8th grade work

20 - 25. points

Answer:  20

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Explanation:

The two negatives cancel to form a positive. A negative is just opposite. So we have two opposites canceling.

15 - (-5) = 15 + 5 = 20

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Here's another way to look at it:

Let's say we're on the 15th floor of a skyscraper. We can think of each floor of the skyscraper as part of a vertical number line (or ruler).

If we go up 5 floors, then we write 15+5 = 20 showing we end up on the 20th floor.

If we go down 5 floors, then we write 15-5 = 10

Adding makes us go up, subtracting makes us go down.

If we add on a positive number, then we go up, but adding on a negative number ultimately has us go downward.

This is because of something like 15 + (-5) = 15 - 5 = 10.

Subtracting a negative is really the same as adding. Subtracting pulls us down, but the negative counterbalances things to go the opposite direction (going up). So that's why 15-(-5) = 15+5 = 20.

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Yet another way to look at it:

Negative values are useful in finance when talking about debt.

If you have 5 iou's of debt, then we write this as -5

If you transfer that debt to a friend whos account balance is $15, then their balance becomes 15 + (-5) = 10 dollars. They would have 10 dollars left after paying the debt.

Now let's say the friend got those iou's taken away and someone else paid for them. That would mean we would say 15 - (-5) = 15+5 = 20 is that first friend's new balance. Effectively they got 5 additional dollars when that debt was taken off their hands.

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

[tex] \tan(41°) = \frac{26}{x} [/tex]

[tex]0.869 \times x = 26[/tex]

[tex]x = \frac{26}{0.869} [/tex]

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

When

eggs = 6, Potatoes = 15

Step-by-step explanation:

Ratio of egg to potatoes

Egg : potatoes

2 : 5

If she uses 6 eggs, how many potatoes will she need?

Eggs = 6

Potatoes = x

2 : 5 = 6 : x

2 / 5 = 6 / x

Cross product

2 * x = 5 * 6

2x = 30

x = 30 / 2

x = 15

When

eggs = 6, Potatoes = 15

Answer:

Step-by-step explanation:

:(

Answer:

11?

Step-by-step explanation:

Hope I'm right! (:

Answer:

11

Step-by-step explanation:

15 + 8 = 23

23 - 12 = 11

hope it's right

Answer:

17460°

I hope it will be useful.

Answer:

There are [tex]35.74\ cm^2[/tex] of felt left over.

Step-by-step explanation:

The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.

The portion of felt leftover is the difference between the area of the square and the area of the circle.

The area of the square is:

[tex]A_s=(8\ cm)^2=64\ cm^2[/tex]

The area of the circle is:

[tex]A_c=\pi(3\ cm)^2=3.14*9\ cm^2[/tex]

[tex]A_c=28.26\ cm^2[/tex]

The remaining area of the piece of felt is:

[tex]A=64\ cm^2-28.26\ cm^2[/tex]

[tex]A=35.74\ cm^2[/tex]

There are [tex]35.74\ cm^2[/tex] of felt left over.

Answer:

x [tex]\geq[/tex] -2

Step-by-step explanation:

Remove parentheses and distribute -4 and -9, calculate the difference,  move the variable and constant,  collect like terms. ( -2x [tex]\leq[/tex] 4), and divide both sides, and you'll end with -2.

Answer:

x > -2 (last choice)

Step-by-step explanation:

Using the distributive property multiple -4 to both integers

-24 - 20x - 7 < -18x - 27

-31 - 20x < -18x - 27

Add 27 on both sides

-4 - 20x < -18x

Add 20x on both sides

-4 < 2x

Divide each side by 2

x > -2

Answer:

yes.

Step-by-step explanation:

The eqation of the line is y=1/2x+3 so when we plug in x as 20 y is equal to 13

Answer:

Yes it is on the line becuase if you find the slope of the line which is 1/2. We can just use rise over run from there. So we know 1 is y and 2 is x Becuase slope is written in y/x. And we can fins slope by just calculating the rise over run or suing the formula y2-y1/x2-x1. So the last pont shown on the line is (10,8) so we can add 1 to the y or in this case 8 and add 2 to the x or in this case 10. You’ll get (12,9). We know this works becuase if you find the slope of (12,9) and (10, 8), you’ll get 1/2 again which is the same slope so we know it’s right. Now we just add using the same slope to the now new point. We add 1 to 9 and add 2 to 12. (14,10). Still, if you find the slope, it’ll still be 1/2. Now keep repeating that and you’ll get (20, 13) eventually. And we can check by calculating the slope. (20,13) and (10,8), you could use any point on the coordinate plane/ and you’ll get 1/2. A easier way could just be calculating the slope first and you’ll get 1/2 from any two points and then use any two points to calculate the slope for (20,13). It’ll still be the same thing.

x^2 + 8x - 4 = 0

(x^2 + 8x + 8/2^2) - 4 - 8/2^2 = 0

(x^2 + 8x + 16) - 4 - 16 = 0

(x^2 + 8x + 16) - 20 = 0

(x + 4)(x + 4) - 20 = 0

The number that is to be added to complete the square is 8/2^2, or 16.

Answer:

AY = 16

IY = 9

FG = 30

PA = 24

Step-by-step explanation:

The centroid of the triangle divides each median at the ratio 1: 2 from the base

Let us solve the problem

In Δ AFT

∵ Y is the centroid

∵ AP, TI, and FG are medians

→ By using the rule above

∴ Y divides AP at ratio 1: 2 from the base FT

∴ AY = 2 YP

∵ YP = 8

∴ AY = 2(8)

∴ AY = 16

∵ PA = AY + YP

∴ AP = 16 + 8

∴ AP = 24

∵ Y divides TI at ratio 1: 2 from the base FA

∴ TY = 2 IY

∵ TY = 18

∴ 18 = 2

→ Divide both sides by 2

∴ 9 = IY

∴ IY = 9

∵ Y divides FG at ratio 1:2 from the base AT

∴ FY = 2 YG

∵ FY = 20

∴ 20 = 2 YG

→ Divide both sides by 2

∴ 10 = YG

∴ YG = 10

∵ FG = YG + FY

∴ FG = 10 + 20

∴ FG = 30

Answer:

15.6 feet

Step-by-step explanation:

I have no time to explain

Answer:

y=2x-5

Step-by-step explanation:

Hi

-7 - 2 + 6 = -9 + 6 = 6 - 9 = - 3

have a good day ;)

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation:

Answer:

5=12

3=? then Criss cross it and you will get 12*3 divided by 5 then you get 7.2

so the answer will be 7 days

Answer:

Step-by-step explanation:

-2x^-1-7

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer: 48

Step-by-step explanation:

-10x+6y=54 then + it to each other

-6x-6y=-6

-16x=48

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer:

2x + 7y and 7g + 3h

Step-by-step explanation:

(a)

3x + 5y - x + 2y ← collect like terms

= (3x - x) + (5y + 2y)

= 2x + 7y

(b)

3g + 5h + 4g - 2h ← collect like terms

= (3g + 4g) + (5h - 2h)

= 7g + 3h

Answer:

A) 2x + 7y

B) 7g + 3h

Step-by-step explanation:

A)   3x + 5y - x +2y =  

      3x - x = 2x

      5y + 2y = 7y                ans:   2x + 7y

B)   3g + 5h +4g - 2h =

     3g + 4g = 7g

     5h - 2h  = 3h                ans:   7g + 3h

Answer:

A. 11/12

Step-by-step explanation:

A. 11/12

B. 9/16

C. 1/12

D. 9/24

Cara = 8/12 candy bars

Marcus = 1/4 candy bars

What fraction of the candy bar did Cara and Marcus eat altogether?

Total candy bars = Cara + Marcus

= 8/12 + 1/4

= 8+3/12

= 11/12 candy bars

The correct answer is A. 11/12

Answer:

D ( x -2i sqrt(2)) ( x+ 2i sqrt(2))

Step-by-step explanation:

x^2 + 8

We want to factor so rewrite as squares

x^2 + (2sqrt(2))^2

Rewrite with a subtraction sign i^2 = -1

x^2 - (2*i*sqrt(2))^2

This is the difference of squares

a^2 - b^2 = ( a-b) (a+b)

( x -2i sqrt(2)) ( x+ 2i sqrt(2))

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex](x + 2 \sqrt{2} i)(x - 2 \sqrt{2} i) \\ \\ = ( {x})^{2} - {(2 \sqrt{2}i )}^{2} \\ \\ = {x}^{2} - {2}^{2}. {( \sqrt{2} )}^{2} {i}^{2} \\ \\ = {x}^{2} - 4.2( - 1) \\( \because \: {i}^{2} = - 1) \\ \\ = {x}^{2} + 8[/tex]

Answer:

D. x-5 / x+4

Step-by-step explanation:

(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)

=-3x (x²-3x-10) / -3x(x²+6x+8)

=-3x(x+2)(x-5) / -3x(x+2)(x+4)

=x-5 / x+4

Answer:

oooooooof

Step-by-step explanation:

Answer:

22º

Step-by-step explanation:

Answer:

1) S1 = 4·x² - 12·x + 9

S2 = 12·x² - 26·x + 12

S3 = 6·x² - 5·x - 6

2) S = 10·x² - 33·x + 27

Step-by-step explanation:

The length x in cm > 1.5

Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1

1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height

The base of the triangle ABC = Segment BC = 4·x - 6

The height of the triangle ABC = Segment AB = 2·x - 3

Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9

S1 = 4·x² - 12·x + 9

b) The area of the rectangle CBFG = S2 = Base × Height

The base of the rectangle CBFG = BC = 4·x - 6

The height of the rectangle CBFG = BF = 3·x - 2

The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12

The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12

S2 = 12·x² - 26·x + 12

c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB

The long side of the trapezoid ADEB = BE = 4·x + 1

The short side of the trapezoid ADEB = AD = 2·x + 3

The height of the trapezoid ADEB = AB = 2·x - 3

The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6

∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6

S3 = 6·x² - 5·x - 6

2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27

Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

i multipled 3/5 by 3 cause 20 times 3 is 60

Answer:

her score would be -22

Step-by-step explanation:

20-42=-22

Answer: D. P * (1 + 0.272/12)¹² + 96 = P * (1 + 0.303/12)¹²

Step-by-step explanation:

Credit Card A deal over the course of a year:

Payments are done per month so values need to be converted to monthly figures.

APR per month = 27.2%/12

Period = 1 year * 12 months = 12

= P * (1 + 27.2%/12)¹² + 96

Credit Card B deal over a year

= P * (1 + 30.3%/12)¹²

The Principal that will enable both cards to offer the same deal will therefore be:

P * (1 + 27.2%/12)¹² + 96 = P * (1 + 30.3%/12)¹²

Answer:

The number is 83,194

Step-by-step explanation:

The value of 9 in the given number is 900

So

out of all the options, we want a number in which the value of 9 there is 1/10 of 900 which is 90

The correct answer here is 83,194