Mathematics High School

Use the greatest common factor and the distributive property to write equivalent expressions in factored form.

13ab + 15ab =

Answers

Answer 1

Given:

The expression is

[tex]13ab+15ab[/tex]

To find:

The equivalent expressions in factored form.

Solution:

We have,

[tex]13ab+15ab[/tex]

In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.

Distributive property of multiplication over addition:

[tex]a(b+c)=ab+ac[/tex]

By using greatest common factor and the distributive property, we get

[tex]13ab+15ab=ab(13+15)[/tex]

[tex]13ab+15ab=ab(28)[/tex]

[tex]13ab+15ab=28ab[/tex]

Therefore, the required equivalent expression is [tex]28ab[/tex].

Related Questions

The cost of 25 litres of petrol is Rs.1400.Find the cost of 30 litres of petrol.​

Answers

Rs.1680

Liter. Rs
————-|————-
25 | 1400
:5( | ):5
5 | 280
x6( | )x6
30 | 1680

Alguien me podría ayudar aunque sea en la 2°
se los agradecería mucho​

Answers

Answer:

photomath

Step-by-step explanation:

es una app q te ayuda en ejercicios de matemática

What are the coordinates of point S?

Answers

Answer:

(-2,3) or (3,-2)

Step-by-step explanation:

follow the line if that makes since

Answer:     (-3,2)

Step-by-step explanation:

The point is 3 spaces left so it would be negative and 2 spaces up so positive.

What is the measure of the indicated angle?

Answers

Answer:

76

Step-by-step explanation:

Let the indicated angle be x

all the angels add up to 180⁰

therefore,

x + 48 + 56 = 180

x + 104 = 180

x = 180 - 104

x = 76

HOPE THIS HELPS

The answer would be 76!

The probability that Stu buys a sandwich is 0.5. The probability that Stu gets the bus is 0.8. Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?

Answers

Answer:

0.4

Step-by-step explanation:

hegarty maths

What is the gcf of 10m^3 +45m

Answers

Answer:

ITS 1

10 = 2 • 5

   3 = 3

   45 = 32 • 5

Answer:

GCF of 40 and 60

Step-by-step explanation:

Solution We first express 20 and 60 as the product of prime numbers 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5. The common factors are 2 × 2 and 5.

Help please I forgot how to do this

Answers

Answer:

the second one

Step-by-step explanation:

i dont know if this is right i am not the best but i tried hope i got it

what is 5x-2y= -4 in slope intercept form

Answers

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Hi, can someone please help me with some geometry problems?!!!

Answers

Answer:

I can!

Step-by-step explanation:

Sure why not post them

Help pleaseeeeit won’t let me send it cuz it has to be longer soo...

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Indices.

After simplifying we get as,

B.) 3v^16/m^4 p^6

option B.) is totally correct.

Answer:

b0uv9uvj9c9hc9

Step-by-step explanation:

beive88eh

Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table.

Based on the table, which bill has an experimental probability of being drawn from the bag next?

Experimental or Theoretical?

Answers

Answer:

Theoretical

Step-by-step explanation:

The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.

Find the value of
n
.

Answers

Answer:

n = 250

Step-by-step explanation:

To express the ratio, the quantities must have the same measures

2 cm : 5 m

= 2 cm : 500 cm [ 1 m = 100 cm ]

Divide both parts by 2

= 1 : 250 → with n = 250

.Evaluate (103)^3using identity.​

Answers

Answer:

1092727

(103) ^3 =(100+3) ^3

=(100) ^3 +3 ^3 +3×100×3(100+3)

=1000000+27+90000+2700

=1092727

Step-by-step explanation:

Hope it is helpful....

Answer:

It would be equal to 1092727

Step-by-step explanation:

You would expand and get 103 times 103 times 103.

I didn't know what identity ur talking about

What is the range for the function below?

Answers

negative infinite and four

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

Answers

Answer:

7.36 cm²

Step-by-step explanation:

What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.

The formula for the area of a triangle is given as:

1/2 × Base × Height

Base = 3.2 cm

Height = 4.6 cm

Hence,

Area of the triangle = 1/2 × 3.2 × 4.6

= 7.36 cm²

The solution (x y) to a system of equatiohs is the point where they..?

Answers

Answer:

Intersect

Step-by-step explanation:

I need help with this question

Answers

Answer:

4.5 .       ^14

Step-by-step explanation:

dont cheat in tests next time not everyone is as kind as me

Answer:

It would be 4.5 x 10^14

Step-by-step explanation:

Just multiply the decimals and for the exponents, you add them.

game item?? game name???

Answers

Answer:

It's minecraft and that item is a string from a spider's web. Please keep questions related to school.

Step-by-step explanation:

What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)

y = 5
y = −7
x = 5
x = −7

Answers

If it’s a horizontal line, we focus on the y-coordinates.

(-7,5)

-7 is a x-coordinate
5 is a y-coordinate


The answer is y = 5

If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?​

Answers

Answer:

x = 7

AC = 44

Step-by-step explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

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

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of  x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC=  56-12

AC = 44

Hence the measure of AC is 44

There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!

Answers

Answer:

still need it?..........

Solve for the hypotenuse in the right triangle shown.​

Answers

Answer:

Square root of 34

Step-by-step explanation:

a^2 +b^2 =c^2

3^2 + 5^2 = 34

[tex]\sqrt{34}[/tex]

Write a verbal statement that represents the expression
h
÷
8
.

Answers

Answer:

the variable h divided by 8. The quotient of h and 8

Step-by-step explanation:

Which equation can be solved

Answers

Answer: Choice B)  2x-60 = 180

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

Explanation:

A bit of the question got cut off. I'm assuming the full question reads "In this diagram, the measure of angle RQS is 60 degrees less than the measure of angle PQS"

The portion underlined is the part cut off where I'm making the assumption. If that assumption is correct, then we have

angle PQS = xangle RQS = x-60

Those two adjacent angles form a straight line of 180 degrees

(anglePQS) + (angleRQS) = 180

(x) + (x-60) = 180

2x-60 = 180

which points to choice B as the answer.

Answer:

Step-by-step explanation:

∠RQS = x - 60°

∠RQS = 180° - x

x - 60° = 180° - x

2x - 60° = 180°

What is an equation of the line that passes through the points (4, -6) and
(8,-4)?

Answers

Answer:

y = 1/2x - 8

Step-by-step explanation:

(4, -6) & (8, -4)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - (-6)) / (8 - 4)

Simplify the parentheses.

= (2) / (4)

Simplify the fraction.

2/4

= 1/2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = 1/2(8) + b

To find b, multiply the slope and the input of x(8)

-4 = 4 + b

Now, subtract 4 from both sides to isolate b.

-8 = b

Plug this into your standard equation.

y = 1/2x - 8

This is your equation.

Check this by plugging in the other point you have not checked yet (4, -6).

y = 1/2x - 8

-6 = 1/2(4) - 8

-6 = 2 - 8

-6 = -6

Your equation is correct.

Hope this helps!

find the area of the figure below, composed of a rectangle and semicircle. Round it to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

radius of semicircle = 5

area of semicircle = πr² = 25π

area of rectangle = 10×14 = 140

total area = 140 + 25π ≅ 218.54 square units

Help????? 5 rate its due at 8:00 hehee.....

Answers

An equation has to have a equal sign. So all with a equal sign. If there’s no equal sign it’s a expression.

8. Solve for x. Round to the nearest hundredth If necessary.

Answers

Answer:

11.47

Step-by-step explanation:

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

Find the last side of the triangle using the Pythagorean theorem.

good luck, i hope this helps :)

Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour

Answers

62 miles 217/3.5 to get mph then mph is 62 so every hour they travel 62 miles

school lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v​

Answers

Answer:

₱ 550.25

Step-by-step explanation:

₱ 35.50 * 15.5 weeks = ₱ 550.25

550.25 is the anawer
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