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Crazy boy [7]
3 years ago
5

The distance between Franklin City and Williamsville on a map is 3.2 inches. If the scale of the map is 1 inch = 15 miles, how m

any miles apart are the two cities?
Mathematics
1 answer:
Darina [25.2K]3 years ago
6 0

Answer: 48 miles

Step-by-step explanation:

From the question, the distance between Franklin City and Williamsville on a map is 3.2 inches and the scale of the map is 1 inch = 15 miles.

The distance between the cities will be to multiply 3.2 by 15 to get the number of miles since 1 inch = 15 miles. This will be:

= 3.2 × 15 miles.

= 48 miles

The distance between Franklin City and Williamsville is 48 miles.

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2. A student usually saves $20 per month. He would like to reach a goal of saving $350 in 12 months. The student writes the equa
Zigmanuir [339]

Answer:

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

Step-by-step explanation:

350 = 12(x + 20)

Multiply out brackets:  350 = 12x + 240

Subtract 240 from both sides:  110 = 12x

Divide both sides by 12:  9 1/6 = x

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

3 0
2 years ago
PLEASE HELP! I know the top part I just need the bottom!
Zolol [24]

slope  = (y2-y1)/(x2-x1)

        = (70-52)/(8-1)

    = 18/7

=2.6

point slope form

y-y1 = m(x-x1)

y-52 = 2.6(x-1)

distribute

y-52 = 2.6x-2.6

add 52 to each side

y = 2.6x+49.4

y = 2.6x +49


the initial temperature is 49.4 or about 49

and it increases about 2.6 degrees each week


7 0
3 years ago
What is ⅗ of 30? I need the answer for my homework ​
Vlad [161]

Answer:

18

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U?
kumpel [21]

Answer:

cos ∅ = 80/89

Step-by-step explanation:

As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .

Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.

The question requested us to find the ratio that represent the cosine of  ∠U.

The ∠U is represented as ∅ .

Therefore,

cos ∅ = adjacent/hypotenuse

adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.

hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.  

cos ∅ = adjacent/hypotenuse

cos ∅ = 80/89

5 0
3 years ago
Vertical angle of isoceles triangle is 50° while it's base angles are together 2x .find x
Ghella [55]

Answer:

The sum of all the angles of an isoceles triangle is 180°

So it's 50° + 2x° = 180°

50 + 2x = 180

2x = 180 - 50

2x = 130

x = 130/2

x = 65

7 0
3 years ago
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