MATHEMATICS HIGH SCHOOL

You run 9.1 miles in 1.3 hours at a steady rate. What equation represents the proportional relationship between the x hours you run and the distance y in miles that you travel?

Answers

Answer 1

Answer:

y = 7x

Step-by-step explanation:

Given that;

You run 9.1 miles in 1.3 hours at a steady rate

Distance y = 9.1 miles

Time x = 1.3 hours

The relationship between the distance y and the time x is the speed v;

Distance = speed × time

y = v×x ......1

v = y/x

Substituting the given values;

v = 9.1/1.3

v = 7 miles/hour

To derive the equation that represents the proportional relationship between the x hours you run and the distance y in miles that you travel. We substitute v = 7 into equation 1;

y = 7x

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Answers

Answer:

Step-by-step explanation:

The answer is A.

Help with distance between points in geometry.Two equations given

y=-5/4x+3.5
4y+10.6=-5x

Answers

rearrange equations so they look nicer:
y = -5/4x + 7/2
4y = -4x + 14

make both equations equal 4y:
4y + 10.6 = -5/x
4y = -5/x -10.6

this means that:
-4x + 14 = -5/x - 10.6

rearrange to find x:
[multiply by x]
-4x^2 +14x = -5 - 10.6x
4x^2 - 14x + 10.6x + 5 = 0
4x^2 -3.4x + 5 = 0

use the quadratic equation: x = (-b ± √(b^2 - 4*a*c)) / 2a
for this equation, a = 4, b = -3.4 and c = 5
write the answer in the form (x - answer one) (x - answer two)
this will give either two answers. Input these into the equation 4y = -4x +14 to find the coordinates.

To find the distance between these two points:

distance = √(change in x) + (change in y)

Final answer:

To find the distance between two points using given equations, solve the equations simultaneously to find the coordinates of the points and then use the distance formula.

Explanation:

To find the distance between two points using the given equations, we first need to find the points of intersection. We can do this by solving the given equations simultaneously to find the values of x and y. Once we have the coordinates of the two points, we can use the distance formula to find the distance between them.

First, solve the given equations simultaneously to find the values of x and y.
Substitute the values of x and y into the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).
Calculate the distance using the given formula.

Learn more about Distance between points here:

brainly.com/question/4058851

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Given the following scenario, decide if it is a permutation or combination. Then calculate the number of possibilities. (Please write Permutation/Combination ; answer)A committee must choose 4 finalists from 15 candidates. How many ways can the committee choose the four finalists.

Answers

The right answer for the question that is being asked and shown above is that:

There are...
15 * 14 * 13 * 12 ways in order to know the four finalists.
This is equal to 32,760 ways i n order to know the four finalists.

Divide 6/13 by 6/12 .
A. 1/12
B. 9/16
C. 12/13
D. 13/12

Answers

If you would like to divide 6/13 by 6/12, you can do this using the following steps:

6/13 / 6/12 = 6/13 * 12/6 = 12/13

The correct result would be C. 12/13.

Use the formula:

$(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c) = \boxed{\bf{(ad)/(bc)}}$

Let's solve your question:
$(6)/(13)/ (6)/(12) = (6)/(13) * (12)/(6) =\boxed{\bf(12)/(13)}}$

Your answer is C. 12/13.

Find the distance between -12 and 36 on the number line.
distance

Answers

Answer:

Step-by-step explanation:

Another word for so or therefore? Another word for so or therefore like and so..... or ,so its for an essay. help please!

Answers

'consequently' or 'accordingly'.
(Now you know why we usually use 'so'.)

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