Answer: See Annex
z (max) = 190
x = 10
y = 20
Step-by-step explanation:
z = 5*x + 7*y to maximize
Subject to:
x + y ≤ 30
2*x + y ≤50
2*x - y ≥ 0
x≥= y ≥0
Answer:
6
Step-by-step explanation:
Express the equation in slope- intercept form
y = mx + b ( where m is the slope and b the y- intercept )
Here m = - 0.5, thus
y = - 0.5x + b
To find b substitute (10, 1) into the equation
1 = - 5 + b ⇒ b = 1 + 5 = 6 ← y- intercept
I'm not quite sure if this is what you need, but I am going to solve these equations by elimination. x= 8/17 and y = 11/17 (8/17, 11/17).
The common denominators of ¹/₄ and ⁷/₁₀ are; 20 and 40
<h3>How to find the denominator?</h3>
The numerator of a fraction is the top value while the denominator of a fraction is the value at the bottom.
Now, we want to find the common denominator of ¹/₄ and ⁷/₁₀.
The common denominator can't be less than 4 or 10 and so has to be at least two terms that are divisible by 4 and 10. The next two common denominators that are greater than 10 but divisible by both 4 and 10 are 20.
Read more about denominators at; brainly.com/question/12182689
#SPJ1
Answer:
49.4 (rounded to the nearest tenth)
Step-by-step explanation:
You need to use the Pythagorean theorem ->
->
is the hypotenuse

+
= 
(7x
+ (5x7) = 
+ 35 = 
2436 = 
= c
c = 49.355850717
c = 49.4 (round to the nearest tenth)
hope this helps, sorry if it is not right