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pav-90 [236]
3 years ago
10

Nando is on a rehabilitation program following a car accident. For the first month, he needs to exercise at most five hours per

week and must burn at least 2,000 calories per week. The exercise he is allowed to
do is brisk walking which burns about 350 calories per hour and biking at a moderate pace which burns
about 700 calories per hour. Which graph best represents the set of all points that satisfy the system
representing Nando's exercise options?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Let x be the number of hours per week Nando is brisk walking  and y be the number of hours per week Nando is  biking at a moderate pace.

For the first month, he needs to exercise at most five hours per week, then

x+y\le 5

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.

Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.

Nando must burn at least 2,000 calories per week, so

350x+700y\ge 2,000

You get the system of two inequalities:

\left\{\begin{array}{l}x+y\le 5\\ 350x+700y\ge 2,000\end{array}\right.

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.

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Harlamova29_29 [7]

Answer:

A= 14 B=17 C=20 D=26

Step-by-step explanation:

Not 100% sure this is what you needed but this is my try.

6 0
3 years ago
Alejandra plans to sew fringe on a scarf. The scarf is shaped rectangle. The length of the scarf is 48 inches. The width is one
aleksandr82 [10.1K]
Ok so you will be finding the perimeter of this rectangle. The formula is P(perimeter)=2L(length) + 2W(width)

so the length is 48 and the width is 1/2 of 48, and we all know that 1/2 of 48 = 24 right? so in the formula is says 2L so we will take 48 and multiply it by 2 and get 96. The same way with the width. 24 times 2 = 48 so then we add them together and get 144. Therefore the perimeter and the length of fringe that she will use (or how ever you say it) will be 144 inches.

Hope this helps!;)
5 0
3 years ago
What is the minimum number of feet you should be to avoid being electrocuted by overhead power lines up to 50kV? A. 10 feet B. 1
Andrei [34K]

Answer:

I believe the answer is A 10 feet

Step-by-step explanation:


4 0
3 years ago
The volume of the cell phone is 75 cubic centimeters. Write and solve an equation to find the height of the cell phone. Round yo
prohojiy [21]

Answer:

Equation: Height = \frac{75}{Area}

Step-by-step explanation:

<em>The question is incomplete as the dimension of the phone was not given.</em>

<em>However, the following explanation will guide you</em>

Given

Volume = 75\ in^3

Required

Determine the Height

Volume is calculated as thus;

Volume = Area * Height

Substitute 75 for Volume

75= Area * Height

Divide through by Area

Height = \frac{75}{Area}

<em>The above represent the equation to solve for Height</em>

<em>To solve for height, we need the dimension of the phone or the area.</em>

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

Height = \frac{75}{5 * 5}

Height = \frac{75}{25}

Height = 3\ inches

5 0
3 years ago
Please someone explain how to solve this piecewise function!!!! Im super confused
Xelga [282]

Answer:

From top to bottom:

0, 1, 2, -8, -8

Step-by-step explanation:

We are given the piecewise function:

g(x) = \left\{        \begin{array}{ll}            0.5x+1 & \text{if } x \leq 2 \\            -8 & \text{if } x > 2        \end{array}    \right.

Row 1:

We want to find g(-2).

Since -2 is less than (or equal to) 2, we will use the first equation. Thus:

g(-2)=0.5(-2)+1=-1+1=0

Row 2:

Likewise, 0 is less than or equal to 2. We will continue to use the first equation:

g(0)=0.5(0)+1=1

Row 3:

2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:

g(2)=0.5(2)+1=1+1=2

Row 4 and 5:

Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:

g(4)=-8\text{ and } g(6)=-8

7 0
3 years ago
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