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Citrus2011 [14]
2 years ago
5

The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation rep

resent the number of times feliz can drive to or from work with the gas in his tank
Mathematics
1 answer:
Illusion [34]2 years ago
3 0

Answer:

\frac{1}{12}x = \frac{5}{6}\\  \\

Step-by-step explanation:

<u>Given:</u>

  • Volume of fuel = 5/6
  • Volume of fuel used each time = 1/12
  • Number of travels to or from work = x

<u>Since each time 1/12 of the tank is used, and initial volume is 5/6 of the tank, the equation will be:</u>

  • \frac{1}{12}x = \frac{5}{6}\\  \\

<u>Solving the equation we get:</u>

  • x = \frac{5}{6}÷\frac{1}{12}
  • x = \frac{5}{6} × 12
  • x = 10

So Felitz can travel 10 times to/from work with 5/6 full tank

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Alborosie

Let us solve the Part A first. 

In order to find the time we use the formula for the range of a projectile:

R = v^2 multiply by sin(2θ) divided by g

220 = v^2 multiply by sin(2 multiply by 45) divided by 9.8

220 = v^2 divided by 9.8

V^2 = 2,156

v = 46.43 m/s

Now we will find the x component of the velocity:

vx = sin(θ) multiply by v

vx = cos(45) multiply by 46.43

vx = 32.83 m/s

So the time it takes for the arrow to travel 220 m is the same as the time it is in the air:

time = d divided by  v

time = 220 divided by 32.83

time = 6.70 seconds

6.70 s.

Now we will solve the part B.

We will start by finding the time it takes for the apple to fall 6.0 m

d = v0 multiply by t + 1 divided by 2 at 2 square

6 = 0 multiply by t + 1 <span>divided by </span>2 multiply by 9.8 multiply by t^2

6 = 4.9 multiply by t^2

<span>t^2 = 1.2245</span>

t = 1.1066 s

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Hence the apple should be dropped 5.59 s after the arrow is shot.

I hope it helped

5 0
2 years ago
Read 2 more answers
Imran deposited 3000 per month (at the start of month) into a saving account for 10 months. If the bank offer 6% interest compou
AnnZ [28]

Answer:

3.590.04

Step-by-step explanation:

The formula given for total amount saved when compounding interest =

A = P(1 + r/n)^nt

Where

A = Total amount saved after t years

P = Principal or initial amount saved

r = Interest rate

n = compounding frequency

t = time in years

From the above question

P = 3000

r =6% = 0.06

n =compounded monthly = 12

t = 3 years

Hence,

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A = 3000(1 + 0.06/12)^36

A = 3,590.04

Therefore, the total amount Imran will have in his account after 3 years = 3,590.04

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2 years ago
(b) 3m - 2n=19<br> 5m + 7n=11​
Korvikt [17]

3m-2n=19

5m+7n=11

21m-14n=133

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Now add equations

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3×5-2n=19

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Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $10 plus a constant fee for each h
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riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

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