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Gala2k [10]
1 year ago
11

The following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10

0 miles to pick up their grandparents for a family vacation, given the time (t) traveled from the grandparents’ home and driving at a rate of 45 mph. Determine how far from their home the Bensons will be after 412 hours of driving with their grandparents.
d=45t+100
Mathematics
1 answer:
Oksanka [162]1 year ago
6 0

The distance from their house the Bensons' after 412 hours will be 18, 640 miles

<h3>What is a function?</h3>

A function is an expression or rule that explains the relationship between a dependent and independent variable.

Given the function;

d= 45 t + 100

Where;

  • d is the total distance
  • t is the time taken

If t = 412 hours

Substitute into the formula

d = 45 ( 412) + 100

d = 18540 + 100

d = 18, 640 miles

Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles

Learn more about functions here:

brainly.com/question/2456547

#SPJ1

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Step-by-step explanation:

take your millimeters and concert them to centimeters at which is 10 millimeters every 1 centimeter

8 0
3 years ago
Point U has Coordinates (-5,1) and point V has coordinates (7,9) find the coordinates of the midpoint of UV
frutty [35]

The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

Midpoint of a Line Segment:

A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and  X₂, Y₂ is calculated using:

<h3>According to the given data:</h3>

Point U has Coordinates (-5,1).

point V has coordinates (7,9).

Find  coordinates of the midpoint of UV = ?

We know that to find Midpoint of a Line Segment:

                               = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

Where U

           X₁ = -5

           Y₁ = 1

Whare V

           X₂ = 7

           Y₂ = 9

Putting the value in the formula:

UV = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

       = (-5 + 7)/2 , (1 + 9)/2

       = -6 , 5

The mid point of the given  Coordinates U= (-5,1) and point V = (7,9):

= ( -6 , 5).

To know more about Midpoint of a Line Segment visit:

brainly.com/question/13792156

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4 0
1 year ago
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kherson [118]

Answer:

$25.57

Step-by-step explanation:

First, you have to multiply $5.29 by 2 because she wants to spend $5.29 on 2 pairs of socks.

5.29 * 2 = $10.58

Then you want to add $10.58 and $14.99 together.

$10.58 + $14.99 = $25.57

3 0
3 years ago
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
zhuklara [117]
Step 1:
Set Variables (We will use x & y)

x = years
y = total orangutan population

Step 2:
Set up Equations

784 - 25x = y
817 - 36x = y

Step 3:
Set equations equal to each other & solve

784 - 25x = 817 - 36x
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