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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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17.

x = -2 is not a solution of -1 < x < 5 because -2 < -1 (-1 < -2 < 5 FALSE).

18.

m = 5 is a solution of 5 ≤ m because 5 ≤ 5 ( 5 ≤ m → m ≥ 5 greater than 5 or equal 5, 5 is equal 5)

19.

k = 10 is not solution of 2k - 3 < 1 because:

put the value of k to the inequality:

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20 - 3 < 1

17 < 1 FALSE

5 0
2 years ago
Find the product.
IrinaK [193]
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4 0
2 years ago
A number x divided by -1 is at least -4
Vinil7 [7]
A number x divided by -1 is at least -4.

x / -1 ≥ -4

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x ≤ 4

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~Hope I helped!~
7 0
2 years ago
Twenty people each had 36 carrots. How many carrots are there altogether?
elena-s [515]

You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.

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There are 900 carrots altogether.

7 0
2 years ago
A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?
soldi70 [24.7K]

Answer:

Option B. 6.75\ cm^{2}

Step-by-step explanation:

we know that

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A=\pi r^{2}

we have

r=3\ cm

substitute

A=\pi (3^{2})=9 \pi\ cm^{2}

Remember that

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so

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7 0
3 years ago
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