Solve for x using the
distributive property.
7(x + 3) = -49

Answers

Answer 1

Answer:

x= -10

Step-by-step explanation:

distribute 7 to x and 3: 7x + 21 = -49

subtract 21 from both sides to isolate the variable: 7x= -70

divide both sides by 7 to find x: x= -10

Answer 2

Answer:

X = -10

Step-by-step explanation:

1.- 7x + 21 = -49

Subtract 21 on both sides of the equal sign

You should have:

2.- 7x = -70

Divide 7 on both sides of the equal sign

You should get the answer:

X = -10


Related Questions

is 2/2 a improper fraction ?

Answers

Answer:

no

Step-by-step explanation:

Ben bought 1 2/3 pounds of jelly beans and 2 3/8 pounds of jolly ranchers. What are the total pounds of candy that Ben bought?

Answers

Answer:

4 1/24

Step-by-step explanation:

1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24

Hint: Use the number line to find the missing value.
-2=_______+6




Answers

Answer:

4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

simplify start root 80 end root

Answers

Answer:

If your question is [tex]\sqrt{80}[/tex], your answer is 8.94 or [tex]4\sqrt{5}[/tex]

Hope this helps!

I have been stuck on this for 1 hours someone plz help me

Answers

Answer:

answers in PDF

Step-by-step explanation:

You are a screenwriter who is writing a script for an hour-long police drama. You have written 20 1/2 pages for act 1 and 5 1/2 pages for act 2.

How many pages have you written in total?

Answers

Answer:

You have written 26 pages in total.

Step-by-step explanation:

I always enjoyed adding fractions. Something about it is so... simple.

The problem is basically asking us to add 20 1/2 and 5 1/2 together.

I would first suggest adding both halves together, to make 1.

That way, we're left with 20 + 5 + 1. That seem easier, doesn't it?

Then we would add 20, 5 and 1 together, to get 26 whole pages.

And that, to an extent, is how I did it.

Hope this helps! :D

Answer:

Given:

Written pages for Act 1 = 20 1/2

Written pages for Act 2 = 5 1/2

For making mixed numbers like this easier to add, let's convert them first into an irrational number with this formula,

((Whole Number × Denominator) + Numerator)/Denominator

Thus,

for 20 1/2

((20 × 2) + 1)/2 = 41/2

for 5 1/2

((5 × 2) + 1)/2 = 11/2

Then we add,

41/2 + 11/2

Since, they have the same denominator, no more conversions need, proceed adding the numerators,

(41 + 11)/2 = 52/2 = 26

You've written 26 pages in total.

I HAVE 5 MINS ANSWER THIS FOR (15 POINTS)

Answers

Answer:

d

Step-by-step explanation:

Answer:

Domain: 0,2,3

Range: -1,-3,-2

Step-by-step explanation:

20 POINTS AND 5 STARS

Answers

the first one I believe

how many solutions does the equation 8x+16=8x-16 have?

Answers

Answer:

8*x+16-(8*x-16)=0

Step-by-step explanation:

Solve :    32   =  0

This equation has no solution.

A. a non-zero constant never equals zero.

Hope this helps! Please mark Brainliest!

No solutions

8x + 16 = 8x - 16
16x + 16 = -16
16x = -32
X = -2

If I deposit $1500 in my bank account and it increased by 15% at the end
of the year, how much money is now in my bank account

Answers

Answer:

$1725

Step-by-step explanation:

15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725

Three families bought food at the baseball game. The Smith family spent $16.50 on 3 hot dogs, 2 sodas, and 1 candy bar. The Patterson family spent $26 on 4 hot dogs, 4 sodas, and 2 candy bars. The Nguyen family spent $13.75 on 2 hot dogs, 1 soda, and 3 candy bars. Which of the following systems of equations could be used to determine the price of each item?

Answers

Answer:

Step-by-step explanation:

Let

Price of

Hotdogs = x

Sodas = y

Candy bar = z

Smith family

Hotdogs = 3

Sodas = 2

Candy bar = 1

Total cost = $16.50

3x + 2y + z = 16.50

Patterson family

Hotdogs = 4

Sodas = 4

Candy bar = 2

Total = $26

4x + 4y + 2z = 26

Nguyen family

Hotdogs = 2

Sodas = 1

Candy bar = 3

Total cost = $13.75

2x + y + 3z = 13.75

The equations

3x + 2y + z = 16.50 (1)

4x + 4y + 2z = 26 (2)

2x + y + 3z = 13.75 (3)

Multiply (1) by -2

-2(3x + 2y + z = 16.50)

-6x - 4y - 2z = -33

-6x - 4y - 2z = -33 (1a)

4x + 4y + 2z = 26 (2)

Add (1a) and (2)

-6x + 4x = -33 + 26

- 2x = -7

x = -7/-2

= 3.5

x = $3.5

Multiply (3) by -4

-4(2x + y + 3z = 13.75) (3)

-8x - 4y - 12z = -55 (3a)

Add (3a) and (2)

-8x - 4y - 12z = -55 (3a)

4x + 4y + 2z = 26 (2)

-8x + 4x -12z + 2z = -55 + 36

-4x - 10z = -29

Substitute the value of x into

-4x - 10z = -29

-4(3.5) - 10z = -29

-14 - 10z = -29

-10z = -29 + 14

-10z = - 15

z = -15 / - 10

= 1.5

z = $1.5

Substitute values of x and z into (1)

3x + 2y + z = 16.50

3(3.5) + 2y + 1.5 = 16.50

10.5 + 2y + 1.5 = 16.50

12 + 2y = 16.50

2y = 16.50 - 12

2y = 4.50

y = 4.50 / 2

y = $2.25

Choose the property that justifies each step.
5(x - 1) = 4x+ 13

1) 5x- 5 = 4x + 13 ________

2)X- 5 = 13 ________

3) x= 18________

Options for each answer:

•Addition Property of Equality
•Distributive Property
•Multiplication Property of Equality
•Subtraction Property of Equality
•Transitive Property of Equality

Answers

Answer:

1. Distributive Property

2. Subtraction Property of Equality

3. Addition Property of Equality

The property that justifies each step of 5(x-1) = 4x + 13 is 5x - 5 = 4x + 13.

What is distributive property ?

Distributive property is when we distribute and multiply in between addition and subtraction

Given 5(x-1) = 4x + 3.

We know a(b+c) = ab + ac which is distributive property.

So, 5(x-1) = 4x + 3.

5x - 5 = 4x + 3.

Solving these problem and finding the value of x

5x - 5 = 4x + 13.

5x - 4x = 13 + 5.

x = 18.

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#1 What is the difference between
an expression and an equation?

Answers

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

I don't understand this...​

Answers

Answer:

If x is 55, z is also 55. Now subtract, and boom! you get 15 degrees

Step-by-step explanation:

I think the whole triangle is 125* total, and has three sides, one smaller than the rest. Hope this helps!

NEED HELP IM BEGGING YOU PLEASE !!!!!

Answers

Answer:

1.5t+2=4 and 2/3

1.5t=2 and 2/3

t= 1 and 7/9

Find the product of each expression using properties of complex numbers.
1. (x + 3i)(x − 3i)
2. (x − 4i)(x + 4i)
3. (x + 8i)(x − 8i)

Answers

Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

[tex]=x^2+16[/tex]

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

f(x) = x^2- 51 when f (-7)

Answers

Answer:

f(x)= -2

Step-by-step explanation:

f(x) = x^2- 51

        -7^2-51

          49-51

            -2

f(x)= -2

I WILL MARK AS BRAINLLIEST TO WHOEVER ANSWER THIS RIGHT AWAY:)!
and 50 points

The distributive property can be used to rewrite the expression 3(4 + 2) as 3(4) + 3(2).


True or False

Answers

Answer:

18

Step-by-step explanation:

Solve using elimination.
2x + y = 5
x - 3y = 6

Answers

Answer:

then substitute y in eq 1 to get x

hope this helped you

Please mark as the brainliest (ㆁωㆁ)

How are the slope formula and finding slope using "rise over run" related?

Answers

Answer:

they are the same thing

Step-by-step explanation:

Answer:

They are practically the same thing but if you want to get technical then they are related because A slope  a measure of steepness. A line with a large slope, such as 25, is very steep. A  line with a small slope, such as 1 /10 is very flat. So this means it will rise over run if that makes sense.

Hope this helps!

The product of 12 and a number is greater than 24.

Answers

12+n=n>24 that would be the answer

I will give you branilest!
Here is a circle with center H and some line segments and curves joining points on the circle. Identify ONE example of each of the following.
a. Diameter
__________
b. Radius
_________
(Be sure that your book includes your written reasoning.)

Answers

Answer:

a) line [EA]

b) line [HA]

Step-by-step explanation:

Answer:

a) line(EA)

b) line(HA)

Step-by-step explanation:

Henri owns a cupcake shop that also takes special orders. Henri starts the day baking and frosting 120 dozen cupcakes before the store opens. On Wednesday, he received a special order for 20 dozen assorted cupcakes to be delivered the same afternoon. He also sold 98 dozen cupcakes that day. How many dozen cupcakes does Henri have left at the end of the day? Explain your answer.

Answers

Answer: He has 2 dozen cupcakes

Step-by-step explanation:

120*12=1440

20*12=240

1440-240=1200

98*12=1176

1200-1176=24

24= 2 dozens

How much is the number 727731000 in percent form




I need yall to answer this question quickly you will recieve a ton of points if you do.

Answers

Answer:

72773100000%

Step-by-step explanation:

"Percent" means "per 100" or "over 100". So, to convert 727731000 to percent we rewrite 727731000 in terms of "per 100" or over 100.

Multiply 727731000 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.

7277310001×100100=72773100000100

72773100000/100 is 72773100000 over 100 and means 72773100000 per 100. 72773100000 "per 100" means 72773100000 "percent" or 72773100000%

Therefore, we have shown that

727731000 = 72773100000%

Simplified Conversion:

Multiply by 100 and add the percent sign %

727731000 × 100 becomes 72773100000%

Shortcut Conversion:

Move the decimal point 2 places to the right and add the percent sign %

727731000 becomes 72773100000%

727731000% because your just putting it over a 100.

Find the slope of the line y = 8/9x - 1/3

Answers

Answer:

8/9

Step-by-step explanation:

The general form of linear functions are y = mx+b. Here, m is the slope and b is the y intercept. Therefore we can already see that m = 8/9 as the question is already in the general form y = mx+b.

yes the other dude was correct :)

Multiply. Enter the product in simplest form.
17/8 x 14/51

Answers

Answer:

7/12 or in decimal form it is .583

Step-by-step explanation:

Please mark brainliest!

hope this helps!

The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden? Explain how you know in the work space provided.

Answers

Answer:

Length = 11.2 ft

Step-by-step explanation:

Area of a square garden = 125 square feet

Formula to find

Area of a square = length^2

Substitute the value of the Area of the square garden

Area of a square = length^2

125 = length^2

Find the square root of both sides

√125 = √length^2

11.18 = length

Approximately

Length = 11.2 ft

The food truck also offers catering services. The food truck makes different kinds of salads for parties and other events. Tammy looks at the paper menu to
decide what to buy
Macaroni Salad
$5 per pound
Potato Salad
$8 por pound
Tammy will order both macaroni and potato salad. She estimates that she will spend a total of 538 on 7 pounds of salad. She uses this system of equations to
show how many pounds of macaroni salad, m, and potato salad, p, she plans to buy.
5m +6p = 38
m+p=7
How many pounds of each salad does Tammy plan to buy?

Answers

Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

If x=-1, then which of the following equations makes a true statement?
A.) 4x+9=20
B.) -4x–5=-15
C.) -3x+15=18
D.) -5x–15=-22

Answers

Answer:

Option C

Step-by-step explanation:

Option A:[tex]4(-1)+9=20\\\\-4+9=20\\\\\boxed{5\neq 20}[/tex]Option B:[tex]-4(-1)-5=-15\\\\4-5=-15\\\\\boxed{-1\neq -15}[/tex]Option C:

[tex]-3(-1)+15=18\\\\3 + 15 = 18\\\\\boxed{18=18}[/tex]

Option C is the correct answer.

Option D:[tex]-5(-1)-15=-22\\\\5-15=-22\\\\\boxed{-10\neq -22}[/tex]

Hope this helps.

For the value of x = - 1, the correct equation is,

⇒ - 3x + 15 = 18

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The value of x is,

⇒ x = - 1

Now, Substitute the value of x in all equations and check the correct equation.

For equation 3;

⇒ - 3x + 15 = 18

Substitute x = - 1 ;

⇒ -3×-1 + 15 = 18

⇒ 3 + 15 = 18

⇒ 18 = 18

Thus, The correct equation is,

⇒ - 3x + 15 = 18

Learn more about the mathematical expression visit:

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You decide to borrow a loan of $2,500 to go on vacation. The banks loans you the money at 9%for 7 months. How much interest will you pay?

Answers

Answer:

umm 1500? hmqmmmmmm

ye

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