Answer:
2174.17
Step-by-step explanation:
multiply 543.542×4
you get 2174.168
round to the nearest hundredth
2174.17
2000 + 1500g ≤ 15000
1500g ≤ 15000 - 2000
1500g ≤ 13000
g ≤ 13000/1500
g ≤ 8 2/3
Therefore, the crane can safely lift a maximum of 8 2/3 cubic meters of gravel.
Answer:
see explanation
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Answer:
40.5 m²
Step-by-step explanation:
Area of the shaded = area of the square - area of the triangle
Area of square = s²
s = 9 m
Area of square = 9² = 81 m²
Area of triangle = ½*b*h
b = 9 m
h = 9 m
Area of triangle = ½*9*9 = 40.5 m²
Area of the shaded = 81 - 40.5 = 40.5 m²
Answer:
26 minutes
Step-by-step explanation:
Since the mean is the average of all the number, we need to reach a total of 315 minutes for the entire week.
![35+40+37+42+45+50=\\75+40+37+42+45+50=\\115+37+42+45+50=\\152+42+45+50=\\194+45+50=\\239+50=\\289](https://tex.z-dn.net/?f=35%2B40%2B37%2B42%2B45%2B50%3D%5C%5C75%2B40%2B37%2B42%2B45%2B50%3D%5C%5C115%2B37%2B42%2B45%2B50%3D%5C%5C152%2B42%2B45%2B50%3D%5C%5C194%2B45%2B50%3D%5C%5C239%2B50%3D%5C%5C289)
Since 315 - 289 = 26, she needs to exercise for 26 minutes on the 7th day in order to reach her goal.