Answer:
60
Step-by-step explanation:
Given: 0.25x + 2.50y = 150
Getting y by itself: 2.50y = -0.25x + 150
Getting y by itself part 2: y = -0.1x + 60
The b (y-intercept) is 60.
[bolded above]
Hope this helps, have a nice day :D
Answer:
57
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = (1/3)πr²h
For a pile with a radius of 8.5 m and a height of 9 m, the volume is ...
V = (1/3)π(8.5 m)²(9 m) = 216.75π m³ ≈ 680.94 m³
Then the number of truckloads required to create that size pile will be ...
(680.94 m³)/(12 m³/truck) = 56.745 trucks
Even a partial truck load entails another trip, so ...
57 truck loads of sand are needed.
Answer: 43%
Step-by-step explanation:
Old house: 89 miles away.
New house: 51 miles away.
Let 100 be 100% of 89, x our new percentage of 51.
So, if 57% is 51 miles, substract 57 from 100.
100-57=43% This is the decrease.
If we are to express the word problem to its mathematical expression,
(x^5/8)^2/3
The concept to be used in order to answer this item is the product of the exponents. If,
(x^m)^n
The final answer would be,
x^mn
If we apply the same principle to the equation above,
(x^5/8)^(2/3)
x^(5/8)(2/3)
<em>x^5/12
</em><em />Thus, the most simplified form is equal to x^5/12.
Answer:
The distance from the ball to the left post is 50 feet.
Step-by-step explanation:
Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:
A ^ 2 = B ^ 2 + C ^ 2
A ^ 2 = 14 ^ 2 + 48 ^ 2
A ^ 2 = 196 + 2,304
A = √2500
A = 50
Thus, the distance from the ball to the left post is 50 feet.
