Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.
<h3>What is the together rate?</h3>
The together rate is the sum of each separate rate.
In this problem, the rates are:
Hence:
![\frac{1}{12} + \frac{1}{x} = \frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
![\frac{x + 12}{12x} = \frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%2012%7D%7B12x%7D%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
![12x = 8x + 96](https://tex.z-dn.net/?f=12x%20%3D%208x%20%2B%2096)
![4x = 96](https://tex.z-dn.net/?f=4x%20%3D%2096)
![x = \frac{96}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B96%7D%7B4%7D)
![x = 24](https://tex.z-dn.net/?f=x%20%3D%2024)
If Mrs Adams camps alone, she will use all the water in 24 hours.
More can be learned about the together rate at brainly.com/question/25159431
Answer:
Step-by-step explanation:
1 3/11=14/11
1 4/5=9/5
------------------
Because 1*11=11 and 11*3=14.
Because 1*5=5 and 5*4=9.
Answer:
-3
Step-by-step explanation:
2x + 3 +7x = -24
Add the X together
9x +3 = -24
Bring over the +3. [when you bring over change the sign]
9x = -24 -3
9x = -27
-27 divide by 9 to find X
therefore answer is
x= -3.
Hope this helps
Answer:the 3 rd option is the answer..
Step-by-step explanation:
Answer:
x =
and y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
Step-by-step explanation:
Applying the trigonometric functions to the given triangle;
i. To determine the value of x;
Sin θ = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Sin 45 = ![\frac{x}{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B16%7D)
x = 16 * Sin 45
= 16 * ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
x = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
ii. To determine the value of y;
Cos θ = ![\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
Cos 45 = ![\frac{y}{16}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B16%7D)
y = 16 * Cos 45
= 16 * ![\frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)
Thus, x =
and y = ![\frac{16}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B%5Csqrt%7B2%7D%20%7D)