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denpristay [2]
2 years ago
11

Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed.

When Dirk finishes the race, Edith is $8$ km behind, and Foley is $12$ km behind. When Edith finishes the race, how far behind is Foley, in km
Mathematics
1 answer:
kompoz [17]2 years ago
4 0

Answer:

$12$ km

Step-by-step explanation:

IF THIS HELPED YOU PLS MARK ME BRAINLIEST I NEED IT

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On average the number of electric guitars sold in New York each year is 88,438, which is seven times the average number of elect
Taya2010 [7]

Answer:

South Dakota sells 12634 electric guitars p/yr.

Step-by-step explanation:

All you have to do is divide 88,438 by 7 because New York sells 7 times more. Divide that by 7 and you get 12,634

In Conclusion, your answer is that South Dakota sells 12634 electric guitars p/yr (per year) on average.

8 0
3 years ago
Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo
trapecia [35]

Answer:

<u>Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

<u>Kathy worked 11 hours at job A and 12 hours at job B.</u>

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

<u>The value of x = 11 is correct.</u>

Note. I provided the same answer to question 13954115.

3 0
3 years ago
you are running a fuel economy study. One of the cars you find is blue. It can travel 31 1/2 miles on 1 1/4 gallons of gasoline.
SIZIF [17.4K]

Answer:

Step-by-step explanation:

<u><em>Blue Car:</em></u>  (31 1/2 miles)/(1 1/4 gallons)

(63/2) miles / (5/4) gallons

(63/2)*(4/5) = <u>25.2 miles/gallon.</u>

<u><em>Red Car:</em></u>  (27 1/5 miles)/(4/5 gallon)

= <u>34 miles/gallon.</u>

The Red Car will travel the furthest.

7 0
3 years ago
A. Write an expression based on the given statement
Nadusha1986 [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
X^2+y^2+14x+10y=7 <br> center and radius
Sholpan [36]
(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-the\ coordinates\ of\ the\ center\\r-the\ radius\\\\==================================\\Use:(k+l)^2=k^2+2kl+l^2\ (*)\\==================================

x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2

Answer:\\\boxed{(-7;-5)-center;\ 9-radius}
8 0
3 years ago
Read 2 more answers
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