1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
3 years ago
12

carlos walks 4 miles every night for exercise it takes him exactly 64 minutes to finish his walk Assuming he walks at a constant

rate write an equation that represents how many miles y carlos can walk in x minutes
Mathematics
1 answer:
TEA [102]3 years ago
6 0
Ok, so if he walks 4 miles per 64 minutes, or 4 miles/64 min which will reduce to 1 mile/ 16 min,  then the numbers of miles he walks in a given number of minutes would be

1/16 * number of minutes

The question states we represent miles with y and number of minutes with x, so...

y = 1/16x

So let's check it...

How many miles (y) in 64 minutes (x)

y = 1/16x
y = 1/16 * 64
y = 64/16 = 4 miles 

Yep! It checks!
You might be interested in
A worker at a mill is loading 5-lb bags of flour into boxes to deliver to a local warehouse. Each box holds 8 bags of flour. If
Kitty [74]
10 bags of flour on fulfill
5 0
3 years ago
Write an equation of the line with slope -2 and passing through (3,1) in slope-intercept form
Vinvika [58]

Answer:

y=-2x+7

Step-by-step explanation:

Hi there!

The form of slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

We are given the slope (-2) and a point (3,1)

We can immediately substitute -2 as the slope in the equation

y=-2x+b

Now we need to find b

Because the line will pass through the point (3,1), we can use it to solve for b

Substitute 3 as x and 1 as y

1=-2(3)+b

multiply

1=-6+b

add 6 to both sides to isolate b

7=b

Substitute 7 as b into the equation

The line is <u>y=-2x+7</u>

Hope this helps!

8 0
3 years ago
A red ant travels 9/8 inches in 3/4 minutes and 3 3/8 inches in 2 1/4 minutes what is the ants speed in inches per minute? What
I am Lyosha [343]

Answer:

1. 1.5 inches per minute

2. 90 inches per hour

Step-by-step explanation:

speed = \frac{distance}{time}

1. total distance covered = \frac{9}{8} + \frac{27}{8}

                                      = \frac{9+27}{8}

                                      = \frac{36}{8}

                                      = 4\frac{1}{2} inches

Total time taken = \frac{3}{4} + \frac{9}{4}

                           = \frac{3 +9}{4}

                           = \frac{12}{4}

                           = 3 minutes

The ants average speed = \frac{4.5}{3}

                                         = 1\frac{1}{2}

                                         = 1.5

The ants speed is 1\frac{1}{2} inches per minute.

2. Since;

60 minutes = 1 hour

3 minutes = x hours

x = \frac{3}{60}

  = \frac{1}{60}

  = 0.05 hours

Speed = \frac{4.5}{0.05}

           = 90 inches per hour

The red ants speed is 90 inches per hour.

3 0
3 years ago
A baby is weighed on a defective scale. He weighed 13 pounds. The baby weighs exactly 10 pounds. What is the percent error?
Eva8 [605]

Answer:

30%

Step-by-step explanation:

The answer is off by 30%, as the scale is off by 3 pounds. 3/10=30

4 0
3 years ago
When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept f
Pani-rosa [81]
Point slope form is used when we have the information of at least two coordinates that lie on the line

For example:

Given that coordinate (3, 4) and (6, 7) lies on a straight line. 

We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).

We would need to use both coordinates to work out the gradient (m) by using the formula:
m= \frac{vertical distance}{horizontal distance} = \frac{y_2-y_1}{x_2-x_1}
----------------------------------------------------------------------------------------------------------------

The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept. 

For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.
3 0
3 years ago
Other questions:
  • 17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
    14·2 answers
  • Find the slope and y intercept of the graph of the graph of each equation.
    12·2 answers
  • Either use technology to find the P-value or use
    11·1 answer
  • WHAT IS THE SOLUTION TO -3X+10=3X-8
    13·1 answer
  • A square is removed from the right hand corner
    13·2 answers
  • The probability that a traffic light will be green is 40%. If you pass through 3 lights on your way to the store, what is the pr
    5·1 answer
  • What do you need to do to solve the problem? x/5 = 8 helppppppppppppp
    6·2 answers
  • Mother spent 1/3 of her money on a silver chain and 1/6 of the remainder on a bottle of perfume. She gave her daughter $60.00 an
    8·1 answer
  • 2. Tyler can type 50 words per minute. He needs to finish typing his 500-word
    7·1 answer
  • Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!