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2 years ago

I WILL UPVOTE!!!!! IF U HELP

2 answers:

7 0

ow far does the first car go in the 2 hours head start it gets? Now, at t = 2 hours, both cars are moving. How much faster is the second car than the first car? How long will it take to recover the head start? You can determine this by dividing the head start by the difference in the two speeds. If car 1 has a 20 mile head start, and car 2 is 5 mph faster, then it will take 20/5 = 4 hours to catch up.

You could also write two equations, one for each car, showing how far they have gone in a variable amount of time. Set the two equations equal to each other and solve for the value of the time. Note that the second car's equation will use (t-2) for the time, because it doesn't start driving until t = 2.

natima [27]2 years ago

3 0

Keefe was mad at Fitz so he decided to plan revenge. He had 5.3 liters of feces but he wanted to us only 1/4 of it. In that 1/4 of the amount, 0.4 of the feces was alicorn ones and 0.6 of it was gulon feces. How many Liters did Keefe use? How many liters of alicorn feces were there and how many liters of gulon feces were there in the amount that he used?

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What type of proportion is shown in 12 : 4 = 24 : 8?

Dmitry [639]

Answer:

3:1

Step-by-step explanation:

7 0

2 years ago

What is the slope of the line passing through the points ( −3 , 4 ) and ( 4, −1 )?

ziro4ka [17]

Slope = (y2 - y1)/(x2 - x1) = (-1 - 4)/(4 - (-3)) = -5/(4 + 3) = -5/7

4 0

2 years ago

Assume you have collected data pairs (x, y) on a certain variety of tree. x is the number of weeks since the tree was planted an

skelet666 [1.2K]

50 weeks is the age predicted by the best-fit line

8 0

3 years ago

The pep club and honor society are joining forces to raise money for school improvements.

Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

$x+y\geq 500$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=500$

$x\geq 100$ ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line $x=100$

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100

The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=300, y=100

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200

The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=500, y=200

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

3 0

2 years ago

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

polet [3.4K]

Answer: each boy had $2.5 left after buying his ticket.

Step-by-step explanation:

Miguel and three of his friends went to the movies. They originally had a total of $40. If each boy had the same amount of money, it means that the amount that each boy( 4 boys in total) has is 40/4 = $10

Let x represent the amount of money that each boy had left after buying his ticket. If each boy spent $7.50 on a ticket, then the equation becomes

x + 7.5 = 10

Subtracting 7.5 from the left hand side and the right hand side of the equation, it becomes

x = 10 - 7.5 = 2.5

4 0

2 years ago