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egoroff_w [7]
3 years ago
9

To encourage public transportation, Russom wants to give some friends envelopes with bus tickets and subway tickets in them. If

he has 18 bus tickets and 12 subway tickets to split equally among the envelopes, and wants no tickets left over, what is the greatest number of envelopes Russom can make?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
To answer the question, you will want to find the biggest way to divide both 18 and 12.

This is called the greatest common factor.

You can list all the factors(ways to divide) of each number and find the biggest one.

12 - 1, 2, 3, 4, 6, 12
18 - 1, 2, 3, 6, 9, 18

The greatest they share is 6.

Russom can make 6 envelopes.
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Translate the phrase "in 3 years" into algebraic terms
Semenov [28]

Answer:

In three years can be into algebraic terms as:  3 + x. Where 'x' comes to be today's age.

For example, my age in three years will be:

If I'm 24 years right now, My age in three years = 3 + x ⇒ My age in three years = 3 + 24 = 27.

3 0
3 years ago
The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa
SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0
3 years ago
What’s the answer to this algebraic expression? The distance Darren ran plus 4 more miles
leva [86]

Let x represent the distance Darren ran.

The distance Darren ran: d

The distance Darren ran plus 4 more miles: d + 4

Answer: d + 4

4 0
3 years ago
Is -0.025 greater or less than -0.14?
AlekseyPX

Answer:

less than

Step-by-step explanation:

-0.025 is further away from -0.14 in the number line.

8 0
3 years ago
A motion sensor has a range of 65 meters as shown. The ultrasonic waves sweeping out from the sensor span an angle of 135°.
VMariaS [17]

The approximate area that is within range of the motion sensor is 4975 square meters

<h3>How to determine the area of the range?</h3>

The figure is not given, however the area of the range can be calculated without the figure.

The given parameters are:

Angle, ⊕ = 135°

Radius, r = 65 meters

The area of the range is calculated using the following sector area

A = \frac{\theta}{360} * \pi r^2

This gives

A = \frac{135}{360} * 3.14 *  65^2

Evaluate

A = 4974.9375

Approximate

A = 4975

Hence, the approximate area that is within range of the motion sensor is 4975 square meters

Read more about sector areas at:

brainly.com/question/16736105

#SPJ1

4 0
2 years ago
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