Can someone help me find the constant? L varies directly as h; when l=112, h=-16

Answers

Answer 1
Answer: it varies directly
that means that when when L goes up, h also increases, when L decreases, h also decreases
so the constant is k where k=y/x
in this case it is k=L/h so subsitute
L=112
h=-16
k=L/h
k=112/-16
k=-7
the constant is -7
Answer 2
Answer: The statement is expressed as
L = kh
where k is constant
In terms of k,
k = L/h
Given L = 112 and h = 16
k = 112/-16 = -7

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It takes 45 minutes to bake 2 dozen cupcakes. At this rate, how many hours would it take to bake 8 dozen cupcakes? I need to show all work involved at arriving at the answer.

Answers

First you need to find how many minutes it takes to bake  1 dozen cupcakes.
45/2=22.5 minutes
Now you can start finding how many hours it would take to bake 8 dozen.
22.5 * 8 = 180.
180/60=3
Your answer is 3 hours!

well lets make these into fractions:) 

 2              8
---    ->     ----
45             x

see this is simple now we just have to find x
what do we multiply too 2 to get 8?
4 right?
so keeping that in mind we do the same thing to the denominator(the 45)

sooooo 45 x 4 = 180
now this is in minuets and since there are 60 minutes in one hour lets
divide 180/60 = 3 
see how simple this one was?
so it would take you three hours to make 8 dozen cupcakes

A contractor purchases 4 dozen pairs of padded work gloves for ​$58.56 SheShe incorrectly calculates the unit price as ​$14.64 per pair for the expense report. What is the correct unit​ price? What is the​ error?

Answers

She multiplied 14.64 by 4.
But there are 4 dozen making it 12*4=48 gloves
the correct unit price is 1.22 per each pair where as she calcualted the price of 12 gloves as 14.64

A pitcher can hold 1 7/8 pints of juice

Answers

There is no question it is just a statement.

the powers of 2 that are in the range 2  through 1,000 are 2,4,8,16,32,64,128,256,&512 .what does that  mean and it said find all the powers of 3 that are in range 3 through 1,000 

 

 

im so confused 

 

Answers

Answer:

  • the powers of 2 that are in the range 2  through 1,000 are 2,4,8,16,32,64,128,256,&512.

" This means that we are asked to find the value of 2^n for each n belonging to natural numbers.

Now we will stop our approximation when the value exceeds 1000.

i.e. the range is from 2-1000 ".

since the next number after 512 is 512×2=1024 which exceeds 1000. hence our successive approximation will stop at 512.

  • similarly for the powers of 3 i.e. 3^n

We will start writing our approximation and stop when it will exceed 1000.

i.e. 3, 3^2=9,3^3=27,3^4=81,3^5=243,3^6=729

i.e. the sequence is: 3,9,27,81,243,729.

We stopped at 729 because the next number in the series would be:

3^7=2187

which exceeds 1000.






It means you need to find every power of 3 that are in the range of 3-1000 - the power is the number that says how many times you multiply the original number by itself
So 3 to the 1st power is 3 = 3
3 to the 2nd power is 3X3 = 9
3 to the 3rd power is 3X3X3 = 27
And so on... Hope I helped!

A bag contains these granola bars: 12 Apple, 14 Peanut Butter, 18 Raisin, 10 Oatmeal. You pick one bar at random. Find the probability of picking: a) A peanut butter granola bar

b) An apple granola bar

Answers

Hi, first you got to add 12+14+18+10=54
54 will be your total.

A peanut butter granola will be 14/54 which when you simplify it will be 7/27. Since there is 14 peanut butter granola it will be on the denominator which is the part.

A apple granola will be 12/54 which when you simplify it will be 2/9. The part of the apple granola is 12.

The number is a fraction. 

3(3t + s) and 3s - t S = 9 and t =12

Answers

the answer is 108+3s i think but not 100% sure
3(3(12)+9)
3(36+9)
3(45)
165

3(9)-12
27-12
15