Answer:
The plumber worked for 1.5 hours
Step-by-step explanation:
y = 130 + 56x
Substitute 214 for y in the equation
214 = 130 + 56x
-130 -130 Subtract 130 from both sides
84 = 56x Divide both sides by 56
1.5 = x
Answer:
67,500 m²
Step-by-step explanation:
ASSUMING the fields look like this __________________
| | |
| | | W
|_________|_________|
L
Let L be the length of the combined field and W be the width
2L + 3W = 1800
2L = 1800 - 3W
L = 900 - 1.5W
A = LW
A = (900 - 1.5W)W
A = 900W - 1.5W²
Area will be maximized when the derivative equals zero.
dA/dW = 900 - 3W
0 = 900 - 3W
3W = 900
W = 300 m
L = 900 - 1.5(300)
L = 450 m
A = LW = 450(300) = 135,000 m²
so each sub field is 135000/2 = 67,500 m²
3x+5y=11 answer : 3x+5y-11=0
Step by step explanation:
3x+5y=11
Move the constant to the left
3x+5y-11=11-11
Eliminate the opposite
3x+5y=11
5y+8y
Hello,
First, we distribute the -4 to -6x + 14 to get a resulting expression of 24x - 56. Now, our total equation is -2x + 24x - 56 = 76. Next, we combine like terms on the left side of the equation, and that results in 22x - 56 = 76. Now, we add 56 to both sides to get 22x = 132. Finally, we divide both sides by 22 to get x = 6. Therefore, the value of x is 6. Hope this helps and have a great day!
Answer: the number of presents that she has left to purchase is 6
Step-by-step explanation:
Let x represent the total number of presents that she has to purchase.
She bought three presents and says that she has 30% of her shopping finished. This means that she has finished (1/3 × x) = x/3 shopping. This is equivalent to 3 presents. Therefore,
x/3 = 3
x = 3×3 =9
She had 9 shopping to do
The number of shopping left will be total shopping that she has to do minus the shopping that she has done. It becomes
9 - 3 = 6
