Answer:
they would eat 3500 pounds of food in 1 week
Step-by-step explanation:
its simple math just multiply 500 by 7 and you would get 3500
Answer:
1. 15 (A)
2. 12 (G)
Step-by-step explanation:
1. We can make an equation out of this...
3x+3=48
x is the age of Geoff which is what we are trying to find out
We have to add 3 to both sides of the equation
3x+3=48
-3 -3
________
we end up with 3x=45
we then have to divide 3 by both sides because its the opposite of
multipling
3x=45
_____
3
we get x=15
2. We can write a problem statement
(2 x 9)-6=?
multiply 2 and 9 <u>FIRST</u>
18-6=?
your answer is 12
Your Welcome! Have a great rest of your day! :)
Answer:
Ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Step-by-step explanation:
Let the number of red fish and blue fish in the large tank are x and y respectively.
Similarly ratio of red fish and blue fish in the small tank are x' and y' respectively.
Since in each tank ratio of the red fish to blue fish is 333 : 444
That means x : y = 333 : 444
Or ![\frac{x}{y}=\frac{333}{444}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B333%7D%7B444%7D)
⇒ ![\frac{x}{y}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B3%7D%7B4%7D)
⇒ y =
--------(1)
Similarly x' : y' = 333 : 444
⇒ ![\frac{x'}{y'}=\frac{333}{444}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%27%7D%7By%27%7D%3D%5Cfrac%7B333%7D%7B444%7D)
⇒ ![\frac{x'}{y'}=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%27%7D%7By%27%7D%3D%5Cfrac%7B3%7D%7B4%7D)
⇒ x' =
------(2)
Ratio of the fish in large tank to the fish in small tank is 464646 : 555
So (x + y) : (x' + y') = 464646 : 555
![\frac{x+y}{x'+y'}=\frac{464646}{555}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2By%7D%7Bx%27%2By%27%7D%3D%5Cfrac%7B464646%7D%7B555%7D)
Now we replace the values of x and y' from equation (1) and equation (2)
![\frac{(x+\frac{4x}{3})}{(\frac{3y'}{4}+y')}=\frac{464646}{555}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B%5Cfrac%7B4x%7D%7B3%7D%29%7D%7B%28%5Cfrac%7B3y%27%7D%7B4%7D%2By%27%29%7D%3D%5Cfrac%7B464646%7D%7B555%7D)
![\frac{\frac{7x}{3}}{\frac{7y'}{4}}=\frac{464646}{555}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B7x%7D%7B3%7D%7D%7B%5Cfrac%7B7y%27%7D%7B4%7D%7D%3D%5Cfrac%7B464646%7D%7B555%7D)
![\frac{4}{3}\times \frac{x}{y'}=\frac{464646}{555}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7Bx%7D%7By%27%7D%3D%5Cfrac%7B464646%7D%7B555%7D)
![\frac{x}{y'}=\frac{3}{4}\times \frac{464646}{555}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%27%7D%3D%5Cfrac%7B3%7D%7B4%7D%5Ctimes%20%5Cfrac%7B464646%7D%7B555%7D)
![\frac{x}{y'}=\frac{232323}{370}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%27%7D%3D%5Cfrac%7B232323%7D%7B370%7D)
![\frac{y'}{x}=\frac{370}{232323}](https://tex.z-dn.net/?f=%5Cfrac%7By%27%7D%7Bx%7D%3D%5Cfrac%7B370%7D%7B232323%7D)
![\frac{y'}{x}=\frac{10}{6279}](https://tex.z-dn.net/?f=%5Cfrac%7By%27%7D%7Bx%7D%3D%5Cfrac%7B10%7D%7B6279%7D)
Therefore, ratio of blue fish in the small tank to the red fish in large tank is 10 : 6279
Answer:
Felix's third test score must be greater than 94
Step-by-step explanation:
Felix scores on Sociology 212 tests:
1st test - 52
2nd test - 64
3rd test - x
Find the average of Felix's scores:
![\text{Average}=\dfrac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=\dfrac{52+64+x}{3}](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3D%5Cdfrac%7B%5Ctext%7BThe%20sum%20of%20all%20scores%7D%7D%7B%5Ctext%7BThe%20total%20number%20of%20scores%7D%7D%5C%5C%20%5C%5C%5Ctext%7BAverage%7D%3D%5Cdfrac%7B52%2B64%2Bx%7D%7B3%7D)
An average of the three test must be above 70, this means
![\text{Average}>70\\ \\\dfrac{52+64+x}{3}>70](https://tex.z-dn.net/?f=%5Ctext%7BAverage%7D%3E70%5C%5C%20%5C%5C%5Cdfrac%7B52%2B64%2Bx%7D%7B3%7D%3E70)
Solve this inequality. First, multiply it by 3:
![52+64+x>210\\ \\x>210-52-64\\ \\x>94](https://tex.z-dn.net/?f=52%2B64%2Bx%3E210%5C%5C%20%5C%5Cx%3E210-52-64%5C%5C%20%5C%5Cx%3E94)
0.4219 Approximately .
Also HIIII