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weqwewe [10]
3 years ago
9

It takes Joaquin 1/5 hour to hike 1/4 mile. What is Joaquin's unit rate, in miles per hour?

Mathematics
1 answer:
Artemon [7]3 years ago
3 0
(1/5) / (1/4) = x/1
cross multiply
1/4x = 1/5
x = 1/5 * 4
x = 4/5....he hikes 4/5 of a mile per hr
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Help pls and tysm because I'm not strong in this area. ​
serious [3.7K]
Alright, first thing's first, simplify the equation as much as you can. If you wanted, I suppose you could just multiply everything by 40, but that's super unconventional.

7x/8 - 3x/8 = 1/5 + 3/10

Simplify:
4x/8 = 1/5 + 3/10

Make sure that when subtracting or adding fractions that the denominators (The number on the bottom of the fraction) are equal.

In order to add 1/5 and 3/10 together, all we have to do is ensure that both denominators are equal.

To do this, simply multiply 1/5 by 2/2. The new fraction will be 2/10 (You can do this since it's the exact same fraction, 2/10 will simplify down to 1/5. The reason we did this was to make sure that the two fractions had equal denominators).

Our equation now looks like this:
4x/8 = 2/10 + 3/10

Add the fractions on the right:
4x/8 = 5/10

Huh, whaddya know? Both the fraction on the left and the right can be simplified into 1/2! (4/8 becomes 1/2, and 5/10 becomes 1/2)

1x/2 = 1/2
x/2 = 1/2

If you want to, I suppose you could cross multiply to check, but the answer's already pretty obvious.

x = 1

Good luck! If you need me to explain anything I did here, just ask :))
-T.B.
5 0
3 years ago
James swam 3 and 1/3 miles. For 2/6 of his swim he did the backstroke. How many miles did he swim the backstroke?
aksik [14]

Answer:i believe thats only a third of a mile


Step-by-step explanation:

if you have the both take on the same denominator the 3 miles would be 3/3 and then it would be 6/6 and the 1/3 mile would become 2/6 hope i helped

5 0
3 years ago
Read 2 more answers
Indira is climbing and starts at 182.5 meters above sea level each hour she descends 36.5 meters the table shows the function re
VLD [36.1K]

The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5

A linear equation is given by:

y = mx + b;

where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.

Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.

She starts at 182.5 meters above sea level, hence; b = 182.5 meters

She descends 36.5 meters each hour, hence m = -36.5 meter per hour

Therefore the equation becomes:

y = -36.5x + 182.5

Find out more at: brainly.com/question/19586594

5 0
2 years ago
What is LCM of 2 4 8​
slavikrds [6]

Answer:

the LCM would be 8 based on the following set of multiples: Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...

Step-by-step explanation:

3 0
3 years ago
-1/5x=6 can some one help me
Montano1993 [528]
The answer you want is x = -30
7 0
3 years ago
Read 2 more answers
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