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lana66690 [7]
3 years ago
12

The scale of a map is 1 inch : 9.5 miles.

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0

Answer:

  • 2.526 in
  • 4.211 in

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

__

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

__

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

_____

Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

__

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

  map inches/ground miles = 1/9.5 = x/24

  route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

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Plz helppp I’m not so smart:)
olya-2409 [2.1K]

Step-by-step explanation:

I think you will get x this way:

x=180°-140°

x=40°

6 0
3 years ago
Read 2 more answers
1st to answer will get Brainliest 
storchak [24]
Find current interest:
=$2543.32 * 17.4%
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Add new transaction:
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=3305.857 rounded to 3305.86

The answer is C) $3305.86

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4 0
3 years ago
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What is the length of a side cube with a volume of 729m3
shusha [124]
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6 0
4 years ago
Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for pie. Enter your answers rounded to the nearest hun
Alchen [17]

Given:

For cylinder P: radius = 4.25 in. and height = 14 in.

For cylinder Q: radius = 7 in. and height = 8.5 in.

To find:

The volume of each cylinder.

Solution:

Volume of a cylinder is

V=\pi r^2h

where, r is radius and h is height. Use 3.14 for \pi.

Using the above formula, the volume of cylinder P is

V_P=(3.14)(4.25)^2(14)

V_P=794.0275

V_P\approx 794.03

Using the above formula, the volume of cylinder Q is

V_Q=(3.14)(7)^2(8.5)

V_Q=1307.81

Therefore, the volume of cylinder P is 794.03 sq. in. and volume of cylinder Q is 1307 sq. in.

7 0
3 years ago
PLEASEPLEASE ANSWER
IRINA_888 [86]

Answer:

x = 7

Step-by-step explanation:

A triangle's total interior angle measurement will equal 180°.

Set all measurements equal to 180:

(82) + (9x - 6) + (6x - 1) = 180

Simplify. Combine like terms:

(82 - 6 - 1) + (9x + 6x) = 180

(82 - 7) + (15x) = 180

(75) + 15x = 180

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, Subtract 75 from both sides of the equation:

15x + 75 = 180

15x + 75 (-75) = 180 (-75)

15x = 180 - 75

15x = 105

Next, divide 15 from both sides of the equation:

(15x)/15 = (105)/15

x = 105/15

x = 7

7 is your value for x.

~

3 0
3 years ago
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