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sergeinik [125]

2 years ago

7

Aaron is bicycling on a bike trail at an average of 10 miles per hour. Jada starts cycling on the same trail 30 minutes later. I

f Jada averages 16 miles per hour, how long would it take her to pass Aaron? (Please show work)

1 answer:

shepuryov [24]2 years ago

7 0

Answer:

36 miles per hour

Step-by-step explanation:

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21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

7 0

2 years ago

Simplify the expression to a + bi form:<br> (9+7i)(6 + i)

Scorpion4ik [409]

$(9 + 7i)(6 + i) \\ = 54 + 9i + 42i + 7 {i}^{2} \\ = 54 + 51i - 7 \\ = 47 + 51i$

I hope I helped you^_^

6 0

2 years ago

Read 2 more answers

PLEASE HELP ME WITH THIS

SSSSS [86.1K]

Answer:

1

Step-by-step explanation:

angles on a straight line are 180 so u do 180 minus 47 gives u 133

5 0

2 years ago

PLZ help picture included

cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

$s=\frac{d}{t}$

The distance is equal to multiply the speed by the time

$d=st$

we know that

$18\ min=\frac{18}{60}\ hours$

The distance to his friend's house and the distance of return is the same

so

$10x=4(x+\frac{18}{60})$

solve for x

$10x=4x+\frac{18}{15}$

subtract 4x both sides

$10x-4x=\frac{18}{15}$

$6x=\frac{18}{15}$

$x=\frac{1}{5}\ hours$

The total distance of the round trip is

$y=10x+4x+\frac{18}{15}$

substitute the value of x

$y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}$

$y=2+2=4\ miles$

6 0

2 years ago

1296 ÷ 48 help me please

Elan Coil [88]

The answer in 27 $$$$$$$$$$$$$$$$$$$$$$$$

7 0

2 years ago

Read 2 more answers