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elena55 [62]
3 years ago
12

1- Mr. Shull wants to burn 500 calories in one workout. HE figures out that he can surf or lift weights. For every hour of surfi

ng, Mr. Shull can burn 100 calories. For every hour of lifting weights, he can burn 75 calories. Mr. Shull wants to work out for a total of 6 hours. How many hours should he surf and lift weights to exactly meet his goals?
a- Carefully define your variables. What are x and y?

b-Write an equation representing the number of workout hours

c- Write an equation representing the number of calories burned.
Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

a. Let x = hours surfing and let y = hours lifting weights

b. x + y = 6

c. 100x + 75y = 500

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Find the width of the rectangular prism when the surface area is 208 square centimeters.
ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
7 0
3 years ago
Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures.
Anettt [7]

In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

4 0
3 years ago
=(1,2,3,4,5,6,7,8,9,10,11,12)
kati45 [8]

Answer:

2 and 4 is overlapping :)

Step-by-step explanation:

square numbers only those two

and even numbers=2,4,6,8,10,12

:)

8 0
3 years ago
Ellen flipped a coin 80 times. the coin landed heads up 44 times and tails up 36 times. what is the experimental probability of
Vaselesa [24]

Answer:

\frac{9}{20}

Step-by-step explanation:

experimental probability is the probability of an event occuring when we perform an experiment.

It goes according to the results of the experiment, not the theory behind it.

<u>Probability of landing tails up, therefore, is the number of times it came tails up divided by the total number of times the coin was flipped.</u>

<u />

Hence

P (tails) = 36/80 = 9/20

5 0
3 years ago
Read 2 more answers
Please help need asap
Arlecino [84]

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

<h3>What is the remainder of the division of the given polynomial?</h3>

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

Learn more about remainder theorem at: brainly.com/question/13328536

#SPJ1

8 0
1 year ago
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