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natka813 [3]
1 year ago
10

Margie's work for adding linear expressions is shown below. After checking her answer with the answer key, she solved it incorre

ctly. Given (−1.56b + 10) − (4.27b − 14) Step 1 −1.56b + 10 + (−4.27b) + 14 Step 2 −1.56b + 4.27b + 10 + 14 Step 3 (−1.56b + 4.27b) + (10 + 14) Step 4 2.71b + 24 Part A: Identify and explain the first step where Margie made an error. (6 points) Part B: Explain how to correctly write the expression in fewest terms by correcting the error in Part A. Show all work. (6 points)
Mathematics
1 answer:
xxMikexx [17]1 year ago
5 0

The correct form of expression after solving the errors is :

-5.83b + 24

Given Margie's work for adding linear expressions are:

the expression is (−1.56b + 10) − (4.27b − 14)

step 1: −1.56b + 10 + (−4.27b) + 14

In the first step of margie, she did not used the proper method of opening the brackets.

The negative sign is used to multiply the terms inside the brackets.

so the correct step is:

step 1: -1.56b + 10 - 4.27b + 14

in the next step arrange the variables and constants.

step 2 :  -1.56b - 4.27b +10 + 14

next add the variables and the constants:

step 3: (-1.56b - 4.27b) +(10 + 14)

step 4: -5.83b + 24

Hence we get the required results.

Learn more about Solving expressions here:

brainly.com/question/723406

#SPJ1

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A=0.5(12)+10= 16. Antonio has 12 chores.
3 0
3 years ago
What is the square root of 248 + square root of 63​
enyata [817]

Answer:

1) √248 = ± 15.7480157

2)√63 = ± 7.93725393

 

Step-by-step explanation:

7 0
3 years ago
Marcus wants to use a model to determine the difference
grigory [225]

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We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

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8 0
1 year ago
Please answer this correctly
bonufazy [111]

Answer:

The dependent variable is m

Step-by-step explanation:

A dependent variable is dependent on an independent variable. This variable is dependent on other variable that are measured . The dependent variable are expected to change as a result of the manipulation of the independent variables. Usually as the experiments changes the independent variable the dependent variable are observed and noted.

The independent variable is unaffected by the other variable you are measuring. The independent variable represent a quantity that is been manipulated in an experiment.

According to the question Jenny works as a server at Jefferson restaurant . The more table she is assigned to serve the more money she earns during a shift.

The independent variable is the number of table Jenny served because this is what she has control over.

The dependent variable is the amount of money Jenny earns because the amount of money she earns is dependent on the number of tables she served . Therefore the dependent variable is m

7 0
3 years ago
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3
horrorfan [7]

Answer:  The correct option is (B) 24 : 25.

Step-by-step explanation:  Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Therefore, the ratio of the area of R to the area of S is

\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0
4 years ago
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