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BigorU [14]
3 years ago
8

a man covers a distance of 15kn, in 3 hours partly by walking and partly by running. if he walks at 3km/h and runs at 9km/h, fin

d the distance he covers by running
Mathematics
1 answer:
irinina [24]3 years ago
5 0
Speed = distance/time
distance = speed * time

let x = time covered by running
15 = run distance + walk distance
15 = 9(x) + 3(3-x)
15 = 9x + 9 - 3x
15 - 9 = 6x
6 = 6x
x = 1 hour

Therefore:
Running distance = speed * time
RD = 9km/hr * 1 hr
RD = 9km

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VMariaS [17]

Answer: 54-7n

Step-by-step explanation:

When we talk about mathematical language, the <u>difference </u>between two numbers, quantities or terms is the <u>substraction operation.</u>

For example, the <u>difference</u> between a and b is:

a-b

On the other hand, if we read a numer c <u>times</u> a number n, this means both numbers are multiplied.

For example:

c <u>times</u> n is:

(c)(n)

So, according to the explained above, “the difference of fifty-four and seven times a number n” is:

54-7n

8 0
3 years ago
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5 0
3 years ago
8xy= 2(2x + y) solve for y
STatiana [176]

Answer:  \displaystyle y= \frac{2\text{x}}{4\text{x} - 1}

============================================

Work Shown:

8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\

---------------

Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

5 0
2 years ago
Solve 0.25[2.5x + 1.5(x – 4)] = –x.
zheka24 [161]

Answer:

X = 0.75

Step-by-step explanation:

0.25[2.5x + 1.5(X-4)]= -X

0.25[2.5x + 1.5x - 6] = -x

0.25[4x -6] = -x

1x + x = 1.5

2x = 1.5

x = 1.5/2

x = 0.75

8 0
3 years ago
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