8th Grade Math Homework Thursday, January 28th
Simplify. Combine like terms.
1. 12y - 18y
2. 4(y + 5)
3. 3x + 6y - 9x + 4
4. 6(x - 9) + 10 - 3x
5. Is 4 a solution of 5(2 - x) = -10? Show work to justify your answer.
Solve and check the following equations. Show all steps.
6. 4x + 20 = 0
7. 5x - 3 = 2x - 27
8. 6x - 8 = 2x + 16
9. 12 - 3x = 22 + 2x
10. x + 7x - 12 = -20
11. 7x+4 - 13x = -1 + 23

Answers

Answer 1
1. -6y
2. 4y+20
3. -6x+6y+4
4. 3x-44
5. •work:
•plug in 4 to the equation
5(2-4)=-10
10-20=-10
-10=-10
•so, yes it is a solution to 5(2-x)
6. •work:
4x+20=0
-20 -20
4x=-20
4x/4=-20/4
x=-5
7. •work:
5x-3=2x-27
-2x -2x
3x-3=-27
+3 +3
3x=-24
3x/3=-24/3
x=-8
8. •work:
6x-8=2x+16
-2x -2x
4x-8=16
+8 +8
4x=24
4x/4=24/4
x=6
9. •work:
12-3x=22+2x
-2x -2x
12-5x=22
-12 -12
-5x=10
-5x/-5=10/-5
x=-2
10. •work:
x+7x-12=-20
8x-12=-20
+12 +12
8x=-8
8x/8=-8/8
x=-1
11.•work:
7x+4-13x=-1+23
-6x+4=-1+23
-6x+4=22
-4 -4
-6x=18
-6x/-6=18/-6
x=3
here you go! hope this helped!! :)

Related Questions

Determine if 20:14 and 80:56 is equivalent

Answers

Answer:

they are equivalent to 4

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

lets change it to a different question

does [tex]\frac{20}{14}=\frac{80}{56}[/tex]

CAN SOMEONE PLEASE HELP ME???!!!

Answers

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

What is the equation, in point-slope form, of the line passing through the point (-6, -2) with a slope of 3/5?

Answers

Answer:

this is a required equation.

Name the property illustrated. 69 + 0 = 69

Answers

Answer:

zero property of addition

Step-by-step explanation:

What is the domain of the given function?


{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}


{x | x = –4, –1, 3, 5, 6}

{y | y = –2, 0, 1, 4, 9}

{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}

{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9

Answers

Answer:

3,6,-1,5, and -4

Step-by-step explanation:

Domains is the X

Answer:

hi

Step-by-step explanation:hi

Good morning everyone! I have a tricky math question here, and was wondering if any of you can solve it. Have a great day! :D

Answers

Solve it considering  correct order of operations:

9 - 3 ÷ 1/3 + 1 =                     Division first9 - 3 × 3 + 1 =                       Multiplication first9 - 9 + 1 =                             Subtraction is same priority with addition 0 + 1 =                                   Addition1                                            Answer

Answer:

9 - 3 ÷ (1/3) + 1 = 1

Step-by-step explanation:

Given problem,

→ 9 - 3 ÷ (1/3) + 1

Let's solve the problem,

→ 9 - 3 ÷ (1/3) + 1

→ 9 - (3 × 3) + 1

→ 9 - 9 + 1

→ 9 - 8 = 1

Thus, the answer is 1.

If f ( x ) = 3x + 2 and g ( x ) = 2x - 2, find f ( x ) g ( x )
Select one:
a. 6x 2 - 2x - 4
b. 6x 2 + 2x + 4
c. No solution
d. 5x 2

Answers

Answer:

[tex]f(x)g(x) = (3x + 2)(2x - 2) \\ = 6 {x}^{2} - 6x + 4x - 4 \\ = \boxed{6 {x}^{2}- 2x - 4} \\ a. \: is \: the \: right \: answer[/tex]

GIVING 50 points
FIND THE VALUE OF X
PLEASE HELP WITH WORK AND STEPS SHOW THANK YOU

Answers

Answer:

Step-by-step explanation:

1. 10^2+7^2=x^2

x=sqrt(149)

2. 21^2-19^2=x^2

x=sqrt(80)

3. This is all pythagorean theorem busywork, a^2+b^2=c^2 where c is the hypotenuse of the triangle.  I think from my examples you should be able to figure the rest out.

3) This decimal is colored to show
1

Answers

i believe it’s the first one. i’m very sorry if it’s wrong

The length of a rectangle is 3 cm greater than its
width. Its area is 108 cm. Find the dimensions
of the rectangle.

Answers

So the Area = length • width
so first say the width is x so the length is +3 then the width so the length is (x+3)

the formula would be; x•(x+3) = 108
x=9

so the width is; 9 cm
and the length is; 9+3= 12cm

The length is 12 cm and width is 9 cm.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Area = 108 cm²

and, The length of a rectangle is 3 cm greater than its width.

let the width of rectangle be x.

so, length = x+ 3

So, Area of Rectangle = l x w

108 = x(x+ 3)

x² + 3x -108 = 0

x² + 12x - 9x  -108 = 0

x( x+ 12) -9 ( x+ 12)= 0

(x + 12)(x- 9)=0

x= -12, +9

So, length is 12 cm and width is 9 cm.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

Please help me with this..

Answers

I believe the answer is 7.18

Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?

Tax- ?

Tip- ?

How much was their total bill with tax and tip added(hundredths place)

Answers

Answer:

45.58

Step-by-step explanation:

Tax is 2.08

Tip is 8.7

Hope this helped

X^2+2x+1=4 complete the square

Answers

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

x= 1 or x= -3 is the right answer.

20 POINTS!!!
Write the algebraic expression or equation that represents the following word problem. **DO NOT EVALUATE OR SOLVE
Rene has a $50 gift card from a local coffee shop. Each day, he buys the same latte which costs $4.25. When will he have $11.75 left on his card?

Answers

Answer:

50-4.25x=11.75

Step-by-step explanation:

So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75

ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7

Answers

Answer:

y=5x  is not linear

Step-by-step explanation:

option A is not linear

UMS Grade 7 Math CUA- Unit 4 / 6 of 10
A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?
O A $16.27
O B. $17.08
OC. $31.72
O D. $32.53
PLEASE HURRY IM DOING THE TESTTT NOWWWW

Answers

B because 48.80*0.35=17.08

A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?

Answers

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

Solve.
4.75 x $2.20 =
$9.45
$10.55
$9.55
$10.45

Answers

10.45 :) I hope this helps! ^.^
The answer is $10.45

i cant get this at all

Answers

Answer:

3. Adjacent and Supplementry

What’s 10 percent of 40 percent

Answers

Answer:

4

Step-by-step explanation:

What is 10 percent of 40? = 4.

Answer:

0.04

Step-by-step explanation:

plzz help me

Solve -24 = 6x. Show your work.

Answers

Answer:

x = -4

Step-by-step explanation:

-24 = 6x

________

Switch sides:

6x = -24

________

Divide both sides by 6:

6x/6 = -24/6

________

Simplify:

X = -4

Answer:x = -4

Step-by-step explanation:

Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *

a,38.29
b.27.29
c.0.55
d.0.45

Answers

The answer is c - 0.55

what is preferred stock

Answers

Answer:

A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.

Step-by-step explanation:

find the value of x ​

Answers

Answer:20

Step-by-step explanation:

x=20(congruent side)

Hope it helped you.

Plz mark me brainliest.

Hey I need some help here!
6x +2 (5x -6)

Answers

Answer:

1 6  −  1 2

Step-by-step explanation:

im pretty sure :OO if it's wrong im sorry :((

Do my boys got me? Also giving brainliest ! Need D, E, and F

Answers

Answer:

Darn, I could have helped you but I'll leave it to the boys :) goodluck!!

Find the value of x in the given right triangle.


DECIMAL FORM ROUNDED TO THE NEAREST TENTH !

BRAINLEST to whoever right.

Answers

Answer:

The value of x = 65.4°

Step-by-step explanation:

Given

hypotenuse = 12

To determine

The value of ∠x = ?

Using the trigonometric ratio

cos x = adjacent / hypotenuse

here:

Adjacent of angle ∠x = 5hypotenuse  = 12

substituting adjacent = 5, hypotenuse = 12 in the formula

cos x = adjacent / hypotenuse

cos x = 5 / 12

x = arccos (5/12)

x = 65.4°

Therefore, the value of x = 65.4°

Answer:

The answer is 65.3 to the nearest tenth

Step-by-step explanation:

You'll use the Pythagoras theorem to find the unknown side first

then you'll use the sin rule to solve for x

X
X
60°
60°
X=[ ? 1°
Enter

Answers

X=30, because the sum must be 180 and than
x+x+60+60=180
2x=60
X=30
Answer: X=30
Explanation: a entire triangle has a total of 180 degrees, I’m going to subtract 90 and 60 from 180 and that gives me the remaining amount(side) 30 which is the answer

Help ill mark u brainliest

Answers

answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:

The triangles cannot be proven congruent.

SAS

SSS

AAS

ASA

HL

Answers

Answer:

I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle

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