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nignag [31]
2 years ago
9

How to solve for x (proportions)

Mathematics
1 answer:
timurjin [86]2 years ago
5 0

Answer:

16/3 or 5 1/3

Step-by-step explanation:

Cross Multiply

4×4

3×x

16=3x

Divide 3 from 16

x=16/3 or 5 1/3

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A musician plans to perform 4 selections. In how many ways can she arrange the musical selections?
Y_Kistochka [10]
The musician can arrange the musical selections 24 times. :)
8 0
3 years ago
Read 2 more answers
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Ju
Aleks [24]
To do this we need to find the factors of 60 these are:
1 and 60
2 and 30
3 and 20
4 and 15
5 and 12
6 and 10
There is 1 pair that have a difference of 7 and that is 5 and 12
6 0
3 years ago
Five more than three-fourths a number is -19
gogolik [260]

Answer:

5 + 3/4x = -19

Step-by-step explanation:

more than means adding

3 0
2 years ago
Find the obtuse angle between the following pair of straight lines.
ioda

Given:

y=-2

y=\sqrt{3}x-1

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

y=mx+b     ...(i)

where, m is slope and b is y-intercept.

The given equations are

y=0x-2

y=\sqrt{3}x-1

On comparing these equations with (i), we get

m_1=0

m_2=\sqrt{3}

Angle between two lines whose slopes are m_1\text{ and }m_2 is

\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|

Putting m_1=0 and m_2=\sqrt{3}, we get

\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|

\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|

\tan \theta=\pm \sqrt{3}

Now,

\tan \theta= \sqrt{3} and \tan \theta=-\sqrt{3}

\tan \theta= \tan 60^\circ and \tan \theta=\tan (180^\circ-60^\circ)

\theta= 60^\circ and \theta=120^\circ

120>90, so it is an obtuse angle and 60, so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

6 0
2 years ago
8 cm
djyliett [7]

Answer:

Step-by-step explanation:

A = (3.14)(8)2

= 200.96

3 0
2 years ago
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