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Liula [17]
3 years ago
8

A tour boat left the dock and traveled west at an average speed of 10 mph. A smaller fishing boat left some time later traveling

in the same direction but at an average speed of 12 mph. After traveling for 10 hours, the fishing boat caught up to the tour boat. The tour boat left _______ hours earlier than the fishing boat.
A. 2
B. 11
C. 10
D. 18
Mathematics
2 answers:
natta225 [31]3 years ago
8 0

Answer:

avagorman20 you are really close but the actual answer is A. 2

Bc  so first of all if we check all the numbers that are given to us we could see that the first boat goes 10 mph sometime later the 12 mph boat goes off and travels for 10 hours then catches up to the other boat.

Im not a pro at equations but I do know how to do some mental math:

12 x 10 = 120 (second boat) that means that the first boat 10 x 10= 100 drove out 2 hours earlier 10 mph + 2 hours = 12mph, and that is how much the other boat is going... kinda confusing but idk how to explain in other ways  

valina [46]3 years ago
6 0

Answer:

The answer is D.

Step-by-step explanation:

Time = Distance / Speed

Distance = 12 *10 =120

Time = 120 / 12

Time = 10

Please correct if me if I'm wrong

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3 years ago
Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)
alex41 [277]

Answer:

\large \boxed{y =  -  \frac{1}{9} x -  \frac{5}{9} }

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

\large{m =  \frac{1 - ( - 2)}{ -14 - 13} } \\  \large{m =  \frac{1 + 2}{ - 27} } \\  \large{m =  \frac{3}{ - 27}  =  -  \frac{1}{9} }

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

\large \boxed{y = mx + b}

We already know m-value as we substitute it.

\large{y =  -  \frac{1}{9} x  + b}

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

\large{y = -  \frac{1}{9} x + b} \\  \large{ - 2 =  -  \frac{1}{9} (13) + b} \\  \large{ - 2 =  -  \frac{13}{9}  + b} \\  \large{ - 2 +  \frac{13}{9}  = b} \\  \large{ -  \frac{5}{9}  = b}

Finally, we know b-value. Then we substitute it in our equation.

\large{y =  -  \frac{1}{9} x + b} \\  \large{y =  -  \frac{1}{9} x -  \frac{5}{9} }

4 0
3 years ago
Sam works 1/5 hour at the register of a store. He works 2/3 hour in the back stock room and 1/2 hour helping customers. How many
AleksandrR [38]

Answer:

Sam worked  \frac{41}{30}  hours that day (fractional answer)

Step-by-step explanation:

The total number of hours Sam worked is the sum of all the three hours given.

Let's add the first 2 using LCM and then add that result with the last.

Firstly:

\frac{1}{5}+\frac{2}{3}\\=\frac{1(3)+2(5)}{15}\\=\frac{13}{15}

Now,

\frac{13}{15}+\frac{1}{2}\\=\frac{13(2)+1(15)}{30}\\=\frac{41}{30}

The hours worked by Sam is 41/30 hours (fractional answer).

7 0
3 years ago
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