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Ages of Dan and Cary are 29 and 33 respectively.
<u>Step-by-step explanation:</u>
Step 1:
Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.
In 7 years, sum of their ages = 76
⇒ (x + 7) + (x + 4 + 7) = 76
⇒ 2x + 18 = 76
⇒ 2x = 58
⇒ x = 29
Step 2:
Calculate age of Cary.
⇒ x + 4 = 33
The equation of the line in point-slope form is equal to
The equation of the line in standard form is equal to
step 1
Find the slope m
Let
step 2
convert to standard form
Slope: 3, y-intercept: 4, equation: y = 3x + 4
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
