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Rom4ik [11]
3 years ago
15

On a map, 3/4 inch represents 14 miles. If two cities are 42 miles apart, how far apart are they on the map?

Mathematics
2 answers:
Katena32 [7]3 years ago
6 0

Answer:

9/4

Step-by-step explanation:

14 times 3 = 42

3/4 times 3 = 2.25

2.25 in fraction form is 9/4

jekas [21]3 years ago
3 0

Answer:

9/4 inches

Step-by-step explanation:

42 is 3x more than 14. therefore, what is 3x more than 3/4 is 9/4

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10 ) (+62) + (+20) + ( -51) =
Vsevolod [243]

Answer: 31

Step-by-step explanation: 62 + 20 - 51 in other words 82 + (-51) or 82 - 51 = 31

6 0
4 years ago
The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, durin
grigory [225]

Answer:

5\ \frac{miles}{hour}

Step-by-step explanation:

<u><em>The complete question is</em></u>

The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?

Time Elapsed (Hours) Miles Traveled (Miles)

0.50 2.00

0.75 3.50

1.00 4.75

Let

x ----> the time in hours

f(x) ----> the distance traveled in miles

so

we have

x (Hours)   0.50   0.75  1.00

f(x) (Miles)  2.00   3.50  4.75

we know that

To find the average speed, we divide the change in the output value by the change in the input value

the average speed is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=0.75

b=1.00

f(a)=f(0.75)=3.50  

f(b)=f(1.00)=4.75

Substitute

\frac{4.75-3.50}{1-0.75}

\frac{1.25}{0.25}

5\ \frac{miles}{hour}

8 0
3 years ago
Read 2 more answers
Solve each system by elimination by multiplying both equations. Eliminate "y" first. Show all work.
Damm [24]
We have the 2 equations
1- ) 5x-8y=6
2-) -6x-3y=18
multiplying the first equation by 3 and the second equation by 8 then subtracting
1-) 15x-24y=18
2-) -48x-24y=144

-48x-24y=144
(-) 15x-24y=18
-------------------------------------
-63x = 126
x=-2
substituting in equation 1
5(-2)-8y=6
-10-8y=6
-8y=16
y=-2
the soultion is (-2,-2)




8 0
3 years ago
9.<br> Write an<br> equation perpendicular to y = 2x + 6<br> that passes through the point (8,4).
Sidana [21]

Answer:

y=-1/2x+8

Step-by-step explanation:

Perpendicular of y=2x+6 is y=-1/2x

Substitute coordinates

4=-1/2(8)+8

y=-1/2x+8

8 0
3 years ago
Rewrite the following without an exponent.
Mama L [17]

Answer:

5/6

Step-by-step explanation:

You just need to turn the denominator and numerator's positions upside down.

4 0
3 years ago
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