A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.​

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...

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:

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:

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

Step-by-step explanation:

because those are the cords your said c was at

Answer:

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

=39/4 almost 10 gal

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:

A

Step-by-step explanation:

We are given the equation:  

[tex]x^2+xy-3y=3[/tex]

And we want to find dy/dx at the point (2, 1).

Find dy/dx. We can take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3][/tex]

Implicitly differentiate:

[tex]\displaystyle 2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0[/tex]

Solve for dy/dx:

[tex]\displaystyle \begin{aligned} x \frac{dy}{dx} - 3\frac{dy}{dx} & = -2x - y \\ \\ \frac{dy}{dx}(x - 3) & = -2x - y \\ \\ \frac{dy}{dx} & = \frac{-2x-y}{x-3} \\ \\ & = \frac{2x+y}{3-x} \end{aligned}[/tex]

To find dy/dx at (2, 1), evaluate dy/dx for x = 2 and y = 1. Hence:

[tex]\displaystyle \frac{dy}{dx}\Big|_{(2, 1)}=\frac{2(2)+1}{3 - (2)}=\frac{5}{1}=5[/tex]

Hence, our answer is A.

We want to find the differential dy/dx for the given expression at the given point. We will see that the correct option is A.

We have:

x^2 + xy - 3y = 3

First, we need to isolate the variable y in one side of the equation, so we get:

xy - 3y = 3 - x^2

y*(x - 3) = 3 - x^2

y = (x - x^2)/(x - 3)

Now we can differentiate this, remember that if:

f(x) = g(x)*h(x)

then:

f'(x) = g(x)*h'(x) + g'(x)*h'(x)

Using that rule.

dy/dx = (1 - 2x)/(x - 3) - (x - x^2)/(x - 3)^2

Now we need to evaluate this in x = 2 (the x-value of the point) so we get:

(1 - 2*2)/(2 - 3) - (2 - 2^2)/(2 - 3)^2

= (-3)/(-1) - (-2)/(1) = 5

So the correct option is A.

If you want to learn more about differentiation, you can read:

https://brainly.com/question/24898810

Answer:

0.851

Step-by-step explanation:

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:

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/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:

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:

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).

learn more on x-intercept :

https://brainly.com/question/1698680

#SPJ4

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:

13>5 is correct but 13 < 10 is not correct

so 13 is not a solution

Answer:

49722

Step-by-step expla Reste los número 49722 solucion  

Alterna entre 4,9722 x 10 a la 4

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%.

To learn more about the simple interest; https://brainly.com/question/25845758

#SPJ2

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:

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 :)

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

Answer:13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

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)

Learn more :https://brainly.com/question/18153040

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:

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:

2

Step-by-step explanation:

g (x) = -x + 3

g(1) = -(1) + 3

= 2

Hope this helped! If so, plz mark brainliest.