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
Angelina_Jolie [31]
2 years ago
14

Find the unit rate: Carmen received a paycheck of $350 for 49 hours of work.

Mathematics
1 answer:
Nata [24]2 years ago
5 0

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

You might be interested in
Tracy has a picture of her mom a picture of her dad and a picture of her dog she has a black frame and a white frame. what is th
notsponge [240]
How many more frames does Tracy need?
5 0
3 years ago
Read 2 more answers
The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
3. Ken solved the linear equation 2(5y - 1) = 18 using the following steps.
OlgaM077 [116]

Answer:

A

Step-by-step explanation:

he actually made a mistake in second step. Step 2 should be: 10y-2=18 and then 10y=18+2

we get 10y=20 /:10

y = 2

7 0
3 years ago
Read 2 more answers
The perimeter of a square is 60 feet. Find the length of one side.
Luden [163]

Answer:

15 feet

Step-by-step explanation:

Perimeter = All outside lengths added together

We know that the shape is a square, and squares have 4 sides.

So, divide 60 by 4.

60 / 4 = 15.

The length of one side is 15 feet.

7 0
2 years ago
Read 2 more answers
Cynthia conducted an experiment with a spinner that contained only 4 sectors:f,g,h,and j. She spun the arrow 40 times and record
rosijanka [135]
40 total spins

it landed on H 15 times which equals 15/40

15/40 reduces to 3/8

 the answer is C 3/8

3 0
3 years ago
Other questions:
  • Find a - 2b + 3c diminished by a - 2b - 3c + d.
    12·2 answers
  • The diameter of your new bicycle wheel is 22 inches. What is the radius of the bicycle wheel?
    10·1 answer
  • Help please need it for today
    6·1 answer
  • What is the value of ▲ in the equation shown?<br><br> 7 x 9 = (7 x 10) - (7 x ▲)<br><br> =_____
    13·1 answer
  • Percent of change: from 60 to 64
    15·1 answer
  • You have two rectangular prisms (Prism A and Prism B). Prism A has the following dimensions: length x, width y, and height z. Pr
    12·1 answer
  • An event center charges a flat $65 fee
    5·1 answer
  • Which of the following is the same as 8.4x10²
    15·2 answers
  • My question is in the picture
    9·1 answer
  • 1/5 of 45 is what number?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!