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Anna71 [15]
4 years ago
11

Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to catch up to the truck? How fa

r will she go in that time
Mathematics
1 answer:
creativ13 [48]4 years ago
8 0
<span>t = 20/(r-50)</span>t=20/r-50 hours

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What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common
kolbaska11 [484]

Answer:

The smallest positive number is 8

Step-by-step explanation:

let the smallest positive number = x

45 is a multiple of 9 ⇒ 9 x 5 = 45

the next multiple of 9 after 55 is  63

= 9 x 7

= 63

Thus, x + 55 = 63

x = 63 - 55

x = 8

The greatest common factor of 45 and 63 = 9

Therefore, the smallest positive number is 8

5 0
3 years ago
You are the administrator of an annual essay contest scholarship fund. This year a $84,000 college scholarship is being divided
shutvik [7]

The winner got $70,000 and the runner up got $14,000

Let the winner be represented by x and runner up by y

Data given;

  • Amount to be shared = $84000
  • x = 5y

This is a simple case of ratio i.e 1 : 5

<h3>Equation</h3>

x = 5y\\84000 = 5y + y\\84000 = 6y\\y = 14000\\

The runner up received $14000. let's use this data to find how much the winner got.

x = 5y \\x = 5 * 14000\\x = 70000

From the calculations above, the winner got $70,000 and the runner up got $14,000.

Learn more about ratios here;

brainly.com/question/1781657

3 0
2 years ago
Tom and JAERRY SHARE 56KD in the ratio 4:3
expeople1 [14]

a) 4:3 so 4+3= 7

56÷7=8

final answer : 8

b) 3×8 = 24

3 0
3 years ago
Find the area of the shaded sector of the circle. Use pi=3.14
Neporo4naja [7]

Answer:

If radius of circle = 1, the shaded sector area is calculated by:

A = pi x radius^2 x (136 x 2)/360 = 3.14 x 1^2 x 272/360 =2.37

Hope this helps!

:)

4 0
3 years ago
. The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard
rewona [7]

Answer:

0.78015

Step-by-step explanation:

Given that :

Mean, μ = 1220

Standard deviation, σ = 110

Probability that sales is less Than 1305 on a given day

P(x < 1305) :

Obtain the standardized score Z

Z = (x - μ) / σ

Z = (1305 - 1220) / 110

Z = 85 / 110

Z = 0.7727272 = 0.7727

P(Z < 0.7727) = 0.78015 (Z probability calculator)

6 0
3 years ago
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