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2 years ago

A motor scooter travels 20 mi in the same time that a bicycle covers 8

1 answer:

6 0

The scooter is 20 miles per hour and the bicycle is 8 miles per hour. Because twice the rate of the bicycle is sixteen miles then the scooter minus 16 is four as in the four miles per hour mentioned above, so its only one hour then we divide 20 and 8 both seperatly by one and those are your answers

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Wynn needs to find the center of the data set shown on the dot plot. The dot plot has dots. The dot plot has dots to the left of

Arisa [49]

Answer:

The dot plot has 22

dots.

The dot plot has 11

dots to the left of the

center and 11

dots to the right of the center.

The center of the data set is

between 2 and 3

Step-by-step explanation:

6 0

2 years ago

Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =

Goshia [24]

Answer:

Distance from point (0,1,1) to the given line is zero.

Step-by-step explanation:

Given parametric equations of line,

x=2t, y=5-2t, z=1+t

To find distance from (0,1,1), we have to eliminate t from above equations so that,

$y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x$

$\implies 3x+2y-2z-8=0\hfill (1)$

whose direction ratioes are (l,m,n)=(3,2,-2) and distance fro point (a,b,c)=(0,1,1) is given by,

$\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0$

Distance between point (0,1,1) and (1) is zero. That is point 90,1,1) is lies on the line (1).

8 0

2 years ago

John and Ariana bought school supplies, John spent $10.65 on 4 notebooks and 5 pens. Ariana spent $7.50 on 3 notebooks and 3 pen

timurjin [86]

Cost of 1 notebook is $ 1.85 and cost of 1 pen is $ 0.65

<h3>Solution:</h3>

Let "a" be the cost of 1 notebook

Let "b" be the cost of 1 pen

Given that John spent $10.65 on 4 notebooks and 5 pens

cost of 1 notebook x 4 + cost of 1 pen x 5 = 10.65

4a + 5b = 10.65 ------ eqn 1

Given that Ariana spent $7.50 on 3 notebooks and 3 pens

3a + 3b = 7.50 ----- eqn 2

Let us solve eqn 1 and eqn 2 to get the values of "a" and "b"

Multiply eqn 1 with 3

12a + 15b = 31.95 ---- eqn 3

Multiply eqn 2 with 4

12a + 12b = 30 ------ eqn 4

Subtract eqn 4 from eqn 3

12a + 15b = 31.95

12a + 12b = 30

(-) ---------------------

3b = 1.95

b = 0.65

Substitute b = 0.65 in eqn 1

4a + 5(0.65) = 10.65

4a = 7.4

a = 1.85

Thus cost of 1 notebook is $ 1.85 and cost of 1 pen is $ 0.65

8 0

2 years ago

A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could repre

kiruha [24]

The correct answer is:

The last graph.

Explanation:

The leaf starts at 12 feet above the ground. This eliminates the first and third graph, leaving the second and last.

The leaf falls at 0.25 ft/sec. This means it would take 4 seconds for the leaf to fall 1 foot.

On the second graph, when we go over to 4 seconds and then up, the line is at 10 feet; this means it fell 2 feet in 4 seconds. This is too fast.

On the last graph, going over to 4 seconds and then up, the line is at 11 feet; this means it fell 1 foot in 4 seconds. This is correct.

5 0

2 years ago

Read 2 more answers

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = 2/3 x – 2?

qwelly [4]

The graph would have to look like the attachment I attached to this comment. If you can't see it then the graph will go through the y-intercept of -2 and the x-intercept of 3.

Explanation: Already we can tell that the line will go through -2 as the y-intercept. So we have to take the slope and apply it to the -2. The slope is in rise over run form. We rise 2 times. And then go to the right 3 times. We can do the same but backwards. Go down 2 times. and then go left 3 times. Do it twice in both ways and you have your line.

7 0

2 years ago

Read 2 more answers