If one honeybee makes 1/12 teaspoon of honey during its lifetime, how many honeybees are needed to make 1/2 teaspoon of honey

Answers

Answer 1
Answer: In this case we have to have a common denominator in order to compare to the two fractions.
(1)/(2) =  (x)/(12) We know that 2 × 6= 12 
So multiply the numerator and denominator by 6
(1)/(2) × (6)/(6) =  (6)/(12)
Therefore, the amount of honey needed is (6)/(12) teaspoons
So in total 6 bees are needed to make (1)/(2) teaspoons of honey because we know that (6)/(12) is the same as half

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What is the answer pls help

Answers

2h + 8 > 3h - 6

To solve this question, we must isolate the h

Subtract 3h from both sides

2h (-3h) + 8 > 3h (-3h) - 6

2h - 3h + 8 > -6

-h + 8 > - 6

Subtract 8 from both sides to isolate the h

-h + 8 (-8) > - 6 (-8)

-h > - 6 - 8

-h > -14

Finally, isolate the h by making it a positive. To do so, divide - 1 from both sides. Note that when you divide a negative number, you must flip the sign.

-h/-1 > - 14/-1

h < 14

h < 14, or (1) is your answer

hope this helps

There are 50 questions to answer in a trivia contest. Each player starts with 100 points. He or she earns 10 points for each correct answer but loses 4 points with each incorrect answer. Each player must answer all 50 questions. What is the fewest number of questions a contestant must answer to get a score over 350?I just need to know how to set it up?

Answers

Answer:

Step-by-step explanation:

the fewest number you would have to answer to get 350 would be 25.

to get the fewest number you would not be able to miss any before reaching 350 points. since you are aiming for a minimum of 350 points and you start out with 100 you would divide 250 by 10 to get 25

25 questions , because they start with 100. 350-100=250 .. 250/10=25

Please help due today by 11!! Plzz urgent

Answers

Answer:

108pi inches^3

Step-by-step explanation:

Pi x r^2 x h

HELP PLEASE!!You just bought an aquarium for your fish, which is 39.75 inches wide and 11.375 inches deep. The salesman told you to keep the water 2 inches from the top of the tank so the filter to works properly. If the tank is 14 inches high, how many cubic inches of water will it contain once it's filled?


A. 5,552 in. cubed
B. 5,426 in. cubed
C. 5,087 in. cubed
D. 4,668 in. cubed

Answers

The water could reach 14 - 2 = 12 inches
Solved
39.75 * 11.375 * 12 = 5426
in.cubed

A ball is thrown into the air with an initial upward velocity of 60ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+60t+6a. After how many seconds will the ball hit the ground?
b.What will the height be at t=3 seconds
Also, please show work, thanks!

Answers

Part a.

You need to solve the quadratic function h = -16t^2 + 60 t + 6 = 0

-16t^2 + 60 t + 6 = 0

Divide by 2, just to make the numbers easier

-8t^2 + 30t + 3 = 0

Use the quadratic formula to find the roots

t=[ -b ± √(b^2-4ac) ] /2a

t=[-30 ± √(30^2-4(-8)(3) ]/2(-8)

t=[-30 ± √(900 + 96) ]/(-16)

t=[-30 ± √(996) ]/(-16)

t=[-30 ± 31.56) ]/(-16)

t=[-61.56) ]/(-16) = 3.85 s

Part b)

h = -16t^2 + 60 t + 6
h (3) = -16(3)^2 + 60 (3) + 6 = -144 + 180 + 6 = 42 ft

5/12-3/20 use the least common multiple as the denominator

Answers

The common multiple of 12 and 20 is 60.
You've got to multiply the first one by 5 and the second by 3.
5*5= 25
This therefore becomes 25/60
The second becomes 3*3= 9
This becomes 9/60
As you're subtracting, you only subtract the numerators.
25-9= 16
Therefore, the answer is 16/60 which can be simplified to 4/10 or 2/5
Hope this helps :)