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3 years ago

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

Mathematics

1 answer:

adell [148]3 years ago

4 0

7/3 = 1/x
7x = 3
x = 3/7
3/7 of a cup of red paint should be added to 1 cup of white paint

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The local high school is having a talent show. On Monday they sale 5 children tickets and 3 adult tickets for $25 On Tuesday the

Lunna [17]

The adult tickets cost $5 and the child tickets cost $2

Monday
5 x ($2) + 3 x ($5) = $25

Tuesday
4 x ($2) + 4 x ($5) = $28

4 0

3 years ago

Prove that C(50,3) + C(50,4) = C(51,4)

valkas [14]

By definition of the binomial coefficient,

$C(n,k) = \dfrac{n!}{k!(n-k)!}$

so we have

$C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)$

as required.

5 0

2 years ago

Harlon wrote the equation uppercase A = 18 (x squared + 1) to find the area of a rectangle that has a length of x squared + 1 an

Arturiano [62]

Answer:

its A

Step-by-step explanation:

3 0

4 years ago

20=6x+14 answer 0=6 true or false ?????

Roman55 [17]

Hey there!

Let's solve the equation.

20=6x+14

Subtract 14 from both sides.

6=6x

Divide 6 on both sides.

x=1

This is false.

I hope this helps!

~kaikers

4 0

3 years ago

Read 2 more answers

I need working out and answers for the following:

LenaWriter [7]

A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5

B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4

C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10

D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7

E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6

F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3

Hope This Helps You!

4 0

3 years ago