Answer:
All the left numbers of the Ratio go by 8's times tables and all the right numbers go by 5's times tables
Step-by-step explanation:
8x1= 8
8x2 =16
8x3 = 24
5x1= 5
5x2= 10
5x3= 15
Let me know if its right.
Let p = pictures only
let f = pictures with frames
p + f = 100
5p + 10f = 875
Solve for one variable in the first equation then plug into the second
p = 100 - f
5(100 - f) + 10f = 875
500 - 5f + 10f = 875
500 + 5f = 875
5f = 375
f = 75
75 pictures with frames were sold
Answer:
122in^2
Step-by-step explanation:
A= 10x10x3.14 = 314in^2
Ar= 12x16= 192in^2
Asr= 314-192= 122in^2
This can be solved in two ways: With heavy tools or with just algebra.
What is your level? Have you studied calculus?
With pure algebra:
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity:
</span><span>h = −(16t2 - 36t - 5)
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36
Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25
16t^2 - 36t - 5 and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side
Getting long, just stay with me:
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25
h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25
We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
Answer:
I think there 1 and 1/2 quarts of lemonade left in the pitcher because in 1 quart there is 4 cups of something. In one gallon there are 4 quarts. So in one gallon there are 16 cups. How I got 16 cups it’s easy (4+4+4+4) . So they drank 5 glasses and each glass is 2 cups. So it will be 10 cups. (2+2+2+2+2). So in one gallon 16 cups they drank 10 cups. 6 cups left. 4 cups one quart and 2 cups is 1/2 of one quart. So the answer is 1 and 1/2 quarts of lemonade. Thank you
Step-by-step explanation:
