All categories

3 years ago

Three times a number plus 12 minus 5 times the same number is 22

2 answers:

5 0

Three times (3 ·) a number (x) plus (+) 12 minus (-) 5 times (·) the same number (x) is (=) 22

3x + 12 - 5x = 22 Combine like terms (3x and -5x)
-2x + 12 = 22 Subtract 12 from both sides
-2x = 10 Divide both sides by -2
x = -5

Luba_88 [7]3 years ago

4 0

1. a number is represented by "x"

3x + 12 - 5x = 22 
12 - 2x = 22 
-2x = 10 
x = -5 

2. (45) + (45) + (45 + 6x) = 303 
job 1, 2, 3 equals total for the day 

135 + 6x = 303 
6x = 168 
x = 28

the plumbers hourly rate is $28/hr

You might be interested in

Product of -28 and sum of 3

ale4655 [162]

-4 and 7 would be the answer

3 0

3 years ago

Read 2 more answers

Shari is adding these fractions: 1/3 + 1/4 What's her next step?

Arlecino [84]

Her next step is to find a common denominator. Remember that if you multiply a number to the denominator, you'll have to multiply it to the numerator too:

1/3(4/4) + 1/4(3/3)

4/12 + 3/12

Simplify. Combine like terms

4/12 + 3/12 = 7/12

7/12 will be final solution

hope this helps

7 0

3 years ago

Read 2 more answers

A spinner is divided into 8 section of equal size. The sections are numbered 1 through 8. Use this information to determine the

olga_2 [115]

1) 1/8

2) 1/2

Step-by-step explanation:

First of all, we notice that the spinner is divided into 8 sections of equal size.

So the number of sections is

n = 8

Secondly, we note that each section has the same size: this means that the probability of the spinner landing on each section is the same.

The probabilty of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes (in which A occurs)

n is the total number of possible outcomes

Here we want to find

$p(7)$ = probability that the spinner lands on section 7

Here we have:

$a=1$ (only 1 outcome is successfull: the one in which the spinner lands on section 7)

$n=8$

Therefore, the probability is

$p(7)=\frac{1}{8}$

Here we want to find the probability that the spinner lands on an even numbered section.

As before, the total number of possible outcomes his:

$n=8$

which corresponds to: 1, 2, 3, 4, 5, 6, 7, 8

The even-numbered sections are:

2, 4, 6, 8

So, the number of successfull outcomes is

$a=4$

Because there are only 4 even-numbered sections.

Therefore, the probability that the spinner lands on an even numbered section is:

$p(e)=\frac{a}{n}=\frac{4}{8}=\frac{1}{2}$

8 0

2 years ago

What is the expanded form of 5³?

Aleksandr [31]

5 x 5 x 5
Expanded just means writing it out as you would solve it. So solving a cube would be multiplying the number by itself 3 times

6 0

3 years ago

Read 2 more answers

A projectile is fired into the air with an initial vertical velocity of 160 ft/sec from ground level. How many seconds later doe

djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

$\mathbf{h(t) = -16t^2 + 160t}$

Differentiate the function with respect to t

$\mathbf{h'(t) = -32t + 160}$

Set to 0

$\mathbf{h'(t) = -32t + 160 = 0}$

So, we have:

$\mathbf{-32t + 160 = 0}$

Collect like terms

$\mathbf{-32t =- 160 + 0}$

$\mathbf{-32t =- 160}$

Solve for t

$\mathbf{t = \frac{- 160}{-32}}$

$\mathbf{t = 5}$

Hence, the projectile reaches the maximum after 5 seconds