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Andrei [34K]
3 years ago
11

The legend on a map states that 1

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer:

Actual  = 480\ miles

Step-by-step explanation:

Given

Map : Actual = 1\ in: 80\ miles

Required

Find actual distance when map distance = 6 inches

Substitute 6 for Map in Map : Actual = 1\ in: 80\ miles

6\ in: Actual = 1\ in: 80\ miles

Express as fractions

\frac{6\ in}{Actual} = \frac{1\ in}{80\ miles}

\frac{6}{Actual} = \frac{1}{80\ miles}

Cross Multiply

Actual * 1 = 6 * 80\ miles

Actual  = 6 * 80\ miles

Actual  = 480\ miles

<em>Hence, the actual distance is 480 miles</em>

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The Harrison family paid $14,400 in rent last year. The landlord has decided to raise rent 2.5% each year. How much will the Har
skelet666 [1.2K]

Answer: $16,200

Step-by-step explanation:

14,400 rent.

Raise of 2.5% (0.025)/year.

5 years.

Take the rent (14,400) and add 2.5% (0.025) of it (14400) for five (5) years.

14400+0.025(14400)(5)

14400+1800\\=16200

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2 years ago
A Nike jacket has a regular price of $64. You have a coupon for 15% off.
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Step-by-step explanation:

54.4 dollars

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3 years ago
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Use the differential equation given by dy/dx=xy/3, y&gt;0<br><br> complete the table of values
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The \dfrac{\mathrm dy}{\mathrm dx} row is filled by just plugging in the corresponding values of x and y into the ODE.

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6 0
3 years ago
Given f(x) = 4(x - 8), determine the value of f(10).
Ilya [14]

Answer:

f(10) = 8

Step-by-step explanation:

f(x) = 4(x - 8)

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f(10) = 4 ( 10-8)

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3 years ago
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a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
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Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

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cos 45 = \frac{x}{20} ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

z^{2} = y^{2} + (40+x)^{2}

    = 14.14^{2} + (40+14.14)^{2}

     = 3131.08

z^{2} = \sqrt{3131.08}

z = 55.96 miles

6 0
3 years ago
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