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Triss [41]
3 years ago
11

Stacy rowed across the lake with her friend Rainey (in the same boat) at a rate of 3 mph. Rainey then rowed back at a rate of 2

mph. If the lake is 6 miles across, how long did it take them to complete their trip?
Mathematics
2 answers:
Pie3 years ago
6 0
Velocity in the direction of crossing the river = 3mph
Velocity in the backward direction = 2mph

Net velocity in forward direction = (3-2)= 1mph

Distance = 6 miles

t = ?

Velocity = Displacement/Time
1 = 6/t
t = 1/6 hr
t = (1/6)×60 min

time = 10 minutes
Hope this helps you!
Debora [2.8K]3 years ago
4 0
Multiply then divide
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The width of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in.?
sergejj [24]

Answer:

Width is 10 1/2 inches and the length = 21 inches.

Step-by-step explanation:

Let the width be x then the length us 2x inches.

Perimeter = 2x + 2(2x) = 63

6x = 63

x = 10 1/2 inches.

5 0
3 years ago
Help please if anyone knows
larisa86 [58]
<u>Part A
</u>
<u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, \frac{3}{5} and \frac{2}{3} equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

<u>Part B
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<u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

1 \frac{3}{5} \\ \\  (5*1)+3 =8 \\  \\  \frac{8}{5}  \\  \\  \\ \\  1 \frac{2}{3} \\  \\ (3*1)+2=5 \\  \\  \frac{5}{3}  &#10;

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

\frac{8}{5} *3 =   \frac{24}{15} \\  \\  \frac{5}{3} *5 =  \frac{25}{15}

Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

\frac{49}{15} \\  \\ 49 / 15 = 3(Remainder: 4) \\  \\  3\frac{4}{15}

Using that logic, we can see that the painter needs exactly 3 \frac{4}{15} gallons of paint.    
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3 years ago
Math question down below
Gemiola [76]
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KATRIN_1 [288]
I think the answer is 81
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