Grayson is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $130. Grayson will be earning a base salary of $58 per month from the gym, plus an additional $12 for every class he teaches. If Grayson teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How much will Grayson's expenses and earnings be? How many classes will that take?

Answer:

1000/800 = 125% profit

Answer:

25%

Step-by-step explanation:

Profit = Selling price - Cost price

= 1000 - 800

= $200

%Profit = Profit

_____. × 100. ( profit over cost price times 100)

Cost Price

= 200

____. × 100%

800

= 25%

Step-by-step explanation:

-13/20 = - 0.65

7/5 = 1.4

So

-0.65 - 1.4

= - 2.05

Answer:

81

Step-by-step explanation:

9 x 3 x 3 is 81

Answer:

18

Step-by-step explanation:

Area=3x3=9 units

9+9=18

Answers

1.9 hours

Step-by-step explanation:

14 plus 3 = 17

32 divide by 17 = 1.9 hours

1 hour 0.9 multiply by 60

1.9= 1 hour 54 minutes

Answer:

(2x+3) x (x-7)

Step-by-step explanation:

Answer:

The answer is -729/2

Step-by-step explanation:

First, we need to set up an equation.

6x + 8.75 = 40.55

Then, we use the equation to solve for how much a pound of BBQ costs.

To move 8.75 to the other side, we have to subtract 8.75 from both sides of the equation.

6x = 40.55 - 8.75

6x = 31.8

Next, we divide both sides by 6 to get the value of x.

6x/6 = x

31.8/6 = 5.3

Lastly, add the correct unit.

$5.3.

Therefore, the price per pound of BBQ is $5.30

Answer:

1/10 or 0.10 or 10%

Step-by-step explanation:

Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.

Hope this helps! :)

Answer:

3 pounds

Step-by-step explanation:

a pound is 16oz so 3x16=48

Answer:

i think that the answer would be like 1,0000000 if no idk what to tell you

Step-by-step explanation:

use the formula

speed = distance ÷ time

time change in mins

1 hours = 60 mins

speed = 45 ÷ 60

speed = 0.75

Answer: 18.38 feet

Step-by-step explanation:

Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.

Mathematically speaking:

√338 = 18.3847 feet  

Since the number after the hundredths place is less than 5:

Length of the wire: 18.34 feet (rounded to the nearest hundredth)

Feel free to ask for more if needed or if you did not understand something.

Step-by-step explanation:

work is pictured and shown

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

Answer:

Step-by-step explanation:

1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where

d represents common difference in the amount between 2 consecutive weeks.

a = 220 represents the first term of the sequence.

Tn = w = the amount at the end of n weeks

n = m represents the number of weeks

2) The equation used to represent the amount of money Shelly has in her account each week is

w = 220 + (w - 1)d

Answer:

Step-by-step explanation:

Let x be the random variable representing the algebra test scores of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 81.5

σ = 5.1

the probability that a student scores below 76.4 is expressed as

P(x ≤ 76.4)

For x = 76.4

z = (76.4 - 81.5)/5.1 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.159

Therefore, the number of students that scored below 76.4 is

0.159 × 130 = 21 students

Answer:

y is greater than or equal to 0.5/2.5x-1/2

y is greater than -2x

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

Pyramid of Gyza:

Base: 227m * 227m

Height: 150m

V=(LWH)/3

V=(227*227*150)/3

V= 7,729,350/3

V=2, 576,450 m^3

Temple of Kukulkan

Base: 55.7*55.7

Height: 29

V=(LWH)/3

V=(55.7*55.7*29)/3

V=89,972.21/3

V= 29,990.736 m^3

Answer:

Step-by-step explanation:

If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.

Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;

V = dh/dt = -32t+160

at maximum height;

0 = -32t+160

32t = 160

t = 160/32

t = 5seconds

This means that the tennis ball reaches the maximum after 5seconds.

Step-by-step explanation:

there's the solution ...i hope you can read

Answer:

As the picture I uploaded, the area is divided into 1 triangle and 2 rectangles.

Add up the area of these figures, we have the total area:

A = area of triangle + area of 2 rectangles.

  = 11 x (3 + 5 + 13 -10)/2 + 4 x 5 + 12 x 13

  = 236.5 (mm2)

Hope this helps!

:)

Answer:

236.5 mm^2.

Step-by-step explanation:

We can split this up into 2 rectangles:

1 rectangle =  8 * 13 = 104mm^2

2nd rectangle = 4 * (13 + 5) = 4 *18 = 72 mm^2

The base of the triangle = 11mm ,

and the height = (3 + 5 + 13) - 10 = 21 - 10 = 11mm.

So it area = 1/2 * 11 * 11

= 60.5 mm^2.

total area = 104 + 72 + 60.5

= 236.5 mm^2.

Answer:

I think that answer is (4).

Explanation:

Since the slope is negative, as x increases, the function decreases. It also has a y-intercept at 6 so that would eliminate option 2 and 3. Option 1 would not work because the function is increasing.

I hope I helped you! Please mark me brainliest if I am correct. Thanks!

Answer:

option 4

Step-by-step explanation:

Because the slope is negative, as x increases, the function decreases. It also has a y intercept at 6 so that would cancel option 2 and 3. Option 1 would not work because the function is increasing.

Answer: 75 students

Step-by-step explanation:

Skyler goes to a school that has 100 students in it. She asks 40 random students if they like the new 8.30 am start to the day and 30 of them say no they don't like it. This shows that: 30/40 = 3/4 of the students don't like it.

Since the school has 100 students, the number of students that doesn't like the 8.30 a.m start will be:

= 3/4 of 100

= 3/4 × 100

= 3 × 25

= 75

Answer:

97.5%

Step-by-step explanation:

Solution:-

- Denote a random variable,

           X: Scores of all juniors in a school district centralized test.

- The random variable ( X ) follows normal distribution with the corresponding parameters:

                         X ~ Norm ( μ , σ^2 )

Where,     μ = Mean score

                σ = standard deviation of scores secured

- The given parameters for the normal distribution are:

                        X ~ Norm ( 74 , 8^2 )

- To draw a Normal curve we need to draw a bell shaped curve and annotate the following descriptions:

      Mean ( μ ) : The vertical center-line that bifurcates the normal curve

      1st standard deviation ( μ ± σ ) : First small division to the left and right about the mean ( μ ). [ 74 - 8 , 74 + 8 ] = [ 66 , 82 ]

      2nd standard deviation ( μ ± 2σ ) : Second small division to the left and right about the mean ( μ ). [ 74 - 16 , 74 + 16 ] = [ 58 , 90 ]

      3rd standard deviation ( μ ± 3σ ) : Third small division to the left and right about the mean ( μ ) - tailed. [ 74 - 24 , 74 + 24 ] = [ 50 , 98 ]

- Mark the associated percentage of scores that lies between 1st, 2nd and 3rd standard deviations from the mean ( μ ). Apply the Empirical rule of statistics. Which states:

    p (  μ - σ  ,  μ + σ ) = p ( 66 , 82 ) = 67 %

    p (  μ - 2σ  ,  μ + 2σ ) = p ( 58 , 90 ) = 95 %

    p (  μ - 3σ  ,  μ + 3σ ) = p ( 50 , 98 ) = 99.7 %

- See the attachment for the complete diagram.

- To determine the percentage of students who scored no more than 90 on the test.

- Employ the use of standardizing the required probability by using the following relation:

          p ( X < x ) = p ( Z < [ (x - μ) / σ ] )

          p ( X < 90 ) = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < [ (90 - 74) / 8 ] )

                             = p ( Z < 2 )

- We will employ the use of Empirical rule of second deviation ( μ ± 2σ ) to evaluate the required percentage:

       p (  μ - 2σ  < X <  μ + 2σ ) = p ( 58 , 90 ) = 95 %

       1 - p ( 58 < X < 90 ) = 1 - 0.95 = 0.05

       p ( X > μ + 2σ ) = p ( X > 90 ) = [ 1 - p ( 58 < X < 90 ) ] / 2

                                                      = [ 1 - 0.95 ] / 2

                                                      = 0.05 / 2

                                                      = 0.025

Hence,

     p ( X < 90 ) = p ( Z < 2 ) = 1 - p ( X > 90 )

                                            = 1 - 0.025

     Answer                          = 0.975 ( 97.5 )%        

Answer:

Complementary angles are two angles that add up to 90° in total measurement.

Example:

Angle 1 is 34°. It's complement would be 56°.

[tex]90 -34=56[/tex]

Brainilest Appreciated.

Answer:

a = 864 m/s^2

Step-by-step explanation:

You have the following equation for the motion of a body:

[tex]s(t)=115t+12t^3[/tex]

The acceleration of the body is given by the second derivative of s(t):

[tex]\frac{ds}{st}=115+12(3)t^2=115+36t^2\\\\\frac{d^2s}{dt^2}=\frac{d}{dt}\frac{ds}{dt}=36(2)t=72t\\\\a(t)=72t[/tex]

After t = 12 s you obtain for the acceleration:

[tex]a(t=12)=72(12)=864\frac{m}{s^2}[/tex]

hence, the acceleration is 864m/s^2 for t=12s

Answer:

55 ≤ x ≤100

Step-by-step explanation:

Given the battery life equation:  y = -10x +100 where x is hours driving

As we know that the maximum value of y = 100% when x= 0

<=> y ≤100

They are driving from Dallas to San Antonio which is a 4.5-hour drive.

=> x = 4.5 so we substitute x into the equation, we have:

y = -10*4.5 +100

<=> y = -45 + 100 = 55

Hence, the range of this situation is:

55 ≤ x ≤100

Hope it will find you well.

Answer:

5/25

Step-by-step explanation:

Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.

Answer:

3243 / 10829 ≈ 0.2995

Step-by-step explanation:

There are 52 cards in a deck.  5 cards are selected, so the number of possible combinations is ₅₂C₅.

Of the 5 cards selected, 1 is a Jack and 4 are non-Jacks.

There are 4 Jacks in a deck.  The number of ways of choosing 1 Jack from 4 is ₄C₁.

There are 48 non-Jacks in a deck.  The number of ways of choosing 4 non-Jacks from 48 is ₄₈C₄.

So the probability is:

P = ₄C₁ ₄₈C₄ / ₅₂C₅

P = 4 × 194580 / 2598960

P = 778320 / 2598960

P = 3243 / 10829

P ≈ 0.2995

Answer:

a] 1400 grams

b] 200 grams

c]600 grams

Step-by-step explanation:

1.4  x 1000=1400 grams

1.4 divide by 7 is 0.2 kg

0.2 x 3 = 0.6 x 1000=600 grams