Expand the expression 3(7 + x)

Answers

Answer 1

Answer:

3x + 21 or 21 + 3x

Step-by-step explanation:

Remark

This is an example of the distributive property. Of all the fundamental rules used in solving equations, this is likely the most important, at least at beginning levels.

Solution

What this is saying is two things.

1. you must multiply both terms on either side of the + sign by the factor outside the brackets.

2. You must not destroy a plus (or minus) sign unless the two terms inside the brackets are exactly the same.

3(7 + x)           The terms are not the same, so your answer must have a plus sign

Left side of the plus: 3*7

Right side of the plus: 3 * x

The answer then is 21 + 3x

It is more commonly written as 3x + 21


Related Questions

X=y-8 and -x-y=0 solve by substitution

Answers

Answer:

y=4

Step-by-step explanation:

x=y-8

-x-y=0

-(y-8)-y=0

Distribute the negative

-y+8-y=0

Combine the like terms

-2y+8=0

-8 (to both sides)

-2y=-8

Divide by -2

y=4

7 + x/5 = - 4 x=___ help

Answers

Answer:

x = -55

Step-by-step explanation:

7 + x/5 = -4

Combine the constants.

x/5 = -11

Multiply both sides by 5 to simplify the denominator.

x = -55

Check.

7 + (-55)/5 = -4

7 + (-11) = -4

7 - 11 = -4

-4 = -4

Your answer is correct.

Hope this helps!

Answer:

[tex]7 + \frac{x}{5} = - 4 \\ \frac{x}{5} = - 4 - 7 \\ = - 11 \\ x = - 11 \times 5 \\ = - 55[/tex]

pls help I hate math rectangular prism

Answers

Answer:

[tex]352.5cm^{2}[/tex]

Step-by-step explanation:

[tex]A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}[/tex]

For what values of x is the expression below defined? x + 3 / 1 - x

Answers

Answer:

3

Step-by-step explanation:

Answer:

Hello! The answer is -3 ≤ x < 1

Hope this helps :)

Charlotte needs to order some new supplies for the restaurant where she works. The restaurant needs at least 535 glasses. There are currently 321 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine s, the number of sets of glasses Charlotte could buy for the restaurant to have enough glasses.

Answers

Answer:

sadafsa a a a a a aa. a heehehwhwhwh hehehheeheheh im going to bed ehehebbebeeb for al jfdjskalsm or worse expelled harry potter

There are 3 cats for every 5 dogs at the shelter. If there are more than 20 animals at the shelter, what is the minimum number of cats?

Answers

Answer:

9 cats

Step-by-step explanation:

Debbie bought x pens. She paid $0.75, including tax, per pen. She gave the cashier $20 and received $8.75 in change. How many pens did Debbie purchase?

Answers

Answer:

15

Step-by-step explanation:

if she gave 20$ and got 8.75$ in change, she payed 11.25$

11.25$ (total) / 0.75 (per pen)= 15 (pens she bought)

what does 3(y + 4) = 3y + 12 equal?

Answers

Answer:

15y

Step-by-step explanation:

If you add 3 and 12 together you get 15 and when you get 15 you add in the y

Answer:

Y= - 4/3x + 4

Hope this helps :))

Find x, y and z
82"
54


Answers

Answer:

help me pls

Step-by-step explanation:

Solve the equation 16x^3+16x^2-x-1=0 given that -1/4 is a zero of f(x)= 16x^3+16x^2-x-1. Solution set is ___

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

please help me
The measure of an exterior angle of a triangle is x. The measure of the adjacent interior angle is at least twice x. List three possible solutions for x.​

Answers

Answer:

x=exterior

y=interior

x+y=180

y is greater than or = to 2x.

So one value could be x+2x=180

3x=180

x=60

or you could do 2x+1+x=180

3x=179

x=179/3

or 2x+2+x=180

3x=178

x=178/3

Step-by-step explanation:

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.

On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

How was triangle A translated?
four units left
four units right
six units left
six units right

Answers

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

The translation from triangle A to B

Translation involves changing the position of a shape

From the question, we understand that:

Triangle A represents the pre-imageTriangle A is shifted to the right by 6 units

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Read more about translation at:

https://brainly.com/question/4289712

I need help! If you answer I will mark!

Answers

Answer:

straight

Step-by-step explanation:

it is a straight angle

What is the recursive rule for this geometric sequence?

3,3/2,3/4,3/8,...




a1=12;an=32⋅an−1

a1=32;an=12⋅an−1

a1=12;an=3⋅an−1

a1=3;an=12⋅an−1

Answers

Answer:

1

Step-by-step explanation:

Mallorie has $15 in her wallet. If this is 25% of her monthly allowance, what is her monthly allowance

Answers

3.75. You just have to do .25×15 to get 3.75. Please mark me brainliest
The correct answer is her full monthly allowance is $60.

$15 dollars is 1/4 of the allowance.
So do $15 times 4 to get a total of $60;)

Translations, reflections, and rotations produce a figure that is ______ to the original figure.

Answers

Answer:

Congruent.

Step-by-step explanation:

A car rental agency charges $31 per day to rent a car and $13.95 per day for a
global positioning system (GPS). Customers are charged for their full tank of gas
at $3.60 per gallon. A car has a 16 gallon tank and a GPS.
a) Write a function rule for the total bill b as a function of the days d the car is
rented,
b) What is the bill for a 10 day rental?

Answers

Answer:

$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57

The sum of 67,42 and (6x-1) is 180 what is the value of x?

Answers

Answer:

180 - 109 = 6x-1

6x - 1 = 71

6x = 72

x = 12

Step-by-step explanation:

How? (2x^2 - 3x - 4)(x + 7)

Answers

Answer:

[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]

Step-by-step explanation:

Using foil method, Multiply the first term

[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

[tex] - 3x \times 7 = - 21x[/tex]

[tex] - 4 \times x = - 4x[/tex]

Then multiply the last term (-4 and 7).

[tex] - 4 \times 7 = - 28[/tex]

Combine it you have

[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]

which simplify to

[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]

Herman buys a mountain bike priced at $525.90 If the sales tax is 10%,what will be the total cost including tax?

Answers

Answer:

$578.49

Step-by-step explanation:

$525.90×0.1=$52.59

$525.90+$52.59=$578.49

11 5/10 minutes =
Kevin had 11 minutes and ____ seconds for question C.

Answers

Answer:

Kevin had 11 and 30 seconds.

kalfhvbweocnsliydsaieakywcronuosudzopvnrcidsvjrk hope this helps..?

Can anyone help me please

Answers

Answer:

-4/9

Step-by-step explanation:

find two points that cross perfectly and take the ys and subtract and take the xs and subtract and then do y/x

Hope this helps :)

Plz help me!! Giving brainliest

Answers

Answer:

16.8

Step-by-step explanation:

just look at the length to the side of it (the "28") and look at the given answers. 4 seems way too small and because the line is shorter than 28 it cant be 43, so 16.8 is the most reasonable option.

the coordinates of ABC are A( 2,3), B(6,6) , and C(7,2) . After a translation , the image of vertex A is (-6,1). a). give the coordinates of B and C after the same translation.​

Answers

Answer:

B (-2, 4)

C (-1, 0)

Step-by-step explanation:

(x,y) -> (x - 8, y - 2)

A (2, 3) -> (2 - 8, 3 - 2) = A (-6, 1)

B (6, 6) -> (6 - 8, 6 - 2) = B (-2, 4)

C (7, 2) -> (7 - 8, 2 - 2) = C (-1, 0)

Hope this helped and made sense!

Which of the values of m and b will create a system of equations will infinitely many solutions y=mx+b ,y=-2x+4

Answers

I hope and useful for your help

In a sale normall prices are reduced by 10% Natalie brought a pair of shoes from the sale and they cost £54 what was the original price

Answers

Answer: £60

Step-by-step explanation:

Natalie bought a pair of shoes for £54 which had been reduced by 10%.

To find the original cost, assume the original cost is x.

The discount would be: 10% * x

The expression would therefore be:

x - (10% * x) = 54

x - 0.1x = 54

0.9x = 54

x = 54 / 0.9

x = £60

Does anyone know this?​

Answers

Answer:

B

Step-by-step explanation:

(2*5) - 2 = 8

May Nilbin Be With You

i need someone to help me understand this and questions like this

Answers

Answer:

a >= -3

Step-by-step explanation:

So A

Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50¢ price increases.

b(x) = -____x2 + ____x + _____

Answers

Answer:

b(x) = -2x² + 7x + 114

Step-by-step explanation:

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent = dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,


Plz help will mark brainliest

Answers

Answer:

∠ A = 82°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

A is an exterior angle of the triangle, then

∠ A = 49° + 33° = 82°

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