Answer:
x=20
Step-by-step explanation:
hope this helps
There is 4 cups in 1 quart.
Answer:
12/13
Step-by-step explanation:
The length of the segment from the origin to the terminal point is ...
r = √((-5)² +12²) = √169 = 13
The sine of the angle is the ratio of the y-coordinate to this distance
sin(θ) = y/r = 12/13
_____
Additional comment
The other trig functions are ...
cos(θ) = x/r = -5/13
tan(θ) = y/x = -12/5
This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.
This question is not correctly written
Complete Question
The Henderson Hawks minor-league baseball team is giving away baseballs an
game. The balls cost $3 each and the towels cost $2 each. The team wants to give away 200 items and have 500 to spend. How many of each item should the team give away Show your
work or explain your reasoning.
Answer:
They should give away 100 balls and 100 towels
Step-by-step explanation:
Let the number of balls = x
Let the number of towels = y
x + y = 200........ Equation 1
y = 200 - x
$3 × x + $2 × y = $5000
3x + 2y = 5000...... Equation 2
3x + 2(200 - x)= 5000
3x + 400 - 2x = 5000
Collect like terms
3x - 2x = 500 - 400
x = 100
Number of balls to be given away = 100
Note:
y = 200 - x
y = 200 - 100
y = 100
Number of towels to be given away = 100
Therefore, they should give away 100 balls and 100 towels
Answer:
input x = - 7
Step-by-step explanation:
A is modelled as y = 5x - 4
B is modelled as y = 3x + 8
We require output of A three times the output of B , then
5x - 4 = 3(3x + 8) ← distribute
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7 ← input
