. So x is 10.

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son4ous [18]

Answer:

3.1066≈3.1 feet

Step-by-step explanation:

3.1066≈3.1 feet

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2 years ago

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Yanka [14]

Answer:

Step-by-step explanation:

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3 years ago

Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

8 0

2 years ago

Peaches are on sale at the farmer's market for $1.75

belka [17]

Answer:

5 Pounds of peaches

Step-by-step explanation:

Okay so your first step will be to divide 8.75 by 1.75.

That gives you 5, so she bought 5 pounds

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3 years ago

Find the volume of this composite figure and explain how you got your answer

Damm [24]

To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.

We get the volume of the cuboid by multiplying the base by the width by the length:

Volume of cuboid = 6 x 6 x 4
= 144m³

Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.

Volume of pyramid = 6 x 6 x 8 ÷ 3
= 96m³
-------------------------------------------------------------------------------------------------------------
Answer:
Now that we know the two volumes, we simply add them together:

144 + 96 = 240m³

So the volume of the composite sold is 240m³

7 0

2 years ago