1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andreyy89
3 years ago
6

Olga worked 37.5 hours last week at the library and earned 12.50 an hour.if she gets a 2.50 per hour raise,how many hours will s

he have to work to make the same amount of money as she did last week?
Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Olga worked 37.5 hours last week and earned $12.50 an hour.

[ h = the number of hours              y = total earnings ]

12.50h = y

12.50(37.5) = y

468.75 = y

She earned $468.75 last week


If she gets a $2.50 per hour raise:

12.50 + 2.50 = 15.00

She gets $15 per hour.

How many hours will she have to work to make $468.75?


15h = 468.75        Divide 15 on both sides to get "h" by itself

h = 31.25


She needs to work 31.25 hours

You might be interested in
Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach
marta [7]
Apples = $.30
Peaches = $.60

You can get this by setting up a system of equations that looks like this. 

2x + 3y = 1.65
3x + 2y = 1.60

Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease). 
7 0
3 years ago
A line that contains the point (-8,-1) and is perpendicular to -15x +3y = 9
zaharov [31]
Put the other line in point slope form...(solve for y :D )

3y=15x+9

y=5x+3, so this line has a slope of 5

For a line to be perpendicular to another the slopes have to be negative reciprocals of each other...mathematically...

s1*s2=-1

So for the other line to be perpendicular to the first:

5m=-1, m=-1/5, thus our other line (so far) is:

y=b-x/5, now we can use the point (-8,-1) to solve for the y-intercept, "b":

-1=b-(-8)/5

-1=b+8/5

-1=b+1.6

b=-2.6

So the perpendicular line that contains the point (-8,-1) is:

y=-0.2x-2.6
7 0
2 years ago
Find C.
nasty-shy [4]

Answer:

C=69.1^{\circ}

Step-by-step explanation:

The Law of Cosines is given as:

c^2=a^2+b^2-2ab\cos C.

Plugging in given values, we get:

16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}.

3 0
2 years ago
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
Sandra wants to wrap a gift box 6 inches in length, 4 inches in height, and 13 inches in width. How much wrapping paper does San
Murrr4er [49]

Answer:312

Step-by-step explanation: multiply 6*4*13

8 0
1 year ago
Other questions:
  • The product in simplest form 5/9 x 3/4
    8·1 answer
  • Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet
    5·1 answer
  • How do you graph y=7
    9·2 answers
  • Complete the statements about the cone,
    9·2 answers
  • The truck’s tank is a stainless steel cylinder. Find the surface area of the tank. Round your answer to the nearest hundredth.
    8·1 answer
  • PLEASE NEED HELP ASAP ​
    13·2 answers
  • Ava has 80 pictures to put in her photo album . She can fit 4 photos on each page of the album . If the album has 15 pages , doe
    9·1 answer
  • Students receive an award for scores at or above the upper quartile. What is the lowest score a student can get to receive an
    5·2 answers
  • 1.35 divided by 3.8 repeating
    14·1 answer
  • 100 POINTS!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!