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Artyom0805 [142]
3 years ago
10

Two joggers, one averaging 7 mph and one averaging 6 mph, start from a designated initial point. The slower jogger arrives at th

e end of the run 20 minutes after the other jogger. find the distance of the run.
Mathematics
1 answer:
baherus [9]3 years ago
8 0
The distance is 14 miles; the first jogger finishes in two hours, while the slower jogger is still 12 miles in. The slower jogger then reaches the end of 14 miles twenty minutes later, because 6mph also means 2 miles per twenty minutes.
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Find the value of x when : 2^30/8^9=2^x
artcher [175]

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

3 0
3 years ago
Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it wou
kicyunya [14]
3.4 hours. The efficiency of a worker is the amount of work divided by time needed. The efficiency of Sanjay alone is 500/6, and the efficiency of Felipe alone is 500/8. When they work together, their combined efficiency is 500/6+500/8=3500/24. Therefore, they need 500/(3500/24)=24/7=3.4 hours.
7 0
3 years ago
Read 2 more answers
A person is chosen at random. What is the probability that they passed the driving test?
Cerrena [4.2K]
<h3>Answer:  4/5</h3>

Explanation:

We have 24 adults who passed and 16 teens who passed. So 24+16 = 40 people passed total.

There are 24+8+16+2 = 50 people total

If you pick someone at random, the probability of them passing is 40/50 = 4/5.

In decimal form, this is 4/5 = 0.80 which converts to 80%

7 0
3 years ago
What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8,2), and (5,-2)?
Llana [10]

Answer:

The area of the parallelogram is 20 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- The vertices of the parallelogram are (0 , -2) , (3 , 2) , (8 , 2) , (5 , -2)

- The side joining the points (0 , -2) and (5 , -2) is a horizontal side

  because the points have same y-coordinates

- The side joining the points (3 , 2) and (8 , 2) is a horizontal side

  because the points have same y-coordinates

∴ These two sides are parallel bases of the parallelogram

∵ The length of any horizontal side = x2 - x1

∴ The length of the side = 5 - 0 = 5 <em>or</em> 8 - 3 = 5

∴ The length of one base of the parallelogram is 5 units

- The height of this base is the vertical distance between these two

  parallel bases

∵ The length of any vertical distance = y2 - y1

∵ y2 = 2 and y1 = -2 ⇒ the y-coordinates of the parallel bases

∴ The length of the vertical distance = 2 - (-2) = 2 + 2 = 4 units

∵ This vertical distance between the two parallel bases is the height

  of these bases

∴ The height of the parallelogram is 4 units

- The area of the parallelogram = base × height

∵ The base = 5 units and the height = 4 units

∴ The area = 5 × 4 = 20 units²

* The area of the parallelogram is 20 units²

7 0
3 years ago
Helppppp meeee pleaseeee in horrible at math
rosijanka [135]
Circumference = 2×3.14×r
3.14 is pie and r is the radius.
To find the radius you divide the diameter by 2.
19 ÷ 2 = 9.5
2×3.14×9.5 = 59.66
Multiply 59.66 by 6 because ther are 6 pennies.

59.66 × 6 = 357.96 mm.
4 0
3 years ago
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