Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
1.315%
Step-by-step explanation:
Given:
Prices:
Year 1 =old price =$95
Year 2 = new price = $96.25
The inflation rate is the difference in price between two Given period :
Inflation rate :
(Change in price / old price) * 100%
((New price - old price) / old price) * 100%
((96.25 - 95) / 96) * 100%
= (1.25 / 95) * 100%
= 0.0131578 * 100%
= 1.315%
the gardener would need (1 + 1/6) liters of water to water the whole garden.
<h3>How much water would the gardener need to water the whole garden?</h3>
Here we know that the gardener needs 1/3 of a liter of water to water 2/7 of a garden.
Then we have the relation:
1/3 L = 2/7 of a garden.
Now, we want to get a "1 garden" in the right side of the equation, then we can multiply both sides by (7/2), so we get:
(7/2)*(1/3) L = (7/2)*(2/7) of a garden
(7/6)L = 1 garden.
(1 + 1/6) L = 1 garden
This means that the gardener would need (1 + 1/6) liters of water to water the whole garden.
If you want to learn more about fractions:
brainly.com/question/11562149
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Answer:
1 line is determined by 2 points.
Step-by-step explanation:
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
![V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx](https://tex.z-dn.net/?f=V%3D%5Cpi%5Cint%5Climits%5Ea_b%20%7B%5BR%28x%29%5D%5E2-%5Br%28x%29%5D%5E2%7D%20%5C%2C%20dx)
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
