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3 years ago

A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you

Mathematics

2 answers:

SVEN [57.7K]3 years ago

9 0

Question

A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you reach into the drawer and choose a sock randomly, what is the probability you will get a black sock?

P (black) = StartFraction Number of favorable outcomes over Total number of outcomes EndFraction

Answer:

1/5

djyliett [7]3 years ago

8 0

Answer:

Added all together= 50

Black socks= 10

10/50

Step-by-step explanation:

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the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be $x + 2$

Sum of two consecutive number = $(x) + (x + 2)$

$\Rightarrow$ Sum of two consecutive number = $2x + 2$

Product of two consecutive number = $(x) \times(x+2)=x^{2}+2 x$

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

One even number = $x=4$

Other even number = $x + 2 = 4 + 2 = 6$

Hence required equation to determine two consecutive even number is $x^2 -16 = 0$ and required numbers are 4 and 6.

8 0

4 years ago

A box contains 1 plain pencil and 4 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen

Furkat [3]

1 pencil and 4 pens = 5 total

Picking the pencil would be 1/5 ( 1 pencil out of 5 total items)

5 color pencils + 5 crayons = 10 total items.

Picking a color pencil would be 5/10 which reduces to 1/2

To find the probability of both happening, multiply them together:

1/5 x 1/2 = 1/10

The probability is 1/10

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3 years ago

Need help on number 16. A recipe calls for 3 cups of sugar for every 5 cups of flour. If the recipe you make requires 2.5 cups o

levacccp [35]

Um what if you multiply 2.5 x5=12.5 then multiply 16x3=48 and then subtract 12.5 by 48 and you will get 77 cups of sugar srry if it is not the right answer this is not my account this is my fathers im not in collage im in 5th grade . so i hope this helped you

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3 years ago

Trava [24]

Answer:

The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is,

c(p) = ($0.59)p

Step-by-step explanation:

The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is C(p)=0.59p

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emmainna [20.7K]

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