Simplify this expression using the distributive property

Answers

Answer 1

Answer:

When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.

Step-by-step explanation:

Answer 2

[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]

The Distributive Property states that

[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]

[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.

Example:

[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]

[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]

[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]

[tex]\rm{Have\;a\;great\;day![/tex]

[tex]\boxed{AmiableTeen:)}[/tex]


Related Questions

Which of the following statements best describes the value of the expression 5x – 4 when x = 1? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.

Answers

The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

Which of the statements best describes the value of the expression 5x – 4 when x = 1?

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

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8^1/3 dived by 5^-2
Please help

Answers

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

GameStop is selling video games for $32 each. Used video games sell for $12 each. David is buying 3 new video games and x used video games. Which equation can be used to find y, the total price David must pay in dollars?

Answers

Answer:

12x plus 3x equals $32

Step-by-step explanation:

I just wrote an equation that best fits the problem

Could someone please answer b?

Answers

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

The share of John is larger by $50

→ That means the difference between his shares is 50

[tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

The total sum of the money is $330

3 − 3k + 7k = 5b[tex]3 − 3k + 7k = 5b[/tex]

Answers

Answer:

k=-14

Step-by-step explanation:

what type of number is -3? A.rational. B. irrational C. whole number D. natural​

Answers

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?

Answers

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

I'm more than 9 dozen and less than the number of days in 4 months. The sum of my digits is 11.

Answers

The answer would be 119

More than 9 dozen (9 x 12 = 108)

And

Less than the number of days in 4 months (4 x 30 = 120 or 4 x 31 = 124)

Answer: 92 or 119

in 4 months, 2 months with 30 days per month,  2 months with 31 days per month

suppose: the number to find is X

have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122

if X is a number has 2 digits => X is xy

=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]

=> xy = 92

if X is a number has 3 digits => X is abc

we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]

because 100 ≤ abc < 122 => a = 1; b = 0 or 1

+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)

+) if a = 1, b = 1 => c = 9

=> abc = 119

=> X is 92 or 119

Step-by-step explanation:

The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled

Answers

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

write a conditional statement from each given statement.
Congruent segments have equal measures.

Answers

Answer:

Our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

Step-by-step explanation:

When we talk about conditional statements, it means we are about the statements which should contain 'if' and 'then'.

We need to recognize the hypothesis - conditions - and the conclusion - result - in the sentence. Then we should mention it as an 'if', and 'then' statement.

In our example, our hypothesis must be 'if they are congruent segments' and the conclusion should be 'then they have equal measures'.

Therefore, we conclude that our conditional statement should be written as:

'If they are congruent segments, then they have equal measures'.

CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST

Answers

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?

Answers

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]

Answers

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?

Answers

Answer:

Average speed is 15km/h

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

what is 7-(2x+1)+4x simpilist form

Answers

The answer is 2x +6 hope this helps

Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation

Answers

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

Add 19 to ‘a’ and divide the sum by 5, you will get 8

Answers

Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

Show how you would simplify the following expressions. Show your work.

Answers

If you multiply numbers with the same base, their exponents would add while their base stays the same.

1. 3 + (-5) = -2
4^ -2 = 1/4^2 = 1/16

2. -2+ (-4) = -6
3^-6 = 1/3^6 = 1/729

n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

Answers

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

What are the solutions?
| x1 = 10
X = ?

Answers

X=10 it has to be cause i mean 1x10 is 10 so yea

Answer:

10

Step-by-step explanation:

The X is 10

PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.


Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup

ANSWERS
one-fifth
4
two-thirds
5

Answers

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D

Answers

Answer:

B

Step-by-step explanation:

.99*6= 5.94

Answer:

B. 5.94

Step-by-step explanation:

Helps me solve this problem please

Answers

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

Find an explicit rule for the nth term of the sequence.

-4, -8, -16, -32, ...

A) an = -4 • 2n - 1
B) an = 2 • -4n + 1
C) an = 2 • -4n
D) an = -4 • 2n

Answers

Answer:

An explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

[tex]-4, -8, -16, -32, ...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the ratios of all the adjacent terms

[tex]\frac{-8}{-4}=2,\:\quad \frac{-16}{-8}=2,\:\quad \frac{-32}{-16}=2[/tex]

As the ratio 'r' is the same.

so

[tex]r=2[/tex]

as

[tex]a_1=-4[/tex]

Hence, the nth term of the sequence will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

substituting the values [tex]r=2[/tex] and [tex]a_1=-4[/tex]

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Therefore, an explicit rule for the nth term of the sequence will be:

[tex]a_n=-4\cdot \:2^{n-1}[/tex]      

Thus, option (A) is true.

Which equation best describes a relationship between x and y in the table below?

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5

what is 6 1/10 plus 5 4/5 ASAP please

Answers

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: Answer: The answer should be 11 9/10.

166 2/3 percent as a fraction

Answers

Plz mark it brainliest

The fraction is 5000/3.

What is Percent?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

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Manuel bought 9 pounds of apples. He has eaten 1.5 pounds so far and has $15
worth of apples left. Write and solve an equation to find the cost of the apples
per pound to the nearest dollar. How much did the apples cost per pound?
please answer quick

Answers

Answer:

$2 per pound

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

(9 - 1.5)x = 157.5x = 15x = 15/7.5x = 2

Cost of apple: $2 per pound

what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism

Answers

Answer:

A) rectangular prism

Explanation:

The base is a rectangle, not a pentagon nor hexagon. So B and D are out.

The difference between a prism and a pyramid is the shape.

Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.

There is no pointy top on the object, so it is a rectangular prism.

If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed

Answers

The answer is 4 miles per hour
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