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Lemur [1.5K]
3 years ago
5

Mrs. Trotta drives a total of 378 miles over 6 days. She drives the same amount of miles each day. How many miles does Mrs. Trot

ta drive each day?
Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

63 miles per day

Step-by-step explanation:

The miles she drove: 378

Number of days: 6

Solve:

378/6= 63

Check your math:

63*6=378

Hope this helps!

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What is the value of x? Enter your answer in the box. x = °
Elodia [21]
Answer: 90°
Explanation: the sum of all the angles in a triangle = 180. So 70 + 30 = 90 and 180-90=90
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3 years ago
A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
3 years ago
A line that includes the point 4, 6 has a slope of 3. what is its equation in slope intercept form
V125BC [204]
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aleksklad [387]
One-fourth + one-sixth + one-third

<span>three plus two plus four /12 = 9/12 = 3/4 </span>

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Hope this helps!! Pleaseeee,         Hit that Thanks button ;D</span>
7 0
3 years ago
What is the slope of the the line shown below?​
ollegr [7]

Answer:

The answer is A. -2/7

Step-by-step explanation:

5 0
3 years ago
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