After taxes, Alexandra's take home pay is 3 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $162 of take-home pay. Let s represent your variable. The equation is . Alexandra's salary before taxes for the pay period was $

Answers

Answer 1

Answer:

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540


Related Questions

When the sum of a number and 5 is divided by 2, the results is 11. What is the number?

Answers

Answer:

17

Step-by-step explanation:

Let x = the number we have to find

From the given information, we have this equation:

(x + 5) / 2 = 11

<=> x + 5 = 11 . 2 = 22

<=> x = 22 - 5 = 17

Answer: 17

Step-by-step explanation:

I guess you would have to guess and check for this one.

17+5= 22

22/2 = 11

hope this helps

In a two-step equation, you should take care of multiplication and division before addition and subtraction.

Answers

i’m not sure if this is a question, but yes, i like to use “PEMDAS”.
Parentheses, exponents, multiply, divide, add, subtract.
You always go in order from left to right!

What is the formula for the volume of a cylinder

Answers


The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm

16. Construct 3 equations starting with x = 5.

Answers

TO FIND: construct 3 equation starting with x=5?

SOLUTION:

The equation is in the form of variable and constant equating.

Let the equation be x=5.

TO CREATE AN EQUATION,

FIRST WE ADD 5 BOTH SIDe,

x + 5=5+5

=x + 5=10

SECOND WE SUBRACT 5 BOTH SIDE,

x — 5=5—5

=x—5=0

THIRD WE MULTIPLY 5 BOTH SIDE,

5x=5×5

=5x=25

well u got the answer!

Steve's lawn is 60 feet long and 40 feet wide.
He would like to reduce its size to one half
its original area. If he reduces the width to
30 feet, what should the new length be?

Answers

Answer:

40 feet

Step-by-step explanation:

60x40=2400

2400/2=1200

1200/30=40

Which expressions are equivalent to z+(z+6)​

Answers

Answer:

It's 2 (z + 3)

Which ordered pairs make the open sentence true?

5x- y > 12
Select all the correct answers.
(3, 4)
(4, 9)
(1, – 8)
- (0, – 10)
(-1, – 17

Answers

Answer:

(1, -8)

Step-by-step explanation:

5(1) - (-8) =  5 + 8

= 13.

An ordered pair is represented by (x,y). The ordered pair that makes the sentence 5x- y > 12,  true is (1,-8)

Given that:

[tex]5x - y > 12[/tex]

First, we test each option

[tex](a)\ (3,4)[/tex]

So, we have:

[tex]5 \times 3 - 4 > 12[/tex]

[tex]15 - 4 > 12[/tex]

[tex]11 > 12[/tex] ---- This is false

[tex](b)\ (4,9)[/tex]

So, we have:

[tex]5 \times 4 - 9 > 12[/tex]

[tex]20 - 9 > 12[/tex]

[tex]11> 12[/tex] --- This is false

[tex](c)\ (1,-8)[/tex]

So, we have:

[tex]5 \times 1 --8 > 12[/tex]

[tex]5 +8 > 12[/tex]

[tex]13 > 12[/tex] --- This is true

[tex](d)\ (0,-10)[/tex]

So, we have:

[tex]5 \times 0--10 > 12[/tex]

[tex]0+10>12[/tex]

[tex]10>12[/tex] ---- This is false

[tex](e)\ (-1,-17)[/tex]

So, we have:

[tex]5 \times -1 --17 > 12[/tex]

[tex]-5 +17 > 12[/tex]

[tex]12 > 12[/tex] --- This is false

Hence, the ordered pair that makes [tex]5x - y > 12[/tex], true is: [tex](c)\ (1,-8)[/tex]

Learn more about ordered pair at:

https://brainly.com/question/13688667

[tex]\sqrt{8ux^{5} } \sqrt{2ux}[/tex]

Answers

Answer:

4ux³

Step-by-step explanation:

√8ux⁵ √2ux

√8*2 u*u x⁵*x

√16u²x⁶

4ux³

Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Answers

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1)  ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex]C(x_1,y_1) = (2,7)[/tex]    and     [tex]M(x,y) = (-1,-1)[/tex]

Put these values in the formula

[tex](-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]

By comparison;

[tex]-1 = \frac{2+x_2}{2}[/tex]  and [tex]-1 = \frac{7+y_2}{2}[/tex]

[tex]-1 = \frac{2+x_2}{2}[/tex]

Multiply both sides by 2

[tex]-2 = 2 + x_2[/tex]

Subtract 2 from both sides

[tex]-2 -2 = x_2[/tex]

[tex]x_2 = -4[/tex]

[tex]-1 = \frac{7+y_2}{2}[/tex]

Multiply both sides by 2

[tex]-2 = 7 + y_2[/tex]

Subtract 7 from both sides

[tex]-2 - 7 = y_2[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of D is (-4,-9)

Brody’s family took a road trip to the Grand Canyon. Brody fell asleep 65% of the way through the trip. If 35 sleep after they have travel 390 miles, what was the total length of the trip?

Answers

Answer:

Total length of the trip = 600 miles

Step-by-step explanation:

Given:

Distance travel during sleep = 65%

Distance travel during sleep = 390 miles

Find:

Total length of the trip

Computation:

Total length of the trip = Distance travel during sleep [100 / 65]

Total length of the trip = 390 [100 / 65]

Total length of the trip = 600 miles

If you were to spin a spinner at right, what would be the probability of landing on a green or purple?

Answers

Answer:

2/3 probability or 66%

Step-by-step explanation:

hope this helps!!

Identify the monomial: -5.12
A monomial
B binomial
C trinomial
D quadrinomial

Answers

Answer:

-5 times 12 is a binomial

Step-by-step explanation:

two terms = binomial

HOWEVER IF IT's -5.12 then it's a monomial because it's one term

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?

Answers

Answer: the correct answer is A and D

Step-by-step explanation:

Just answered the question.

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Got it right on edg

how long will an object take to travel 4.8km at 48m/s​

Answers

Answer:

Step-by-step explanation:

time=distance/speed

=4800/48

100

Answer:

[tex]\Huge \boxed{\mathrm{100 \ seconds}}[/tex]

Step-by-step explanation:

4.8 kilometers is 4800 meters.

[tex]\sf \displaystyle time \ (s) = \frac{distance \ (m) }{speed \ (m/s)}[/tex]

[tex]\sf \displaystyle t = \frac{4800}{48}[/tex]

[tex]\sf \displaystyle t = 100[/tex]

It will take the object 100 seconds.

Solve the equation
7x25=30

Answers

Answer:

x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)

Step-by-step explanation:

Solve for x:

7 x^25 = 30

Hint: | Divide by an appropriate factor to make the coefficient of x^25 equal to 1.

Divide both sides by 7:

x^25 = 30/7

Hint: | Take 25^th roots of both sides.

Taking 25^th roots gives (30/7)^(1/25) times the 25^th roots of unity:

Answer: x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)

For what value of the variable will the expression 8b−27 be equal to the following:
5

Answers

Answer:

We need to find the value of b to make 8b - 27 be equal to 5, so:

8b - 27 = 5

We solve the equation:

8b = 5 + 27

8b = 32

We divide both sides by 8:

b = 32/8 = 4

So now, we know that b=4, and we can verify:

8*4 - 27 = 5

32 - 27 = 5 TRUE

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please help I will give brainliest

which expression is equivalent to 1.5(6x+3y)+2x-0.05y?

A.11x+4.45y
B.11x+5y
C.11x+2.95y
D.9.5x+4y​

Answers

Answer:

The correct option is (a).

Step-by-step explanation:

We need to find the expression that is equivalent to 1.5(6x+3y)+2x-0.05y.

Firstly opening brackets as follows :

[tex]1.5(6x+3y)+2x-0.05y=1.5\times 6x+1.5\times 3y+2x-0.05y\\\\=9x+4.5y+2x-0.05y[/tex]

Now taking x terms and y terms together

[tex]9x+4.5y+2x-0.05y=(9x+2x)+(4.5y-0.05y)\\\\=11x+4.45y[/tex]

So, 1.5(6x+3y)+2x-0.05y is equal to 11x+4.45y.

true or false if a x b=0 the either a=0 or b=0 pls help!!

Answers

Answer:

yes that answer is true

FAIpQLSDODAao9u4Y1tCopNRMLxSthe8ht18w
16) 14x –9y=-25
7x – y=-30​

Answers

Answer:

what

Step-by-step explanation:

The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one.

Charmaine works mowing lawns and babysitting. She earns $8.80 an hour for mowing and $8.10 an hour for babysitting. How much will she earn for 6 hours of mowing and 1 hour of babysitting?

Answers

Answer:

Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.

Step-by-step explanation:

We must write the data problems.

Charmaine = $8.80/h mowing

Charmaine = $8.10/h babysitting

How much will Charmaine earn for 6 h mowing and 1 h babysitting?

1 h mowing ....................... $8.80

6 h mowing ....................... $x

x = 6 h mowing * $8.80

x = $52,8

To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.

$52,8 (from mowing) + $8.10 (from babysitting) = $60.90

Hey guys I’m really stressful but here the question

Y=2x

Here the pic ⬆️

Answers

X | Y
-1 | -2
0 | 0
1 | 2
2 | 4

You would just multiply everything by two because in this case Y equals two X

what is another way to write -3 x (4 + 7)​

Answers

negative 3 and the product of 4 more than 7

True or False? If false, explain why? All whole numbers are natural numbers.

Answers

Answer:It depends, many people do count 0 as a natural number, but MOST do not.

So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.

Answer:

false

Step-by-step explanation:

because the set of whole numbers starts from 0 whereas the set of natural numbers starts from 1 and so on

please help!! Please give step by step so i can understand
Find p in the equation ( attached photo of the equation)

Answers

Answer:

p = - 14

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Note 81 = 9² and 729 = 9³

Given

[tex](81)^{-4}[/tex] ÷ [tex](729)^{2-p}[/tex]

= [tex](9^{2}) ^{-4}[/tex] ÷ [tex](9^{3}) ^{2-p}[/tex]

= [tex]9^{-8}[/tex] ÷ [tex]9^{6-3p}[/tex]

= [tex]9^{-8-(6-3p)}[/tex]

= [tex]9^{-8-6+3p}[/tex]

= [tex]9^{3p-14}[/tex]

Thus

[tex]9^{3p-14}[/tex] = [tex]9^{4p}[/tex]

Since bases on both sides are equal then equate the exponents

4p = 3p - 14 ( subtract 3p from both sides )

p = - 14

Dividing by 3 is the same as multiplying by 1/3. True or false

Answers

Answer:

this is true!

Step-by-step explanation:

its true lnfao.

Answer:

Step-by-step explanation:no different

What is 0.57 x 1000?​

Answers

Answer:

570

Step-by-step explanation:

When we are multiplying anything by 10, we are multiply by the base ten rules.

If that is the case, then when we multiply 0.57 by 1000, we move the decimal place 3 times to the right.

We should get 570 as our answer.

Answer:

570

Step-by-step explanation:

.

Jim is twice as old as his sister. If s isthe sister's age, what is the sum of their ages?

Answers

Answer:

3s

Step-by-step explanation:

Given:

Jim is twice as old as his sister.

His sister's age is signified by the variable s.

∴ Jim's age is 2s.

You are trying to find the sum of both their ages, or add them together:

2s + s

Simplify. Combine like terms:

2s + s = 3s

3s is the expression you will use to find the sum of their ages.

Write the equation for a line in slope-intercept form (y=mx+b) that
is parallel to y = -2x + 3 and passes through the point (-3,5).

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

Parallel lines have the same slope, so the slope will also be -2.

Plug this slope and the given point into the equation y = mx + b and solve for b:

y = mx + b

5 = -2(-3) + b

5 = 6 + b

-1 = b

Then, plug this and the slope into the equation:

y = -2x -1 will be the equation

Powers of 10 with negative exponents:
less than 1
greater than 1

Answers

Answer:

less than 1

Step-by-step explanation:

the base of a triangle is 3.4cm.the area is 20.74cm.find the height to 1 dp​

Answers

Answer:

12.2 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 20.74 and b = 3.4 , thus

[tex]\frac{1}{2}[/tex] × 3.4 × h = 20.74 ( multiply both sides by 2 to clear the fraction )

3.4h = 41.48 ( divide both sides by 3.4 )

h = 12.2 cm

Answer:

h = 12,2 cm

Step-by-step explanation:

Area formula

A = b×h/2

20.74 = 3.4×h/2

41.48 = 3.4h

h = 41.48/3.4

h = 12,2 cm

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