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3 years ago

If a quantity increases by 25% and then decreases by 25%, will that result be the original quantity? Explain.

1 answer:

5 0

It depends if its decreasing 25% of the original quantity or decreasing by 25% of the quanity that is after already increasing by 25%.

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A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin

pochemuha

The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph. Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, $\text{ distance } =\text{ speed }\times \text{ time }$

$\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}$

We are given that, time taken for both are same. So $\frac{40}{a-11}=\frac{70}{a+11}$

$\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}$

8 0

3 years ago

Three hours ahead of ten forty in the morning

VashaNatasha [74]

It's one forty PM in the afternoon (just look at a clock)

6 0

3 years ago

Read 2 more answers

Carrie works due south of her apartment. Her friend Sarah works due east of the

Zarrin [17]

Answer:

3 miles

Step-by-step explanation:

5-1+2=3

4 0

2 years ago

A line has a slope of $-\frac{3}{7},$ and its $y$-intercept is $(0,18)$. What is its $x$-intercept?

puteri [66]

Answer:

(42, 0)

Step-by-step explanation:

Since we know the slope and y-intercept we can write the equation of the line in slope-intercept form which is y = mx + b; therefore, the equation is y = -3/7x + 18. To find the x-intercept, we just plug in y = 0 which becomes:

0 = -3/7x + 18

-18 = -3/7x

x = 42

8 0

2 years ago

Read 2 more answers

Graph the equation using the point and the slope.

Alekssandra [29.7K]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have the equation of the line in point slope form

$y-5=\frac{1}{5}(x-5)$

where

the point is (5,5)

the slope is m=1/5

Remember that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

<em>To graph the line</em>

1. Plot the point (5,5).

2. From that point, count right 5 units and up 1 unit and plot a second point.

3. Draw a line through the two points

The new point is (5+5,5+1) ----> (10,6)

Plot the points (5,5) and (10,6) and draw a line through the two points

The graph in the attached figure

3 0

2 years ago