a car travelled 300km and used 24 litres of petrol.


1) ) how many litres of petrol is needed by the car to travel 400km?

2) how far can the car travel if it's petrol tank has 36 litres of petrol?​

Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

21 ÷ 7 = 63 ÷ 21 = 3

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ration

here a₁ = 7 and r = 3 , then

[tex]a_{n}[/tex] = 7 . [tex]3^{n-1}[/tex] ← explicit formula

the recursive formula allows a term to be found by multiplying the previous term by r , then

[tex]a_{n}[/tex] = 7 . [tex]a_{n-1}[/tex] ← recursive formula

Answer:

76

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

Given

3x² - 10x = - 2 ( add 2 to both sides )

3x² - 10x + 2 = 0 ← in standard form

with a = 3, b = - 10, c = 2 , then

b² - 4ac = (- 10)² - (4 × 3 × 2 ) = 100 - 24 = 76

Answer:

1 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{47}{8} - (\frac{7}{2} + \frac{5}{4} )[/tex]

[tex]\frac{47}{8} -\frac{19}{4}[/tex]

= [tex]\frac{9}{8}[/tex]

= [tex]1\frac{1}{8}[/tex]

Answer provided by Education Point

Answer:

x=-4

Step-by-step explanation:

6x+2x-6=5x-18

8x-6=5x-18

8x+12=5x

0= 3x+12

3x=-12

Divide 3 by both sides

x= -4

Answer:

option c

Step-by-step explanation:

Answer:

A. She set up the proportion incorrectly, the second ratio should be 2.2.

Step-by-step explanation:

Answer:

Your answer would be A

Step-by-step explanation:

Good Luck

Answer:

17

Step-by-step explanation:

Answer:

Each friend will get $1.25

Step-by-step explanation:

45/36 = 1.25

Answer: 1.25

Step-by-step explanation:

Just divide $45.00 and 36

Answer:

1073741824 is your answer.....

Answer:

Step-by-step explanation:

[tex]( {4}^{3}) ^{5} \\ = {64}^{5} \\ = 1073741824[/tex]

Answer:

B

C

Step-by-step explanation:

[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]

Answer: y=-0.5x-2

Step-by-step explanation:

Answer: I think it would be Decrease but I may not be correct

Answer:

Box b is 10 inches

Step-by-step explanation:

I did the work I am sorry I know you are probably in a rush but if you want me to write that out I can

2/3 + (-1/3) = 2/3 - 1/3 = 1/3

Answer:

1.00

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Median: 18

Minimum: 16

Maximum: 23

First quartile: 16

Third quartile: 19.5

Interquartile Range: 3.5

Answer:

2x - 3y

Step-by-step explanation:

Given :-

(3x + 2y) - (x + 5y)

Simplifying :-

3x + 2y - x - 5y

2x - 3y

Solution :-

2x - 3y

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

Answer:

0.7333

Step-by-step explanation:

2021 Math

Proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

It's a way to measure how far each data point is spread from the average value.

let x represents the diameters of cherry tomatoes produced by large farm which is formally distributed with mean = 22m

and, standard deviation= 2.5 mm

Now, proportion of tomatoes have diameter between 20 and 26 mm

=P (20 < x< 26)

=P(20-22 / 2.5 < [tex]x- \mu/ \sigma[/tex] < 26- 22/2.5)

=P(-0.8 < z < 1.6)

=P(z = 1.6) - P(z=-0.8)

=0.9452 - 0.2119

==0.7333

Hence, proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

Learn more about standard deviation here:

https://brainly.com/question/13905583

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Answer:

-2

Step-by-step explanation:

-2 because that is where the line intersects on the x-axis

please mark me as brainlest

[tex]200 \div 8 = 25 \\ 875 \div 25 = 35[/tex]

Answer:

4(7 + 6)

Step-by-step explanation:

The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.

28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

A number system is defined as a system of writing to express numbers.

We need to write  28 + 24 as a product of 2 factors using the GCF and the distributive property.

A factor is a number that divides another number, leaving no remainder

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We need to find factors 28 and 24

28=1,2,4,7,14,28

24=1,2,3,4,6,8,12,24

4 is the greatest common factor.

28 + 24

Take 4 as common

4(7+6)

Hence, 28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

1. 7.6

2. 8

Step-by-step explanation:

for number one, add all the hours and then divide it by how many hours individually

for number two, the mode is the member which occurs the most

I hope this helps