Vance used the associative property to write (4.5 m + StartFraction 7 Over 8 EndFraction) minus 9 as the equivalent expression 4.5 m (StartFraction 7 Over 8 EndFraction minus 9). Did Vance apply the associative property correctly? Why or why not?
Yes, the terms with variables should be written first.
Yes, the terms can be regrouped and still be equivalent.
No, the order of the terms should have been changed.
No, the addition symbol was dropped in the second expression.

Answers

Answer 1

Answer: D

Step-by-step explanation:

Answer 2

No, the addition symbol was dropped in the second expression is not correct.

What is Expression?

An expression is combination of variables, numbers and operators.

No, Vance did not apply the associative property correctly.

The associative property states that the grouping of terms in an expression can be changed without affecting the value of the expression.

However, in this case, Vance changed the order of the terms, but did not actually group them in a different way.

Additionally, Vance dropped the subtraction symbol in the second expression, which is incorrect.

The correct equivalent expression using the associative property would be:

(4.5 m + 7/8) - 9 = 4.5 m + (7/8 - 9)

From there, we could simplify the expression further, if needed.

Hence, No, the addition symbol was dropped in the second expression.

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Related Questions

Select a symbol to compare the numbers.
7/10
0.07

Answers

Answer:

7/10>0.07

Step-by-step explanation:

You can turn 7/10 into decimal and its 0.7.

0.7 is greater than 0.07 so you would put a > sign

so the answer is 7/10>0.07

pls mark brainliest

a window washer clean 38 windows in 2 hours at this rate how many windows did he clean in 7 hours?​

Answers

Answer:

133 windows

Step-by-step explanation:

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th
has the same base and height as the cone?

Answers

Answer:

The volume of the cylinder is 900 cubic inches

Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

[tex]V_1 = 300in^3[/tex]

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is calculated as:

[tex]V_2 = \pi r^2h[/tex]

Since, the cone and cylinder have the same dimensions, we can substitute [tex]\pi r^2h[/tex] for [tex]V_2[/tex] in [tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} * V_2[/tex]

Multiply both sides by 3

[tex]3 * V_1 = \frac{1}{3} * V_2 * 3[/tex]

[tex]3 * V_1 = V_2[/tex]

[tex]V_2 = 3 * V_1[/tex]

Substitute [tex]300in^3[/tex] for [tex]V_1[/tex]

[tex]V_2 = 3 * 300in^3[/tex]

[tex]V_2 = 900in^3[/tex]

Hence, the volume of the cylinder is 900 cubic inches

Find the quotient:
7/8

Answers

Answer:

c.) 2 1/3

Step-by-step explanation:

i know

Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Answers

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]

A birdbath is filled to the top. On Day 1, the volume of water in the bowl decreases by 7/8 cup. On Day 2, the volume in the bowl decreases by 3/4 cup. What number represents the total change in the volume of water in the bowl after two days? Write your answer as a mixed number.

Answers

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

Fill in the table using this function rule.
y = 4+4x
X Y
2
3
4
10
Fill in the y area

Answers

12, 16, 20, 44

Just substitute the number on the x side of the table for x in the equation and solve to get the y value.

The completed table of Y values using the function rule y = 4 + 4x is as follows:

X     Y

2     12

3     16

4     20

10    44

To fill in the Y values using the function rule y = 4 + 4x, we substitute the given X values into the equation and solve for Y.

When the value of X = 2:

4 + 4(2) = 4 + 8 = 12

When the value of X = 3:

4 + 4(3) = 4 + 12 = 16

When the value of X = 4:

4 + 4(4) = 4 + 16 = 20

When the value of X = 10:

4 + 4(10) = 4 + 40 = 44

The completed table is as follows:

X     Y

2     12

3     16

4     20

10    44

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Write 32 +24 as a product of two factors using the gcf and the distributive property

Answers

Answer:

4 * 14

Step-by-step explanation:

Given

32 + 24

Required

Write as a product of two factors

First, we need to get the GCF of 32 and 24

The factors of 32 and 24 are:

[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]

[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]

The GCF (greatest common factor) is 8

So, the expression 32 + 24 can be rewritten as:

[tex]32 + 24= 4(8 + 6)[/tex]

Add 8 + 6

[tex]32 + 24= 4(14)[/tex]

[tex]32 + 24= 4 * 14[/tex]

Hence,

32 + 24 can be rewritten as 4 * 14

Answer:

it is 8 (4+3) !!!! I just did the question! :)

Step-by-step explanation:

22 What is the circumference of the circle? Use 7 for yr. 35 cm 44 cm 55 cm​

Answers

Answer:

B) 55 cm

Step-by-step explanation:

it’s correct from EDGE

Abu donated 10% of his savings to build a mosque and gave 30% of the rest of his savings to his son. What percentage of his savings has he remaining ?

(A) 27%
(B) 37%
(C) 60%.
(D) 63%

Answers

The answer is C 60%
10+30=40
100-40=60

find the value of x and the measure of MNW

Answers

Answer:

VALUE OF X:

3x-13+61 = 90

3x+48 = 90

3x = 42

x = 14

MEASURE OF <MNQ:

3x-13

= 3(14)-13

= 42-13

= 29

12k-15=35+2k

answer pleasseeeeeeeee thank youu!!

Answers

Answer:

K=5

Step-by-step explanation:

12k-15=35+2k

12k=50+2k

10k=50

k=5

Answer:

[tex]k = 5[/tex]

Step-by-step explanation:

[tex]12k - 15 = 35 + 2k[/tex]

Our goal is to isolate k

[tex]12k - 15 = 35 + 2k\\\;\;\;\;+15 \;\;\;\;\;\;\; +15[/tex]

[tex]12k = 50 + 2k\\-2k \;\;\;\;\;\;\;\; -2k[/tex]

[tex]10k = 50[/tex]

Now we have k isolated to one side. Our final step is to have k be just k, no coefficient. We can do this by dividing each side by the coefficient.

[tex]\large\frac{10k}{10} = \frac{50}{10} \\\\10k\;\div\;10 = k\\50\;\div\;10 = 5\\[/tex]

[tex]\large\boxed {k \;=\;5}[/tex]

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\ Enthusiast[/tex]

A biking track has a length of 3168 feet (ft). How long is this in miles (mi)?

First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Answers

Answer:

0.6 miles

Step-by-step explanation:

Given that,

A biking track has a length of 3168 feet (ft).

We need to find the distance in miles.

We know that, 1 mile = 5280 foot

1 feet = (1/5280) mile

Now, we can find the distance in miles by multiplying 3168 by (1/5280).

[tex]d=3168 \times \dfrac{1}{5280}\\\\=0.6\ \text{miles}[/tex]

So, the distance covered is 0.6 miles.

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2 + 9. a. Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Answers

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by [tex]K(x) = \dfrac{5x}{x^2+9}[/tex].

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

[tex]K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3[/tex]

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

An artist mixes yellow and blue paint to make the perfect shade of green. She uses 2 ounces of blue paint for every 7 ounces of yellow.If the mixing container only holds 40 ounces of paint, what is the most green paint the artist can make, and what recipe should she use? 20 points please help me

Answers

Answer:

she could only make 4 of green paint

The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below.

A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.

Which expression is shown by the model?

Answers

Answer :

D - 28 + 14 = 7(4+2)

how do you write the algebraic notation when the scale factor is 3

Answers

Answer:(2 * 3, 1 * 3)

Step-by-step explanation:

Solve and explain the steps you would use in solving 2 step problems
PLEASE HELP ASAP

Answers

whatever you do to one side you must do to the other. also always use opposite operations for example: multiplication and division or subtraction and addition

Answer:

got deleted eh?

Step-by-step explanation:

Christen has to run around the rectangular soccer field during practice. The soccer field measures 60 meters
long by 45 meters wide.
How far did Christen run?

Answers

Answer:

210m

Step-by-step explanation:

60+60+45+45

120+90

210m

Help please as soon as possible :)))

Answers

Answer:

24m 10+3+3+2+6

Step-by-step explanation:

Answer:

i believe its 24m surface area

Step-by-step explanation:

sorry if wrong

5+ x2 – 7х


What is the answer?

Answers

Answer:

[tex]-5x+5[/tex]

Step-by-step explanation:

[tex]5+2x-7x[/tex]

Combine like terms:

[tex]2x-7x+5\\[/tex]

which is

[tex]-5x+5[/tex]

Hope this helps :D

My Answers:

I think the equation you typed may have some typo error but:

If the problem is 5+2x-7x, then the answers would be:Factor the expression= 5(1-x)Simplify the expression= 5-5xBut if the expression you want to ask is 5+x⋅2-7x, the answer is:Simplify the expression= 5-5x

Hope this helps and if you could mark me as brainliest. Thanks!

in how many distinct ways can the letters in philosophy be arranged

Answers

Answer:

3 Letters Word: 6 Distinct Ways: 4 Letters Word: 24 Distinct Ways: 5 Letters Word: 120 Distinct Ways: 6 Letters Word: 720 Distinct Ways: 7 Letters Word: 5,040 Distinct Ways: 8 Letters Word: 40,320 Distinct Ways: 9 Letters Word: 362,880 Distinct Ways: 10 Letters Word: 3,628,800 Distinct Ways

Step-by-step explanation:

The number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

What is a factorial?

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

As we can see that the word 'PHILOSOPHY' has 10 letters therefore, the letters of the word can be arranged in the 10! manner, but it contains the letter P, H and O twice therefore, there will be words that will look the same and are counted twice. Thus, the number of ways the word PHILOSOPHY can be arranged are,

[tex]\text{Number of ways} = \dfrac{10!}{2! \times 2! \times 2!} = 453,600[/tex]

Hence, the number of ways in which the word 'PHILOSOPHY' can be arranged is 453,600.

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Factorise fully 2x+8

Answers

Answer:

2(x+4)

Step-by-step explanation:

To factor you have to divide both terms by the greatest common factor, which in this case is 2. Using distribution you can check your answer.

Answer: 2(x + 4)

Explanation: If you're asked to factor a polynomial,

the first thing you want to look for is the greatest common factor

for the terms that are involved.

The greatest common factor of 2x and 8 is 2.

So a 2 can factor out.

Inside the parenthses, we have each term divided by

the 2 that factored out of the polynomial.

So we have 2(x + 4).

8.
Say that you (or your parents) are purchasing a house for $235,000 and have an excellent credit score. If you pay $1,678.93 at the end of
the first month, how much is applied to the principal balance?
Credit
Excellent
Good
Average
Fair
Poor
Secured
APR (%)
4.75
5.00
5.85
6.40
7.50
Unsecured
APR (%)
5.50
5.90
6.75
7.25
8.40
$616.29
$685.25
$748.72
$721.19

Answers

Answer:

The correct answer is 748.72

Step-by-step explanation:

$748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

What is principal amount?

The loan amount that the lender gave to the borrower is referred to as the primary amount. Also, it is the factor the lender uses to calculate interest.

Please be aware that the amount you pay toward your loan's principal is without the interest that is charged on that amount. Your lender determines how much interest customers will pay over a specific length of time based on the amount still owing. The principle amount is simply the amount you owe their lender before interest.

principal amount =  4.75% of  $1,678.93

                           =  4.75% ×  $1,678.93

                           = $748.72

Therefore, $748.72 is applied to the principal balance if you pay $1,678.93 at the end of the first month.

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A restaurant offers $12 dinner specials that has 6 choices for an appetizer, 10 choices for an entree, and 3 choices for dessert. How many different meals

Answers

Answer:

19

Step-by-step explanation:

What proportion results in the equation 9m=10n?

Answers

Answer:

the 2 nd one 9/m=10/n

Step-by-step explanation:

Charlie's utility function is U(A, B) = AB, where A and B are the numbers of apples and bananas, respectively, that he consumes. When Charlie is consuming 20 apples and 80 bananas, if we put apples on the horizontal axis and bananas on the vertical axis, the slope of his indifference curve at his current consumption is:____________a. -8.b. -1/4.c. -20.d. -4.e. -1/8.

Answers

Answer:

D. -4

Step-by-step explanation:

The formula for calculating the slope of his indifference curve at his current consumption is expressed as:

M = -∆y/∆x

∆y is the change in y axis

∆x is the change in x axis

Since apples are put in the horizontal axis, ∆x = 20

Since banana are on the y axis, then ∆y = 80

Substituting the given values into the formula

M = -80/20

M = -8/2

M = -4

Hence the slope of his indifference curve at his current consumption is -4.

Option D is correct.

I’m not very good at math, anyone can answe this plz and thanks

Answers

Answer:

B

Step-by-step explanation:

Answer:

If it is asking for the total of both then it should be 6 1/4

Step-by-step explanation:

I added 4 3/4 and 1 1/2

Please help me no one answers my last few questions
#6

Answers

Answer:

[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]

To find: [tex][f(x)]^2-g(x)[/tex]

First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function

Squaring the first function

[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]

Now subtracting g(x) from [f(x)]^2

[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]

Combining alike terms

[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Hence,

Subtracting g(x) from the square of f(x) gives us:

[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error?​

Answers

Answer:

David make his first error at Step 3

Step-by-step explanation:

We need to determine the error David made when finding the product of (-2.5)(-8.3)

He did the following steps

Step 1: (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2: = (–8.3)(–2) + (–8.3)(–0.5)

Step 3: = (–16.6) + (–4.15)

Step 4: = –20.75

David made a mistake in Step 3

When we multiply (-1) with (-1) we get + instead of - sign. The correct step 3 would be:

Step 3: =(16.6)(4.15)

Step 4: =20.75

So, David make his first error at Step 3

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