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3 years ago

12

Lucy rents a bike from a store where they rent bikes for $12 plus $3 per hour. If Lucy spend $30, how many hours (h) did she ren

t a bike ?

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

6 hours

Step-by-step explanation:

30-12=18

18 divided by 3 equals 6 hours

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Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets w

butalik [34]

The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

<h3>What is the equation of the circle of radius r units, centered at (x,y) ?</h3>

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

$(x-h)^2 + (y-k)^2 = r^2$

For this case, the equation of the circle that models tha circular area considered is:

$(x-9)^2 + (y+11)^2=16$

Writing this in standard form and comparing it with the standard equation, we get:

$(x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2$ (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

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2 years ago

Why do translations produce parallel lines

pav-90 [236]

Answer:The distance between the lines stays constant, and they never intersect. In other words, you can translate (move) either line by that constant distance, in some direction, to get the other line. It's just like how when you change the y-intercept but keep the slope the same, you get parallel lines.

Step-by-step explanation:

Hope this helps ツ

7 0

3 years ago

Please tell the LCM of the following -

Arada [10]

Answer:

Below.

Step-by-step explanation:

I won't do all of these for you but I'll show you the general method.

First write each number as prime factors.

For example number 7:

LCM of 24 and 34.

24 = 2 * 2 * 2 * 3

34 = 2 * 17

The LCM is the multiple of all these factors EXCEPT if there is a duplicate number you only use it once.

There is one duplicate here - the 2 ( in bold) so we only use this once.

So the LCM = 2 * 2 * 2 * 3 * 17 = 408.

Number 1:

13, 25

13 = 13

25 = 5 * 5

There are no duplicates so the LCM = 13 * 5 * 5 = 325.

Number 18:

15, 84

15 = 3 * 5

84 = 2 * 2 * 3 * 7

Number 3 is common to both sets so it is only used once:

LCM = 2 * 2 * 3 * 5 * 7 = 420.

Number 40:

18, 48

18 = 2 * 3 * 3

48 = 2 * 2 * 2 * 2 * 3

There are 2 sets of duplicates here, 2 and 3 .

LCM = 2 * 2 * 2* 2 * 3 * 3 = 144.

4 0

3 years ago

Read 2 more answers

What fractions are equivalent to 1.27 repeated

kramer

<span>Let x equal your repeating decimal. Call this equation x = 1.273
</span><span>Multiply both sides of your previous expressions by 100. Call this equation 100x = 127.273
</span><span>Subtract 1 from both sides of the equation to get 99x = 126.
</span><span>Divide both sides of the equation by 99 to get 126/99.
</span><span>126/99 reduced is to its lowest terms is 1 and 3/11.
</span>

3 0

3 years ago

Which graph represents the solution to this inequality?<br> 16x - 80x < 37 + 27 DS<br> (2 points)

Naddika [18.5K]

Graph 2 graph b is the answer

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3 years ago