A bus and a car leave from the same city traveling in opposite directions. The bus leaves 2 hours before the car does. The bus travels at a steady speed of 50 mph while the car travels at 70 mph. After how many hours will the bus and car be 800 miles apart?If h represents the number of hours the bus travels, then which of the following expressions represents the number of miles the car travels?
70(h + 2)
70(h - 2)
70h

Answers

Answer 1
Answer:

Answer:

After 7.8 hours (7 hours 48 min.) will the bus and car be 800 miles apart

70(h-2) expression represents the number of miles the car travels.

Step-by-step explanation:

If h represents the number of hours the bus travels.

In the question it is said that the bus leaves 2 hours before the car does

Therefore car travels (Time) = ( h-2 )

car's speed = 70 mph,

Distance = speed × time = 70(h-2)

70(h - 2) expression represents the number of miles the car travels.

If we want to find the number of hours will the bus and car be 800 miles apart we can solve it as :

50h + 70(h-2) = 800

50h + 70h - 140 = 800

120h = 800 + 140

120h = 940

h = 940 ÷ 120 = 7.833... = 7.8 hours (7 hours and 48 min.)

Ans. After the bus left the city, after 7.8 hours the car and the bus will be 800 miles apart.

Answer 2
Answer: the answer is b 70(h-2)

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7. What is the length of the altitude CD in the figure?O A. 2.7B. 2.2C. 3.9O D. 3.3BackNext

Answers

Answer:

The length of the altitude CD is 3.3 units .

Option (D) is correct .

Step-by-step explanation:

By using the pythagorean theorem

Hypotenuse² = Perpendicular² + Base²

Now in ΔCDA

Hypotenuse = CA =  6 unit

Base = AD = 5 units

Perpendicular = CD

Put all the values in the above

6² = CD² + 5²

As

6² = 36

5² = 25

CD² = 6² - 5²

       = 36 - 25

CD² = 11

CD = √(11)

CD = 3.3 unit (Approx)

Therefore the length of the altitude CD is 3.3 units .

Option (D) is correct .

We have a right triangle:
hypotenuse=6
leg₁=5
leg₂=CD

Pythagoras theorem:
hypotenuse²=leg₁²+leg₂²

6²=5²+CD²

CD=√(6²-5²)
CD=√(36-25)
CD=√11≈3.3166....≈3.3

Answer: D. 3.3

What is the solution to the equation? 3/8=m/32?

Answers

Answer:

m=12

Step-by-step explanation:

Answer:

m=12

explanation:

A biologist wants to determine the effect of a new fertilizer on tomato plants. What could be a response variable?

Answers

Answer:

Step-by-step explanation:

The response variable is also called as the outcome variable or dependent variable. The changes occurring in the response variable is due to changes in the independent variable.

In the given situation, the response of new fertilizer on the tomato plants is to be checked. Hence, the growth of tomato plants is the response variable. The new fertilizer is the independent variable.

Plant growth could be a response variable! :)

Premonition : predestination ::a. forecast : weather
b. expectation : fulfillment
c. fear : accident
d. warning : fate

Answers

premonition is a strong feeling that something is about to happen, especially something unpleasant. and predestination is if you think everything happens for a reason and we have no control over our own futures.

final answer is I would say B

YOU WENT TO THE GYM LAST WEEK AND SPENT THE FOLLOWING AMOUNT OF YOUR TIME ON THE RUNNING MACHINE. Day | Time Spent

Mon | 0.3
Tues | 15%
Wed | 1/6
Thurs | 0.2
Fri | 1/8

ON WHICH DAY DID YOU SPEND THE LEAST AMOUNT OF TIME ON THE RUNNING MACHINE?

Answers

Answer: On Friday, he spend the least amount of time on the running machine.

Step-by-step explanation:

Since we have given that

Monday   0.3 = 0.3* 100\%=30\%

Tuesday = 15%

Wednesday = (1)/(6)* 100\%=16.67\%

Thursday = 0.2* 100\%=20\%

Friday = (1)/(8)* 100\%=12.5\%

Hence, we can compare all the days, and we get that

On Friday, he spend the least amount of time on the running machine.

Thursday sonnnnnnnnnnnnn

a dog weighs 44 pounds the dog needs to lose 7 pounds to reach its ideal weight mikala wrote the equation x + 7 = 44 to represent this situation Kirk wrote the equation 44 - x = 7 what does the variable represent which equation is correct can you write another equation that represents the situation

Answers

x represents the ideal weight of the dog.  The first equation is correct because the ideal weight increased by seven pounds equals 44, since he currently weighs 44 pounds and must decrease that by 7 to get the ideal weight.  The second one is also correct because 44 minus the ideal weight is seven, since seven is given as the difference between 44 and the ideal weight.

Another equation would be x=44-7.  This is because the ideal weight is 44 pounds minus the seven pounds the dog loses.