Don purchased software for $99.95. How much tax was
charged if the tax rate was 9.5%?

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

Answer:

  you have to read at least 5 books per month (on average)

Step-by-step explanation:

The given inequality is incorrect. "At least 75" means "greater than or equal to 75", so the inequality should be ...

  15x ≥ 75

  x ≥ 5 . . . . . . divide by 15

You have to read at least 5 books per month.

Answer:

Step-by-step explanation:

18x + 3y = 51

-2x - 3y = -3

16x = 48

x = 3

-2(3) - 3y = -3

-6 - 3y = -3

-3y = 3

y = -1

Answer:

-65

Step-by-step explanation:

Answer:

-65

Step-by-step explanation:

-3(22) + 1

-65

Answer:28

Step-by-step explanation:

Answer:28 quarts

Since there are 4 quarts in a gallon you can multiply 4x7 which is 28. Its 28

Answer:

See below

Step-by-step explanation:

I'm not positive that this is right, but I'll try.

No, and no. 6 is not a perfect cube, and that is a multiple of 3.

8 is a perfect cube that is not a multiple of three.

I hope this helps, sorry if I'm wrong.

Answer:

Step-by-step explanation:

The consecutive integers are increasing by 1

k ← the smallest integer

k+1 ← the middle integer

k+1+1 = k+2   ← the largest integer

k + k+1 + k+2 = 36

   3k + 3 = 36

     ÷3         ÷3

    k + 1  =  12

        -1       -1  

        k  =  11

k+1 = 11 + 1 = 12

k+2 = 11 + 2 = 13

Answer:

See attached graph

Step-by-step explanation:

The equation is given as;

[tex]y=\frac{2}{3} x^{2} +4x+4[/tex]

Use a graph tool to graph and view as attached;

Answer:

Step-by-step explanation:

Answer:0.3

it is very easy wants you connect with math

Answer:

netflix is all I use for the website lol

Answer:

There's no such place to watch anime without ads. Jk I'm not quite sure but yeah.

Answer:

It's false their is no variable to solve it with i think you forgot to put the variable

Step-by-step explanation:

Answer:

Y=8

ST=31

RT=81

Step-by-step explanation:

;)

Answer:

4

Step-by-step explanation:

Answer:

x^2 - y^2 = 1 - 4 = -3

Step-by-step explanation:

sub the given number then minus

Answer: some times true

Step-by-step explanation:

Answer:

sometimes true

Step-by-step explanation:

hope this helps!

Answer:  see below

Step-by-step explanation:

Step 1: Find the slope (m) using the formula:    [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1. (-2, 3) and (0, 2)

Step 1:  [tex]m=\dfrac{3-2}{-2-0}\quad =\dfrac{1}{-2}\quad =-\dfrac{1}{2}[/tex]

Step 2:  [tex]y-2=-\dfrac{1}{2}(x-0)[/tex]

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

                 [tex]\large\boxed{y=-\dfrac{1}{2}x+2}[/tex]

2. (2, 3) and (-3, 0)

Step 1:  [tex]m=\dfrac{3-0}{2-(-3)}\quad =\dfrac{3-0}{2+3}\quad =\dfrac{3}{5}[/tex]

Step 2:  [tex]y-0=\dfrac{3}{5}(x-(-3))[/tex]

                   [tex]y=\dfrac{3}{5}(x+3)[/tex]

                 [tex]\large\boxed{y=\dfrac{3}{5}x+\dfrac{9}{5}}[/tex]

3. (-4, 4) and (4, 5)

Step 1:  [tex]m=\dfrac{4-5}{-4-4}\quad =\dfrac{-1}{-8}\quad =\dfrac{1}{8}[/tex]

Step 2:  [tex]y-4=\dfrac{1}{8}(x-(-4))[/tex]

             [tex]y-4=\dfrac{1}{8}(x+4)[/tex]

             [tex]y-4=\dfrac{1}{8}x+\dfrac{1}{2}[/tex]

                 [tex]\large\boxed{y=\dfrac{1}{8}x+\dfrac{9}{2}}[/tex]

4. (5, 3) and (-1, 5)

Step 1:  [tex]m=\dfrac{3-5}{5-(-1)}\quad =\dfrac{3-5}{5+1}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}[/tex]

Step 2:  [tex]y-3=-\dfrac{1}{3}(x-5)[/tex]

             [tex]y-3=-\dfrac{1}{3}x+\dfrac{5}{3}[/tex]

                 [tex]\large\boxed{y=-\dfrac{1}{3}x+\dfrac{14}{3}}[/tex]

5. (-3, 3) and (0, -1)

Step 1:  [tex]m=\dfrac{3-(-1)}{-3-0}\quad =\dfrac{3+1}{-3-0}\quad =\dfrac{4}{-3}\quad =-\dfrac{4}{3}[/tex]

Step 2:  [tex]y-3=-\dfrac{4}{3}(x-(-3))[/tex]

             [tex]y-3=-\dfrac{4}{3}(x+3)[/tex]

             [tex]y-3=-\dfrac{4}{3}x-4[/tex]

                 [tex]\large\boxed{y=-\dfrac{4}{3}x-1}[/tex]

Answer:

The independent variable

Step-by-step explanation:

b

Step-by-step explanation:

the amount that he gets paid for every lawn does not change only the amout for every hour

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

Answer:

X equals 5

Step-by-step explanation:

3x+1=5x-9

3(5)+1=5(5)-9

15+1=25-9

16=16

Answer:

I think it is MN and NP maybe

Answer:

Examples of such numbers are;

59,995

60,001

58,754

Step-by-step explanation:

Here, we want to write three numbers which when rounded to the nearest ten thousand is 60,000

We can suggest the following;

59,995

60,001

58,754

Answer:

k =-2

Step-by-step explanation:

Using the slope formula

( y2-y1)/(x2-x1) = m

( k- -1)/( -10 - -8) = 1/2

( k+1)/ ( -10+8) = 1/2

( k+1) /-2 = 1/2

Multiply each side by -2

( k+1) /-2 * -2 = 1/2 * -2

k+1 = -1

Subtract 1 from each side

k+1-1 = -1-1

k = -2

Answer:

K= -5 because -10 divided by -5 which is K gives u 2

Step-by-step explanation:

It is given that,

John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :

Speed = distance/time

v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]

The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.

Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :

y = 0.1190x

In this problem, the constant of proportionality is 0.1190.