If a car travels 400m in 20 seconds how fast is it going

Answers

Answer 1
Answer:

Answer:

20 m/s

Step-by-step explanation:

Distance = rate * time

400 m = rate * 20 seconds

Divide each side by 20 seconds

400m/ 20 seconds = rate

20 m/second = rate


Related Questions

Select the x-coordinate of the vertex of the parabola defined by the function f(x)=-9x^2+7x+8
Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?c(p) + p(g) = 1.92g c[p(g)] = 0.896g g[c(p)] = 1.92p c(p) ⋅ p(g) = 0.896pg
George rides his bike 9km south and then 12 km east. How far is he from his staring point?
|2n+5|>/9 solve for n?
The end zone of a football field is 10 yards deep and 53 yards across. Between the two end zones is the playing field, which is 100 yards long and 53 yards wide. What is the length of the diagonal from the back of one end zone to the back of the other?

Dan runs 8 miles in 84 minutes. At the same rate how many minutes would be take to run 6 miles

Answers

Answer:

63 minutes

Step-by-step explanation:

Set up a ratio equation.

(8 miles/84 minutes should be equal to 6 miles/x amount of minutes). Set the two fractions equal to each other and solve for x by cross multiplying.

Answer: It will take Dan 63 minutes to run 6 miles.

Step-by-step explanation:

(8)/(6)  = (84)/(x)  do  cross product.

8x = 504

x= 63  

A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?

Answers

Given that the range of the signal is a quadratic function: (x-h)^2 = 4a (y - k) (5-4)^2 = 4a (4 - 2) 4a =1/2 therefore, (x -4)^2 = (1/2)(y – 2) The road is a line. Slope of the road is (7 -2)/(-3 -8) =-5/11 Therefore the equation of the line: 5x + 11y = 5(8) + 11(2) 5x + 11y = 62

The system of equations can be used to determine whether the road intersects the boundary of the tower’s signal; y = 2( x - 4 )² + 2 and 5 x + 11 y = 62.

What is the vertex form of a quadratic equation?

If a quadratic equation is written in the form

y = a(x-h)^2 + k

then it is called to be in vertex form.

It is called so because when you plot this equation's graph, you will see the vertex point is on (h,k).

To determine a quadratic function in vertex form:

y = a ( x - 4 )² + 2

4 = a ( 5 - 4 )² + 2

4 = a + 2

a = 2

y = 2 ( x - 4 )² + 2

Then we will determine a linear function in standard form, that passes through the points ( -3, 7 ) and ( 8, 2 ).

7 = -3 m + b

2 = 8 m + b   / ·(-1)

7 = - 3 m + b

- 2 = - 8 m - b

5 = - 11 m

m = -5/11,              

2 = -5/11 · 8 + b,        

b= 2 + 40/11,    

b = 62/11

Substitue,

y = - 5/11 x + 62/11  /  ·11

11 y = - 5 x + 62

5 x + 11 y = 62

Finally the system of equations is:

y = 2( x - 4 )² + 2

5 x + 11 y = 62

Learn more about vertex form of a quadratic equation here:

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Which shows the factored form of x2 – 12x – 45?(x + 3)(x – 15)
(x – 3)(x – 15)
(x + 3)(x + 15)
(x – 3)(x + 15)

Answers

Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 



The dashed figure is a dilation of the solid figure. Which of the following statements is true?a.The dilation is an enlargement.
b.The dilation is a reduction.
c.The dilation has a scale factor of 1/3.
d.The dilation has a scale factor of 3.
e.The dilation has a scale factor of 9.

Answers

The dilation is an enlargement and the dilation has a scale factor of 3. Therefore, options A and D are the correct answer.

From figure given below, square C has side of length 3 units.

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From given figure we can see the dashed figure, square has side of length 9 units.

Here we understood that the image has enlargement.

Now, scale factor = Dimensions of new image ÷ Dimensions of original image

= 9/3

= 3 units

Therefore, options A and D are the correct answer.

To learn more about the dilation visit:

brainly.com/question/13176891.

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Answer:

The dilation is also an enlargement.

Step-by-step explanation:

All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?

Answers

To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)

rich wrote this expression to describe the total distance he was going to bike in two days. Which situation could be described by this expression? A. Rich wasn't sure how far he would bike on the first day. He would bike 7 fewer miles on the second day. B. Rich wasn't sure how far he would bike on the first day. He would bike 7 miles the second day. C. Rich wasn't sure how far he would bike on the first day. He would bike 7 times farther the second day. D. Rich wasn't sure how far he would bike on the first day. He would bike the same distance for 7 days.plz hurry thx

Answers

B.  Rich wasn't sure how far he would bike on the first day. He would bike 7 miles the second day.
The first day is b and the second day is 7 miles.