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tangare [24]
3 years ago
9

34) Apply the distributive property to simplify the expression. 5(3x − 7) A) 15x + 35 B) 15x − 35 C) −15x + 35 D) −15x − 35

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

B. 15x-35

Step-by-step explanation:

We are asked to simplify the expression 5(3x-7) using distributive property.

Distributive property states that we can multiply a quantity to sum by multiplying each addend separately and then add the products as:

a(b+c)=a\cdot b+a\cdot c

Using distributive property, we will multiply 5 by 3x and -7 as:

5\cdot 3x-5\cdot 7

15x-35

Therefore, the simplified form of the given expression would be 15x-35 and option B is the correct choice.

Fofino [41]3 years ago
7 0

Answer:

Answer:

B.

Explanation:

If you want to multiply a parenthesis by a number, you simply distribute the number to all the terms in the parenthesis.

Step-by-step explanation:

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2 years ago
If the side of a square is 3/4 feet, what is the area of the square
yuradex [85]

\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2

6 0
2 years ago
Read 2 more answers
asmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72.
Inga [223]
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128

The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.

Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.

The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
8 0
3 years ago
A bag of peanuts is 4 1/5 ounces. If you have 3/5 of a bag, how many ounces does it weigh?
Nana76 [90]
4\frac{1}{5} ÷ \frac{3}{5} = 7, but Im not 100% sure if thats right. You should pick someone else's answer.
8 0
3 years ago
Read 2 more answers
Alison, the owner of a regional chain of pizza stores, is trying to decide whether to add calzones to the menu. She conducts a s
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

5 0
3 years ago
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