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Yanka [14]
1 year ago
7

a jogger begins her workout by jogging to a park, a distance of 12 miles. she then jogs home at the same speed, but along a diff

erent route. this return trip is 18 miles, and her time is one hour longer. find her jogging speed.
Mathematics
1 answer:
sukhopar [10]1 year ago
5 0

The jogging speed of the jogger is 6 miles/hour.

Given that:-

Distance from home to park = 12 miles

Distance from park tp home from a different route = 18 miles

It is also given that the time taken to reach home from park is 1 hour longer than the number of hours taken to reach park from home.

We have to find the speed of the jogger.

Let the time taken by jogger to reach park from home be t hours.

Hence, according to the data given in the question,

Time taken by jogger to reach home from park is (t+2) hours.

We know that,

Speed = distance/time

We know that the speed of jogger in each route is same.

Hence, we can write,

12/t = 18/(t+1)

2/t = 3/(t+1)

2(t+1) = 3t

2t+2 = 3t

t = 2 hours.

Hence, speed of the jogger = 12/2 = 6 = 18/(2+1) = 18/3.

To learn more about speed, here:-

brainly.com/question/28224010

#SPJ4

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the vertex of parabola is (-2,-3).when the y-value is -2 , the x-value is -5. what is the coefficient of the squared expression
Fantom [35]

The coefficient of the squared expression is 1/9

<h3>How to determine the coefficient of the squared expression?</h3>

A parabola is represented as:

y = a(x - h)^2 + k

Where:

Vertex = (h,k)

From the question, we have:

(h,k) = (-2,-3)

(x,y) = (-5,-2)

So, the equation becomes

-2 = a(-5 + 2)^2 - 3

Add 3 to both sides

1 = a(-5 + 2)^2

Evaluate the sum

1 = a(-3)^2

This gives

1 = 9a

Divide both sides by 9

a = 1/9

Hence, the coefficient of the squared expression is 1/9

Read more about parabolas at:

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7 0
2 years ago
It takes 1.5 hours for john to mow the lawn. linda can mow the same lawn in 2 hours. how long will it take john and linda, worki
levacccp [35]
You find the average which is 1.5 + 2 divided by 2 
or you can convert them to minutes
5 0
3 years ago
Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of y
laila [671]

Answer:

4

Step-by-step explanation:

Proportionality between skein values

8:2=4:1

Proportionality between cost values

28:7=4:1

The variation(both the skein values and cost values) has the constant of 4 ie the 1st skein value × 4= the last skein value & the 1st cost value × 4=the last cost value

7 0
2 years ago
Dominic makes and sells salsa. The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa. His re
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Answer:the function representing profit, P = 3n + 200

Step-by-step explanation:

The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa.

The revenue, or the amount he receives for selling n jars, can be represented by the function R = 5n.

Profit = revenue - cost or expenses.

Therefore,

The function representing Dominic's profit, P, for selling n jars of salsa will be

P = 5n - 2n + 200 = 3n + 200

8 0
3 years ago
Read 2 more answers
What is the answer for 4x+y=0
leva [86]
Y=-4x because all you have to do is move the variable to the right by adding its opposite to both sides. So 4x+y-4x=0-4x. Then eliminate the opposites y=0-4x

Your welcome
7 0
3 years ago
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