Maybe this, tell me if its right or wrong
and if its wrong I'm sorry.
ANSWER
The missing term is 42.
EXPLANATION.
We want to find the missing term of the equivalent ratio. 90:15=_____:7
Let y be the missing term, then
90:15=y:7
We rewrite as fractions to get;
![\frac{90}{15} = \frac{y}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B90%7D%7B15%7D%20%20%3D%20%20%5Cfrac%7By%7D%7B7%7D%20)
Simplify the left ratio:
![\frac{6}{1} = \frac{y}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B1%7D%20%20%3D%20%20%5Cfrac%7By%7D%7B7%7D%20)
Cross multiply:
![6 \times 7 = 1 \times y](https://tex.z-dn.net/?f=6%20%5Ctimes%207%20%3D%201%20%5Ctimes%20y)
![42 = y](https://tex.z-dn.net/?f=42%20%3D%20y)
Therefore the missing term is 42.
Answer:
subtract the term in "x" (1/7 x) on both sides of the equal sign
Step-by-step explanation:
Recall that in order to get a linear equation in slope-intercept form, all is needed is to solve for for "y" in the equation. That means isolate the variable "y" on one side of the equal sign.
In order to do such, all is needed in the given equation:
, is to subtract the term in "x" on both sides of the equal sign, so the term disappears on the left, leaving the variable "y" on its own:
![\frac{1}{7} x+y=-8\\\frac{1}{7} x-\frac{1}{7} x+y=-8-\frac{1}{7}x\\ y=-\frac{1}{7} x-8](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D%20x%2By%3D-8%5C%5C%5Cfrac%7B1%7D%7B7%7D%20x-%5Cfrac%7B1%7D%7B7%7D%20x%2By%3D-8-%5Cfrac%7B1%7D%7B7%7Dx%5C%5C%20y%3D-%5Cfrac%7B1%7D%7B7%7D%20x-8)
This last expression is now the equation of the line in slope-intercept form.
Answer:
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Answer:
6 bench seats creates an arc of 56.52 foot.
Step-by-step explanation:
We are given the following in the question:
Total number of bench seats in Ferris wheel = 24
Radius of Ferris wheel = 36 feet
We have to find the arc length created by 6 bench seats.
Angle formed by 6 bench seats =
![\theta = \dfrac{6}{24}\times 360 = 90^\circ](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cdfrac%7B6%7D%7B24%7D%5Ctimes%20360%20%3D%2090%5E%5Ccirc)
Arc length =
![\dfrac{\theta}{360}\times 2\pi r](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctheta%7D%7B360%7D%5Ctimes%202%5Cpi%20r)
Putting values, we get,
![\dfrac{90}{360}\times 2(3.14)(36) = 56.52\text{ feet}](https://tex.z-dn.net/?f=%5Cdfrac%7B90%7D%7B360%7D%5Ctimes%202%283.14%29%2836%29%20%3D%2056.52%5Ctext%7B%20feet%7D)
Thus, 6 bench seats creates an arc of 56.52 foot.