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

Answer:

-4 ..................

Answer:

It's 4

Step-by-step explanation:

If you add them it gives you -16 den you divide it by 4 which it will be 4

Answer:

x=25 I believe

Step-by-step explanation:

So, 130° should be for both the angles at the top, so that leaves 100° left for the ones at the bottom because 360 - 260 = 100

So since the 2 angles at the bottom should be equal to each other, we have 4x for the bottom 2 angles.

So, 4x = 100

So, x = 25

Answer: n=8

Step-by-step explanation:

1. Subtract 4.4n on both sides:

2n-10=6

2. Add 10 on both sides:

2n=16

3. Divide both sides by 2:

n=8

Have a nice day :D

Answer:1.95

Step-by-step explanation:

Answer:5

Step-by-step explanation:

because idrk my teacher just answered this question and i thought i would share :)

Answer:

$1.35

Step-by-step explanation:

Answer:

0.0135

Step-by-step explanation:

Convert  15% to a decimal.

0.15  ⋅  9%

Convert  9% to a decimal.

0.15  ⋅  0.09

Multiply  0.15  by  0.09.

0.0135

Question :

The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you

would pay in New Mexico for an item of cost c?

A. t = 5.125c

B. t = 0.5125c

C. t = 0.05125c

D. t = c = 0.05125

(E. t = 5.025 c

 Answer:

C. t = 0.05125c

Step-by-step explanation:

First we have to understand the meaning of % sign. It is called percent or percentage. Where cent means 100. Now all we know that 100 cents make one dollar, that is why these 100 smaller units are called as cents.

Now if sales tax is 5.125 percent, remember that if there is $100 capital amount, it will be $5.125 tax.

Now how much would it be for $1?

simply, it will be $0.05125

Now for equation in option C

t = 0.05125 x 1

t = 0.05125

here you can see that the equation is satisfied.

So from this we can establish the equation that for any cost, the relation between tax and cost will be:

t = 0.05125c

Complete question :

Jason makes a fruit salad using only strawberries and blueberries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups.

Options is in the attached picture

Which statement describes the contents of Jason's fruit salad?

Answer:

Blueberry makes up 5/9 of the fruit salad

Step-by-step explanation:

Ratio of strawberries to blue berries is 4cups to 5 cups

Hence, in a fruit salad makeup ;

We can say we have 4 cups of strawberry for every 5 cups of blue berry

Fraction of strawberry and blueberries :

Total ratio = (4 + 5) = 9

Fraction of strawberry = 4/ 9

Fraction of blueberry = 5/9

Hence, from the option  , the statement ;

Blueberry makes up 5/9 of the fruit salad is true since both are the only ingredients used

Answer:

3,750

Step-by-step explanation:

Answer:

sum of interior angles of octagon is 1080 degrees

From figure ,

136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080

so, x = 1080 - 936

        = 144

Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon

Answer:

144 degrees.

Step-by-step explanation:

There are 8 sides to this polygon so the total internal of

angles = 180( 8 - 2)

= 1080

Adding up the 7 given angle we get  936

So x = 1080 - 936

= 144.

Answer:

C.

Step-by-step explanation:

Answer:

Answer: C. 32/24

Step-by-step explanation:

8 x 4 and 6 x 4

Answer:

A triangle with a base of 7.18 inches and a height of 5.4 inches

Step-by-step explanation:

You have to multiply 7.18 by 5.4

7.18*5.4=38.772

If you do the math to the other equations, they are all less then the triangle.

Answer:

367

Step-by-step explanation:

367 because it is positive

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

Answer:

Perimeter: 310 units

Step-by-step explanation:

If x=4 and y=5, then the measure of the lengths would be..

8y+19= 8(5)+19= 59

8x+64= 8(4)+64= 96

13y-6= 13(5)-6= 59

16x+32= 16(4)+32= 96

To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59

96=96

To find the perimeter of any shape, we add all the side lengths together

59+59+96+96= 310

Hope I was able to help! Good Luck!

Answer:

Perimeter is 310 unis

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4[tex]y^{2}[/tex] = 6[tex]y^{2}[/tex] - 40

add 40 to both sides and subtract 4[tex]y^{2}[/tex] from both sides: 40 = 2[tex]y^{2}[/tex]

you get: 20 = [tex]y^{2}[/tex]

root square on both sides: [tex]\sqrt{20}[/tex] = [tex]\sqrt{y^{2} }[/tex]

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6[tex]y^{2}[/tex] -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Answer:45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: The answer is 8

Step-by-step explanation: 8 x 25 =200

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

Answer:

5.2 ft

Step-by-step explanation:

[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]

Answer: The number of shirts you can order = 40

Step-by-step explanation:

Let x = Number of shirts

At T-Shirts R Us,

Total cost = 50+1.50x

At T-Shirt Planet,

Total cost = 75+x

As per given, when the cost at both companies is the same then

[tex]1.50x+50=x+70\\\\\Rightarrow\ 1.50x-x=70-50\\\\\Rightarrow 0.50x=20\\\\\Rightarrow\ x=\dfrac{20}{0.50}=40[/tex]

Hence, the number of shirts you can order = 40

Answer:

30

Step-by-step explanation:

Answer:

(b)-length 20 cm

Answer:

f(1)=0

f(x+1)=f(x)+11

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]

Sorry that's all i know

Answer:

6.0

Step-by-step explanation:

20% of 5 is 1, so you simply add 1 to 5 and you get this result:

5 + 1 = 6

Hope this helps

Answer:

64 sq in

Step-by-step explanation:

set up a proportion:

12 = 6

16      x

cross-multiply:

12x = 96

x = 8

A = b·h/2

A = 16 x 4

A = 64