We can use fraction to solve this problem. Since Jean can fill the pool in 8 hours and Mark in 12 hours, we can use the formula X/8 + X/12 = 1 where X/8 stands for Jean's job and X/12 for Mark's.
X - total number of hours Jean and Mark can fill the pool
To add the two fractions, we need to have the same denominator which is 24.
The equation will be (3X + 2x) / 24 = 1, which will give us a simplified formula of 5X / 24 = 1.
To get X, we need to multiply 24 to both sides (5X/24 and 1) so that the equation will be 5X = 24. We only need to solve for X, so we will remove 5 from X by dividing it to 24, giving us the equation 5X/5 = 24/5.
The final answer will be X = 24/5 hours or 4.8 hours.
Therefore, the supervisor is incorrect since Jean and Mark can fill the pool in less than 10 hours.
Step-by-step explanation:
Given
f(x) = 4x - 3
g(x) = 10 - x
So Now
gf(x) = g( 4x - 3)
= 10 - 4x + 3
= 13 - 4x
Hope it will help :)❤
Answer:
length between is <u>8</u><u>.</u><u>5</u><u>4</u><u> </u><u>units</u>
Step-by-step explanation:
Formular:
x1 is -4
x2 is 4
y1 is 4
y2 is 1
Answer: 6,000
If the value before the one you are rounding to is 5 or greater then round up. If it is 4 or less round down.
Answer: The sides length are 8.32 cm
Step-by-step explanation:
An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.
The area of a triangle is 
where the base is L, the Area is 30 and an unknown height.
To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of 
, a hypotenuse of L and a the unknown height.
Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, 
Where one c is and the other is the height.
Then we find one of the c of the equation wich will be the height.
Finally, we use the triangle area mentioned before an find the value of L.
