Which of the following best shows the commutative property of addition?

4 + 5 = 5 + 4

4 + 5 = 9

4 + 5 = 4 - (-5)

4 + 5 = 4 + (2 + 3)

Answers

Answer 1

Answer:

it is A

Step-by-step explanation:

No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4


Related Questions

what is -8 * -10/-8(-10​

Answers

-8*-10/-8*-10

= 80/80

=1

So, 1 is the correct answer. (:

What is the area of polygon PQRS?

Answers

Where are the answers?

Step-by-step explanation:

1) starting with the rectangle 6*15 which is 90 (that’s the area for it)

2) take 8*17 for the triangle which is 136 and divide it by two 136/2 and you’ll get 68 (that’s the second area)

3) add them together to get the full area 68+90=158

Somebody pls help me!!!

Answers

Answer:  60 units

=====================================================

Explanation:

The similar red marks on the angles tell us those angles are congruent. So they are the same measure.

The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.

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

Solve for x

AC = BC

5x-8 = 2x+7 .... substitution

5x-8-2x = 7 ... subtract 2x from both sides

5x-2x = 7+8 ..... add 8 to both sides

3x = 15

x = 15/3 ... divide both sides by 3

x = 5

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

Use that x value to compute each side length

AB = 3x+11 = 3*5+11 = 15+11 = 26

BC = 2x+7 = 2*5+7 = 10+7 = 17

CA = 5x-8 = 5*5-8 = 25-8 = 17

Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.

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

The last step is to add up all the side lengths to get the perimeter

perimeter of triangle = sum of all the sides

perimeter of triangle = side1 + side2 + side3

perimeter of triangle ABC = AB + BC + CA

perimeter of triangle ABC = 26 + 17 + 17

perimeter of triangle ABC = 60 units

Answer:

Step-by-step explanation:

Remark

The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.

Equation

5x - 8 = 2x + 7                 Add 8 to both sides

Solution

5x - 8 + 8 = 2x + 7 + 8   Combine

5x = 2x + 15                   Subtract 2x from both sides

5x-2x = 2x-2x + 15        Combine

3x = 15                           Divide by 3

x = 5

Side length

5x - 8 = 5*5 - 8 = 25 - 8

5x - 8 = 17

3x + 11 = 3*5 + 11 = 15 + 11 = 26

Perimeter

17

17

26    Add

Perimeter = 60

What is the answer to r-5r-6s+8s-15

Answers

Answer:

-4r+2s-15

Step-by-step explanation:

collect like terms

r-5r= -4r

-6s+8s= 2s

therefore -4r+2s-15

The number 7.2 can be classified as:
a. real and rational
b. real and irrational
c. real and integer
d. real and whole

Answers

Answer:
A

Explanation:
It’s a real number and 0.2 is not irrational

A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.

Let x = length of a short side
Let y = length of a long side

The system of equations can be used to represent the situation.

y = x + 2
2x + 3y = 36

What is the length of one of the shorter congruent sides?

Answers

Answer:

Length of one of the shorter congruent side is: 6 cm

Step-by-step explanation:

In order to find the length of congruent sides we have to solve the system of equations

Given systems of equation is:

y = x + 2

2x + 3y = 36

Putting y = x+2 in second equation

[tex]2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6[/tex]

As we know that x represents the shorter side, the length of short side is: 6 cm

Hence,

Length of one of the shorter congruent side is: 6 cm

What is ½ + ⅙ rewritten with a common denominator?

Answers

Answer:

4/6

Step-by-step explanation:

look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form

10.187 electric poles were fixed along a road at a regular interval of 20m. What was the total
distance fixed with the poles in km?

Answers

Answer:

203.74

Step-by-step explanation:

10.187x20=203.74m

203.74 = 0.20374 kilometres

One car averages 18 miles per gallon while another averages 32 miles per gallon. If both cars travel 14,400 miles per year, how many more gallons does the first car use?

A.288
B.350
C.450
D.512
E.800

Answers

B.
Because 14,000/18=800, 14,400/32=450
800-450=350

All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.

Answers

You can use the equation 6c= 99

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

6 miles in 2 hours

0ne hour will be 3 miles.

We have,

6 tickets = $99

Divide both sides by 6.

1 ticket = 99/6

1 ticket = $16.5

The multiplication equation to determine the cost C in dollars of each ticket:

$C = 99 x 1/6

Thus,

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

Learn more about unit rates here:

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Just need the explain your answer part. Can anyone help seventh grade math please DESPRATE

Answers

9514 1404 393

Answer:

  140, 35, 260/35, 7.43, 8

Step-by-step explanation:

The last section is just a summary of the preceding sections, a short description of the problem and how you worked it.

She sells the jackets for 140% of $25, or $35. 260/35 = 7.43 She can only sell a whole number of jackets, so she needs to sell 8.


What is the value of x in the equation 6(x +11)= -300?

Answers

Answer:

-61

Step-by-step explanation:

We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.

Find the volume of the potato chip container. Use 3.14 for 7. Round to the nearest tenth place,
LZ
Potato
Chips
20 cm
Ranch
7 cm

Answers

Step-by-step explanation:

[tex]v \: cylinder = \pi \times r {}^{2} \times h \\ 3.14 \times 3.5 {}^{2} \times 20 \\ 3.14 \times 12.25 \times 20 \\ = 769.3[/tex]

you should round to nearest tenth place...I dont know...hope it helps

An international company has 21,900 employees in one country. If this represents 27.2% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

21,900 / 0.272  =  80,514.7

   

if csc Ф = 4/3, what is the value of sin Ф

Answers

Answer:

sinθ = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the trigonometric identity

sin x = [tex]\frac{1}{cscx}[/tex] , then

sin

θ = [tex]\frac{1}{\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]

there are 88 girls and 96 boys in the sixth-grade what is the rate of girls to boys

A- 88 girls for every 96 boys
B- i girl for every 1.09 boys
C- 44 girls for every 48 boys
D- 11 girls for every 12 boys

Answers

Answer:

There are 11 Girls for every 12 Boys in the sixth-grade class

Step-by-step explanation:

For this problem, you want to take the original rate which is 88 girls / 96 boys.

Once you have that number, you want to divide both sides by 8.

88/96 = 11/12

The correct option is D. 11 girls for every 12 boys.

We need to determine the ratio of the number of girls to the number of boys.

Given:

Number of girls = 88

Number of boys = 96

The ratio of girls to boys can be represented as "girls : boys."

To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD). In this case, the GCD of 88 and 96 is 8.

Dividing both numbers by 8, we get:

Number of girls (after dividing) = 88 ÷ 8 = 11

Number of boys (after dividing) = 96 ÷ 8 = 12

So, the simplified ratio of girls to boys is 11 : 12.

Now, let's check which option matches the simplified ratio:

A. 88 girls for every 96 boys (Does not match)

B. 1 girl for every 1.09 boys (Does not match)

C. 44 girls for every 48 boys (Does not match)

D. 11 girls for every 12 boys (Matches)

The correct option is D. 11 girls for every 12 boys.

Learn more about Ratios here:

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Please help me ✨✨✨✨✨

Answers

49 would be the correct answer

Y = [ ? ]

PLEASE HELP

Answers

Answer:

120

Step-by-step explanation:

First, you want to find the third angle

to do that you 180-33+87=60

x=60

since x and y are on a straight line, to find y would be 180-x

180-60=120

y=120

pls help me figure this out!!! quick!!​

Answers

It’s 35°

The angle is a right angle which is 90°
So basically, just do 90 minus the given degree, which equals to 35°
90-55=35

Hope this helps! If any questions, feel free to ask! :D

Answer:

35 degrees

Step-by-step explanation:

I think that's a right angle? If so, right angles always are 90 degrees, and 90 - 55 = 35.

Which of the tables represents a function? (5 points)


Table A

Inputs

Output

3

1

3

4

2

3

Table B

Input

Output

2

7

5

6

2

9

Table C

Input

Output

1

5

7

2

7

3

Table D

Input

Output

3

4

1

5

8

5

Group of answer choices


Table C


Table D


Table A


Table B

Answers

Answer:

It's table D

Step-by-step explanation:

I just took the test.

Answer:

The answer is table D!

Step-by-step explanation:

Archie Baines
Arthur is organising his collection
of DVDs. He has 56 altogether.
The ratio of comedy films to
action to horror is 2 : 7:5

Answers

Step-by-step explanation:

x - is the amount of DVDs

so 2x + 5x + 7x = 56

14x = 56

x = 4

so comedy is 2x4 = 8; action 7x4 = 28 and horror is 5x4 = 20 DVDs

how many solutions can be found by the equation 3y+5-2y=11?

Answers

We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).

3y + 5 − 2y = 11
y + 5 = 11
y = 6

This confirms that there is only 1 solution.

Annual Rainfall of Cities
How many intervals could represent an
annual rainfall of 30 in -36 in?
A) 2
B)4
C)3
D) 5

Annual Rainfall (in.)
OA
OB
Oc

Answers

Answer:

B: 4

Step-by-step explanation:

The graph shows that there is 4 units between the numbers 30-36.

Hope this helps!

I need help for the 5th time

Answers

Answer:

3.2t - 2.4

Step-by-step explanation:

Given

- 3.6 - 1.9t + 1.2 + 5.1t ← collect like terms

= (- 1.9t + 5.1t) + (- 3.6 + 1.2)

= 3.2t + (- 2.4)

= 3.2t - 2.4

Need help!! Please!! Offering 20 points!

Answers

Answer:i

Step-by-step explanation:

I think it’s A. 18
I’m sorry if it’s wrong

Rent-A-Car rents compact cars for a fixed amount per day plus a fixed amount of each mile driven. Ben rented a car for 6 days, drove it 550 miles, and spent $337. Lisa rented the same car for 3 days, drove it 350 miles, and spent $185. What is the charge per day and per mile to rent that car?

Answers

Answer:

$36 per day plus $0.22 per mile

Step-by-step explanation:

For Ben,

Total miles driven = 550 miles

Number of days = 6 days

Total cost = $337

For Lisa

Total miles driven = 350 miles

Number of days = 3 days

Total cost = $185

Solving Simultaneously;

6d + 550m = 337

3d + 350 m = 185

Multiply equation 2 by 2  we have

6d + 550m = 337   ----1

6d + 700m = 370------2

So;

Subtracting equation  1 from equation 2

150m = 33

m = 33/150

m = $0.22

Substitute m=0.22 into equation 1

6d + 550(0.22) = 337

6d + 121 = 337

6d = 337 - 121

6d = 216

d = 216/6

d = $36

Hence the charge is $36 per day plus $0.22 per mile

Which point (x,y) satisfies the given system of inequalities?
A. (3,-1)
B.(1,-6)
C. (-3,-1)
D. (-1,-6)

Answers

The answer is C: (-3,-1)

To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you

Here is proof the answer is C :

y > x - 2

(lets plug in point C)

-1 > -3 - 2

solve

-1 > -5 ?

Yes this statement is true- onto the next inequalitity!

y > 2x + 2

-1 > 2(-3) + 2

solve

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Know we know answer c (-3,-1) is the right answer!

i have no idea what to do (dont mind the extra woork ik its wrong)

Answers

Answer:

A) Scale factor from A to B is 2

B) Length of left side is 3 and length of right side is 5.

Step-by-step explanation:

A) Length of the top side is 2.5 in A and is 5 in polygon B. 5/2.5 = 2, therefore scale factor is 2.

B) Because the scale factor is 2, each of the sides double while the angles stay the same. Therefore, the length of the side on the left is 3 and length of the side on the right is 5.

1.5 x 2 = 3

2.5 x 2 = 5

Part (a)

Divide the upper horizontal lengths of the two figures:

5/2.5 = 2

The scale factor is 2. This means figure B has side lengths twice as long compared to figure A.

Answer: Scale factor = 2

=======================================================

Part (b)

The missing side length seems to be the diagonal side of figure B. I'm not sure what's going on with the vertical side 89.4 as that should be 3 instead (since 1.5*2 = 3).

The diagonal side is 5 units long since we double 2.5 to get 5.

Answers:

vertical side = 3

diagonal side = 5

What is the value of a+b+c explain your reasoning

Answers

Answer:

im not sure but maybe d

Step-by-step explanation:

= fbecause a+b= e and then you add c to that so c+e=f

Is the following fraction terminating or repeating? *
-3
__
7

Terminating
Repeating

Answers

Answer:

repeating -0.428571.....

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