Answer:
x+ 2y ≥ 240 is the linear inequality in standard form for this situation.
Step-by-step explanation:
Let the number of hot chocolates sold = x
Cost of each hot chocolate = $1
Let the number of apple ciders sold = y
Cost of each hot chocolate = $2
So, the total amount earned = x ( $1) + y ($2)
Also, the total amount earned should at least be $240
Hence, according to the question
x+ 2y ≥ 240 is the linear inequality in standard form for this situation.
Answer
6ac−2b−2
Step-by-step explanation:
Let's simplify step-by-step.
4ac+3−2b+2ac−5
=4ac+3+−2b+2ac+−5
Combine Like Terms:
=4ac+3+−2b+2ac+−5
=(4ac+2ac)+(−2b)+(3+−5)
=6ac+−2b+−2
Answer:
True
Step-by-step explanation:
We have that,
The cone A has the length of the lateral side = h and the height of the cylinder B = h.
Since, the lateral surface areas are given by,
Lateral surface area of cone =
, where l is the length of the lateral side.
So, we get
=
.
Also, Lateral surface area of cylinder is
, where h is the height of the cylinder.
So, we get
= 
Thus, we see that, 
Hence, the given statement is correct.
Here you go let me know if you have questions
Answer:
a) slope intercept form: y = -5/14 x + 7/2
b) point slope form: y - 1 = 3/2(x - 4)
Step-by-step explanation:
a) Line A: (4,1) and (0, 7/2)
Slope = (1 - 7/2)/(4 - 0)
Slope = - 5/2 * 1/4
Slope = - 5/14
Equation in slope intercept form:
y = -5/14 x + 7/2
b)
(4,1) and (0, -5)
Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2
Equation in point slope form:
y - 1 = 3/2(x - 4)