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mariarad [96]
2 years ago
13

In how many different ways can 5 boys be seated in 3 chairs

Mathematics
1 answer:
Gekata [30.6K]2 years ago
4 0
10 ways
There are (53)=10 ways of picking 3 seats from 5.
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3 years ago
Find the length of diagonal HJ. Round to the nearest hundredth.
Alisiya [41]

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

 (x_{1},y_{1}) and (x_{2},y_{2}) are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ x_{1}=-4 and x_{2}=5

∴ y_{1}=3 and y_{2}=-3

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

∴ HJ = \sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

7 0
3 years ago
Please help me out. What is 421 divided by 27
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Answer:

15.5925925926

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Amir started a business with john and jack. Amir invested 2/6 of the amount to start a business. John 2/5 of the investment. The
Nonamiya [84]

First, we need to add 2/6 and 2/5.

2/6 can be simplified to 1/3

We need to have 1/3 and 2/5 have the same denominator. 3 and 5's LCM (least common multiply) is 15.

Multiply both the numerator and denominator of 1/3 by 5. This equals 5/15.

Multiply both the numerator and denominator of 2/5 by 3. This equals 6/15.

5/15 plus 6/15 is 11/15. This means that Jack's 6000 dollars is 4/15.

Let's say that x is the total amount invested by all three.

6000/x would equal 4/15.

Solve this by multiply 6000 by 15 and 4 by x and making these two equal each other.

90000 would equal 4x. Divide both sides by 4 to get x.

90000 divided by 4 would be 22500.

4/15 is the fraction by Jack

22500 is the total amount invested by all 3

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3 years ago
The are of a rectangle is 54 cm. The length is 2 cm more than a x and the width is 5 cm less than twice x. Solve for x. Round yo
romanna [79]
Given that:

(x+2)(2x-5)=54

We have:
2x^2-x-64=0

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.
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