A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation 10y-30x=20 . The business owner states that the employees should be paid a wage given by the equation 6y+30x=60. If the two equations were added then simplified to determine hourly wage, y, how much would the employees be paid?

Answers

Answer 1

Answer:

The employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

System of Equations

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5


Related Questions

Rotate the given figure about the origin using the given angle.

Answers

Answer:

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Step-by-step explanation:

when we rotate 90 degrees clockwise, we have that;

(x,y) becomes (-y,x)

Let us get the coordinates before rotation

P (2,5)

J( 3,0)

M ( 2,-1)

Y (0,4)

After the rotation, we have;

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Answer:

P’(-5,2)

J’(0,3)

M’(1,2)

Y’(-4,0)

Step-by-step explanation:

Cory went to Kohl's and bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for d dollars each. He spent a total of $135.97. Write an equation to find the cost of one pair of shoes.

Answers

Answer:

[tex]25+3d=135.97[/tex]

Step-by-step explanation:

Number of pairs of socks = 10

Cost of each pair of socks = $2.50

Cost of 10 pairs of socks = 10 × 2.50 = $25

Number of pairs of shoes = 3

Cost of each pair of shoes = $d

Cost of d pair of shoes = $3d

Therefore,

[tex]25+3d=135.97[/tex]

So,

Equation is [tex]25+3d=135.97[/tex]

Please help me:) this is due by tonight!

Answers

Answer:

[tex]Solution,\\Here,\\Slope~of~line~y=\frac{2}{3}x+19, m_1=\frac{2}{3} \\Let~slope~of~line~passing~through~(6,2)~and~parallel~to~ y=\frac{2}{3}x+19~be~m_2.\\Using~condition~of~parallel~lines,\\m_1 = m_2\\or, m_2 = \frac{2}{3} \\Now,\\The~eq^n~of~a~line~passing~through~(6,2)~and~having~slope~\frac{2}{3}~is~given~by:\\y-2=\frac{2}{3} (x-6)\\or, 3y-6 = 2x-12\\or, 2x-3y = 12-6\\or, 2x-3y=6~is~the~required~equation[/tex]

need help math please

Answers

Answer:

80

Step-by-step explanation:

Rounding to the nearest tenth, we get:

100, 80, 40, 90, 80, 100, 90, 90, 80, 80, 80

Number no. of times

100 2 80 5 40 1 90 3

80 occurs 5 times (most of the times) so, 80 will be the mean.

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

And electrician needs 2 rolls of electrical wire to wire each room in a house how many rooms can he wire with 3/4 of a roll of wire

Answers

Answer:

3/8 room

Step-by-step explanation:

Given data

We are told that 2 rolls of wire are needed to wire 1 room

Hence if 1 room needs 2 rolls

               x rooms will need 3/4 rolls

cross multiply we have

2x= 3/4

Multiply  both sides by 1/2

x= 3/4*1/2

x= 3/8 room

Which is equivalent to the square root

Answers

Step-by-step explanation:

[tex] { \sqrt[3]{8} }^{ \frac{1}{4}x } = {2}^{ \frac{1}{4} x} = {8}^{ \frac{1}{3} \times \frac{1}{4}x } \\ = {8}^{ \frac{1}{12} x} \\ = { \sqrt[12]{8} }^{x} [/tex]

How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution

Answers

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces

Mr. Sloan leaves his house at 8:30. It takes 50 minutes to get to Boston airport. There were a 45 minute delay. It will take 5 hour and 10 minutes for the trip to Salt lake. What time will Mr. Sloan arrive in Salt Lake

Answers

Answer:

15:15

Step-by-step explanation:

The time he would get to salt lake is the sum of all the times

8: 30 + 45 min + 50 min + 5:10

to find the time, add only the minutes : 30 + 45 + 50 + 10 = 135 minutes

Remember 60 mins = 1 hour

so 135 mins = 2 hours 15 minutes

Now add the hours

8 + 5 = 13 hours

13 hours + 2 hours 15 minutes = 15:15

any smart people wanna help me

Answers

Answer:

B. 3x + 60

Step-by-step explanation:

Which of these graphs represents a function?

Answers

Answer:

I believe it would be graph Z :)

Step-by-step explanation:

Answer:

it’s graph x

Step-by-step explanation:

vertical line test, put a vertical line through the graph, if it touches more than 1 point(2 or more) it’s not a functions

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 5

Answers

it’s 100 degrees since it’s parallel to line n

Answer:

Angle 8 is 100 degrees.

Step-by-step explanation:

Corresponding angles (angles on the same spot in the transversal) are equal to each other. For example angle 2 will be equal to angle 6.

If f(x) = 2x² – 2, what is the value of f(2)?
A 6

10
C 14
D 62

Answers

Answer:

c

Step-by-step explanation:

PLEASE HELP ME WITH THIS IM SO STUCK

Answers

a. multiply both sides with 11

[tex]\\ b=66[/tex]

if we multiply both sides by 11 it cancels out leaving us with the variable on one side of the equation making the answer b=66

A is 11
B is 66
Hope that helps

What is 1/3x1/3x1/3 in exponents

Answers

Answer:

i came up with to awnsers depending on what you need

Step-by-step explanation:

if it is positive exponents then

1

3

(

x

(

1

3

)

)

(

x

(

1

3

)

)

if negative

1

27

x

1

x

1

The simplified expression 1/3 * 1/3 * 1/3 as exponents is 1/3³

How to simplify the expression as exponents

From the question, we have the following parameters that can be used in our computation:

1/3 * 1/3 * 1/3

Express as equation

Result = 1/3 * 1/3 * 1/3

Apply the law of indices

So, we have the following representation

1/3 * 1/3 * 1/3 = 1/3¹⁺¹⁺¹

Evaluate the sum

1/3 * 1/3 * 1/3 = 1/3³

Using the above as a guide, we have the following:

The expression cannot be further simplified

Hence, the simplified expression is 1/3³

Read more about expressions at

brainly.com/question/30492964

#SPJ6

Charlie watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 2 5 of the movie left to watch. How much of the movie did Charlie watch at night?

Answers

Answer: 4/15 of the movie

Step-by-step explanation:

In the morning, Charlie watched ¹/₃ of a movie. He then watched some more at night.

At the end of the day, he still had ²/₅ of the movie to watch.

The proportions of an item must always add up to one. This means that if you added the 1/3 to the 2/5 and then to the fraction Charlie watch at night, they should add up to one.

¹/₃ + ²/₅ + x = 1

x = 1 - ¹/₃ - ²/₅

[tex]x = \frac{15 - 5 - 6 }{15} \\\\x = \frac{4}{15}[/tex]

How do you do 20/4 divided by 8/9 and put it in simplest form?

Answers

Answer:

45/8, or 5.625

Step-by-step explanation:

20/4 is simplified to 5/1.

5/1 divided by 8/9

5/1 * 9/8

45/8

simplified to 5.625

Answer:

45/8 or 5 5/6.

Step-by-step explanation:

20/4 / 8/9            We invert the second fraction and multiply:

= 20/4 * 9/8

= 180 / 32

= 45/8

= 5 5/8.

PLEASE HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

C. x = 12

Step-by-step explanation:

The equation simplifies to [tex]\frac{5}{6} x + 4 = x + 2[/tex]. This can further simplify to [tex]-\frac{1}{6}x = -2[/tex]. Divide both sides by [tex]-\frac{1}{6}[/tex] to get [tex]x = 12[/tex].

Hope it helps!

find the factors of (2y+1/3)^2- (3y+1/2)^2 pls reply fast!!!

Answers

Try using Photomath!

Answer:
a^2-b^2=(a+b)(a-b) where a =2y+1/3 and b=3y+1/2

-5(-1)^2(y+1/6)^2

I hope this helps :)

PLEASE HELP!

Verify that f and g are inverses functions using composition , show your steps

Answers

Answer: We can conclude that f(x) and g(x) are not inverses.

Step-by-step explanation:

If we have two functions:

f(x) and g(x)

These functions are inverses if:

f( g(x) ) = x

g( f(x) ) = x

In this case, we have:

f(x) = 12*x - 12

g(x) = (1/12)*x - 1

Now we need to check the compositions:

f( g(x) ) = 12*g(x) - 12 = 12*( (1/12)*x - 1) - 12 = (x - 12) - 12 = x - 24

and:

g( f(x)) = (1/12)*f(x) - 1 = (1/12)*(12*x - 12) - 1 = 12*x/12 - 12/12 - 1 = x - 1 - 1 = x - 2

In both cases, we can see that:

f( g(x) ) ≠ x

and:

g( f(x) ) ≠ x

Then we can conclude that f(x) and g(x) are not inverses functions.

Here, thankyou!!!!!!!

Answers

Answer:

Perimeter of i - 22CM

Area of i - 13CM^2

Perimeter of ii -38CM

Area of ii -66CM^2

Perimeter of iii -30CM

Area of iii- 42CM^2

Perimeter of iv - 50CM

Area of iv- 126CM^2

Step-by-step explanation:

SHAPE I:

PERIMETER = S + S + S + S + S +S

= 7 + 1 + 5 +3 +4 +2

= 22CM

AREA = Part a - 4 * 2 = 8cm^2 part B - 5 *1 = 5cm^2

Total = 8 + 5 = 13cm^2

SHAPE II:

PERIMETER = S + S + S + S + S +S

= 4 + 4 +5 + 6 + 9 + 10

= 38 CM

AREA = Part a - 5 * 10 = 50 cm^2 part B - 4 *4 =16 cm^2

Total = 50+16 =66 cm^2

SHAPE III:

PERIMETER = S + S + S + S + S +S

= 9 + 2 + 3 + 4 + 6 + 6

= 30CM

AREA = Part a - 6 * 6 = 42cm^2 part B - 3 * 2= 6cm^2

Total = 36 + 6 =42 cm^2

SHAPE IV:

PERIMETER = S + S + S + S + S +S

= 9 + 10 + 4 + 6 + 6 + 15

= 50 CM

AREA = Part a -15 * 6 = 90 cm^2 part B - 9 *4 = 36cm^2

Total = 90 + 36 = 126cm^2

HOPE THIS HELPED

I need help please-

Answers

Answer:

144x^22y^16

Step-by-step explanation:

The price of an item yesterday was $140. Today, the price fell to $119. Find the percentage decrease.

Answers

Answer:

-15%

Step-by-step explanation:

Answer

15%-

Explanation

Solve:
Q1) 22
- 2 – 20 < 0

Answers

Answer:0<0

Step-by-step explanation: hope i helped

Answer:

22−2−20<0

0≮0

False

Step-by-step explanation:

Sophie is planting a circular garden with a 7-foot radius. What is the circumference of Sophia's garden? Use 22/7 for /pi. Enter the correct answer in the box.
[tex]\pi[/tex]

Answers

Answer:

154 sq ft

Step-by-step explanation:

Area = pi * r^2 with radius r

A = pi * r^2 = 22/7 * 7^2 = 22 * 7 = 154 sq ft

Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain

Answers

Can you give more details??

A math textbook has a mass that is 400 grams greater
than a science textbook. If the science textbook has a
mass of 2 kilograms, what is the mass of the math
textbook, in kilograms?

Answers

Answer:

0.8

Step-by-step explanation:

because 400g = 0.4kg

and 0.4kg x 2 = 0.8

hope this helped :)

Please- I will give BRAINLIEST:)

Answers

Answer:

D

Step-by-step explanation:

Answer:

A rotation doesn't change side length so I think it would be = to AB so 7

Step-by-step explanation:

four rulers and three pencils cost £2.15
three rulers and four pencils cost £2.05
work out the cost of a ruler and the cost of a pencil

Answers

Answer:

4r + 3p = 2.15

3r + 4p = 2.05

I have no idea.......

what's the area of this parallelogram?

Answers

Answer:

Letter B. sir

Step-by-step explanation:

pls give me a brainly

Answer:

A.16.5 if that’s incorrect try b.33

Step-by-step explanation:

The formula is: A = B * H where B is the base, H is the height, and * means multiply.

it may be wrong I’m not sure but  30 * 11 is 330 divded by 2 is 16.5

What is the area of a rectangle that is 1/2 feet long and 2/3 feet wide?

Hint: Put the fraction into simplest form!

Question 1 options:

3/5


1/3


2/6

Answers

Answer:

1/3

Step-by-step explanation:

( 1/2) (2/3) = 2/6 = 1/3

Answer:

1/3

Step-by-step explanation:

I'm good at math, Sorta TnT

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