Tom hAd $8153 in his bank account he deposited another $846 into the account he then used all his money to buy 100 identical cameras he sold the cameras for 150 $ each how much did Tom earn from selling each camera?

Answers

Answer 1
Answer: I really hope this helps you

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What is the factorization of the expression below?16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)

Answers

Answer:

B

Step-by-step explanation:

16 x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

16x² - 49

= (4x)² - 7²

= (4x + 7)(4x - 7) → B

Answer:

B

Step-by-step explanation:

There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.

Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.

4x4 is 16. That's why you put fours in front of Xs.

I am sorry for getting this wrong (if i did)

What is the prime factorization of 140
A.2x2x5x7
B.4x5x7
C.2x3x5x7
D.5x5x7

Answers

Answer:

A

Step-by-step explanation:

This one is best done by doing a pre factor.

140 = 14 * 10 Now all you need do is factor those two numbers.

140 = 7*2 * 5 * 2

Rearranging this you get 2 * 2 * 5 *7

A

What is 7,000,000,000 divided by 2%

Answers

2% = 0.02
so 7,000,000,000 divided by 2% (0.02) = 350,000,000,000

Benny bought 8 new baseball cards to add to his collection. The next day his dog ate half his collection. There are now only 36 cards left. How many did he start with? Answer in equation

Answers

 Benny started out with 80 Baseball cards. 

36 x 2 + 8

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show your work or justify your solution.

Answers

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = (1)/(2)\ inch.

Now, to get the volume of cube we put formula:

Volume=(side)^3\n\nVolume=((1)/(2))^3 \n\nVolume=(1)/(8)\ inch^3.

Thus, the volume of a cube is  (1)/(8) \ inch^3.

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

(1)/(8)* 154\n\n =(154)/(8)\n\n =19.25\ inches^3.

Therefore, the volume of the rectangular prism is 19.25 inches³.

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?1.44


Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

Answers

The correct answer for the question that is being presented above is this one: 

To find the mean of a set, add up all of the numbers and divide by how many numbers you have. For the first set:
u = (10.7+2.4)/2 = 6.55
For the second set:
u = (13.7 + 2.5)/2 = 8.1

To find the mean absolute deviation, (MAD) find the mean of the distances of each number from the mean.
First set:
MAD = (|10.7-6.55| + |2.4-6.55|)/2 = 4.15
Second set:
MAD = (|13.7-8.1| + |2.5-8.1|)/2 = 5.6

The means-to-MAD ratio is simply that, divide one by the other and that's it.
For the first set:
6.55 / 4.15 = 1.57831325
For the second set:
8.1 / 5.6 = 1.44642857