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Arada [10]
3 years ago
12

On the first part of a journey, Alan drove a distance of x km and his car used 6 litres of fuel.

Mathematics
1 answer:
irinina [24]3 years ago
6 0

Answer:

\frac{600}{x+20}\text{ litres per 100 km}

Step-by-step explanation:

Given,

The number of litres consumed by car in (x+20) km = 6,

So, number of litres consumed by car in 1 km = \frac{6}{x+20},

Now, number of litres consumed by car in 100 km = 100 × litres consumed by car in 1 km

=100\times \frac{6}{x+20}

=\frac{600}{x+20}

Hence, the rate of fuel used by his car would be \frac{600}{x+20} litres per 100 km.

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Equation of perpendicular line:<br><br> Equation of parallel line:
tamaranim1 [39]

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

Hope that was helpful. :)

8 0
3 years ago
One cookie and two brownies cost the same as two cookies and one brownie. One cookie and one brownie together cost $1. What is t
adoni [48]

Answer:

50 cents

Step-by-step explanation:

Let's set up a system of equations. Let x be a cookie and y be a brownie then...

x+2y=2x+y

x+y=1

We can solve this using substitution

x=1-y

1-y+2y=2(1-y)+y

1+y=2-2y+y

1+y=2-y

-1=-2y

y=1/2

One brownie costs 50 cents and one cookie costs...

x+1/2=1

x=1/2

One cookie costs 50 cents

6 0
2 years ago
Read 2 more answers
Which of the numbers listed below are solutions to the equation?
Savatey [412]
5, and -5 because a negative times a negative equals a positive
7 0
3 years ago
Read 2 more answers
For the following right triangle, find the side length x. Round your answer to the nearest hundredth
garik1379 [7]

Answer:

7.94

Step-by-step explanation:

a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2}  = 63\\a = \sqrt{63} \\a= 7.93725

3 0
2 years ago
4. Here are the equations that define three functions.
luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

  • The function value that is largest is h(-100)
  • The function value that is largest is h(-100)
  • The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

f(x) = 4x - 5

g(x) = 4(x - 5)

h(x) = x/4 -5

At x = 100, we have:

f(100) = 4 * 100 - 5 = 395

g(100) = 4 * (100 - 5) = 380

h(100) = 100/4 - 5 = 20

Hence, the function value that is largest is f(100)

At x = -100, we have:

f(-100) = -4 * 100 - 5 = -405

g(-100) = 4 * (-100 - 5) = -420

h(-100) = -100/4 - 5 = -30

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

f(1/100) = 4/100 - 5 = -4.96

g(1/100) = 4 * (1/100 - 5) = -19.96

h(1/100) = (1/100)/4 - 5 = -4.9975

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

5 0
2 years ago
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