Answer: 35≤ x ≤95
x ≤ 2y
y≤125
Step-by-step explanation:
In an optimization problem, a constraint is a condition with variables that the solution must meet.
Let x = Number of cinnamon strawberry raisin buns.
y = Number of cinnamon chocolate mango buns baked.
"at least 35 and not more than 95 cinnamon strawberry raisin buns per day."
⇒ 35≤ x ≤95
"cinnamon strawberry raisin buns cannot exceed twice the number of cinnamon chocolate mango buns baked."
⇒ x ≤ 2y
" cinnamon strawberry raisin buns cannot exceed 125 per day"
⇒ y≤125
Hence, the constraints are:
35≤ x ≤95
x ≤ 2y
y≤125
2 hours and 18 minutes
Before Amanda has to be at home
The variable is h and t
the terms is 7h+3-t
the coefficients is 7
First, you should graph the points. For the first number, called the X-Axis, you should to the right or left, and for the second number, called the Y-Axis, you should go up or down.
To find the distance between Point A and Point C, you should simply just count the number of intersections between them (4).
Angle B is a right angle because if the triangle is bisected at B, it will leave a right angle on either side. Therefore, to label it, you should simply just draw a line through Point B all of the way to line (A,C).
The type of triangle you have drawn is an isosceles, because it has 2 equal angles and 2 equal sides.
We know both of the sides that are unknown will be the same because the triangle is bilateral. Then, we can use the bisection we made earlier to solve for the unknown sides using Pythagorean Theorem. Since earlier, we know the entire bottom is 4, we know half of the bottom is 2. We can also see that the height of the triangle is 2. We then plug those numbers into the Pythagorean Theorem (A^2*B^2=C^2) which makes the value of C^2=16. We then take the square root of C^2 and 16 to see that both unknown sides are 4.
