Unit 3 lesson 16 homework

Answer:

The original prince is: $775            

Step-by-step explanation:

As we know that

The price after 20% discount = Discounted price = $620

We have to find the original price before the discount.

using the formula

(Discounted price) = (100 percent - discount percent) x (original price)

          $620            = (100% - 20%) x (original price)

          $620            = (80%) x (original price)

          $620             = (80/100) x (original price)

          $620              = (0.8) x (original price)

so

original price = $620/0.8

                      = $775

Therefore, the original prince is: $775                        

Answer:

The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.

Step-by-step explanation:

Now that i wrote this passage you have to figure out which one it is

Answer:

B

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

Answer:

y=1/4x+7/4

Step-by-step explanation:

Answer:

I think the answer is

x  = 6, -2/3

Step-by-step explanation:

I hope this helps please let me know if it is incorrect

Answer:

Step-by-step explanation:

Given function is h(t) = -16t² + 1500

a). For h(t) = 1000 feet,

   1000 = -16t² + 1500

   1000 - 1500 = -16t² + 1500 - 1500

   -500 = -16t²

    t² = [tex]\frac{500}{16}[/tex]

    t = [tex]\sqrt{31.25}[/tex]

    t = 5.59 sec

b). For h(t) = 940 feet,

   940 = -16t² + 1500

   940 - 1500 = -16t² + 1500 - 1500

   -16t² = -560

   t² = [tex]\frac{-560}{-16}[/tex]

   t = [tex]\sqrt{35}[/tex]

   t = 5.92 sec

c). For domain and range of the function,

  When the jumper comes down to the ground,

   h = 0

   0 =-16t² + 1500

   t² = [tex]\frac{1500}{16}[/tex]

   t = [tex]\sqrt{93.75}[/tex]

   t = 9.68 sec

  Since, x-values on the graph vary from x = 0 to x = 9.68,

  Domain : [0, 9.68]

  Vertex of the quadratic function: (0, 1500)

  Since, coefficient of the highest degree term is negative, parabola will open downwards.

  Therefore, y-values of the function will vary in the interval y = 0 to y = 1500

  Range: [0, 1500]  

Answer: C ( square root of 1.5 x 3.6)

Step-by-step explanation:

The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.

The standard deviation expression of the distribution P is √(1.50 × 3.6)

Given the Parameters :

The price for the variance of the distribution can be written as :

The standard deviation of the distribution D is related to the variance by the formular :

Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)

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Answer:

i cant see the graph if there was a graph with it it would really help lol

Step-by-step explanation:

Answer:

Don't Be mean Online. Be a buddy, Not a Bully

Step-by-step explanation:

Answer:

3/4 of a tank =3/4(13) gal

=39/4 almost 10 gal

Answer:

12

Step-by-step explanation:

the equation of the line is y=18/5x-216/5 and then find the x intercept and that is 12

The x-intercept of the line is 1.

The line intersects the x-axis at the point (1, 0).

Here,

To find the x-intercept of a line, we need to identify the point at which the line intersects the x-axis.

At the x-intercept, the y-coordinate is always 0.

Let's use the given data to find the equation of the line first using two points (x, y):

Using (22, 36) and (27, 54):

Calculate the slope (m) of the line:

m = (change in y) / (change in x) = (54 - 36) / (27 - 22) = 18 / 5

Use the slope and one of the points to find the equation of the line

(y = mx + b).

Let's use (22, 36):

36 = (18/5) * 22 + b

36 = 39.6 + b

b = 36 - 39.6

b = -3.6

So, the equation of the line is y = (18/5)x - 3.6.

Now, to find the x-intercept (where y = 0), we can set y = 0 in the equation and solve for x:

0 = (18/5)x - 3.6

(18/5)x = 3.6

x = 3.6 * 5 / 18

x = 1

Therefore, the x-intercept of the line is 1.

The line intersects the x-axis at the point (1, 0).

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Answer:

games=$483

system=$161

Step-by-step explanation:

Answer: the cost of the system is $166 and the cost of the games is $498.

Step-by-step explanation:

Step-by-step explanation:

Free point yes idufjeiduejsjdidjd

Answer:

by my calculations the answer is 250 weeks.

Please mark me brainliest

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm means 0 mm of precipitation was recorded when the tracking started at 0 minutes. The y-intercept is 0 mm.

✅Thursday's Storm has the same y-intercept as the graph of Monday's Storm, which is also 0 mm precipitation at the beginning of the tracking. It has the same meaning as that of the y-intercept of the graph of Monday's Storm.

Answer:

0.603

Step-by-step explanation:

Given that mean = 3.2

Probability that special order sent out will be no more than 3

Using poisson :

P(x) = (e^λ * λ^x) / x!

λ= 3.2

P(x≤3) : = p(x = 0) + p(x = 1) + p(x= 2) + p(x =3)

P(x = 0) = (e^-3.2 * 3.2^0) / 0! = 0.0407622

P(x = 1) = (e^-3.2 * 3.2^1) / 1! = 0.1304390

P(x = 2) = (e^-3.2 * 3.2^2) / 2 = 0.2087024

P(x = 3) = (e^-3.2 * 3.2^3) / 3! = 0.2226159

Hence ;

0.0407622 +0.1304390 + 0.2087024 + 0.2226159 = 0.6025195

= 0.603

Answer:

a = 68deg b = 112deg c = 68deg

Step-by-step explanation:

angle opposite 112deg is 112deg (vertically opp angels)

since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)

b = 112 deg (vertically opp angles)

c = a (vertically opp angles)

Answer:

wouldnt it be (6,-1)...

Step-by-step explanation:

because those are the cords your said c was at

Answer:

Kyle invested 5,800 at 10% and 5,400 at 7%.

Step-by-step explanation:

Let x be the amount Kyle invests in the 10% account.

0.1x + 0.07(11200 - x) = 958

0.1x + 784 - 0.07x = 958

0.03x = 174

x = 5800

Kyle invests $5,800 at 10% and $5,400 at 7%.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Kyle invests $11200 in two different accounts.

The first account paid 10 %.

The second account paid 7 % in interest.

At the end of the first year,

he had earned $958 in interest.

Let n be the amount Kyle invests in the 10% account.

0.1n + 0.07(11200 - n) = 958

0.1n + 784 - 0.07n = 958

0.03n = 174

n = 5800

Therefore, $5,800 at 10% and $5,400 at 7%.

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Answer:

8<x<12

Step-by-step explanation:

this is an equilateral triangle, which means 2 sides have the same length. seeing that there is a 12mm on the bottom and a 8mm on the side, that would make x be 8mm as well. so that would make this statement -

8<x<12

hope this helps :)

Step-by-step explanation:

The equation of the given line is 3x - 4y = 1

A line parallel to the given line will have slope that is the same as this one.

The equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

   m is the slope

    c is the y-intercept

  Now, we write the given line in the slope - intercept form;

       3x - 4y  = 1

            -4y  = -3x + 1

  Divide through by -4

       [tex]\frac{-4y}{-4}[/tex]   = [tex]\frac{-3x}{-4}[/tex]  + [tex]\frac{1}{-4}[/tex]  

          y  = [tex]\frac{3}{4} x[/tex] - [tex]\frac{1}{4}[/tex]  

The slope of this line is [tex]\frac{3}{4}[/tex]  

Any line with the slope  [tex]\frac{3}{4}[/tex]  will be parallel to the given line.

Answer:

2

Step-by-step explanation:

g (x) = -x + 3

g(1) = -(1) + 3

= 2

Hope this helped! If so, plz mark brainliest.

Answer:

Alex can drive for 100 miles.

Step-by-step explanation:

First, you do 30 - 18, which is 12. Divide 12 by 0.12 to get your answer, which is 100 miles.  

Hope this answer helped!

Answer:

Alex can drive for 100 miles

Step-by-step explanation:

Answer: the first statement is a ratio or fractions that are equale

Answer:

x equal 20  Step-by-step explanation:

H equal 58          I equal 71          J equal 51                                                                                     we will just simply the equation you wrote

Answer:

b. To provide an idea of what the population standard deviation might be

Step-by-step explanation:

Pilot sample can be regarded as the

small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.

The population standard mean is a parameter and it's been calculated from every entity of the population and

can be calculated using below formula

σ =√Σ (xi -μ)^2 /N

Where N= size of the population

σ= population standard mean

μ= population mean

Xi=each sample from the population

Answer:

0.851

Step-by-step explanation:

Answer:

3 weeks and 4 days.

Step-by-step explanation:

If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6

3 3/6 + (1/6 x 4) = 4 1/6

3 weeks and 4 days

Answer:

about 5.22hrs

Step-by-step explanation:

cross multiply

120.45          ?

15.67         40.15

120.45*40.15

=629.1505

629.1505/15.67

=5.2233333...