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padilas [110]
3 years ago
9

When visiting his parents, Tyler drives at an average speed of 42 km/h through urban areas and at an average speed of 105 km/h o

n the motorway. His journey usually takes him 2.5 hours. One day when there is fog, he sets off 1 hour early and only manages to drive at an average speed of 28 km/h in the urban areas and 60 km/h on the motorway. He arrives 30 minutes late. What was the total distance that Tyler travelled?
Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

  168 km

Step-by-step explanation:

Let x represent the distance Tyler drives at the slower speed, and let y represent the distance at the higher speed. Using time = distance/speed, we can write equations for the total travel time:

  x/42 +y/105 = 2.5

  x/28 +y/60 = 4.0 . . . . . 1.5 hours more than the usual 2.5 hours

Multiplying the first equation by 210, we have ...

  5x +2y = 525

Multiplying the second equation by 420, we get ...

  15x +7y = 1680

Subtracting 3 times the first of these equations from the second, we have ...

  (15x +7y) -3(5x +2y) = (1680) -3(525)

  y = 105

Putting this into the very first equation, we get ...

  x/42 + 105/105 = 2.5

  x/42 = 1.5 . . . . . . subtract 1

  x = 63 . . . . . . . . .multiply by 42.

The total distance to Tyler's parents' house is ...

  63 km + 105 km = 168 km

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I need the answer quickly
sweet [91]

Answer:

scatter plot 3

Step-by-step explanation:

No correlation exists when there is no relationship between two variables. For example there is no relationship between the x-axis to the y-axis while the other plots has noticeable linear correlation.

6 0
2 years ago
Mrs. Reid is going on a trip. She has 9 book that she hasn't ready yet, but she wants to bring only 3 on the trip.
Karo-lina-s [1.5K]
The way you work this out is by thinking about the odds of each singular event, then finding the overall odds based on the individual odds.

The number of different books Mrs. Reid can choose is 9, so the first number is 9.

Mrs. Reid has picked one book so far, so now she has (1 - 9) = 8 books to choose from.
The of different books Mrs. Reid can choose now is 8, so your second number is 8.

Mrs. Reid has picked 2 book thus far, so now there are (2 - 9) = 7 books to choose from.
The of different books Mrs. Reid can choose now is 7, so your second number is 7.

To get the total number of different choices, multiply all the singular events together:

7*8*9=504\ different\ ways\ to\ bring\ 3\ books
7 0
3 years ago
69. REAL-WORLD APPLICATIONS
svp [43]

Answer:

Cost of per session the average rate is $45.

Step-by-step explanation:

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

It is required to find what is the cost per session.

Step 1 of 1

It is given that a gym membership with two personal training session cost $125, while gym membership with five personal training sessions cost $260.

To find the cost of per session calculate the average rate.

Now let $f(x)$ be the cost per session use the for the average rate of change, and the input value is the number of personal traings x.

$m=\frac{f\left(x_{2}\right)-f\left(x_{1}\right)}{x_{2}-x_{1}}$$

Now substitute, $125 for $f\left(x_{2}\right), 260 for $f\left(x_{1}\right), 2$ for $x_{1}$ and 5 for $x_{2}$ then,

$m=\frac{260-125}{5-2}$\$$\begin{aligned}&=\frac{135}{3} \\&=45\end{aligned}$$

Cost of per session the average rate is $45.

3 0
2 years ago
Brad has two lengths of copper pipe to fit together one has a length of 2 5/12 feet and the other has a length of 3 7 12 ft how
leva [86]
To find the total length of the two copper pipes, we need to add them together.

2 5/12 + 3 7/12 = 5 12/12

Since 12/12 = 1 or a whole, we can simplify this further.

5 12/12 = 6

Hope this helps!
4 0
3 years ago
Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?​
Murrr4er [49]

Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3)        Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂)               <--- Point-slope formula

(3 - 4) = m(1 - 2)                  <--- Plug in "x" and "y" values from points

-1 = -m                                <--- Simplify inside parentheses

1 = m                                  <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3)           m = 1

y = mx + b                       <--- Slope-intercept formula

3 = 1(1) + b                       <--- Plug in values from point and slope (m)

3 = 1 + b                          <--- Multiply slope and "x" value

2 = b                               <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

7 0
2 years ago
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