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3 years ago

Find Z for the following proportion

Mathematics

2 answers:

krek1111 [17]3 years ago

7 0

This is the simplest proportion i have seen.
This is how we do it:
$\frac{z}{7}$ = $\frac{1}{7}$
The answer surprisingly is obvious, z = 1
But we can still do cross multiplication

7z = 7
Divide by 7 to isolate z

$\frac{7z}{7} = \frac{7}{7}$
7 and 7 cancels out
z = 1

Andrei [34K]3 years ago

4 0

Please see the pic, I'd solved in it.

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WHAT IS THE ANSWER FOR 12 1/3 + 8 3/4 +17 2/8 +23 2/3=

gulaghasi [49]

$12 \dfrac{1}{3} + 8 \dfrac{3}{4} +17 \dfrac{2}{8} +23 \dfrac{2}{3}$

Simplify
$= 12 \dfrac{1}{3} + 8 \dfrac{3}{4} +17 \dfrac{1}{4} +23 \dfrac{2}{3}$

Change the denominators to be the same
$= 12 \dfrac{1 \times 4}{3 \times 4} + 8 \dfrac{3 \times 3}{4 \times 3} +17 \dfrac{1 \times 3 }{4 \times 3} +23 \dfrac{2 \times 4}{3 \times 4}$

$= 12 \dfrac{4}{12} + 8 \dfrac{9}{12} +17 \dfrac{3 }{12} +23 \dfrac{8}{12}$

Combine into single fraction
$= 60 \dfrac{24}{12}$

$= 62$

6 0

3 years ago

A sphere rolls up an inclined plane of inclination angle 30 degree. At the bottom of the incline the center of mass of the spher

Zigmanuir [339]

Answer: The sphere is 0.002548 cm travel up the plane.

Step-by-step explanation:

Since we have given that

Inclination angle = 30°

Translational speed = 0.25 m/s

As we know that

$KE=0.5\times lw^2=PE$

and

Length of solid sphere is given by

$l=\dfrac{2Mr^2}{5}$

So, it becomes,

$KE=0.5\times \dfrac{2Mr^2}{5}w^2=Mgd\sin \theta$

And $0.25\ m/sv=rw$

So, it becomes,

$1\times (0.25)^2=5\times d\times 9.81\times \sin 30^\circ\\\\0.0625=49.05d\times \dfrac{1}{2}\\\\\dfrac{0.125}{49.05}=d\\\\d=0.002548$

Hence, the sphere is 0.002548 cm travel up the plane.

5 0

3 years ago

4(x-1) + (x+2) + 3(x+1)

dusya [7]

Answer:

8x+1

Step-by-step explanation:

4(x-1) + (x+2) + 3(x+1)

4x-4 + x+2 + 3x+3

combine all x

4x+x+3x= 8x

combine all numbers without variables

(-4) + 2+3=1

8x+1

8 0

3 years ago

A fishing hook is at an elevation of −12 m relative to sea level. Half an hour later, the fishing hook's elevation increases by

yulyashka [42]

Answer:

$-12m + 12m =0$

Step-by-step explanation:

Given

$Initial\ Position = -12m$

$Rise = 12m$

Required

Represent as an equation

The new position of the hook is calculated by:

$New\ Position = Initial\ Position + Rise$

This gives:

$New\ Position = -12m + 12m$

$New\ Position = 0$

Hence, the equation is:

$-12m + 12m =0$

3 0

3 years ago

What does it mean when probability is independent?

g100num [7]

When an event is independent of the other, it means Event A does not influence Event B.

For example, if one was to find the probability of someone owning a car and what there neighbour eats, there is no correlation. In this situation, the events are independent.

Hope I helped :)

8 0

3 years ago