Valerie and Seth are measuring the outside walls of a house using two different instruments. They want to find the house's perimeter. Valeria measured the north and east sides while Seth measured the west and south sides. Their results are listed in the table.
Part A
Use decimal numbers to write an expression that represents the length of the walls that Valerie measured.
Part B
Now use decimal numbers to write an expression that represents the length of the wall that Seth measured.
Part C
Write an expression for the perimeter of the house. Use the work you completed in part A & B to guide you.
Part D
Simplify the expression from part C to find the perimeter of the house in feet.
Part E
Suppose that you evaluate the expression for Valerie's wall and the expression for Seth's wall separately. Then you add the two expressions together. Will you get the same answer that you arrived at in part D? Why or why not? Show your work to prove your case.
PLEASE PLEASE PLEASE HELP I REALLY NEED HELP IN THIS WORK, THANK YOU.
Answers
Answer:
A)
Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.
Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.
Valerie measured 1 wall at 32 feet.
The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.
B)
Seth measured 1 wall at 3.5 feet.
Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.
Seth measured 1 wall at 58 feet.
The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.
C)
The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.
The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.
To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.
D)
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58
= 10 + 63.75 + 32 + 3.5 + 45.5 + 58
= 212.75
The perimeter of the house is 212.75 feet.
E)
The total length of Valerie’s walls is 105.75 feet:
(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.
The total length of Seth’s walls is 107 feet:
3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.
The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.
edmentum answers :)
Related Questions
if x=5 find the value of x squared
Answers
Answer: [tex]5^{2}[/tex] is 25. This is because 5 x 5 is 25.
Step-by-step explanation:
Answer:
squared is the result of multiplying a number by itself so if x= 5 then, 5 X 5 = 25 or [tex]5^{2} \\[/tex]
Step-by-step explanation:
Common ratio of 1/2,1,2,4,8
Answers
Step-by-step explanation:
common ratio (r) = second term÷first term
A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are asked whether or not they are happy with their majors. Assume that none of these 250 students is majoring in both areas. There are a total of 100 majoring in psychology and only 80 of those majoring in psychology are happy while 35 students majoring in communication are unhappy.
If one student is selected at random from this group, find the probability that this student is:________
i. happy with the choice of major
ii. a psychology major
iii. a communication major given that the student is happy with the choice of major
iv. unhappy with the choice of major given that
Answers
Solution :
It is given that :
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]$=\frac{80+115}{250}$[/tex]
= 0.78
b). Psychology major [tex]$=\frac{80+20}{250}$[/tex]
= 0.4
c). Probability of the students who are happy with the communication as the choice of major = [tex]$\frac{115}{250}$[/tex] = 0.46
d). Students unhappy with their choice of major given that the student is psychology major = [tex]$\frac{20}{250}$[/tex] = 0.018
a) Probability of the students happy with their major choices is 0.78.
b) Probability of Psychology major is 0.4
c) Probability of the students who are happy with the communication as the choice of major is 0.46.
d) Students unhappy with their choice of major given that the student is psychology major is 0.018
Given:
Number of students in a random sample majoring in communication or psychology at an university = 250
Total number of students majoring in psychology = 100
Number of students majoring in psychology those who are happy = 80
So, number of students majoring in psychology those who are not happy = 20
Total number of students majoring in communication = 250 - 100 = 150
Number of students majoring in communication those who are happy = 115
So, number of students majoring in psychology those who are not happy = 35
a). Probability of the students happy with their major choices are
[tex]=\frac{80+115}{250} =0.78[/tex]
b). Psychology major
[tex]\frac{80+20}{250} =0.4[/tex]
c). Probability of the students who are happy with the communication as the choice of major =[tex]\frac{115}{250} =0.46[/tex]
d). Students unhappy with their choice of major given that the student is psychology major =[tex]\frac{20}{250} =0.018[/tex]
Learn more:
brainly.com/question/17349827
Geometric mean of 45 and 15
Answers
Answer:
30
Step-by-step explanation:
[tex]\frac{45+15}{2}[/tex] equals 30.
Answer:
45 + 15 = 60 divided by 2 is 30
In the diagram, JK is congruent to GI. Solve for x if HJ = 3x, HK = 2x, KI = 6x, and JG = 18 units.
Answers
Your mom loves to walk. She walks 4 miles each day. If
she wants to walk a total of 56 miles, how many days
should she walk?
Answers
Answer:
14 Days
Step-by-step explanation:
Your mom walks 4 miles each day and wants to walk a total of 56 miles.
You have to divide 56 by 4 and you'll get 14 days.
If you would like to check your answer, you can multiply 14 by 4 and you'll get 56 miles!
5(y+25)=-13 i need help explaining
Answers
Answer:
y=-138/5=-27 3/5 = -27.6
Step-by-step explanation:
5(y+25)=−13
Divide both sides by 5.
y+25=-13/5
Subtract 25 from both sides.
y=-13/5−25
Convert 25 to fraction 125/5
y=-13/5-125/5
Since -13/5 and 125/5 have the same denominator, subtract them by subtracting their numerators.
y=-13 - 125/5
Subtract 125 from −13 to get −138.
y=-138/5
−6(x+7) pls help me.
Answers
-6x-42=0
+42 +42
-6x= 42
————
-6. -6
x= -7
pls help 100 points helphelp
Answers
Answer:
Some kind of evadence
Step-by-step explanation:
Answer:
Im pretty sure it would be C.
Step-by-step explanation:
Sine a signature, photograph and quotes are all pieces of evidence, you can rule them out and infer that c would be the most reliable answer.
If you vertically stretch the absolute value parent function, f(x)=|x|, by a factor of 4, which of these is the equation of the new function?
Answers
Among two congruent angles ,one has measure 69⁰,then the measure of other angle is
Answers
Answer:
Your answer is
Congruent means similar.
Other angle is 69°
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Please please give answer
Answers
Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
[7TH GRADE MATH] Can someone please explain how to round a square root to the tenth place without using a calculator.
(I WILL BE GIVING BRAINLIEST!!!!)
Answers
Answer:
Step-by-step explanation: To find a decimal approximation to, say √2, first make an initial guess, then square the guess, and depending how close you got, improve your guess. Since this method involves squaring the guess (multiplying the number times itself), it uses the actual definition of square root, and so can be very helpful in teaching the concept of square root.
Example: what is square root of 20?
You can start out by noting that since √16 = 4 and √25 = 5, then √20 must be between 4 and 5.
Then make a guess for √20; let's say for example that it is 4.5. Square that, see if the result is over or under 20, and improve your guess based on that. Repeat this process until you have the desired accuracy (amount of decimals). It's that simple and can be a nice experiment for students!
Answer:
The number’s square root is a number that, when multiplied by itself, equals the first number. Another way of saying this is: “What can we multiply by itself to get the number in question?”
Step-by-step explanation:
For example, the square root of 1 is 1 because 1 multiplied by 1 equals 1 (1X1=1). However, the square root of 4 is 2 because 2 multiplied by 2 equals 4 (2X2=4). Think of the square root concept by imagining a tree. A tree grows from an acorn. Thus, it’s bigger than but related to the acorn, which was at its root. In the above example, 4 is the tree, and 2 is the acorn.
Thus, the square root of 9 is 3 (3X3=9), of 16 is 4 (4X4=16), of 25 is 5 (5X5=25), of 36 is 6 (6X6=36), of 49 is 7 (7X7=49), or 64 is 8 (8X8=64), of 81 is 9 (9X9=81), and of 100 is 10 (10X10=100).[1]
PLEASE HELP PLEASe!!!!
what does 3p equal to?
p= 1/3
please show your work and include the steps in doing it.
Im confused so please help thank you!
Answers
Answer:
1 just 1 i need 20 characters but ok
Explanation:
If p = 1/3, then 3p = 1 after multiplying both sides by 3
We can show the steps like this
3p = 3(p) = 3(1/3) = 3/3 = 1
HELPP PLEASE W A MATH PROBKEN If x is 6, what is:
X +4
Answers
Answer:
10
Step-by-step explanation:
x=6, so 6+4=10
Answer:
10
Step-by-step explanation:
so if x is 6 then it would be 6+4=10
PLS HELP I WILL GIVE BRAINLIEST
Answers
Answer:
Part A: A. 28+5h
Part B: Yes
Sampson has a list of items that are on sale to pick up at the store. The sale items are the following:
Ice cream – $1.89
Sweet corn – 3 for $1
Bananas – $0.49 per pound
Sampson buys 1 carton of ice cream, 4 ears of corn, and 2.5 pounds of bananas. His receipt is shown below.
Swt corn 2 3/$1 $0.67
Bananas 2.5 lb 0.49 $1.23
Ice crm 1 2.49 $2.49
Store discount for ice crm $0.60 -$0.60
Swt corn 2 3/$1 $0.67
Determine if Sampson's receipt is correct.
a.
Yes, Sampson's receipt is correct.
b.
No, Sampson paid too much for corn.
c.
No, Sampson paid too much for ice cream.
d.
No, Sampson paid too much for bananas.
The Answer is A
Answers
Answer:
the answer is A) Yes, Sampson's receipt is correct.
Step-by-step explanation:
Answer:
A
Step-by-step explanation: edge
items? How many of each
ina
3.Reina has 40 pieces of bananas, 48 pieces of atis and 36 pieces of chicos. She
wants to put them equally in the plastic bag. How many possible number of
each fruit will be placed in the plastic bag?
Answers
Answer:
36
Step-by-step explanation:
If I understood your question right, it means that Reina wants to put equal amounts of fruits into the bag. Also it suggests that the volume of the bag is not limited.
Since 36 < 40 < 48, the largest amount of each kind of fruits in the bag can be 36. Otherwise Reina wouldn't be able to put more chinos and the amount of each fruit in the bag wouldn't be equal.
Assuming that the smallest amount of fruits in the bag is one (the bag is not empty), there are 36 possible numbers (from 1 to 36) of each fruit.
1+1 impossible sooooooooooooo hard
Answers
Answer:
2 is my answer im sureeee
Step-by-step explanation:
1+1=1
Answer: ok so these are my guesses 1+1=11, 1+1=Window ,100+1=lol last guess 1+1=2 ldk soooooo complicated
Step-by-step explanation:
Tina buys a briefcase online for 62.95. If shipping and handling are an additional 20% of the price, how much shipping and handling will Tina pay?
Answers
Answer:
Tina will pay $12.95 for shipping and handling.
Step-by-step explanation:
Because you literally just have to multiply $62.95 by .2 and you have your answer.
given 1/cot x - sec x/ csc x= cos x find a numerical value of one trigonometric function of x
Answers
Answer:
what's is supposed to be going on here what the the option
Answer:
Step-by-step explanation:
c on edge
Select all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.
After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.
Which statements about this study are true?
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design
Answers
Answer:
this study uses random sampling
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
plato/edmentum
Correct answers bolded and italicized and underlined
the study uses blocking
this study uses random sampling
this study uses blinding
this study uses a control group
this study uses a repeated measures design
Step-by-step explanation:
no :)
Su is baking 5 batches each of cookies and cupcakes. The cookies use 2 cups of sugar per batch and the cupcakes use 3 cups of sugar per batch. Write two equivalent expressions using the Distributive Property. Then find how many total cups of sugar are needed.
I know the answer is 25 but how would I write the expression.
Answers
Answer:x=25 divided by 5
Step-by-step explanation:
Figure ABCD has vertices A(-3,2), B(2, 2), C(2,-4), and D(-3,-2). What is the area of Figure ABCD?
5 square units
20 square units
25 square units
40 square units
Answers
Answer:
Here's an answer so you can give the other person Brainly! :)
Step-by-step explanation:
And i'm pretty sure it's C: 25 :))))!
Use the graph of f to describe the transformation that results in the graph of g. Then sketch the graphs of g and f. f(x) = ; g(x) =
Answers
Answer:
Di ko alam
Step-by-step explanation:
Hirap niyan eh
asap! add the formula too please!
Answers
Answer:
Step-by-step explanation:
In a survey, 150 seventh graders said that they had been to a foreign country. That number represented 20% of the students who were surveyed. How many students were surveyed?
Answers
Answer:
750
Step-by-step explanation:
150/2=7.5
7.5*100=750
750*0.2=150
Determine which form x – 3y = 18 is represented as:
Answers
Standard form is Ax+By=C
TASK 2
Make some shapes
Plot each set of points on a number plane. Join the dots in order and name the shape formed.
1
(0, 0), (5, 0), (5,5) and (0,5)
Name of shape:
Answers
Step-by-step explanation:
The required shape is a square.
Refer to the attachment.
The sides of a square are equal. So, the answer is a square.
[Drawing Courtesy- Brainly app]
Write the sum of unit fraction for 2/3