All categories

3 years ago

Marcel made an error when he used the distributive property to solve the problem shown. Which sentence describes the error?

Mathematics

2 answers:

Phoenix [80]3 years ago

7 0

The answer to this is step 2 because they multiplied when they should of subtracted the 10 and the 12.

Darya [45]3 years ago

5 0

Answer:

In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.

Step-by-step explanation:

Consider the provided expression.

$90\cdot x-90\cdot 12$ when x=10

Solve the above expression as shown:

Step 1:

$90\cdot x-90\cdot 12=90(x-12)$

Step 2: Substitute x=10.

$90\cdot x-90\cdot 12=90(10-12)$

Step 3: Open the parenthesis.

$90\cdot x-90\cdot 12=900-1080$

Step 4: Simplify

$90\cdot x-90\cdot 12=-180$

From the above calculation we can say that the error is:

In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.

You might be interested in

Please hurry!

KengaRu [80]

A) Because the 80 is by itself that would be the start up fee.

B) We are told x is the number of months. Since the X is being multiplied by 30, we know that would be the total monthly cost. This is being added to the 80, which does not have an exponent, so we know this is a single cost, which would be the start up fee.

C) Copying the same format as the given equation above, change the numbers:

f(x) = 20 + 35x

D) I used the same format as the first equation, which meant replacing the start up cost from the original one ( 80) with the start up of the new one (20). Then I changed the monthly cost from the original one (30) with the monthly cost of the new one (35).

E) Replace x in each equation with 8 and calculate the cost of each:

80 + 30(8) = 80 + 240 = $320

20 + 35(8) = 20 + 280 = $300

The second club (club B) is the cheaper option for her.

4 0

3 years ago

Explain the difference between qualitative and quantitative data. Choose the correct answer below. A. Quantitative data are coll

Leona [35]

The correct answer is F. Quantitative data are numerical in nature, while qualitative data are categorical in nature.

Explanation:

In research and all the different fields that apply to it, the word "data" refers to information, values or knowledge that can be used to understand a specific situation or phenomenon. Additionally, data can be of two different types quantitative and qualitative, these differ in their nature, the phenomenons they described and the way they should be analyzed. Indeed quantitative data refers mainly to numerical data or information about quantities such as statistics that are especially useful in mathematics, science and similar that focus on numbers. On the other hand, qualitative data refers to data based on categories or qualities and because of this qualitative data is used in humanistic research, although both types of data can be combined to study a phenomenon. Considering this, the key difference between both types of data is "Quantitative data are numerical in nature, while qualitative data are categorical in nature".

3 0

3 years ago

2^x=3^x+1 what are the exact approximate solutions

Mashcka [7]

Answer:

Step-by-step explanation:

The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.

$ln(2^x)=ln(3^{x+1})$ becomes, after following the power rule:

x ln(2) = (x + 1) ln(3). We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:

$x(\frac{ln(2)}{ln(3)})=ln(3)$ . We can factor out the ln from the left to simplify a bit:

$x[ln(\frac{2}{3})]=ln(3)$ . Divide both sides by ln(2/3) to get the x all alone:

$x=\frac{ln(3)}{ln(\frac{2}{3}) }$

On your calculator, you will find that this is approximately -2.709

6 0

3 years ago

Which of the following people might want to claim EXEMPT on their W-4

Zina [86]

The person that might want to claim exemption on the W-4 form is John who received money from his internship.

<h3>When can you claim the exemption when filling out the W-4 form?</h3>

This is possible if your income does not derive from:

A salary from a formal job.
Unemployment compensation.
Money from an employer.

<h3>Who can claim the exemption?</h3>

John can likely be exempted because he obtained the money from an internship, which is not a formal job.

Learn more about money in: brainly.com/question/11801782

#SPJ1

4 0

2 years ago

Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato es

Anit [1.1K]

Answer:

2,752

Step-by-step explanation:

English Translation

A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?

Solution

1 man was going to Bahia

With his 7 sisters.

Total nunber of humans = 1 + 7 = 8 humans

Each of the 7 sisters carried 7 boxes.

Each of the 49 boxes had 7 cats

Total number of cats = 7 × 7 × 7 = 343 cats

Each of the 343 cats had 7 puppies

Total number of puppies = 7 × 343 = 2401 puppies.

Total number of living things going to Bahia

8 humans + 343 cats + 2401 puppies

= 2,752

Hope this Helps!!!

6 0

3 years ago