What numbers add up to equal -25?

A sphere has a volume of 32/3 pie cubic units what is the radius of the sphere

Digiron [165]

Answer:

radius=2

Step-by-step explanation:

volume= 4/3 pi r^3

32/3pi=4/3r^3

divide out 4/3

8pi=r^3

cube root

r=2

4 0

3 years ago

2/3=(x+7)/3x

Goryan [66]

Answer:

x = 7

Step-by-step explanation:

I reversed it for easy viewing:

(x+7)/3x = 2/3

<=> (x + 7).3 = 2.(3x)

<=> 3x + 21 = 6x

<=> 21 = 6x - 3x

<=> 3x = 21

<=> x = 7

5 0

3 years ago

Read 2 more answers

Pls help me answer this and I will help you answer your question or pay you

Eva8 [605]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)

When choosing a dog from random, you can either choose:

Brown/M

Brown/F

Black/M

Black/F

Yellow/M

Yellow/F

(This list is called the Sample Space, a list of all possible outcomes)

Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.

When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.

7 0

3 years ago

Trahn purchased a pair of slacks for $39.95 and a jacket for $64. The sales tax rate on his purchases was 5.5%. Find the total c

Lelu [443]

$64 + #39.95= $103.95
103.95/100*5.5=5.71725
103.95+5.71725=109.66725
approximately equal to $109.67

7 0

3 years ago

help with number 1 please! it would be very helpful if you would show all the steps so i can learn how to do it. thank you!

torisob [31]

The problem to solve is:

The goal here is to solve
y=-2x-7 and
y=-3x-9 for the variables y and x.

First, let's work on your first equation,y=-2x-7This means, see if it can be simplified at all before attempting to solve it.
Multiply x and 2Multiply x and 1The x just gets copied along.The answer is xx2*x evaluates to 2xBecause of the minus sign2x becomes - 2xThe answer is -2x-2*x-7 evaluates to -2x-7So, all-in-all, your first equation can be written as: y = -2x-7Now, let's work on your second equation,y=-3x-9 Multiply x and 3Multiply x and 1The x just gets copied along.The answer is xx3*x evaluates to 3xBecause of the minus sign3x becomes - 3xThe answer is -3x-3*x-9 evaluates to -3x-9So, all-in-all, your second equation can be written as: y = -3x-9After this initial survey of the equations, the system of equations we'll set out to solve is:
y = -2x-7 and y = -3x-9Let's start by solving y = -2x-7 for the variable y.

To isolate the y, we have to divide both sides of the equation by the other variables
around the y on the left side of the equation.
and this is the final solution to your equation.Next, let's solve y = -3x-9 for the variable x.
Move the y to the right hand side by subtracting y from both sides, like this:
From the left hand side:
y - y = 0The answer is 0From the right hand side:
The answer is -3x-9-y
Now, the equation reads:
0 = -3x-9-yMove the -3x to the left hand side by adding 3x to both sides, like this:
To the left hand side:
The answer is 3xTo the right hand side:
-3x + 3x = 0xThe answer is -9-y
Now, the equation reads:
3x = -9-y
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
The last step is to divide both sides of the equation by 3 like this:
To divide x by 1The x just gets copied along in the numerator.The answer is x3x ÷ 3 = xTo divide -9-y by 3divide each term in -9-y by 3 term by term.-9 ÷ 3 = -3To divide y by 1The y just gets copied along in the numerator.The answer is y-y ÷ 3 =The solution to your equation is:
x =Now, plug the earlier result, y=-2x-7, in for y everywhere it occurs in
x=-3-1/3y.
This gives x=-3-1/3(-2x-7). Now all we have to do is solve this for x,to have our first solution.
Because of the minus sign3 becomes - 3The answer is -31/3 evaluates to Multiply x and 2Multiply x and 1The x just gets copied along.The answer is xx2*x evaluates to 2xBecause of the minus sign2x becomes - 2xThe answer is -2x-2*x-7 evaluates to -2x-7Multiply by -2x-7we multiply by each term in -2x-7 term by term.This is the distributive property of multiplication.Multiply and -2xMultiply 1 and xThe x just gets copied along.x × -2x =Multiply and -71 × -7 =1/3*(-2*x-7) evaluates to -3 - =The answer is-3-1/3*(-2*x-7) evaluates to Move the to the left hand side by subtracting from both sides, like this:
From the left hand side:
x - =The answer isFrom the right hand side:
 - = 0The answer is
Now, the equation reads:
=
To isolate the x, we have to divide both sides of the equation by the other variables
around the x on the left side of the equation.
The last step is to divide both sides of the equation by like this:
To divide x by 1The x just gets copied along in the numerator.The answer is x ÷ = x ÷ = -2The solution to your equation is:
x = -2Lastly, to find the solution for y, we plug this answer for x into the earlier result that
y=-2x-7.
This gives y=-2(-2)-7. Now, simplify this.
Because of the minus sign2 becomes - 2The answer is -22 becomes - 2Multiply -2 and -21-2*(-2) evaluates to 4-2*(-2)-7 evaluates to -3y= -3So, the solutions to your equations are:
y= -3 and x= -2Because of the minus signThe answer is -2

5 0

3 years ago