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4 years ago

Solve -x= -4 fhfhfgdydgzxigzogxggdjpsisydgigdgosgis

Mathematics

1 answer:

d1i1m1o1n [39]4 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

We are to solve for;

-x = -4

A number (n) multiplied by x gives -4. What is the number?

n × x = -4

n is definitely equal to -1

So to get the value of x; we divide -4 by -1 to get 4

Therefore x = 4

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.. Carmen bakes and sells pies. She sells each pie for $12.99. The ingredients for 1 apple

Rainbow [258]

Answer: $21.20

Step-by-step explanation:

first, find the profit carmen makes on each pie

12.99 - 8.75 = 4.24

now, we multiply that by the 5 pies that she sold to see what profit she made

4.24 x 5 = 21.2

$21.20

4 0

3 years ago

Nadal invests $5,678 at an annual interest rate of 4.5 percent for 6 years. For which variable can Nadal substitute the value 5,

kirill [66]

Answer:

5678=P

Step-by-step explanation:

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3 years ago

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

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3 years ago

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Lady bird [3.3K]

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3 years ago

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