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4 years ago

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]4 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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Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 m

Wewaii [24]

Answer:

$265

Step-by-step explanation:

We can use the simple interest formula for this:

$A = P (1 + rt)$

P = initial balance

r = annual interest rate

t = time

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:

$A=250(1+(0.04)(1.5))$

$A=265$

Eugene owes $265 of interest.

8 0

3 years ago

An aquarium can hold 3744 cubic inches of water. Ben fills the aquarium 9/10 full of water. Water weighs about 0.036 pound per c

miss Akunina [59]

Answer:

i think its b, i just did this assignment and i got a 100% so this is correct

have a nice day :)

Step-by-step explanation:

4 0

3 years ago

Write the equation of the line that passes through the points (1,6) and (3, -4)

gavmur [86]

Answer:

A. y = -5x + 11

Step-by-step explanation:

The general form of the equation of a line is given as

y - y1 = m (x - x1)

where m is the slope and x1, y1 are the coordinates of a point on the line.

m = (y2 - y1)/(x2 - x1)

Given the points (1,6) and (3, -4)

m = (-4-6)/(3-1)

=-10/2

= -5

The equation of the line will be

y - 6 = -5(x -1)

y - 6 = -5x + 5

Add 6 to both side

y = -5x + 5 + 6

y = -5x + 11

Option A

6 0

3 years ago

Tell whether the triangle with the given side lengths is a right triangle. 36, 77, 85, true or false

torisob [31]

Answer:

True the triangle is a right triangle.

Step-by-step explanation:

the Pythagorean Theorem states that $a^{2} +b^{2} =c^{2}$

so,

$85^{2} =7225\\77^{2} =5929\\36^{2} =1296\\5929+1296=7225$

3 0

3 years ago

Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m

zlopas [31]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

$f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2$

Hence, Option 'd' is correct.

3 0

3 years ago