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3 years ago

I need help, could someone help me solve this? Also please explain so I can do other ones on my own. Thanks in advance!

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

x = 9

Step-by-step explanation:

Solving for $x$ the equation

First with add 6 in each term in the equation in order to solve for x

6+3x+(-6) = 21+6

3x = 27

Then we divide both term for 3

3x/3=27/3

resulting

x = 27/3

Reducing

x = 9

You might be interested in

Sales Daria sells televisions. She earns a fixed amount for each television and an additional $30 if the buyer gets an extended

alexira [117]

Answer:

$70

Step-by-step explanation:

Daria's total income = fixed income + variable income

Let

Daria's Fixed income = x

additional $30 if the buyer gets an extended warranty

Daria's variable income = 30s

Where,

s = number of televisions with extended warranties she sells

If Daria sells 15 televisions with extended warranties, she earns \$1,500. Find her fixed income

Daria's total income = fixed income + variable income

1500 = x + 30(15)

1500 = x + 450

1500 - 450 = x

1,050 = x

x = $1,050

Daria's total fixed income = $1,050

How much is the fixed amount Daria for each television?

Fixed income per television = Total fixed income / number of television sold

= 1050 / 15

= 70

Fixed income per television = $70

7 0

2 years ago

Part A

masya89 [10]

Answer:

Part A) The area of triangle i is $3\ cm^{2}$

Part B) The total area of triangles i and ii is $6\ cm^{2}$

Part C) The area of rectangle i is $20\ cm^{2}$

Part D) The area of rectangle ii is $32\ cm^{2}$

Part E) The total area of rectangles i and iii is $40\ cm^{2}$

Part F) The total area of all the rectangles is $72\ cm^{2}$

Part G) To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) The surface area of the prism is $78\ cm^{2}$

Part I) The statement is false

Part J) The statement is true

Step-by-step explanation:

Part A) What is the area of triangle i?

we know that

The area of a triangle is equal to

$A=\frac{1}{2} (b)(h)$

we have

$b=4\ cm$

$h=1.5\ cm$

substitute

$A=\frac{1}{2} (4)(1.5)$

$Ai=3\ cm^{2}$

Part B) Triangles i and ii are congruent (of the same size and shape). What is the total area of triangles i and ii?

we know that

If Triangles i and ii are congruent

then

Their areas are equal

$Aii=Ai$

The area of triangle ii is equal to

$Aii=3\ cm^{2}$

The total area of triangles i and ii is equal to

$A=Ai+Aii$

substitute the values

$A=3+3=6\ cm^{2}$

Part C) What is the area of rectangle i?

we know that

The area of a rectangle is equal to

$A=(b)(h)$

we have

$b=2.5\ cm$

$h=8\ cm$

substitute

$Ai=(2.5)(8)$

$Ai=20\ cm^{2}$

Part D) What is the area of rectangle ii?

we know that

The area of a rectangle is equal to

$A=(b)(h)$

we have

$b=4\ cm$

$h=8\ cm$

substitute

$Aii=(4)(8)$

$Aii=32\ cm^{2}$

Part E) Rectangles i and iii have the same size and shape. What is the total area of rectangles i and iii?

we know that

Rectangles i and iii are congruent (have the same size and shape)

If rectangles i and iii are congruent

then

Their areas are equal

$Aiii=Ai$

The area of rectangle iii is equal to

$Aiii=20\ cm^{2}$

The total area of rectangles i and iii is equal to

$A=Ai+Aiii$

substitute the values

$A=20+20=40\ cm^{2}$

Part F) What is the total area of all the rectangles?

we know that

The total area of all the rectangles is

$At=Ai+Aii+Aiii$

substitute the values

$At=20+32+20=72\ cm^{2}$

Part G) What areas do you need to know to find the surface area of the prism?

To find the surface area of the prism, we need to know only the area of triangle i and the area of rectangle i and the area of rectangle ii, because the area of triangle ii is equal to the area of triangle i and the area of rectangle iii is equal to the area of rectangle i

Part H) What is the surface area of the prism? Show your calculation

we know that

The surface area of the prism is equal to the area of all the faces of the prism

The surface area of the prism is two times the area of triangle i plus two times the area of rectangle i plus the area of rectangle ii

$SA=2(3)+2(20)+32=78\ cm^{2}$

Part I) Read this statement: “If you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” Is this statement true or false? Why?

The statement is false

Because, the three rectangles are not congruent

The total area of the rectangles is $72\ cm^{2}$ and if you multiply the area of one rectangle by 3 you will get $20*3=60\ cm^{2}$

$72\ cm^{2}\neq 60\ cm^{2}$

Part J) Read this statement: “If you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” Is this statement true or false? Why?

The statement is true

Because, the triangles are congruent

8 0

3 years ago

Need some help!<br> please be specific on how to do it

Katyanochek1 [597]

Answer:

Your first step in solving the system would be to substitute the value of a variable into one of the equations

Step-by-step explanation:

We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations

If we were to insert -1/3x + 4 for y, our new equation would be:

x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)

4 0

2 years ago

GIVING BRAINLIEST FOR BEST ANSWER!

Anarel [89]

Answer:

9/7

Step-by-step explanation:

13/14 - 1/7 + 1/2

taking LCM

=(13-2+7)/14

=18/14

to its lowest term

=9/7

6 0

1 year ago

Read 2 more answers

You take a random token from a bag that contains 44? red, 1414? green, and 66? blue tokens. What is the probability your token i

german

Answer:

11/381

Step-by-step explanation:

Not sure what the ? after each number means but I'm going to assume they aren't there

so we need find the number of tokens in all which is

44+1414+66=1524

P(red)=44/1524 now reduce giving P(red)=11/381

5 0

3 years ago

Read 2 more answers

I need help, could someone help me solve this? Also please explain so I can do other ones on my own. Thanks in advance!​

I need help, could someone help me solve this? Also please explain so I can do other ones on my own. Thanks in advance!