Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?

Answers

Answer 1

Missing Part of the Question

3 (4 - y) -7 ; 5 + 3y 9 + y + 4y - 2 - 3y; -2y + 7 5 + y - 2 - 6y + y; 8y + 3 2y + 7 + y - 2 + y; 4y + 5

Answer:

2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

Substitute 3 for y in 3 (4 - y) -7

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

Then Substitute 3 for y in 5 + 3y

This gives  5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

---------------------------------------------------------------------------------------

9 + y + 4y - 2 - 3y; -2y + 7

Substitute 3 for y in 9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

Then Substitute 3 for y in -2y + 7

This gives  -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

---------------------------------------------------------------------------------------

5 + y - 2 - 6y + y; 8y + 3

Substitute 3 for y in 5 + y - 2 - 6y + y

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

Then Substitute 3 for y in 8y + 3

This gives  8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

---------------------------------------------------------------------------------------

2y + 7 + y - 2 + y; 4y + 5

Substitute 3 for y in 2y + 7 + y - 2 + y

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

Then Substitute 3 for y in 4y + 5

This gives  4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

Answer 2

Answer: 2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation: just did it


Related Questions

Question 3 (1 point)
How can plant spines and bird migrations be categorized as adaptations?
Plant spines a structural adaptation, while the bird migration is a behavioral adaptation.
Bird migration is a structural adaptation, while the plant spines is a behavioral adaptation.
They are both structural adaptations.
They are both behavioral adaptations.

Answers

Answer:

D

Step-by-step explanation:

because that's the answer.

Answer d

Step-by-step explanation: have a good day :)

Assume that Sunday is represented as day​ 0, Monday is represented by day​ 1, and so on. If today is Monday ​(day 1​), determine the day of the week it will be at the end of 155 days. Assume no leap years.

Answers

Answer:Wednesday

Step-by-step explanation:

Given

Sunday is considered as 0 day and

Monday as day 1 so Saturday must be considered as day 7

At the end of 155 days

i.e. [tex]\dfrac{155}{7}=22\times 7+1[/tex]

Up to  155 days there are 22 weeks and 1 extra day i.e.

There are 22 Mondays plus 1 extra day i.e. Tuesday

[tex]155^{th}\ \text{day is Tuesday and day after it is wednesday}[/tex]

Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.

Answers

Toothpaste and food coloring

You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the number of times you drink all the water in your bottle, and l is the number of liters of water you drink. The relationship between these two variables can be expressed by the following equation: l=0.5b.
Identify the dependent and independent variables.

Answers

Answer:

The independent variable is b and the dependent variable is l

Step-by-step explanation:

The independent variable is b and the dependent variable is l

The independent variable is the one you change, and the dependent variable is changed when you  alter the independent variable

What is the area and perimeter of the length is 1.5 m and a width being 0.25 m? Thank you if ur a helper!

Answers

Answer: The area is 0.375 and the perimeter is 3.5

Step-by-step explanation:

The formula to find the area of something is length x width. So you have to multiply 1.5 x 0.25 which equals 0.375.

The formula to find the perimeter of something is length + width + length + width. (basically you have to add up all of the sides). I'm assuming the shape is a rectangle which means 2 sides have a length of 1.5 and the other 2 sides have a width of 0.25. So that means you would have to add 1.5 + 1.5 + 0.25 + 0.25 which equals 3.5

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2 * length + 2 * width

= 2*1.5 + 2*0.25

= 3 .5 m.

Area = length * width

= 1.5 * 0.25

= 0.375 m^2.

A recipe uses 4 c of rice to every 5 c of beans. How many cups of beans are needed for 10 c of rice?

Answers

Answer:12.5

Step-by-step explanation:

10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.

What are the mean,mode, and range for this set of data? 5.1,3.7,3.1,4.3,7.2,4.3,2.5

Answers

Answer:

Mean: 4.3142

Mode: 4.3

Range: 4.1

Step-by-step explanation:

5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 + 2.5 = 30.2

30.2 ÷ 7 = 4.3142

Answer:

Step-by-step explanation:

First step to finding the mean, is to add all of the numbers up.

5.1 + 3.7 + 3.1 + 4.3 + 7.2 + 4.3 +2.5 = 30.2

The next step is to divide the total against the amount of numbers in the sequence. Since there are 7 numbers in this sequence, you will divide 30.2 by 7.

30.2 / 7 = 4.3 (rounded to the nearest tenth)

The mean of the data set is 4.3

To find the mode, you will look for the number of the set that appears most frequently. I suggest putting the numbers in order of least to greatest, as this keeps them sorted and organized.

2.5, 3.1, 3.7, 4.3, 4.3, 5.1, and 7.2

Looking at these numbers, you can see that 4.3 pops up twice in the data set. This will be the mode, because it is the number that appears most frequently.

To find the range, you take the greatest number in the data set, and subtract it by the smallest.

7.2 - 2.5 = 4.7

That means that 4.7 is the range of the data set.

- Answered by, Inspire with a lowercase L, because the regular word "Inspire" was alreadt taken

5. The length of a rectangular sign is 6 inches more than half its width. The area of the sign is 432 square
inches. Find the dimensions of the sign.​

Answers

Answer:

X = 13.2

Step-by-step explanation:

W = x

L = 2x + 6

A = 432in^2

x(2x + 6) = 432

2x^2 + 6x = 432

Answer:

x=13.2

Step-by-step explanation:

Cindy gets paid an hourly wage. During a 40-hour week, Cindy earns $240. This week she worked only 35 hours. How much did she earn?

Answers

Answer:

210

Step-by-step explanation:

Which of the following represents the sum of the series below 4+7

Answers

4+7 equals 11 hope this helps !!!

Answer:

The sum is addition -----  11 is the answer

Step-by-step explanation:

Please answer correctly !!!! Will mark brainliest !!!!!!!!

Answers

Answer:

a.............

........

Answer:

A.

Step-by-step explanation:

So the d in this case is 2. D is the number of kilometers Erica walked.

T is the vertical distance.

Find the right choice:

After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers.

do the ratios 1/3 and 2/9 form a proportion

Answers

Answer: No they don't because there is not way 1/3 can be multiplied by a number to get  2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

Answer:

they do!

Step-by-step explanation:

2/9 / 1/3 = 3/6 = 1/3

So the proportion is 2 to 1

n + 0 = 8
please help!

Answers

Answer:

The answer is 8

Step-by-step explanation:

you do inverse operations so you do 0+8 witch is 8! Hope this Helped ;)

Answer:

A

Step-by-step explanation:

Which of the following is a strong base?
ethyl alcohol
ammonia
vinegar
O potassium hydroxide

Answers

Answer:

potassium hydroxide

Step-by-step explanation:

Answer:

Potassium hydroxide

Step-by-step explanation:

Which of the following cannot be used to state a postulate?
A:defined terms
B:theorems
C:undefined terms
D:definitions

Answers

Answer:

Defined terms and Undefined terms

Step-by-step explanation:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is .

The line perpendicular to the line y = –8 is .

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is .

Answers

Answer:

x = - 4

Step-by-step explanation:

y = - 8 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line must then be a vertical line parallel to the y- axis.

The equation of a vertical line is x = c

where c is the value of the x- coordinates it passes through.

The line passes through (- 4, - 2) with x- coordinate - 4, thus

x = - 4 ← equation of perpendicular line

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

Step-by-step explanation:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

i need help please!!

Answers

Answer:

i say w< 6

Step-by-step explanation:

if the circle is open then it is less than 6

if the circle is closed than it is 6 or less

Umm I believe the answer is W<6

How many triangles can you make if you are given these three lengths for sides

Answers

Answer:

a lot of triangles

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?

A.

Newton’s law

B.

Ohm’s law

C.

Stoke’s law

D.

Faraday’s law

Step-by-step explanation:

PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!

Answers

I think it’s D. I’m not sure though.

You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan charges a monthly fee of $39.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?

Answers

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

Answer:

286 minutes.

Step-by-step explanation:

Plan one: .24x

Plan two: 39.95 + .10x

When x = 286, the price of plan one is $68.64, which is higher than plan two which is $68.55. This makes the second plan preferable after 286 minutes of use.

what is −5x+2y=9
y=7x

Answers

Answer:

x=1, y= 7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation in for the first

-5x +2(7x) = 9

-5x + 14x = 9

Combine like terms

9x = 9

Divide by 9

9x/9 = 9/9

x =1

Now find y

y = 7(1)

y =7

Answer:

Step-by-step explanation:

-5x+2y=9

y=7x

Since you know what y is relative to x, you can plug it into the formula to find your answer.

-5x+2(7x)=9

14x-5x=9

x=1

y=7

√(81+18√(7)+7)
(not decimal form)

Answers

Answer:

[tex]\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}[/tex]

Step-by-step explanation:

[tex]\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7[/tex]

A mathematics teacher wanted to see the correlation between test scores and
homework. The homework grade (x) and test grade (y) are given in the accompanying
table. Write the linear regression equation that represents this set of data, rounding
all coefficients to the nearest hundredth. Using this equation, estimate the homework
grade, to the nearest integer, for a student with a test grade of 68.
Homework Grade (x) Test Grade (y)
X | Y
88 | 90
55 | 55
89 | 91
85 | 88
61 | 52
76 | 76
76 | 81
61 | 59

Answers

Answer:

The homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

Step-by-step explanation:

The general form of the linear regression equation is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable = test grade

x = independent variable = homework grade

a = intercept

b = slope

Compute the value of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316[/tex]                [tex]b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195[/tex]

The linear regression equation that represents the set of data is:

[tex]y=-14.316+1.195x[/tex]

Compute the value of x for y = 68 as follows:

[tex]y=-14.316+1.195x[/tex]

[tex]68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69[/tex]

Thus, the homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :

y = 1.20x - 14.32

Predicted, x = 69

Using technology, the linear model can be obtained using either excel or a linear regression calculator.

Using a linear regression calculator which gives the linear equation in the form :

y = bx + c

y = 1.20x - 14.32

y = Test grade ; x = homework grade

Slope, b = 1.20 ; intercept, c = - 14.32

Using the model equation obtained :

Test grade, y = 68

Homework grade, x

y = 1.20x - 14.32

68 = 1.20x - 14.32

68 + 14.32 = 1.20x

82.32 = 1.20x

x = (82.32 ÷ 1.20)

x = 68.6

x = 69 (nearest integer)

Therefore, the estimated homework grade for a test score of 68 is 69

Learn more : https://brainly.com/question/18405415

Please answer CORRECTLY !!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

h(n) = -2n -13

Step-by-step explanation:

m+1 = -2(n+6)

Distribute

m+1 = -2n-12

We want to solve for m, as we want a function of n

m +1-1 = -2n-12-1

m = -2n-13

h(n) = -2n -13

PLEASE HELPPPP!!!!!!

Answers

Answer:

C = 3 √ 5

(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5

B √ 9*5 is true but not simplified.

We need to find a square numbers that divide into 45

We find 9

And show a * b = c

c= 45

so a * b = 9 * 5  = 3√ 5 is how we arrange this to simplify.

Step-by-step explanation:

The list is

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

We see there are 10 perfect squares 1-100

5 are 1-25

then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.

Mary receives a $10,000 inheritance on her 21st birthday. She pays $500.00 a month for rent; owes

$9,000.00 on her car loan with an interest rate of 5%; and owes $50,000 in student loan debt with a fixed

interest rate of 3%. She has a Visa Card with a balance of $600 at 16% interest.

Which is the wisest choice for Mary?

A

Use it all to pay down the student loan deb

B

Put it all in a savings account that has an interest rate of 2%.

C

Use most of it to pay off the $600 credit card and

a

D

Use it all to pay rent in advance.

Answers

Answer:

C

Use most of it to pay off the $600 credit card and a

a

Step-by-step explanation:

Base on the scenario been described in the question, the wisest thing Mary should do after receiving $10,000 inheritance on her 21st birthday is to Use most of it to pay off the $600 credit card and Use it all to pay down the student loan debt

find the area of the trapazoid

Answers

Answer:

7.5 square units

Step-by-step explanation:

Since one of the  bases of the trapezoid is 4 units long and the other is 1 unit long, while the height is 3, the area of the trapezoid is (4+1)/2 * 3=2.5*3=7.5. Hope this helps!

Answer:

13.5

Step-by-step explanation:

Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change) does this represent?

Answers

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

PLS HELP!!!!!
An initial population of 298 quail increases at an annual rate of 8%. Write an exponential function to model the quail population.

What will the approximate population be after 3 years?

Answers

Answer:

375 as the whole number and 375.4 as a decimal.

Step-by-step explanation:

number = 298(1.08)^n , where n is the number of years

so when n = 3

population = 298(1.08)^3 = appr 375

The approximate population be after 3 years is  375 as the whole number and 375.4 as a decimal.

Given that,

An initial population of 298 quail increases at an annual rate of 8%.

Based on the above information, the calculation is as follows:

[tex]= 298(1.08)^n[/tex]

Here n is the number of years

n = 3

So,

[tex]= 298(1.08)^3[/tex]

= 375

Learn more: https://brainly.com/question/24908711?referrer=searchResults

Kay leaves a $6 tip for a $40 bill. What percent tip did kay leave?

Answers

Answer:

15% tip

Step-by-step explanation:

6/40= 0.15= 15%

Answer:

15% tip.

Step-by-step explanation:

you can divide $6 by $40. this will give you .15 or 15%.

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