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-BARSIC- [3]
2 years ago
8

The number of hours needed to complete a trip, h, varies inversely with the driving speed, s. A trip can be completed in 5 hours

at a speed of 60 miles per hour. Find the equation that represents this relationship. (this is 'Solve inverse variation problems')
Mathematics
1 answer:
makkiz [27]2 years ago
4 0

Answer:

h = 300/s

Step-by-step explanation:

h and s vary inversely:

h = k/s

When s = 60, h = 5:

5 = k/60

k = 300

h = 300/s

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Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages
arsen [322]

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

3 0
2 years ago
The standard kilogram (fig. 1.1a) is a platinum–iridium cylinder 39.0 mm in height and 39.0 mm in diameter. what is the density
ra1l [238]
The volume of a cylinder is calculated as pi*h*d^2/4, so in this case, V = pi*(39 mm)(39 mm)^2 / 4 = 46,589 mm^3. Dividing the mass of 1 kg by the volume of 46,589 mm^3 gives a value of 2.1464 x 10^-5 kg/mm^3. Usually, density values are given in kg/m^3, so we can convert by multiplying by 1x10^9, which gives a value of 21,464 kg/m^3.
6 0
2 years ago
Find all the zeros of the equation 12x^2-64=-x^4
Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we  have given that

12x^2-64=-x^4\\\\x^4+12x^2-64=0

We need to find the zeroes of the above equation.

So, we will use  "Split the middle terms" :

x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

7 0
2 years ago
Whitney rolls a ball down a ramp that is 18 feet long if the ball rolls down 2 feet each second what integer represents the amou
Afina-wow [57]

Integer generally means number.

if s = seconds then

2s = 18

solve for s,

18/2 = 7

s = 7 seconds

8 0
2 years ago
Read 2 more answers
A graph has minutes on the x-axis and ounces of popcorn on the y-axis. A curve goes through points (0, 0), (50, 12), and (110, 1
butalik [34]

Answer:

No :)

Step-by-step explanation:

the graph does not make a straight line. :)

5 0
2 years ago
Read 2 more answers
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