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2 years ago

Andy drove 840 miles in 12 hours. How much miles can he drive per hour?

Mathematics

2 answers:

Sergio039 [100]2 years ago

7 0

Answer:

Step-by-step explanation:

840 / 12 = 70

S_A_V [24]2 years ago

4 0

Just divided the miles with the hours

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8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by

disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100) (1)

Where:

C - Initial value
C' - Final value
r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0

2 years ago

What is the distance between (4,8), 6=y+ 2x

docker41 [41]

Answer:

2√5

Step-by-step explanation:

The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

$\text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}$

The general form of your equation for the line is ...

2x +y -6 = 0

so the distance to point (x, y) = (4, 8) is ...

$\text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}$

The distance between the point and line is 2√5.

5 0

3 years ago

Carson needs 3 quarts of water to make fruit punch, but has only a 1-cup measuring cup. She knows there are 2 cups in 1 pint, an

USPshnik [31]

Answer:

Step-by-step explanation:

3 quarts is 6 pints

6 pints is 12 cups

if there is 4 cups in a quart then 4x3=12

4 0

2 years ago

What is the surface area of the right prism given below?

posledela

Answer: Option D.

Step-by-step explanation:

You can calculate the surface area of this right prism by adding the area of its faces.

You can observe that the faces of the right prism are: Three different rectangles and two equal triangles.

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

The formula for calculate the area of a triangle is:

$A=\frac{bh}{2}$

Where "b" is the base and "h" is the height.

You can observe that the hypotenuse of the each triangle is the width of one of the larger rectangle, then , you can find its value with the Pythagorean Theorem:

$a=\sqrt{b^2+c^2}$

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

Then, this is:

$a=\sqrt{(8units)^2+(15units)^2}=17units$

Therefore, you can add the areas of the faces to find the surface area of the right prism (Since the triangles are equal, you can multiply the area of one of them by 2). This is:

$SA=(10units)(8units)+(15units)(10units)+(17units)(10units)+2(\frac{(15units)(8units)}{2})\\\\SA=520units^2$

5 0

3 years ago

Read 2 more answers

State the positive values of X for which the production costs at the two sites are equal. Explain how you determined your answer

Shkiper50 [21]

Answer:

Step-by-step explanation:

A(x)=3x^2

B(x)=8x+3

A(x)=B(x)

3x^2=8x+3

3x^2-8x-3=0

factor

(3x+1)(x-3)=0

x-3=0

x=3

3(3^2)=8(3)+3

3(9)=24+3

27=27

8 0

2 years ago