What is a point-slope equation of the line with a slope -10 that goes through the point (1,4)
A. y + 4 = 10 (x + 1)
B. y + 4 = -10( x + 1)
C. y - 4 = 10 (x - 1)
D. y - 4 = -10 (x - 1)

Answer:

The amount Raphael spend on DVD including tax is $16.2

Step-by-step explanation:

Tax on DVD = 8%

Amount of tax = $1.20

We need to find the amount Raphael spend on DVD including tax.

Let the cost of DVD = x

We can write the equation: [tex]8\%\:of\:x=1.20[/tex]

Because the tax amount is 8% of actual cost and is equal to 1.20

Now solving to find x:

[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]

So, the cost of DVD = $15

Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax

The amount Raphael spend on DVD including tax = 15 + 1.2

                                                                                    = 16.2

So, The amount Raphael spend on DVD including tax is $16.2

Answer:

42 1/3

Step-by-step explanation:

We subtract 26 1/6 from 68 1/2. We do this by finding the LCM of 6 and 2. That is 6. We multiply 1/2 by 3/3 to get 3/6. Now, we subtract. 68 - 26 is 42, and 3/6 - 1/6 is 2/6. Our answer is 42 2/6. That can be simplified to 42 1/3.

Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Jenny has  [tex]68\frac{1}{2}[/tex]  pages.

She reads [tex]26\frac{1}{6}[/tex]

Let's suppose the remaining pages is x, then the value of x:

[tex]\rm x = 68\frac{1}{2}-26\frac{1}{6}\\\\\rm x = \frac{137}{2}-\frac{157}{6} \\\\\rm x = \frac{411-157}{6} \\\\\rm x = \frac{254}{6}[/tex]

[tex]\rm x = \frac{127}{3}[/tex]  or

[tex]\rm x = 42\frac{1}{3}[/tex]

Thus, Jenny will have 42 whole 1/2 pages left after she reads 26 whole 1/6 pages if Jenny has a total of 68 whole 1/2 pages.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

measure is the angle right- if so it's 76 each

180-28=152

152÷2=76

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

under 5 round down, 5 and up round up

Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

Answer:

7 hours

Step-by-step explanation:

99.10-34=65.1

65.1 divide by 9.30=7

Hope this helps!!

Answer:d) g(x)=x^1/3-1.5

Step-by-step explanation:

Answer:

The answer will b 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

(D).

Step-by-step explanation:

[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]

(A). 12 + 16 > 20

(B). 10 + 18 < 30

(C). 4 + 5 < 12

(D). 8 + 16 = 24

Answer:

i know the answer

Step-by-step explanation:

Answer:

I really dont know

Step-by-step explanation:

Answer:

step below

Step-by-step explanation:

1. (0,9) (9,0) or (7,2) or (1,8)

2. m = rise/run = (0-9) / (9-0) = -1

3. y = mx + b   for point (9,0)

y intercept ( b) = y - mx = 0 - (-1)*9 = 9

4. equation for trend line: y = -x + 9

check use (7,2): 2 = -7 + 9

Answer:

309.12

Step-by-step explanation:

A = total amount

P = principal

r = interest rate

n = number of times interest is compounded

t = time (in years

A = P(1 + [tex]\frac{r}{n}[/tex])^nt

A = 300(1 + [tex]\frac{.03}{12}[/tex])^12 · 1

A = 300(1.0304)

A = 309.12

Answer:

408

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

-8(x+2)=24   x= -5

-8x + (-16) = 24   x= -5

-8*x = -8x

-8*2= -16

Answer:

CI = 6,IA = 8

Step-by-step explanation:

I cant explain it no further

Answer:

1. It is not a fair game.

2. The game is not fair because the probability of winning and the probability of losing are not equal.  In a fair game, the probability of winning is equal to the probability of losing.  In this game, the probability of losing is 0.81 or 81%, while the probability of winning is 19% (100 - 81).

Step-by-step explanation:

Cost of playing the game one time = $3

Total number of bills in the box = 124 (100+20+3+1)

Chance of losing is represented by 100 of $1 bills = 100/124 = 0.81 or 81%

Chances of losing are represented by 20 of $5 bills, 3 of $20 bills, and 1 $100 bill = 0.19 or 19% (20/124 + 3/124 + 1/124).

Answer:

I think this would be 2n+3

Step-by-step explanation:

I learned this in class and I think that since you Gerry has twice the number of CDs (n) + 3, it would be 2n+3. I'm in middle school though, so I don't know if in highschool there's another step, but I hope this helps! :)

Answer:

[tex] - 5x + 2y = 23 \\ when \: \: x = 3 \: and \: y = 4 \\ = - 5(3) + 2(4) \\ = - 15 + 8 \\ = 7 \\ no \: it \: doesnot \\ \\ \\ if \: equation \: is \: 5x + 2y = 23 \\ = 15 + 8 \\ = 23 \\ hence \: it \: satisfies[/tex]

Answer:

f(-4) = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(n) = n²

f(-4) is n = -4

Step 2: Evaluate

Hey there!

The correct answer is adjacent.

The exact definition in the Oxford dictionary is "next to or adjoining something else."

Hope it helps and have a great day!

P.S. A picture of adjacent angles is below, you can see they are adjacent because they are connected.

Answer:

1. (-1)(x^2+x-6)

2. (-1)(x+3)(x-2)

Step-by-step explanation:

Factoring

It's given the trinomial

[tex]-x^2-x+6[/tex]

1. There is no common factor (given).

2. Factor out -1:

Each term is divided by -1:

[tex]\mathbf{(-1)(x^2+x-6)}[/tex]

3. Now we factor the remaining trinomial. We find two numbers whose sum is 1 and the product is -6. These are 3 and -2, thus the trinomial is:

(-1)(x+3)(x-2)

Answer:

5 feet

Step-by-step explanation:

The rose garden is trianglar and so the total of the two shorter sides need to equal more than the longest side. In this case 4+x=9. 6,7, and 8 all meet these requirments but 4+5 is 9, 9=9 which means 5 feet cannot be used

Answer:

I think this is the answer

equilateral triangles are made of all even sides with a angle of 60 degrees

isosceles triangle has two of the same sides and ond different side

scalene triangles have all different sides

brainiest please

Answer:

Step-by-step explanation:

think of this as a system of equations where the colors just represent a variable like x or y

I'll just arbitrarily set colors to some variable letter so we have

purple = x

green =y

blue =z

red = a

yellow = b

so we can now rewrite the 4 known equations of the system :)

Eq. 1)  x+y = 13

Eq. 2) 2y+2z=18

Eq. 3) 2x+3y=31

Eq. 4) z + 4a = 12

Eq. 5) a * y = b

so solve the 1st eq for y   =>  y =13-x    then plug that into the 3rd eq and slove for x =>  2x + 3(13-x) =31

2x + 39 -3x = 31

2x-3x = 31 - 39

-x = -8

x=8

plug 8 into Eq. 1 for x and solve for y

8+y = 13

y=5

plug y into Eq 1 and solve for z

2(5) +2z = 18

10 +2z = 18

2z = 8

z = 4

plug z into E1 4 and solve for a

4 + 4a = 12

4a = 8

a = 2

plug a and y into Eq 5 and solve b

2 * 5 = b

10=b

go to the drawing and plug in each of the color values that we put as variable letters above and get an A+ on your homework..  :)

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)

y = [tex]-\frac{1}{6}[/tex] x - 2