Answer:
it is option is D
Step-by-step explanation:
Answer:
x = 6.00 $/kg ----> almond
y = 3.5 $/kg ------> nut
Step-by-step explanation:
To find the price per kg of each product you first write the algebraic equations for the given relations:
x : price per kg of almond
y: price per kg of nut
Then, you have:
5x + 4y = 44.00 (1)
8x + 6y = 69.00 (2)
By using substitution you have from (1):
y = (44.00-5x)/(4) = 11.00 - (5/4)x
you replace this expression for y into (2):
8x+6[11.00-(5/4)x] = 69.00
8x+66.00-(15/2)x = 69.00
8x-(15/2)x = 69.00 - 66.00
(1/2)x = 3.00
x = 6.00 $/kg ----> almond
And for nut:
y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg
y = 3.5 $/kg ------> nut
B is an Obtuse angle! and I’m 100% sure!
A
First, I’m going to the line is question into slope intercept form.
y + 10 = -5x + 5
y = -5x + 5 -10
y = -5x -5
y + 10 = -5 (x - 1) becomes y = -5x -5 in slope intercept form. I will call this line ‘line 1’
A becomes y = 5x -15 in slope intercept form
B becomes y = -5x + 25 in slope intercept form
C becomes y = -5x -5 in slope intercept form
D becomes y = -5x + 10 in slope intercept form
C is the same line as line 1. Any point that is on line 1 is also on line C, so C cannot be it.
Notice that line B and D have the same slope but different y-intercepts as line 1. That means these lines are parallel (not the same line though - different y intercepts) to line 1, so they will never intercept.
Line A has a different slope vs line 1, so they will eventually intersect only once
Answer: look at the picture
Step-by-step explanation: Hope this help :D