20 points each!!! Heather has 2 less than 5 times the amount of shoes that Donna has, Gina has 1 more than 2 times
amount of shoes that Donna has. Let x represents how many shoe Donna has.

a. Write an expression that represents how many more pairs of shoes Heather has than Gina.

b. Simplify the expression:

c. How many more pairs of shoes does Heather have is Donna has 14 pairs of shoes?

Answer:

A. (5x - 2) - (2x +1)

B.  x -1

C. 68

Step-by-step explanation:

Heather = 5 times Donna -2   H = 5D - 2

Gina = 2 times  Donna + 1    G = 2D + 1

Plug in D for X and you get

H = 5x -2

G = 2x + 1

If Heather's expression is 5x -2 and Gina's expression is 2x + 1 then to show how many more Heather has than Gina. You have to subtract Gina from Heather.

(5x - 2) - (2x +1)

Now to simplify it, you just combine all the like terms.

5x - 2 - 2x -1 = 3x - 3   and then you can simply this further by dividing all terms by 3.    x - 1

To solve how many Heather has if Donna has 14. You substitute 14 for x in Heather's equation.    5 (14) -2  =  70 - 2 = 68

The Lesson Activity will help you meet these educational goals:

Content Knowledge—You will recognize statistical questions and examine the habits of data collected to answer them.
Mathematical Practices—You will construct viable arguments and analyze the reasoning of others.
STEM—You will grow in your understanding of mathematics as a creative human activity.
21st Century Skills—You will use critical-thinking and problem-solving skills and collaborate with others.
Directions
Read the instructions for this self-checked activity. Type in your response to each question, and check your answers. At the end of the activity, write a brief evaluation of your work.

Activity
Part A

For his class survey, Walden chose the question, How many people live in your home, including yourself? He asked his friend Drake to help him with the survey. Walden asked 10 students in his class the question, and Drake posed the same question to 10 more students in their class.

Based on the responses, they wrote these data sets:

Walden’s data set: 2, 2, 2, 3, 3, 3, 3, 4, 4, 4

Drake’s data set: 3, 3, 4, 4, 4, 4, 5, 6, 7, 9

Question 1

Compare the two data sets. Do they have the same center, or is the center of Walden’s data set greater or less than the center of Drake’s data set?


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Question 2
How does the spread of Walden’s data set compare with the spread of Drake’s data set?


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Question 3
Predict the overall shape of the distribution of the two data sets. Will the graphs of the two data sets be skewed to the left, skewed to the right, symmetrical, or uniform?


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Question 4
Are there any outliers in the data sets? If there are outliers, do they lie at the lower end or at the higher end of the data sets?


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a 215
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please help 5 questions for 15 points
------------------------------------------------------------
1) Which expression is equivalent to 4(23)?

A.
B.
C.
D.
..................................................................................................
2. Which expressions are equivalent to 4(42)?

A.
B.
C.
D.
.......................................................................................................
3.Which expression shows how 6⋅45 can be rewritten using the distributive property?
A.
B.
C.
D.
...............................................................................
4.Tori uses the greatest common factor and the distributive property to rewrite this sum:
24 + 84
What expression does Tori write?
A.
B.
C.
D.
.....................................................................
5.Claude uses the greatest common factor and the distributive property to rewrite this sum:
45 + 90
Drag one number to each box to show Claude's expression.
_(_+_)
1, 2, 5, 9, 10, 18, 45, 90
.................................................................................
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01:52:06
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Because Negative 4 + (negative 7) is an equivalent expression, the answer is –11.
Because 4 + (negative 7) is an equivalent expression, the answer is –3.
Because 4 + (negative 7)is an equivalent expression, the answer is –11.
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