Jeff hikes 1/2 mile every 15 minutes,or 1/4 hour.Lisa hikes 1/3 miles every 10 minutes, or 1/6 hour.How far do they each hike in 1 hour ?2 hour?

Answers

Answer 1
Answer:

Answer: They hike 30 miles and 20 miles in 1 hour respectively and they hike 60 miles and 40 miles in 2 hours respectively.

Step-by-step explanation:

Since we have given that

Number of mile Jeff hikes in every 15 minutes = (1)/(2)

As we know that

1 hour = 60 minutes

So, number of mile Jeff hikes in every 1 hour = (1)/(2)* 60=30\ miles

number of miles Jeff hikes in every 2 hours = 30* 2=60\ miles

Number of miles Lisa hikes in every 10 minutes = (1)/(3)

Number of miles Lisa hikes in every 1 hour = (1)/(3)* 60=20\ miles

Number of miles Lisa hikes in every 2 hours = 20* 2=40\ miles

Hence, they hike 30 miles and 20 miles in 1 hour respectively and they hike 60 miles and 40 miles in 2 hours respectively.

Answer 2
Answer: jeff hikes 1 mile every 30 min so in one hour he hiked 2 miles and in 2 hours he hiked 4 miles. im sorry but im not sure about lisa

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Answers

Answer:

12. Hope this helps!!!

Step-by-step explanation:

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its radius is:

Answers

Hey there :)

The equation of a circle is:
( x - h )² + ( y - k )² = radius²

Therefore, in this example,
( x + 4 )² + ( y - 6 )² = 25
25 = radius²
√(radius^2) = √(25)
radius = 5

Final answer:

The equation you provided is a standard form equation for a circle. By comparing it to the general circle equation and taking square root of the constant on the right side, we find that the radius of the circle is 5.

Explanation:

The equation of a circle is typically given in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

  • Looking at your given equation: (x + 4)² + (y - 6)² = 25, we can see that this fits the general form.
  • The radius r is given by the square root of the number on the right side of the equation. In this case, it equals to √25 which is 5.

Therefore, the radius of the circle is 5.

Learn more about Radius of Circle here:

brainly.com/question/31831831

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a certain hose delivers 5 gallons of water in 24 seconds, how much water will the hose deliver in 10 minutes

Answers

The hose delivers 5 gallons of water in 24 seconds,
we know that 
1 min=60 seconds
10 min= 600 seconds

5 gallons of water.......................24 seconds
? gallons in ................................600 seconds

let x be the number of gallons of water we need to find out, and we use proportions
x=(5*600)/24=125 gallons 


Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.
Plan B: Put the $1,000 in an account that pays 5 percent interest per year.

Which statement is true?
Plan A will be worth more than plan B after two years.
Plan A will be worth the same amount as plan B after one year.
Plan B will be worth more than plan A after three years.
Plan B will be worth more than plan A after four years.

Answers

First let's calculation
Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)
Plab B = 1000 dollars to be invested in an account that pays 5% interests per year  (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)
Thus the correct answer is Plan A will be worth more than plan B after two years.

The true statement is Plan A will be worth more than plan B after two years.

What is the worth of the plans with the passage of time?

The equation that can be used to represent the future value of plan A:

Total value = initial value x ($100 x number of years)

Value in 2 years: 1000 x (100 x 2) = $1200

Value in 3 years: 1000 x (100 x 3) = $1300

Value in 4 years: 1000 x (100 x 4) = $1400

The equation that can be used to represent the future value of plan B:

FV = P (1 + r)^n

  • FV = Future value
  • P = Present value
  • R = interest rate
  • N = number of years

  • Value in 2 years: 1000 x(1.05^2) = $1102.50
  • Value in 3 years: 1000 x(1.05^3) = 1157.63
  • Value in 4 years: 1000 x(1.05^2) = 1215.51

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what is the equation of y=x^3 with the transformation: vertical compression by a factor of 1/2, horizontal shift 7 units to the left, reflection across the x-axis?

Answers

Assuming the transformations are in order,
because S(x,y) = (x, 1/2y), reverse what is done to y and simplify,
y = x^3 > y = 1/2*x^3 to compress vertically,
because S(x,y) = (x-7,y), reverse what is done to x,
y = 1/2*(x+7)^3 to shift to the left,
reflection across the x-axis changes positives to negatives,
y = -1/2(x+7)^3 to reflect across the x-axis.

3 equivalent ratio for 7/8

Answers

14/16 (multiplied by 2)
70/80 (multiplied by 10)
21/24 (multiplied by 3)

If allelse fails andyou can't think of any, just multiply both numbers by 10's