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I am Lyosha [343]
2 years ago
13

Zahir completes 1/5 of his homework in 5/15 of an hour. How much time will

Mathematics
1 answer:
kogti [31]2 years ago
6 0

Answer:

t = 100 minutes, or 1 hr, 40 minutes

Step-by-step explanation:

5/15 of 1 hour is the same as 5/15 of 60 minutes, which is 20 minutes

you can set up a proportion of hw completed / minutes = hw completed / min:

(1/5 ÷ 20) = (1 ÷ t)    we use '1' to indicate all homework (or 100% of hw) and 't' to indicate time required

cross-multiply to get:

20 = 5/t

t = 100 minutes, or 1 hr, 40 minutes

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Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance fr
kramer

Answer:

Option A.

Step-by-step explanation:

Based on the information provided on the question

the function used to model Tony's run is:

f(x) = -250*x  + 5000

This means that after x = 20 minutes, Tony will arrive to the finish line

f(20) = -250*(20)  + 5000 = -5000 + 5000 = 0

The function is always decreasing, because we are dealing with a line with negative slope.

Option A.

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Answer:

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3 years ago
Which facts could be applied to simplify this expression? Check all that apply.
kykrilka [37]

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

Hope this helps!

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3 years ago
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Which multiplication expression can be used to check this division problem:
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Answer:

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Step-by-step explanation:

for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.

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3 years ago
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What is the lateral area of the prism? Assume the figure is resting on its base.
dolphi86 [110]
Check the picture below.

the lateral area, namely the area of the sides, as you see in the picture, is really just the area of 6 rectangles.

front and back, two rectangles of 5x25,

left and right, two rectangles of 2x25.

simply get the area of each and sum them up, that's the lateral area of the prism.

\bf \stackrel{\textit{front and back}}{2(5\cdot 25)}~~~~+~~~~\stackrel{\textit{left and right}}{2(2\cdot 25)}

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