Answer:
4 2/17
Step-by-step explanation:
It takes 3 1/2 spoons of chocolate syrup to make 3 2/5 gallons of chocolate milk
3 1/2= 3 2/5
7/2= 17/5
1 gallon = 7/2÷17/5
= 7/2 × 5/17
= 35/34
Therefore the number of spoons required to make 4 gallons
= 4 × 35/34
= 140/34
= 70/17
= 4 2/17
When a company goes public it begins selling shares of stock in a public stock market. This means that i<span>t asks for money from investors and gives them a share of the company in return of their investment. </span>
The result is: The company gets the money and the investor gets a share in the company's ownership.<span>The investor gets a share and he becomes the owner of the company but he owns only a part corresponding to the number of shares he buys.</span>
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ -----\\ V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3\cdot 972\pi }{4\pi }=r^3 \\\\\\ 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0A-----%5C%5C%0AV%3D972%5Cpi%20%0A%5Cend%7Bcases%7D%5Cimplies%20972%5Cpi%20%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%20972%5Cpi%20%7D%7B4%5Cpi%20%7D%3Dr%5E3%0A%5C%5C%5C%5C%5C%5C%0A729%3Dr%5E3%5Cimplies%20%5Csqrt%5B3%5D%7B729%7D%3Dr%5Cimplies%20%5Cboxed%7B9%3Dr%7D)
now, recall that a diameter is twice as long as the radius, so the diameter is 2r.
Answer:
A = -10*p + 2220
Step-by-step explanation:
To write a linear equation let define
A = attendance
m = slope of the line
b = intercept of the line
p = Price of admision
let´s find m, using the two points (p,A)
point 1 = (17, 2050)
point 2 = (12, 2100)
m = (2100 – 2050)/(12-17) = -10
Replacing m in the equation
A=-10p+b
To find b, let´s use point 1
2050 = -10*17 + b
B = 2050 + 170
b = 2220
finally, the equation is
A = -10*p + 2220
Answer:
, 60.494%
Step-by-step explanation:
I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.
We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.
_ _ _ _ _ _ _ _ _
For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot
so
3*3*3*3 * 10*10*10*10*10
= 81*100000
= 8100000
The number of Y's will never affect the number of permutations of the numbers.
So:
For 1 y, we have
Y _ _ _ * 10*10*10*10*10
But we also have
_ Y _ _
_ _ Y _
and
_ _ _ Y
So we can multiply the number we get in one calculation by 4
4 *
Y _ _ _ * 10*10*10*10*10
2*2*2 * 10*10*10*10*10
= 800000 * 4 = 3200000
For 2 y's, we have
YY _ _
_ YY _
__ YY
3*
YY 2*2 * 10^5
4 * 100000
400000 * 3 = 1200000
For 3 y's, we have
YYY _
_ YYY
2 *
YYY 2 * 10^5
200000 * 2
= 400000
For 4 y's, we have
YYYY * 10^5
100000
Now we can add them all up and divide it by our original number 8100000
