write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer 1

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

Answer 2

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

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Related Questions

can someone help me please ill mark brainliest

Answers

Answer:

5/17 = x/12

Using crossing multiplication, the answer is 3.5

Step-by-step explanation:

Rewrite the equation as 17x = 60

x = 60/17

x = 3.5 (rounded to the nearest 10th)

Good luck!

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

Answers

94°

KHI and KHE are supplementary angles, meaning they add up to equal 180. 180 - 86 = 94

Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5

Answers

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

Two linear equation has their solutions on the points where they intersect each other.

The solution of the given system of equations is:

x = 2, y = 3.

How to determine the solution of system of linear equations graphically?

Each linear equation represents a straight line.

If both the given lines intersect at one point, then that point's coordinate is the solution of the given system of the equations.

If both the given lines are parallel, then there is no intersection and thus no solution.

If both the lines are coincident(that is, lying over each other fully), then there are infinite points of intersection, as they touch each other on infinite points, and thus infinite solutions to the given system of equations exist.

Using method of substitution to solve the system of equations:

[tex]y = 3x-3\\ x+y = 5 [/tex]

Substituting the value of y from first equation in the second equation, we get:

[tex]x + y = 5\\ x + (3x-3) = 5\\ x+3x = 5+3\\ 4x = 8 \\ x = 2\\ [/tex]

Thus, putting this value of x in first equation, we get:

[tex]y = 3x - 3\\ y = 3 \times 2 - 3\\ y = 6-3\\ y = 3[/tex]

Thus, the system has one solution and it is x = 2, y = 3.

Using graphing, we can see that point of intersection is (x,y) = (2,3)

Learn more about solutions of system of linear equations:

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A car travels 62 miles per hour. At this rate, how far will the car travel in 6 hours?​

Answers

Answer:

372 miles

Step-by-step explanation:

You need to multiply 62 and 6

Answer:

372

Step-by-step explanation:

just mulitple

i hope thi shelps

BRAINLIEST PLSSS

Alexa took a test and lost 3 points for each of the 7 questions she got wrong. She earned an additional 5 points for answering a bonus question correctly. How many points did Alexa receive or lose overall?

Answers

Answer:

Alexa lost 16 points overall

Step-by-step explanation:

To determine whether Alexa had a net receipt or loss of points, we will fine the total points received or lost, and find the difference:

points lost:

3 point for each of the 7 questions she answered wrong

lost point = 3 × 7 - 21 points

Points received:

5 points for answering a bonus question

point received = 5 point

The points lost (21) is greater than the points received (5), hence, there was a net loss. The net loss is calculated as follows:

points lost - points received

= 21 - 5 = 16

∴ Alexa lost 16 points overall

Which of the following pairs of points will create a horizontal line when connected?

A.(1, 1) and (1,−1)

B.(−1,−1) and (1, 1)

C.(−1, 1) and (1,−1)

D.(−1, 1) and (1, 1)

Answers

Answer:

D is the answer

Step-by-step explanation:

D is the answer because they don't go opposite ways on a graph (Ex: going higher and lower)

Answer:

D

Step-by-step explanation:

D is for Deeznuts

Which is a unit rate?
INS
80 miles in 4 hours

50 miles on 3 gallons
25 miles per 1 gallon
40 miles per 0 hours

Answers

Answer:

my answer for this question is 195

Step-by-step explanation:

In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.

Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?

5 cm
10 cm
20 cm
30 cm

Answers

Answer:

NS= 20

Step-by-step explanation:

4x / 3x-5 (2/1)

4x / 6x-10

-6x -6x

-2x / -10

X / 5

X=5

NS= 4x

NS= 4(5)

NS= 20

Answer:

c

Step-by-step explanation:

Jimmy walks to his school every morning. He leaves home everyday at the same time. And the school starts at the same time everyday at 8 am. If he walks at 40 meters per minute, he will reach his school 5 minutes late. If he walks at 60 meters per minute, he will reach his school 3 minutes before the bell rings.

Answers

Answer: The bell rins at 8:19 AM, and the distance between Jimmy's house and the school is 960 meters.

Step-by-step explanation:

Let's define the variables:

T = Number of minutes after 8 AM such that the school's bell sounds.

D = Distance between jimmy's house and the school, in meters

And remember the relation:

Distance = Speed*Time.

We know that:

"If he walks at 40 meters per minute, he will reach his school 5 minutes late."

D = (T + 5)*40

"If he walks at 60 meters per minute, he will reach his school 3 minutes before the bell rings."

D = (T - 3)*60

Then we have a system of equations:

D = (T + 5)*40

D = (T - 3)*60

We can take the quotient of these two equations and get:

D/D = ((T + 5)*40 )/((T - 3)*60)

1 = (4/6)*(T + 5)/(T - 3)

Now let's solve this for T.

6/4 = (T + 5)/(T - 3)

(6/4)*T - (6/4)*3 = T + 5

(6/4)*T - T = 5 + (6/4)*3

T*(2/4) = 5 + 18/4 = 5 + 9/2

T = (4/2)*(5 + 9/2) = 19

Then the bell sounds 19 minutes after 8AM, at 8:19 AM

And with this, we can find the distance D:

D = (T + 5)*40 = (19 + 5)*40 = 960

The distance between Jimmy's house and the school is 960 meters.


1) Janet and Miriam each bought a bicycle for $140.
A few months later they both sold it...
Janet sold hers for 30% less than the original price (what she paid for it)
Miriam sold hers for 25% less than the original price (what she paid for
it)
How much more money did Miriam get than Janet?

Answers

Answer:

$7

Step-by-step explanation:

JANET:

140 * 0.7 = 98

MIRIAM:

140 * 0.75 = 105

105-98=7

What is the simplified expression of the following expression?
7
OA.
37 x 7
64 x 7
314
611
OB
OC.
37 + 7
64 + 7
OD
349
628
Reset
Submit

Answers

Please mark as brainliest.

The simplified expression of the following expression is [tex](\dfrac{3^{49}}{6^{28}} )[/tex].

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Rewrite the equation as :

[tex](\dfrac{3^7}{6^4} )^7[/tex]

Multiply both by [tex](\dfrac{3^7}{6^4} )^7[/tex]:

[tex](\dfrac{3^{7 \times 7}}{6^{4 \times 7}} )[/tex]

Use the power rule to combine exponents:

[tex](\dfrac{3^{49}}{6^{28}} )[/tex]

The simplified expression of the following expression as;

[tex](\dfrac{3^{49}}{6^{28}} )[/tex]

To know more about an expression follow;

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A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?

Answers

Answer:

48 I think

Step-by-step explanation:

12+12+12+12=48

or 12 x 4=48

Answer:

48

Step-by-step explanation:

12+12+12+12 = 48

or

12x4=48

Two friends, Caleb and Ynez are both selling brownies for a class
fundraiser. They decide to advertise how much buying a certain number of
brownies will cost in two different ways. Create an equation for the cost, c,
of n-brownies for Caleb's pricing.

Answers

Answer:

B. 1.25n = c

Step-by-step explanation:

Take one of the points. 20 and $16.

It will look like this 20/16n = c

20/16 = 1.25

1.25n = c

Hope this helps ya! Keep smiling!

The required equation is 1.25n = c where the cost is c and n-brownies for Caleb's pricing. which is the correct answer would be an option (B).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Caleb and Ynez, two pals, are each selling brownies for a class fundraiser. They plan to publicize the price of a particular amount of brownies in two distinct ways.

We have been given that the graph

According to the given graph, we take two points 20 and $16.

Let the cost, c, and n-brownies for Caleb's pricing.

It will examine like this 20/16n = c

20/16 = 1.25

1.25n = c

Therefore, the required equation is 1.25n = c

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2nd try again please help

Answers

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Write an inequality for the graph.



A.x ≥ 3


B.x > 3


C.x ≤ 3

Answers

C. is the correct answer. hope this helps!

6 * 10^8 is how many times larger as 2 * 10^3

Answers

Answer:599998000Step-by-step explanation: their is your answer

In Lixue's garden, the green pepper plants grew 5 inches in 34 month. At this rate, how many feet can they grow in one month? (Let 5 inches = 512 feet)

Answers

Answer:

22/3 feet

Step-by-step explanation:

In Lixue's garden, the green pepper plants grew 5 inches in 3/4 month.

We need to find how many feet can they grow in one month.

Let 5 inches = 5 1/2 feet

It means,

The growth in 3/4 month = 5 inches = 11/2 feet

Growth in 1 month = [tex]\dfrac{\dfrac{11}{2}}{\dfrac{3}{4}}=\dfrac{22}{3}[/tex] feet

So, it will grow 22/3 feet in a month.

What are the solutions to this quadric equation? -2x^2 + x + 4 = 0

Answers

Answer:

(1-[tex]\sqrt{33}[/tex])/4 and (1+[tex]\sqrt{33}[/tex])/4

Step-by-step explanation:

-2x^2 + x + 4 = 0

use quadratic formula x= (-b±[tex]\sqrt{b^{2} -4ac}[/tex] ) / 2a

a=-2

b=1

c=4

x= (-1±[tex]\sqrt{1^{2} -4(-2)(4)}[/tex] ) / 2(-2)

x=(-1±[tex]\sqrt{33}[/tex] ) / -4

x=(1 -[tex]\sqrt{33}[/tex]) / 4 and (1 +[tex]\sqrt{33}[/tex]) / 4

Subtract 5x^2+8x-11 from 3x^2+8x-7

Answers

Answer: -2x^2+4

Explanation: First you’d need to rewrite the equation as (3x^2+8x-7)-(5x^2+8x-11). Then since you are subtracting, distribute the negative to the right side which will then give you -5x^2-8x+11 since you flip the signs. Then simply combined like terms. -5x^2 + 3x^2 is -2x^2. Then 8x-8x is 0 and lastly, +11-7 is 4. So in order, all together, your answer is -2x^2+4.

Liberty Center Middle School has 1,200 students. In Sophia’s class, 3 out of 4 students borrowed library books. Based on these results, how many students at the school would you expect to borrow library books?

Answers

Answer:

We expect 900 students to borrow library books

Step-by-step explanation:

Proportions

If two variables are proportional, then one of them can be obtained as the other times a fixed number.

If x and y are proportional, then:

y=k.x

Where k is the constant of proportionality

The value of k can be obtained by dividing y/x.

That division, also called ratio gives us the proportion to be applied to future calculations.

In Sophia's class, 3 out of 4 students borrowed library books.

This gives us a proportion ratio of 3/4.

If we apply that same proportion to the rest of the Liberty Center Middle School, with 1,200 students, then, we expect to have

3 / 4 * 1200 = 900 students borrowing library books.

We expect 900 students to borrow library books

Solve for x.

56x=15



Enter your answer in the box.

x =

Answers

Answer:

The answer is x= 15/56

Step-by-step explanation:

hope that helps you

56x=15

Divide both side by 56 to find the x.

56x/56=15/56

x=15/56

Your answer is 15/56

3. Susana is selling raffle tickets to fundraise for a new school computer suite. Each computer costs£279 and 37 will be needed in order to fill the suite.

a)Estimate how much money will she need altogher to purchase the computers?

Susana plans to sell each raffle ticket for £1.89.

b) Estimate how much tickets will she need to sell in order to buy all of the computers?

On Thursday, the day before the raffle, Susana had sold 4176 tickets.

c) Estimate how many more tickets she will need to sell in order to buy all of the computers​

Answers

Answer:

Each computer costs £279.

37 computers will be needed.

a)Estimate how much money will she need altogher to purchase the computers?

£279 · 37 = £10,323

b) Estimate how much tickets will she need to sell in order to buy all of the computers? Susana plans to sell each raffle ticket for £1.89.

£10,323/£1.89 = 5461.905 tickets.

c) On Thursday, the day before the raffle, Susana had sold 4176 tickets.  Estimate how many more tickets she will need to sell in order to buy all of the computers​.

5461.905 tickets - 4176 tickets = 1285.905 tickets ≈ 1286 tickets

Answer:

no answer but it says Estimate the other person found the exact amount not the estimate.

Step-by-step explanation:

it could help you if you know how to estimate

Simplify:



8.7 + 3.2(2p – q) + 2.55 p

Answers

Answer:

8.95p-3.2q+8.7

Step-by-step explanation:

Answer:

8.95,    3.2,     8.7

Step-by-step explanation:

Plz help for I keep asking and no one has help plz Brainlyist

Answers

Answer:394284

Step-by-step explanation: is this math

what is 5(x+8)+3 equal?

Answers

Answer:

I think its 5x - 37

Step-by-step explanation:

5(x-8)+3

5x - 40 + 3

5x - 37

Hope this helps!

The answer is 5x+43

Use the distributive property to multiply the numbers in the parentheses and add like terms.

5(x+8)+3
5x+40+3
5x+43

Hope this helps!

Write the equation of the line that passes through the points (-6, 9) and (0, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Help‼️

Answers

Answer:

slope(m)= -3

Step-by-step explanation:

i need help plz:((((((((((

Answers

Answer:

a) [tex]y=\frac{28}{75}(x-1900)+47.3[/tex]

b) 86.5 years

Step-by-step explanation:

All values are rounded to 2 decimal places

a) We can find line by using y =mx+b

[tex]y=mx+b\\m=\frac{y^{2}-y^{1} }{x^{2}-x^{1}}\\m=\frac{69.7-47.3}{1960-1900} \\m=\frac{22.4}{60} \\m=\frac{28}{75}\\c=y-intercept\\y-intercept=47.3\\y=\frac{28}{75} (x-1900)+47.3[/tex]

Therefore the line of best fit is [tex]y=\frac{28}{75}(x-1900)+47.3\\[/tex]

b) We can do this by using the formula of the best fit line to estimate the life expectancy of someone born in 2005

[tex]y=\frac{28}{75}(x-1900)+47.3\\y=\frac{28}{75}(2005-1900)+47.3\\y=\frac{28}{75}\times105+47.3\\y=86.5[/tex]

Therefore the estimated life expectancy of someone born in 2005 is 86.5 years

PS. Please give brainliest answer this was a lot of working out

A store offers four different brands of product. It decides to eliminate the brand most that is likely to be returned. Which brand should the store eliminate?

Answers

Step-by-step explanation:

Do (returns : Total sold) x 100%. And do this for every brand, the brand with the highest percentage has to go

Answer:

Brand D

Step-by-step explanation:

Using this

(returns/total sold) x 100%. The brand with the highest decimal will be brand D

(22/457)x100 = 4.8

(10/328)x100 =3

(21/511)x100 = 4.1

(19/241)x100 = 7.8

PLEASE HELP ME AND EXPLAIN.

Answers

Answer:

9*8=72 which would be more than enough to cover the wall

The points in the table lie on a line. Find the slope of the line.

Answers

Answer:

1/2 is the slope of the line

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