All categories

3 years ago

Eight times the reciprocal of a number equals 4 times the reciprocal of 10.

Mathematics

1 answer:

saveliy_v [14]3 years ago

8 0

Answer:

8(1/x) = 4(1/10)

Step-by-step explanation:

lets say the number is x

eight times the reciprocal of a number equals 4 times the reciprocal of 10

8 * 1//x = 4 * 1/10

8/x = 4/10 , cross multiply

4x =8*10, divide both sides by 4

x= 80/4

x= 20

You might be interested in

Solve the system of equations. y= x+ 2

WITCHER [35]

A is the answer...............

3 0

4 years ago

PLEASE HELP!! A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at

slega [8]

Answer:

0 ≤ t ≤ 25
16.348 seconds
310.0 meters

Step-by-step explanation:

a) Since these are production vehicles, we don't expect their top speed to be more than about 70 m/s, so the distance functions probably lose their validity after t = 25. Of course, t < 0 has no meaning in this case, so the suitable domain is about ...

0 ≤ t ≤ 25

Note that the domain for the second car would be 3 ≤ t ≤ 25.

b) The graph of this system shows the cars will both have driven the same distance after 16.348 seconds.

c) At that time, the cars will have driven 310.0 meters.

_____

<em>Non-graphical solution</em>

If you like, you can solve the equation for t:

d1 = d2

1.16t^2 = 1.74(t -3)^2

0 = 0.58t^2 -10.44t +15.66

t = (10.44 +√(10.44^2 -4(0.58)(15.66)))/(2(0.58)) = (10.44+8.524)/1.16

t = 16.348 . . . . time in seconds the cars are at the same distance

That distance is found using either equation for distance:

1.16t^2 = 1.16(16.348^2) = 310.036 . . . meters

6 0

4 years ago

How do you explain this function?

Zanzabum

Hello from MrBillDoesMath!

Answer:

For 0 <= x < =40 the function is that of the straight line 15x which has slope 15. Note that at x = 40 the value of the function is 15(4) =600

For x > 40 , the function is another straight line but with slope 20. This line is steeper than the 15x line but for x near, but slightly greater than 40, the value is close to 600 + 20 (40-40) or 600 + 20(40-40) = 600. This is the same value as the first line, 15x, at x = 40.

In summary, the graph of p(x), from 0 <= x <=40, is a line of slope 15 and for x>40 is a line of slope 20. p(x) has a removable discontinuity at x = 40 because p(x) approaches 600 as x approaches 40, regardless of the method of approach (i.e. whether x approaches 40 from values less than 40 or from values greater than 40)

Thank you,

MrB

4 0

3 years ago

5-3y=9 <br> Solve for x<br> I don’t get it helllp

Grace [21]

Answer:

-4/3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

5 0

4 years ago

Read 2 more answers

At the beginning of a snowstorm, Sydney had 11 inches of snow on her lawn. The

kondor19780726 [428]

Answer:

12.5in.

x=.5t+11

Step-by-step explanation:

First of all, create the equation so you can solve both questions at once. We know that Sydney had eleven inches of snow on her lawn, and it doesn't dissapear, so it starts with x=11. Then every hour she gets .5 inches per hour, and the amount of hours is t, so that will translate to .5t. that makes the equation x=.5t+11. To find out how much she would have in three hours, substitute 3 for t, which which goes like this: x=.5(3)+11

x=1.5+11

x=12.5

3 0

3 years ago

Read 2 more answers