All categories

4 years ago

Leanne runs a lap in 12 minutes. Kory runs a lap in 9 minutes. If they

Mathematics

1 answer:

klemol [59]4 years ago

6 0

Kory and Leanne will meet each other again after 36 minutes from starting i.e. at 10:36 am .

<u>Step-by-step explanation:</u>

Here we have , Leanne runs a lap in 12 minutes. Kory runs a lap in 9 minutes. We need to find out that If they both start running at 10 am, at what time will they both cross the start together again . Let's find out:

Kory runs a lap in 9 minutes and , Leanne in 12 minutes , in order to find at what time will they both cross the start together again we will find LCM of 9 & 12 :

⇒ $\frac{9(4)}{12(4)}$

⇒ $\frac{36}{36}$

So ,LCM of 9 & 12 is 36 .That means Kory and Leanne will meet each other again after 36 minutes from starting i.e. at 10:36 am .

In clear way , Kory will run race as :

1st lap = 9 minutes

2nd lap = 18 minutes

3rd lap = 27 minutes

4th lap = 36 minutes , i.e. at 10:36 am he'll complete his 4th lap

For , Leanne

1st lap = 12 minutes

2nd lap = 24 minutes

3rd lap = 36 minutes i.e. at 10:36 am he'll complete his 3rd lap .

This means Kory & Leanne will meet at 10:36 am completing there 4th and 3rd lap respectively .

You might be interested in

Would like to know Is -6.06 a integers

horrorfan [7]

Answer:

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

Since it's a decimal it can not be an integer.

6 0

3 years ago

Read 2 more answers

13) Circle O is shown with point A, B, C, and D on Circle O.

sladkih [1.3K]

The value of y is 50

The angle measurement of angle AOB is 100°

<h3>Circle Geometry </h3>

From the question, we are to determine the value of y and the measure of angle AOB

From one the circle theorems, we have that

Angles in the <u>same segment</u> are equal

In the given diagram, x° and y° are angles in the same segment

∴ x° = y°

From the given information,

x = 50

∴ y = 50

Hence, the value of y is 50

Also, from another circle theorem,

Angle at the <u>center</u> is twice the angle at the <u>circumference</u>

∴ ∠AOB = 2x° = 2y°

Then,

∠AOB = 2×50°

∠AOB = 100°

Hence, the angle measurement of angle AOB is 100°

Learn more on Circle Geometry here: brainly.com/question/17074363

#SPJ1

7 0

2 years ago

You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your

Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

E(r_c) = y*E(r_p) + (1 - y)*r_f

y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.

4 0

3 years ago

Please help me on this question

Masja [62]

Answer:

The number is 5

Step-by-step explanation:

Let x be the number

3x+5+x = 25

Combine like terms

4x+5 = 25

Subtract 5 from each side

4x+5-5 = 25-5

4x = 20

Divide by 4

4x/4 = 20/4

x = 5

8 0

4 years ago

Read 2 more answers

A tennis ball weighs about 57.6 grams. about how many apuntes would 12 tennis balls weigh?

Ilia_Sergeevich [38]

Answer:

The weight of 12 tennis balls = 691. 2 grams

Step-by-step explanation:

The weight of each tennis ball = 57.6 grams

So, the weight of 12 balls = 12 x ( weight of 1 ball)

= 12 x 57.6 grams

= 691.2 grams

⇒12 balls weigh 691.2 grams

Hence, the weight of 12 tennis balls = 691. 2 grams

7 0

3 years ago