Answer:
700 apples
Step-by-step explanation:
Let
x = Total number of apples in the cart
Percentage of apples sold = 40%
Number of apples sold = Percentage of apples sold * Total number of apples in the cart
= 40% * x
= 0.4 * x
= 0.4x
Number of apples left in the cart = 420
Total number of apples in the cart = Number of apples sold + Number of apples left in the cart
x = 0.4x + 420
x - 0.4x = 420
0.6x = 420
x = 420/0.6
x = 700
x = Total number of apples in the cart = 700
Lawrence started with 700 apples
Answer:
The correct option is;
Decrease b.
Step-by-step explanation:
The given information are;
The function in the question is given by the equation, y = a·cos(b·x)
Where;
a > 0 and b > 0
The location of the x-intercept is given by the values of x when y = 0 which are obtained as follows;
When y = 0, y = a·cos(b·x) = 0
Therefore;
cos(b·x) = 0/a = 0
∴ b·x = cos⁻¹(0) = π/2, 3·π/2, (4·n×π + π)/2
Therefore, as b decreases, x increases.
Answer:
8:12
Step-by-step explanation:
2+3 = 5
20 div 5 = 4
2 times 4 = 8
3 times 4 =12
8:12
Given:
Area = 18
Length = 8
Width = ?
Area = length * width
(Substitute the values)
18 = 6 * width
Width = 18 / 6
Width = 3mm
Therefore, width of the rectangle is 3mm
To check if the answer is correct
Area = length * width
Area = 6 * 3
Area = 18 mm2
You do this by creating an equation with the expressions you've been given, and then solving:
3x - 14 + x + 90 = 180
4x - 14 + 90 = 180
- 90
4x - 14 = 90
+ 14
4x = 104
÷ 4
x = 26
Then you substitute 26 into (3x - 14):
3(× 26) - 14 = 78 - 14 = 64
So your answer is 64°
