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mariarad [96]
3 years ago
15

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

r number. Find the two numbers.
Mathematics
1 answer:
SashulF [63]3 years ago
8 0
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>

x - y = 15

2x + 8 = 3y - 4

We can quickly get a temporary value for x by altering the original equation.

x - y = 15

<em><u>Add y to both sides.</u></em>

x = 15 + y

Now that we have a value of x, we can find the exact value of y.

2(15 + y) + 8 = 3y - 4

<em><u>Distributive property.</u></em>

30 + 2y + 8 = 3y - 4

<em><u>Combine like terms.</u></em>

38 + 2y = 3y - 4

<em><u>Subtract 2y from both sides.</u></em>

38 = y - 4

<em><u>Add 4 to both sides.</u></em>

y = 42

Now that we know the exact value of y, we can plug it back into the original equation.

x - 42 = 15

<em><u>Add 42 to both sides.</u></em>

x = 57

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Math Help! 62 points for answer(s) Right answers only, and credible reasoning please.
Andrews [41]
Question #1, refers to the graph that appears on the left:

The graph is comprised of 4 segments.
All of the segments are linear.
Segment 'B' is the only one that's rising.

Question #2, also refers to the graph that appears on the left:

As discussed in the answer to Question #1,
interval-B is a segment that's linear and rising.

Question #3:

Keisha runs to Natasha's house, stays there for 15 minutes,
then ... with Natasha ... runs the rest of the way to swim practice.

If the story is graphed, the graph has 3 segments.  Since the slope
of each segment is Keisha's speed during that interval:
-- the middle segment will have no slope, while she sits motionless
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-- the 1st and 3rd segments will have positive slopes, while Keisha
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Choice A).  Terrible choice.  It says that at time=0, when Keisha begins
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as if she runs from there toward her house.  Not a good choice.

Choice B).  Somewhat better, but doesn't fit the story.  This graph
says that she starts from her house, runs at 3 different speeds
until she is 9 blocks away, then immediately turns around and
spends the next hour running back home.  Also not a good choice.

Choice C).  This is it.  If I had not read the story and just saw this graph,
I could see that Keisha started at her house, ran 5 blocks away from in
0.25 hour, stayed at that -place for the next 0.25 hour, then ran to some
place that was 9 blocks from her house in another 0.25 hour, and finally,
stayed there for the next hour.  That's all the information that appears on
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Choice D).  Now that we know we have a good graph in choice-C,
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This graph says that at time zero, Keisha is 5 blocks away from her
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Question #4.    Refers to the graph on the right side.     

This graph is comprised of 5 linear segments.  The slope of
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Now I'm ready to look at the choices.

OK.  I see that the question is only asking about segment-C.

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K got into the tub ... No.  The level isn't changing.
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