Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. His work is shown below. Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 66 + 36 = 3 (22 + 12)

Answers

Answer 1

Step-by-step explanation:

Factors of 66 = 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

GCF (greatest common factor) = 6

Gary applied the distributive property using the greatest common factor to determine the expression that is equivalent to 66 + 36. He wrote it as :

66 + 36 = 3 (22 + 12)

But he is wrong. He multiplied (22+12) by 3 which is wrong. The correct step should be :

66 + 36 = 6 (11+ 6)

= 6(17)

= 102

Hence, this is the required solution.


Related Questions

Fine the perimeter AND area of the composite shape.

Answers

The perimeter is 36 and the area is 46

Kerry made fruit punch for the party. She made 62 quarts of fruit punch. She divided the punch into 8 containers equally. How much punch did each container hold?

Answers

Answer:

7 quarts of punch

Step-by-step explanation:

62/8 is 7.75,

determine 3,000,000,000 is how may times the value of 15,000,000 in standard form and scientific notation.

Answers

Answer:

200 times and 2x10^2

Step-by-step explanation:

I hope this helps ( ps love the Killua Profile pic !)

a- b for
for a= (-7) and b = 30

Answers

Answer:

-37

Step-by-step explanation:

-7-30

=-37

You are adding the negatives therefore, you will get a larger number of negatives.

Answer = -37

you would have to plug the numbers given.

“A” would now be (-7) “B” would now be (30) = (-7)-30 = -37

reason it equals a negative is because a positive & a negative = a negative

find the slope of the line

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define points

(-2, 2)

(0, 6)

Step 2: Find slope

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{6-2}{0-(-2)}[/tex]

[tex]m=\frac{4}{0+2}[/tex]

[tex]m=\frac{4}{2}[/tex]

[tex]m=2[/tex]

The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

Evaluate the expression when n= -2
5n+30

Answers

Answer:

20

Step-by-step explanation:

5(-2)+30 = (-10)+30 = 20

Answer: 20

Explanation:
5(-2)+30 = -10+30 = 20

X squared plus X equals six solve for X as if it’s a positive number

Answers

for the positive answer i got x=2

I need help finding a,b, and c?

Answers

Answer:

is a b and c supposed to represent angles or lengths?

Step-by-step explanation:

please answers soon and answer correctly.

Answers

C .....Hope I helped .

Is a continuous graph a graph with connected lines and curves? PLEASE help! WILL GIVE BRAINLIEST

Answers

Answer:

That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)

Step-by-step explanation:

I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?

Answers

Answer:

your numnber is 15

Step-by-step explanation:

3x-3=n

nx=90

nx=90

(3x-3)x=90

3x^2-3x=90

x=6

3x-3=n

3(6)-3=n

18-3=n

15=n

A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h, at time t seconds after
launch is given by the equation h(t) = -16t^2 + 128t +12 . How long will it
take the rocket to reach the ground?

Answers

Answer:

4 mins

Step-by-step explanation:

The time taken by the rocket to reach the ground is 8 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The toy rocket is launched from a platform

The height of the platform = 12 feet

The initial velocity of the rocket = 128 feet / second

Let the height of the launch be = h

Let the time taken by the rocket be = t

The height after the launch after t seconds is given by the equation

h ( t ) = -16t² + 128t + 12

Now , for the rocket to reach the ground , the equation will be

h ( t ) = -16t² + 128t

Since , it is launched from the 12 foot platform , the equation will be

h ( t ) = -16t² + 128t

The height of the rocket on reaching the ground h ( t ) = 0

Substituting the value of h ( t ) in the equation , we get

h ( t ) = -16t² + 128t

0 = -16t² + 128t

16t² - 128t = 0

16t ( t - 8 ) = 0

t - 8 = 0

Adding 8 on both sides , we get

t = 8 seconds

Hence , the time taken by the rocket to reach the ground is 8 seconds

To learn more about equations click :

https://brainly.com/question/10413253

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six less than seven times a numer is equal to -20

Answers

Answer:

-8.85

Step-by-step explanation:

-20 divided by 7

minus 6=-8.85

sry if that make sense

—8.85 because it makes sense

⎧ ​ y=2x+3 y=−3x+3 ​

Answers

what exactly do u want us to do?

A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18

Answers

Answer:

C

Step-by-step explanation:

Ellie bought cookies and cupcakes from Publix for $102.44. If she spent $36.44 on cookies and the cupcakes are $11 per box, which equation represents this situation?
A)11x - 36.44 = 102.44
B)102.44x + 11 = 36.44
C)11x + 36,44 = 10244
D)102.44 + 36.44x = 11

Answers

Answer:

C

Step-by-step explanation:

She spent $102.44 in total.

She spent $36.44 on cookies.

And $11 per box of cupcakes.

This means that she knows the exact amount she spent on cookies and in total so now to find out how much she spent on cupcakes, she subtracts $36.44 from $102.44($66) and then divides 66 by 11(6). So if you needed the problem solved x=6.

I’ll give brainliest I need help

Answers

Answer:

1, -1, -3, 3

Step-by-step explanation:

f(x) = 2x-1

f(1)=2*1-1 = 2-1 = 1

f(0) = 2*0 - 1 = -1

f(-1) = 2* -1 -1 = -2-1 = -3

f(2) = 2 * 2 -1 = 4-1 =3

Express 48 as a product of its primes.

Answers

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

thoughts on Larray's new song? anyone??

Answers

Answer:

Step-by-step explanation:

EST SONG EVER ITS ALMOST AT 40 MIL VEIWS SO COOL

a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?

Answers

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.

What is the average speed?

Average speed is the total distance travelled per time. It is used to determine the total distance per time.

Average speed = total distance / total time

644 / 8 = 80.50 km/h.

To learn more about average speed, please check: https://brainly.com/question/21734785

Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line
as follows.

What was her Mistake?
She Mixed Up the slope and the y-intercept.

She got the sign of the slope wrong.

She git the sign of the y-intercept wrong.

She found reciprocals of the slope and the y-intercept.

ASAP Please Right Answer

Answers

Answer:

She got the sign of the slope wrong

Step-by-step explanation:

She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

Please mark brainliest if this helped you!

Answer:

she got the sign of slope wrong

Step-by-step explanation:

took test on edg

There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)

Answers

Answer:

196 students are going on the field trip

Step-by-step explanation:

Y = 98% * 200

Converting percent to decimal:

p = 98%/100 = 0.98

Y = 0.98 * 200

Y = 196

I hope this helps

Soren is flying a kite on the beach the String forms a 45 angle with the ground if he has let our 16 made of line how high above the ground is the kite

Answers

Answer:

Hope the picture helps

Step-by-step explanation:

You make an initial deposit of $2,500 in an account that offers 6% simple interest per year. How much will be in the account after 4 years?

Enter the correct answer in the box.

Answers

Answer:

3100

Step-by-step explanation:

3100

The amount of money in the account that he has after 4 years will be $3100.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

A = P + (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

You make a $2,500 initial deposit into an account that pays 6% simple interest per year.

Then the amount of money in the account that he has after 4 years will be given as,

A = 2500 + (2500 x 6 x 4)/100

A = 2500 + 600

A = $3100

The amount of money in the account that he has after 4 years will be $3100.

More about the simple interest link is given below.

https://brainly.com/question/2793278

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Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?

Answers

To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9

Answer:

Step-by-step explanation:

find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer

an equivalent name for 96??

Answers

Answer:

Ninety-six

Step-by-step explanation:

An equivalent name for 96 is ninety-six. Word form is equivalent to number form. I hope I helped!

A________is a_________ in which a figure is enlarged or reduced

Answers

Answer:

Center of Dilation

Step-by-step explanation:

in a dilation, the fixed point about which the figure is enlarged or reduced

pls help me with this i attached a photo of the question thanks!!

Answers

Answer:

-232

Step-by-step explanation:

the salt flats have an elevation of 50 feet greater than -282, so add 50 to -282 and you get -232

HELP WILL MARK AS BRAINLIEST! 11 POINTS

Answers

Answer:

u=50/11

Step-by-step explanation:

cross multiply and divide on both sides

Answer:

u = [tex]\frac{50}{11}[/tex]

Step-by-step explanation:

Given

[tex]\frac{u}{10}[/tex] = [tex]\frac{5}{11}[/tex] ( cross- multiply )

11u = 50 ( divide both sides by 11 )

u = [tex]\frac{50}{11}[/tex]

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