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Bess [88]
2 years ago
8

Matthew's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distanc

e on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

3/8 of the total distance.

Step-by-step explanation:

After Saturday = 8/8 - 3/8 = 5/8 of distance left.

Sunday = 5/8 x 3/5 = 3/8 distance.

Hope this helps!

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Find the equation of the line between the points (10, – 5) and ( - 2,0).
Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{12} x-\frac{5}{6}  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}

Thus, the slope of the line is -\frac{5}{12}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{12} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}

3 0
2 years ago
A car travels the 120 miles from A to B at 60 miles per hour, and then returns to A on the same road. If the average rate of the
inessss [21]

Outbound Trip 120 miles 60 mph equals 2 hours

Return Trip 120 miles

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Total time = distance / rate = 240 / 45 = 5.3333333333 Hours

The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)

Return Trip Speed = 120 / 3.333333333 = 36 miles per hour


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