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:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Answer:
A. Area of ABCD = 240 
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240 
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
=
+ 
=
+ 
= 676
BD = 
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm
Answer:
8
Step-by-step explanation:
56 ÷ 7 = 8