MATHEMATICS HIGH SCHOOL

You have 1/4 of a tank of gas and 10 dollars in your wallet. Gas is $2.50/gallon and your car holds 13 gallons. Explain how you would find out how many total gallons you will have in your car after you put in $10 worth of gas

Answers

Answer 1
Answer:

1/4*13=3.25 gallons

2.50*4=10

3.25+4=7.25

The answer is 7.25 gallons

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A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t2 + 48t + 100 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.
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Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.sin(θ) =

cos(θ) =

tan(θ) =

csc(θ) =

sec(θ) =

cot(θ) =

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The point (8, -15) shows it is in 4th quadrant.

side X is 8 and side Y is -15.

We can find side R with help of Pythagorean theorem.

R^2=8^2+(-15)^(2)=289

Taking square root,

R = 17

sinΘ=(Y)/(R)=(-15)/(17)

cosΘ=(X)/(R)=(8)/(17)

tanΘ=(X)/(Y)=(-15)/(8)

cscΘ=(R)/(X)=(17)/(-15)=-(17)/(15)

secΘ=(R)/(X)=(17)/(8)

cotΘ=(X)/(Y)=(8)/(-15)=-(8)/(15)

Answer

Hope it will help :)

Five added to twice Erik's age is the same as 3 times his age minus 2. How old is Erik?

Answers

The answer to that is 7 because 7*3-2 is 19 and 7*2+5 is 19

Russian ice breaker yamal can move forward 2.3 meters thick ice at a speed of 5.5 kilometers per hour how long will it take to travel 82.5 kiolometers

Answers

The train travel at 5.5 km per hour .We know that in X hours it will advance by X*5.5 = 82.5 , hence X = 82.5/5= 15It will take 5 hours .I hope I really help !

Four fifths of the members of a club are female. Three-quarters of these females are over 20 years old. What fraction of the members of the club are females over 20 years old? Show your working please! Thanks so much!

Answers

no. of FEMALES =4/5(no. of members in club)
in that 
no. of females over 20 years old=1/3(no. of FEMALES)=1/3(4/5(no. of members in club))
=4/15(no. of members in club)
no. of females over 20 years old/no. of members in club=4/15

7 1/5 minus 6 2/5 equals

Answers

-1 and 1/5 use online calculators for problems like this if youre having trouble
7 1/5-6 2/5= 
exact form is 4/5
decimal form is 0.8
hope this helped

Use the information to find the percent change.Original Amount = 1,250
Amount of Change = 618
Percent Increase =
Amount of Change
Original Amount
The percent change is about???

Answers

Answer:

49.44%

Step-by-step explanation:

1250+618=1868

percentage increase=increase×100%/original amount

p.p=618×100/1250

p.p=49.44%

Answer:

49.4%

Step-by-step explanation:

i got it right on edge:)
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