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Nuetrik [128]
3 years ago
5

The scale on a map is 1 in: 55 miles. What is the distance on the map between two cities that are 99 miles apart?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
4 0

Answer:

1.8 inches

Step-by-step explanation:

Create a proportion where x is the distance on the map

\frac{1}{55} = \frac{x}{99\\}

Cross multiply and solve for x

55x = 99

x = 1.8

So, the distance on the map is 1.8 inches

Katen [24]3 years ago
4 0

Answer:

1.8 inches

Step-by-step explanation:

Scales on a map <u>always</u> <u>represent</u> the direct <u>proportion</u>.

<u>Compare</u> the <u>distances</u> as fractions:

Inches on the map

________________  =  \frac{1}{55} = \frac{x}{99}

Miles on the ground

x = \frac{1x99}{55}

x = \frac{99}{55}

x = \frac{9}{5} = 1\frac{4}{5}

x = 1.8 inches

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Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40
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1st week       10                   5
2nd week      20                  10 
3rd week       30                  20
4th week       40                  40
<span>
A) Amanda's method is linear because the number of minutes increased by an equal number every week.</span>
common difference is 10.
1st week      0 + 10 = 10
2nd week   10 + 10 = 20
3rd week    20 + 10 = 30
4th week    30 + 10 = 40

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5(2)^x

1st week   5(2⁰) = 5(1) = 5
2nd week  5(2¹) = 5(2) = 10
3rd week   5(2²) = 5(4) = 20
4th week   5(2³) = 5(8) = 40
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