111 yards
Explanation
Step 1
to solve this we need to know the equivalence
![\begin{gathered} 3\text{ ft= 1 yd} \\ 3\text{ ft}\leftrightarrow1\text{ yd} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%203%5Ctext%7B%20ft%3D%201%20yd%7D%20%5C%5C%203%5Ctext%7B%20ft%7D%5Cleftrightarrow1%5Ctext%7B%20yd%7D%20%5Cend%7Bgathered%7D)
Now, we can apply a rule of three
let x represents the number of yards in 333 ft, so
so
![\begin{gathered} if \\ 3\text{ ft}\rightarrow\text{ 1 yd} \\ \text{then} \\ 33\text{ ft}\rightarrow x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20if%20%5C%5C%203%5Ctext%7B%20ft%7D%5Crightarrow%5Ctext%7B%201%20yd%7D%20%5C%5C%20%5Ctext%7Bthen%7D%20%5C%5C%2033%5Ctext%7B%20ft%7D%5Crightarrow%20x%20%5Cend%7Bgathered%7D)
as the ratio is the same, we have a proportion
![\begin{gathered} \frac{3\text{ ft}}{1\text{ yd}}=\frac{33\text{ ft}}{x\text{ yd}} \\ \frac{3}{1}=\frac{33}{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%5Ctext%7B%20ft%7D%7D%7B1%5Ctext%7B%20yd%7D%7D%3D%5Cfrac%7B33%5Ctext%7B%20ft%7D%7D%7Bx%5Ctext%7B%20yd%7D%7D%20%5C%5C%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B33%7D%7Bx%7D%20%5Cend%7Bgathered%7D)
Step 2
now, solve for x
![\begin{gathered} \frac{3}{1}=\frac{333}{x} \\ \text{cross multiply} \\ 3\cdot x=333\cdot1 \\ 3x=333 \\ \text{divide both } \\ \frac{3x}{3}=\frac{333}{3} \\ x=111 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%7D%7B1%7D%3D%5Cfrac%7B333%7D%7Bx%7D%20%5C%5C%20%5Ctext%7Bcross%20multiply%7D%20%5C%5C%203%5Ccdot%20x%3D333%5Ccdot1%20%5C%5C%203x%3D333%20%5C%5C%20%5Ctext%7Bdivide%20both%20%7D%20%5C%5C%20%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B333%7D%7B3%7D%20%5C%5C%20x%3D111%20%5Cend%7Bgathered%7D)
so, the answer is 111 yards
I hope this helps you
Answer:
3
Step-by-step explanation:
3 is the explanation to the math problem of 3 x _=6 the answer wold be a perfect 3.
The probability that the person uses exactly one of the facilities = 95/130 .
<h3>What is Probability ?</h3>
Probability is the branch of Mathematics which helps to determine the likeliness of an event to happen.
The data is given and the probability that the person uses exactly one of the facilities is asked
73 people use the gym. P(G)
62 people use the swimming pool. P (S)
58 people use the track. P (T)
22 people use the gym and the pool. P (G ∩ P)
29 people use the pool and the track. P (P ∩ T)
25 people use the gym and the track. P (G ∩ T)
11 people use all three facilities. P (P∩G∩T)
P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T)
73 + 62 + 58 -22-29-25 -11-11 = 95
The probability that the person uses exactly one of the facilities = 95/130 .
To know more about Probability
brainly.com/question/11234923
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<span>In a standard batch, you have 11 pounds of flour, 9 pounds of eggs, 3 pounds of yeast and 2 of salt. This means the bread dough will weigh 11+9+3+2=25 pounds. The ratio of yeast to dough is then 3:25. To get 20 pounds of dough, we need x amount of yeast. Since its a ratio, 3/25 = x/20. We then solve for x, so x = 20*(3/25) = 12/5 = 2.4 pounds of yeast.</span>
9 - 2c + c = -13
9 - 3c = -13
-3c = -22
c = 7 1/3