Answer and Step-by-step explanation:
Let
Number of chocolate chip cookies = x
Number of oatmeal brownie cookies = y
Bake chocolate chip cookies up to 20 dozen = x≤ 20
Bake oatmeal brownies up to 40 dozen= y≤40
Total cookies = x + y ≤ 50
Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x
From the inequality:
X + y=50
y = 3x
By putting the value of y, we get
x + 3x = 50
4x = 50
X = 12.5
By putting the value of x=12.5 in equation y = 3x, we get
Y = 3(12.5)
= 37.5
Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.
Answer:
The slope is 3.
Step-by-step explanation:
A direct variation function will always go through the origin point (0, 0).
Therefore, we have the two points (0, 0) and (-2, -6).
We can use the slope formula to find the slope:
Substitute and evaluate:
Therefore, the slope of the function is 3.
To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.
Use the Cosine Rule to find this
cos <B = [b^2 - a^2 - c^2] / -2ac
= [ 4^2 - 10^2 - 11^2] / -2*10*11
= 0.93182
so m < B = 21.3 degrees to nearest tenth. Answer
(-1, 0)
Start by adding -2x to both sides of the second equation. Then substitute that equation into the first.
3x+3(2x+2)=-3
Solve the equation for x.
When you've found the value of x, substitute that value into the equation with the isolated y.
y=2(-1)+2
I believe you have 6 bacteria 120 divided by 20 is 6 so
