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dexar [7]
3 years ago
7

The legend on a map reads 1.25 inches represents 500 miles. If the measurement on the map between two locations is 3 inches, how

far apart are they? Show your work.
Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer:

These two locations are 1200 miles apart.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

We have that:

1.25 inches represents 500 miles. 3 inches will represent x miles. So

1.25 inches - 500 miles

3 inches - x miles

Applying cross multiplication:

1.25x = 500*3

1.25x = 1500

x = \frac{1500}{1.25}

x = 1200

These two locations are 1200 miles apart.

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Tcecarenko [31]
A, 25.376. This rounded to the nearest hundredth would be 25.38 not 25.37.
4 0
3 years ago
Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes di
quester [9]

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

8 0
3 years ago
3x+3y+2(2x-y) equivalent fractions to this problem
Anastaziya [24]
Distribute the 2 into the 2x and -y

Then add “like terms” which are 3x and 4x... 3y and -2y

Which then becomes 7x+y

There are no more “like terms” so that is your final answer

6 0
3 years ago
Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s
Natasha2012 [34]
Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30
5 0
3 years ago
Read 2 more answers
Please help w/ #18 (10 points)
patriot [66]
Answer: y=-(1/8)x+(21/2)


Explanation:

The new equation’s slope needs to be perpendicular to y=8x-1

To get the new slope, we take the negative reciprocal of the slope from above

8 —> -1/8

Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.

Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:

y=-(1/8)x+b
10=-(1/8)4+b
10=(-1/2)+b
b=(21/2)

Now put b back into the new equation

y=-(1/8)x+b

y=-(1/8)x+(21/2)






6 0
2 years ago
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