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swat32
3 years ago
15

Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how lo

ng it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take. Include a table or diagram to support your answer
Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0
So it takes him 3 hours to reach a distance of 195 miles. Divide that by 3 and we get 65 miles per hour. So we get the equation of 65h=195+455.
So 195+455= 650. H will be hours. So now we have 65h=650. Now divide 65 from 650 and we get 10=h So we need to find out how many more hours he has left. So it takes him 3 hours to reach 195 so if 10 hours=650 miles then, 10-3 hours=650-195 and we get 7 hours=455 miles.
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Answer:

<h3>t = 15d</h3>

Step-by-step explanation:

You must first know that 1 week = 7days

If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;

105 minutes = 7days

to calculate the total time t that she practices for any number of days, d, we will say;

t minutes = d days.

Solving both expression;

105 minutes = 7days

t minutes = d days.

Cross multiply;

7 * t = 105 * d

7t = 105d

Divide both sides by 7;

7t/7 = 105d/7

t = 15d

Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d

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3 years ago
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Nana76 [90]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

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The equation of the given line is

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y = -x/2 + 4/2

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Comparing with the slope intercept form, slope = - 1/2

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.

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To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes

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Answer:

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7 0
2 years ago
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chubhunter [2.5K]
X=cubic root 2/27
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3 years ago
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vekshin1

Answer:

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