At Billy's preschool, they have a total of 25 bicycles and tricycles. Among them all, there are 57 wheels. How many of each are there?

Answers

Answer 1

Answer: let x be the number of bicycles and y the number of tricycles. x+y=25 (1) and 2x+3y=57 (2). Multiplying (1) by 2, you have 2x+2y=50. Doing (2)-(1) gives y=7. Therefore, x=25-7=18. There are 18 bicycles and 7 tricycles.

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If someone could do this it’s be greatly appreciated!
A company offered one half of its employees a bonus if the production of cookies increased by 15%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 10. What is the correct order of steps to determine if the results are significant? A. Calculate the probability of a difference of 10. B. Calculate the difference of the means. C. Randomly separate the employees' individual results into two groups. D. Calculate the mean of each group. E. Run the experiment many times.
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Which of the following pairs of fractions are like fractions?a. 1/2 and 4/8
b. 7/9 and 8/9
c. 5/11 and 15/33
d. 4/3 and 3/4

Answers

A 1/2 and 4/8 because to make them both have same denominator you multiply 1/2 by 2 and get 4/8 or you can do it the easy way and simpliphy 4/8 to 1/2. 4 is half of 8 so there for it would be 1/2.

Gabriel is making a mixture of compost and soil to use for a special plant. He wants his final mix to be 2 parts compost and 8 parts soil. He wants to end up with 12 kilograms to mix. How many kilograms of compost should Gabriel use?

Answers

I thought about it this way; the ratio between compost and soil is 2/8. 2/8 is also equal to 1/4, and 1/4 of 12 is 3. So you'd want 3 kilograms of compost a d 9kg of soil. (:

about 0.9 i think. i may be wrong so dont take my word for it

an elevator weighing 6,000 newton move up a distance of 10 meters in 30 seconds.what was the power of the elevators motor in watt and and in horsepower? btw: the part im having trouble with is getting the horse power

Answers

Energy added to the elevator (work) = (6,000 N) x (10 meters) = 60,000 joules.

Power = (energy) / (time) = (60,000 joules) / (30 seconds) = 2,000 watts.

Now, here comes the part you've been waiting for: The "horsepower".

We won't go through the history of 'horsepower', where it came from etc.
All you need to know is how it relates to 'watts'.

Here's that answer:   1 horsepower = 746 watts .

So the power of your elevator motor was

   (2000 watts) x (1 HP / 746 watts) = 2.681 horsepower (rounded)

Obviously, that unit has nothing to do with real horses, if it ever did.
It's just another name for 746 watts.

Now I WILL tell you how to remember that number ... because it's such a gas.
This story is not true either. But I bet you'll remember it, for a while anyway:

From the detailed entries in Christopher Columbus' log during his
first voyage to the New World, modern scientists have been able to
calculate that when running before a wind of 30 mph, the main sail
of the Nina, the Pinta, or the Santa Maria would have developed
almost exactly 2.0 horsepower.

Columbus discovered America in 1492 .

So each sailing horsepower on that voyage corresponded to

   1492 / 2 = 746 watts.

Sorry about that.
The devil makes me do it whenever the subject comes up.

19 is 30% of what number