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diamong [38]
2 years ago
7

Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill 30

minutes more than he does freehand exercises. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jacob does freehand exercises (y) and the number of minutes he runs on the treadmill (x). (5 points) Part B: How much time does Jacob spend on doing freehand exercises? (3 points) Part C: Is it possible for Jacob to have spent 40 minutes running on the treadmill? Explain your reasoning.
Mathematics
1 answer:
elixir [45]2 years ago
8 0

Answer:

a.

x + y = 60

x = y + 30

b.

substitution:

(y + 30) = y = 60

2y + 30 = 60

2y = 30

y = 15

15 minutes for freehand

c.

No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.

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The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC: A quadrilateral
il63 [147K]
The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice. 
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A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would
nadya68 [22]
Weight is the mass of the object * the acceleration due to gravity, so if the gravity changes the weight changes.
Thus, you want to put the situational data on their own, so the ratios you want to set up is:
\frac{M \ weight1}{M \ weight2} = \frac{E \ weight1}{E \ weight2}\\
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32*x=200lb*15lb\\
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2 years ago
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Greatest common factor of 12, 60, and 68
Katyanochek1 [597]
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12: 2, 2, 3
60: 2, 2, 3 5
68: 2,2,17

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GCF: 2, 2

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5 0
2 years ago
The demand function for a type of portable radio is given by the model d=85−6x2, where d is measured in dollars and x is measure
Lostsunrise [7]

Answer:

Part A : The required Profit equation : \text{Profit}= 60x-6x^3

Part B : 0.303 million radios the profit became 18 million.

Part C : The graph is attached below.

Step-by-step explanation:

Given : The demand function for a type of portable radio is given by the model d=85-6x^2, where d is measured in dollars and x is measured in millions of units. The production cost is $25.00 per radio.  

Note: Given that profit = revenue - costs

Revenue is demand times number sold.

Costs are productions costs per number sold.

To find :

Part A: Write an equation giving profit as a function of x million radios sold.

Solution : Let x be the number of radios.

Revenue is demand times number sold

\text{Revenue}= x\times (85-6x^2)

\text{Revenue}= 85x-6x^3

Let the cost of x number of radios is 25x.            

Profit = Revenue - Costs

\text{Profit}= 85x-6x^3-25x

P(x)= 60x-6x^3

The required Profit equation : P(x)= 60x-6x^3

 

Part B : The company currently produces 3 million radios and makes a profit of $18,000,000, but would like to scale back production. What lesser number of radios could the company produce to yield the same profit?

Solution :  It is shown graphically which is attached in part c

When we scale back production we get that,

When we sold 0.303 million radios the profit became 18 million.

Part C : Give a graph for the profit and label the parts of the graph.

The graph is attached below which shows the profitable radios points.

3 0
2 years ago
Aisha owns an apparel store. She bought some shirts and jeans from a wholesaler for $3,900. Each shirt cost $12 and each pair of
Lilit [14]
For this case we can define the following variables:
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 y: jeans
 We write the following system of equations:
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 Note: see attached image for the solution of the system:
 Answer:
 she bougth from the wholesalers
 150 shirts
 75 jeans

5 0
2 years ago
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