*No Links* Anton wants to plant a small orchard of apple trees and cherry trees in his backyard. He has a budget of $1,000, and
his plot has a maximum of 100 square feet. The apple trees he wants cost $40 each and require 5 square feet. The cherry trees he wants cost $50 each and require 4 square feet.
The following first-quadrant graph shows the system of inequalities that represents the situation,
5x+4y≤1005x+4y≤100
40x+50y≤100040x+50y≤1000
with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.
Which combination of trees is a viable solution for this situation?
Group of answer choices There are more than one answer
A) 0 apple trees and 25 cherry trees
B) 24 apple trees and 0 cherry trees
C) 12 apple trees and 6 cherry trees
D) 20 apple trees and 4 cherry trees
E) 14 apple trees and 11 cherry trees
The following first-quadrant graph shows the system of inequalities that represents the situation,
5x+4y≤1005x+4y≤100
40x+50y≤100040x+50y≤1000
with the number of apple trees along the x-axis and the number of cherry trees along the y-axis.
Which combination of trees is a viable solution for this situation?
Group of answer choices There are more than one answer
A) 0 apple trees and 25 cherry trees
B) 24 apple trees and 0 cherry trees
C) 12 apple trees and 6 cherry trees
D) 20 apple trees and 4 cherry trees
E) 14 apple trees and 11 cherry trees
1 answer:
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The value of x in the diagram is 15° and the value of y is 6°
Please find attached the diagram used in answering this question
The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees
The first step is to determine the value of x.
The value of x can be determined using the exterior angle.
The sum of the two interior opposite angles in a triangle is equal to the external angle
(4x - 7)° + 86° = (9x + 4)°
Combine similar terms
9x - 4x = 86 - 7 - 4
5x = 75
x = 15°
To determine the value of y, first substitute for the value of x in the angle (4x - 7)°
(4x - 7)° = (4x15) - 7 = 53°
The sum of angles in a triangle add up to 180°
53° + 86 + (7y - 1) = 180°
add like terms
138 + 7y = 180
7y = 42
y = 6°
To learn more, please check: brainly.com/question/23688688?referrer=searchResults
To add fractions together, you must convert the smaller fraction () to a denominator that matches the other fractions denominator.
In this case, 1/2 would become 4/8
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Then we can add the 1 to it, which acts as 8.
Which gives us 19/8
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