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ollegr [7]
3 years ago
9

A) Car A travels x km for every litre of petrol while car B travels

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:   16 litres

Step-by-step explanation:

A:   1l          x  km

B:   1l         x+5   km

Running 400 km   A used   400/x  litres

Running  400 km  B used  400/(x+5)  litres

400/x- 400/(x+5)= 4

400*(x+5)- x*400-4*x*(x+5)=0

400*x+2000-400*x-4*x²-20*x=0

2000-4*x²-20*x=0     difide by 4 both sides of equation

500-x²-5*x=0

Lets solve the equation using discriminant:

D=5²-(-1)*4*500=2025

sqrt(D)=45

x1= (5+45)/(-2)= -25          x2=(5-45)/(-2)=20

x1=-25     x2=20

x1<0 so is not the solution of the problem ( number of litres can't  be negative)

So A uses  litr per x=20 km     and B uses 1 litr per 20+5=25 km

Running 400 km B uses 400/25=16 litres

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21 lbs of potatoes cost $231. How much would 28 lbs cost?
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Answer:

$308

Step-by-step explanation:

First, you have to find out how much it costs per pound, so you would divide 231 by 21. each pound of potatoes costs $11. so 11 x 28 would make it $308.

5 0
3 years ago
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A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm.If the distance of the journey was 1276.5, wha
attashe74 [19]

Answer:

74 mph

Step-by-step explanation:

step 1

Find the total time

A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm

so

from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours

from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours

The total time is

5.5+11.75=17.25 hours

step 2

Find the average speed

we know that

The average speed is equal to divide the total distance by the total time

speed=\frac{1,276.5}{17.25}= 74\ mph

4 0
3 years ago
Translate the expression into a word phrase. k + 12 A. a number less than 12 B. 12 more than a number C. the product of a number
Burka [1]
The answer is b) 12 more than a number

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hope that helps, God bless! <span />
8 0
3 years ago
The population of rabbits on an island is growing exponentially. In the year 2008, the population of rabbits was 7100, and by 20
olganol [36]

Answer:

Unknown answer so ye that mean I'm not sure about it

Step-by-step explanation:

Unknown answer so ye that mean I'm not sure about it

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Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels. How many cups of
cupoosta [38]

Answer:

Ted will need 3\frac{3}{4} cups of pretzels to make 15 cups of trail mix.

Step-by-step explanation:

Ted is making trail mix for a party. He mixes 1 1/2 cups of nuts, 1/4 cup of raisins, and 1/4 cup of pretzels.

So, 1/4 cup of pretzels to make 1 trail mix

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Using the ratio and proportional

∴ x = (1/4) * 15 = 3.75 = 3\frac{3}{4} cups.

<u>Ted will need </u>3\frac{3}{4}<u> cups of pretzels to make 15 cups of trail mix.</u>

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