Using a system of linear equations, the distance between points A and B is 6000 cm
Time taken = Distance / speed
Let ; distance = d
<u>To</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
- <u>t</u> = d / 4
- <em>4t = d ______(1)</em>
<u>Fro</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
<em>2.5t + </em><em>2250</em><em> = d ______(2)</em>
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : brainly.com/question/14000187
Percentage by which the gas tank of the car is full = 40%
Amount of gas in the gas tank = 8 gallons
Let us assume the capacity of the gas tank = x gallons
Then
40% * x = 8
(40/100) * x = 8
4x/10 = 8
4x = 8 * 10
4x = 80
x = 80/4
= 20 gallons
So the total capacity of the gas tank of the car is 20 gallons. I hope the procedure is clear to you.
Answer: 14
Square both sides, getting you
2x-3=25
Add 3 to both sides
2x=28
Divide both sides by 2
x=14
<span>Part
1: Jasmine
practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this
pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
T7 = 60 minutes
Part 2: Anthony
goes to the gym for 10 minutes on Monday. Every day he multiplies his
gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.
</span>
Answer:
8
Step-by-step explanation:
26 - 10 = 16
2n greater than 16
16 / 2 = 8 jumps or more.
