Answer:
Dependent Variable = tips left by male customers
Independent Variable = T-Shirt color worn by waitresses
Step-by-step explanation:
Dependent variable is the variable that changes when the independent variable changes.
In other words, when the independent variable is varied, the dependent variable changes. The dependent variable is the effect or outcome of the manipulation of the independent variable.
In the study referred to in the question above, the amount of tips given to waitresses is dependent on the color of the T-shirt the waitresses wear.
Therefore, the dependent variable is T-Shirt color, while the independent variable is the amount of tips given.
Answer:
(x,y): (6 , -3) or (-30/7 , 33/7)
Step-by-step explanation:
6x + 8y = 12
x = y + 9 or y = x+ 9
if x = y+9
6*(y+9) + 8y = 12
14y = -42
y = -3 and x = 6
if y = x+9
6x + 8*(x+9) = 12
14x = -60
x = -30/7 and y = 33/7
Answer:
50.28 sq. cm.
Step-by-step explanation:
A and B are centers of two circles of radii 8 cm and 1 cm such that AB =13 cm.
Now, angle ACB =90 degree where C is the center of another circle which touches the above two circles.
Now, ABC forms a right triangle where AB = 13 cm, AC = (r + 8) cm and BC = (1 + r) cm.
{Where r is the radius of the circle C.
Applying Pythagoras Theorem. AB² = AC² + BC²
⇒ 13² = (r + 8)² + (r + 1)²
⇒ 169 = r² + 16r + 64 + f² + 2r + 1
⇒ 2r² + 18r - 104 = 0
⇒ r² + 9r - 52 = 0
⇒ (r + 13)(r - 4) = 0
Hence, r = 4 {As the value of r can not be negative}
Therefore, the area of the circle C is π(4)² = 50.28 sq. cm. (Answer)
Answer:
315
Step-by-step explanation:
If i understand this correctly, you just need to get the volume of the box and divide it by the volume of the 1/2 cube to see how many will fit.
# 1/2in cubes = (5.25 * 3 * 2.5)/(0.5 * 0.5 * 0.5)
# 1/2in cubes = (39.375)/(0.125) = 315
