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navik [9.2K]
3 years ago
15

at the cafe, Rebecca can choose to earn $10 per hour plus a $60 starting bonus or earn $12 per hour with no starting bonus. afte

r how many hours of work will she earn the same amount of both payment options? write an equation to solve the problem. solve.
Mathematics
1 answer:
qwelly [4]3 years ago
8 0
Hi there! The answer is 30 hours.

Let the number of worked hours be represented by X.

The total earn of option 1, would then be 10X + 60
The total earn of option 2, would then be 12X

We end up with the following equation:
10x + 60 = 12x
Subtract 10X from both sides.

60 = 2x
Divide both sides by 2.

x = 30
Therefore, after 30 hours of work Rebecca will earn the same amount of money.
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You are shot out of a cannon at the fair. The equation y=-1/5(x+2) (x-28) models your flight path, where y is the height above t
Alenkasestr [34]

Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?

a) You reach a maximum height of 45 feet,

b) You will land 11.2 feet from the cannon,

c) The barrel of the cannon is about 11 feet above the ground.

d)At a point 13 feet from the cannon, you begin to descend.

A: When y = 0, x = 28

y’ = 0 at x = 13 where Y is max = 15^2 / 5 = 45

Hence a is true, b is false, c is false, d is false .

4 0
3 years ago
A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar
Oksanka [162]
The area of the base is:
 A = root ((s-a) * (s-b) * (s-c) * (s))
 Where,
 a, b, c: sides of the triangle
 s = (a + b + c) / 2
 We have then:
 s = (9 + 9 + 9) / 2
 s = 13.5
 A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
 A = 35.07
 Then, the surface area of the prism is:
 S.A = 2 * A + 9h + 9h + 9h
 Where,
 h: height of the prism:
 Substituting values:
 421.2 = 2 * (35.07) + 9h + 9h + 9h
 Clearing h:
 27h = (421.2 - 2 * (35.07))
 h = (421.2 - 2 * (35.07)) / (27)
 h = 13
 Answer:
 
the height of the box is:
 
h = 13 inches
8 0
3 years ago
Select the graph that represents the correct answer to the equation. <br> 5y = 3x - 5
Ivanshal [37]

Here is the graph, you can match it yourself:

4 0
1 year ago
What are some strategies you could use to find a relationship between x and y?
tia_tia [17]

Answer:

The statistical relationship between two variables is referred to as their correlation. A correlation could be positive, meaning both variables move in the same direction, or negative, meaning that when one variable's value increases, the other variables' values decrease.

Step-by-step explanation:

4 0
2 years ago
Angle θ is in standard position. if sin(θ) = − 1 3 , and π &lt; θ &lt; 3π 2 , find cos(θ).
kramer

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

<h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47

Then add 180 degrees, then we have

\theta = -19.47 + 180\\\\\theta = 160.52

Then the value of the cosine will be

\cos 160.52^o=-0.9428

More about the trigonometry link is given below.

brainly.com/question/22698523

7 0
2 years ago
Read 2 more answers
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