Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.
Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532
50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4
5x + 3y = 44
11x + 9y = 133
So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.
-15x-9y=-165.
11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
Answer:
12 cups.
Step-by-step explanation:
Let x be the total cups of strawberries picked by Margo.
We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.
We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:
Let us multiply both sides of our equation by 3.
Let us divide both sides of our equation by 2.
Therefore, Margo picked 12 cups of strawberries.
Answer:
Usually the angles are measured from quadrant 1, where is the angle 0°.
If the angle moves counterclokwise, it is positive, if the angles goes clokwise, it is negative.
Then "On a coordinate plane, a ray moves counter-clockwise to form an angle. It moves from quadrant 1 to quadrant 4."
Will give a positive angle, and because we know that is in quadrant 4, the angle can be any angle between 270° and 360°
"On a coordinate plane, a ray moves counter-clockwise to form an angle. It moves from quadrant 1 to quadrant 2."
Same as before, this will create an angle with a positive measure, and the angle will be between 90° and 180°
<span>The cosine of an angle is the quotient of the side that angle lay on and the hypotenuse.</span>
x-hypotenuse
cos45=19/x
0.707=19/x, x=19/0.707, x=26.9
Hypotenuse is <span>approximately 27.</span>
Answer: it’s 8y-20
Step-by-step explanation:
