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denis23 [38]
2 years ago
7

Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,

Mathematics
1 answer:
kicyunya [14]2 years ago
7 0

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

  • AC = CB
  • AC = \frac{AB}{2}
  • CB = \frac{AB}{2}

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

AC = CB

The distance of the midpoint to one of the endpoints is half the total distance, that is:

AC = \frac{AB}{2}

CB = \frac{AB}{2}

Solution:

We have to solve for x, considering one of the three relations.

Considering:

AC = 4x, CB = 12 + x

AC = CB

4x = 12 + x

4x - x = 12

3x = 12

x = \frac{12}{3}

x = 4

The solution for x is x = 4 miles.

A similar question is found at brainly.com/question/24114584

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Answer:

width=18cm

Step-by-step explanation:

perimeter= 2(l+b)

90=2(27+b)

90/2=27+b

45-27=b

b=18cm

8 0
3 years ago
30 points for whoever gets it right! !!
kramer
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GCF of 18 and 22 is 2
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3 years ago
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Step-by-step explanation:

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A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
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