Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
Answer:
Gym A is growing faster
Gym A gained 13 members between months 2 and 4
Gym B gained 10 members between months 2 and 4
Step-by-step explanation:
Gym A: (2,20) (4,46)
rate of change = (46-20)/(4-2) = 26/2 or 13
Gym B: (2,40) (4,60)
rate of change = (60-40)/(4-2) = 20/2 or 10
3.5m + 2.5 = 79.5 is the equation that could be used to determine m, the number of miles in the taxi ride.
Given in question,
Pick-up fee = $2.50
Fee per mile = $3.50
Total fare = $79.50
Let the no. of miles = m
Fee for m miles = 3.50m
Equation, 3.50m + 2.50 = 79.50.
Hence, the equation is 3.50m + 2.50 = 79.50.
To learn more about equation here:
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I think they’re perpendicular lines
Answer:
To find the distance between two points, use the distance formula.
It will be the square root of (x2-x1)squared + (y2-y1)squared.
Use (3,-4) as x1, y1. Use (5,1) as x2, y2.
We get the square root of (5-3)squared + (1- -4)squared.
That gives us the square root of 2 squared + 5 squared.
Now we have the square root of 4 + 25, = the square root of 29.
That is the distance between the two points
Step-by-step explanation:
