Answer:
He sold 100 rackets for $ 20
Step-by-step explanation:
To start, we have to make 2 equations, one that represents the number of rackets and the other the money
x + y = 500
x * 20 + y * 45 = 20000
we clear x in the first equation
x + y = 500
x = 500 - y
we replace x in the second equation with (500 - y)
x * 20 + y * 45 = 20000
(500 - y) * 20 + y * 45 = 20000
10000 - 20y + 45y = 20000
-20y + 45y = 20000 - 10000
25y = 10000
y = 10000/25
y = 400
we replace x in the first equation with the value obtained
x = 500 - y
x = 500 - 400
x = 100
He sold 100 rackets for $ 20
No because the 3 is the tens place. So its supposed to 3 ten blocks
36 = 1/2 (AE - 26)
72 = AE - 26
98 = AE
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
Answer:
the length of the hypotenuse must be 10.
Step-by-step explanation:
This is a right triangle, so we can apply the Pythagorean Theorem.
6² + 8² = 10² so the length of the hypotenuse must be 10.