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Alex Ar [27]
3 years ago
5

The scale of a map is 1 inch: 250 miles. City A is 378 miles from City B. To the nearest tenth, how far is its distance on the m

ap? Show your work. Explain.
Mathematics
2 answers:
juin [17]3 years ago
6 0
This is a proportion question. We can express this as an equation where the answer is x:

\frac{1}{250} = \frac{x}{378}

From there, you can just cross-multiply and divide to get:

\frac{1 * 378}{250}

A tenth of 250 is 25, so this is roughly \frac{375}{250} or \frac{17}{10}, so it'll be approximately 1.7 inches on the map.
Allisa [31]3 years ago
3 0

Answer: Approx 1.5 inches

Step-by-step explanation:

Since, according to the question, The scale of a map is 1 inch: 250 miles.

Thus, 1 inches = 250 miles,

⇒1 miles= 1/250 inches.

⇒378 miles=378×1/250 inches.

⇒378 miles = 1.512 inches.

Therefore, If City A is 378 miles from City B.

Then, the distance between city A and B in inches = 1.512 inches ≈ 1.5 inches.


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5 tripled and another question is a number plus 14 equals to 9
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Answer:

5 tripled is 15, x=5

Step-by-step explanation:

14-9=5 which is the number you're looking for, and 3×5=15

3 0
3 years ago
The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
6 0
3 years ago
If U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2​
saw5 [17]

Answer:

r = 3 1/4

Step-by-step explanation:

Here, we want to find the value of r given the values

Firstly, we will write r as the subject of the formula

U = π ( r + h)

U/π = r + h

r = U/π - h

Now substitute;

U = 16 1/2 = 33/2

h = 2

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r = 33/2/22/7 - 2

r = (33/2 * 7/22) - 2

r = 21/4 - 2

r = (21-8)/4

r = 13/4 = 3 1/4

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