Answer:
3.5
Step-by-step explanation:
the answer is 3.5 because when you divide 63 and 18 you get 3.5
Answer:
See explanation
Step-by-step explanation:
(4)
Using the sine ratio in the right triangle
sinΘ =
=
, thus
Θ =
(
) ≈ 51.1°
(5)
Using the tangent ratio in the right triangle
tanΘ =
=
, thus
Θ =
(
) ≈ 38.7°
Answer:
,
,
and ![y\geq 0](https://tex.z-dn.net/?f=y%5Cgeq%200)
Step-by-step explanation:
Here, x represents the number of hours Zoe spent running on her wheel and y represents the number of hours spent scratching her cage.
Julie was awoke for at least an hour running on her exercise wheel and scratching the of her cage.
⇒ ![x+y\geq 1](https://tex.z-dn.net/?f=x%2By%5Cgeq%201)
She ran on her wheel at least twice as long as she scratched at the corners of her cage.
⇒ ![x\geq 2y](https://tex.z-dn.net/?f=x%5Cgeq%202y)
Also, She spent more than 1/4 hour running on her wheel.
⇒ ![x>\frac{1}{4}](https://tex.z-dn.net/?f=x%3E%5Cfrac%7B1%7D%7B4%7D)
And, we know that number of hours can not be negative.
⇒
Therefore, the complete system of inequality which shows the given situation is,
,
and
, ![y\geq 0](https://tex.z-dn.net/?f=y%5Cgeq%200)
Note: the feasible region ( covered by the given system) is shown in the below graph.
Answer:
The player answer correctly 30 questions
Step-by-step explanation:
First we have to develop the information that gives us as 2 equations
x = correct answer
y = incorrect answer
z = score = 40
h = total answer = 50
2x - y = z x + y = h
2x - y = 40 x + y = 50
we clear the x of one equation and replace the value of x in the other equation
x = 50 - y
2x - y = 40
2(50 - y) - y = 40
100 - 2y - y = 40
-3y = 40 -100
y = -60/-3
y = 20
x = 50 - y
x = 50 - 20
x = 30