T divided by -4 equals 9

What is the width of a rectangle with an area of five over 8 in.² and a length of 10 inches?

34kurt

A = w*l

5/8 = w*10

w = (5/8)/10 = (5/8)*(1/10) = 5/80 = 1/16

w=1/16

6 0

2 years ago

Factor completely:<br>64 - y^3

madam [21]

From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is $4^{3}$ , and $y^{3}$ .

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are $a^{3}$ and $b^{3}$ . The difference of those two cubes is:
$a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})$

In our problem, a = 4 (since $a^{3}$ = 64) and b = y (since $b^{3} = y^{3}$ . Plug these values into the rule to find the factor of $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

-----

Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

3 years ago

use the value of the ratio to determine which ratio is equivalent to 7:15. Check all that apply! Question 4 options: 21:45 14:45

PIT_PIT [208]

7:15=(7*3):(15*3)=21:45

7:15=(7*9):(15*9)=63:135

21:45 and 63:135

8 0

3 years ago

PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!

Zolol [24]

(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.

In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).

The total number of chips of different colors in Amy's bag is:

8 blue chips + 9 pink chips + 1 white chip = 18 color chips

Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.

So, the probability that Amy takes out a pink chip in the first draw is:

P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:

P(B) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

What is the probability that Amy takes out a pink chip in both draws?

P(A∩B) = P(A)P(B)

P(A∩B) = (9/18)(9/18) = 81/324

4 0

3 years ago

Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lyi

Blizzard [7]

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

$s + c = 47$ --- total attendance

$5s + 4c =200$ --- ticket sold

Solve for s and c.

Make s the subject in (1)

$s = 47-c$

Substitute 47 - c for s in (2)

$5(47 - c) + 4c = 200$

Open bracket

$235 - 5c + 4c = 200$

$235 - c = 200$

$c = 235 - 200$

$c = 35$

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

<em>So, we can conclude that the $1 belongs to the cash box</em>

4 0

2 years ago