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Arte-miy333 [17]
3 years ago
13

If a 25 ft rope is cut into two sections with one section 4 times as long as the other section, how long is the shorter piece?

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0
We are given the ratio
Long : short = 4:1
and the sum
Long+short=25
=>
long = 25*(long/(long+short)=25*(4/(4+1))=20
Short =25*(short/(long+short)=25*(1/4+1)=5
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Step-by-step explanation:

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Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

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3 years ago
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8 0
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Which graph represents the equation -5x+4y>-1?
galben [10]
<h3>Answer: Choice D</h3>

======================================================

Explanation:

The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.

A solid boundary line means that points on the boundary are part of the solution set.

Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

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This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.

The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.

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