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3 years ago

What is the value of x in the equation x - y = 30, when y = 15? O4 O 8 O 80 O 200

Mathematics

1 answer:

olganol [36]3 years ago

6 0

$\frac{1}{5}x - \frac{2}{3} y = 30 \\$

Putting the value of Y = 15

$\frac{1}{5} x - \frac{2}{3} \times 15 = 30 \\ \frac{1}{5} x = 30 + 10 \\ \frac{1}{5} x = 40 \\ x = 5 \times 40 \\ x = 200$

So, X = 200

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Help!

Thepotemich [5.8K]

Answer:

The median is 10 and the mean is 10.2

Step-by-step explanation:

Median: the middle number -> 6,8,10,11,16

Mean:

6 + 8 + 10 + 11 + 16 = 51

51/5 = 10.2

3 0

3 years ago

Amy has 1/2 hour to do 3 chores. She plans to spend the same fraction of an hour on each chore. She wants to use the number line

Natali5045456 [20]

Point A would be zero; Point B, the end of the 1/2-hour time interval, would be 1/2 (representing 1/2 hour). Then Amy needs to subdivide the interval A to B into three equal time intervals and to determine the length of each of these subintervals.

I would begin with 1/2 and divide that by 3:

1
--
2
====
3
--
1

Inverting the fraction in the denom. and multiplying, we get

1 1 1
-- * ---- = -----
2 3 6

So Amy will spend 1/6 th of an hour, or 10 minutes, on each chore.

Note that 3 times 1/6 comes out to 1/2 (hour), which is were we started.

5 0

3 years ago

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear f

Cloud [144]

Answer:

C. Domain: All real numbers greater than or equal to 0 and less than or equal to 50. Range: All real numbers greater than or equal to 0 and less than or equal to 100

Step-by-step explanation:

Refer to attached

Continuation of the question:

Which answer choice best describes the domain and range of the function for this situation?

Domain: All real numbers greater than or equal to 0 and less than or equal to 100
Range: All real numbers greater than or equal to 0 and less than or equal to 50

Domain: (-2)
Range: (100)

Domain: All real numbers greater than or equal to 0 and less than or equal to 50
Range: All real numbers greater than or equal to 0 and less than or equal to 100

Domain: (100)
Range: (-2)

------------

As per the graph, the domain is x-values in the interval [0, 50] minutes and the range is y-values in the interval [0, 100] percentage.

Correct answer choice is therefore:

Option C

The rest are all incorrect

6 0

4 years ago

The radius of a right circular cylinder is increasing at the rate of 3 ft/sec, while the height is decreasing at the rate of 6 f

goblinko [34]

Answer:

$\frac{dV}{dt}=-450\pi ft^3/sec$

Step-by-step explanation:

Let's assume

radius of cylinder as 'r'

height of cylinder as 'h'

so, we have

$\frac{dr}{dt} =3ft/sec$

$\frac{dh}{dt} =-6ft/sec$

r=15ft

h=10ft

now, we can use volume of cylinder formula

$V=\pi r^2h$

we can find derivative with respect to t

$\frac{dV}{dt}=2\pi r h\times\frac{dr}{dt} +\pi r^2\times \frac{dh}{dt}$

now, we can plug values

$\frac{dV}{dt}=2\pi (15)(10)\times3 +\pi (15)^2\times -6$

now, we can simplify it

$\frac{dV}{dt}=-450\pi ft^3/sec$

6 0

3 years ago

Which of the following is the fourth step in copying an angle? Draw a ray through the new vertex and the intersection point of t

Temka [501]

1. You are given an angle.
2. Draw a ray with one endpoint. This endpoint will be the vertex of the new angle.
3. Place the compass on the vertex of the given angle and swing an arc that intersects both rays of the given angle.
4. Place the compass on the vertex of the new angle and swing an arc similar to the first one you created.
5. Open the compass to the width of the intersection points of the rays and arc of the given angle.
6. Place the compass on the intersection point of the ray and arc of the new angle and swing another arc that intersects the first.
7. Draw a ray through the new vertex and the intersection point of the two rays.
8. This second ray creates an angle that is congruent to the given one.

4 0

4 years ago

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