How many people are in the office?

Mathematics

1 answer:

labwork [276]2 years ago

7 0

Answer:

around 150

Step-by-step explanation:

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HELPHELPHELPPLSPSLSPSGiven ? || 5. What is the measure of 21, 22, and 23.? angle 1

Marat540 [252]

Answer:

Angle 1 is 135 degree

Angle 2 is 45 degree

Angle 3 is 135 degree

5 0

2 years ago

Find the quotient.

posledela

Answer :

$B. 16 {a}^{2}c$

step-by-step explanation :

$48 {a}^{3}b{c}^{2} \div 3abc$

This can be rewritten as:

$\frac{ 48 {a}^{3}b {c}^{2} }{3abc}$

Now,

$\frac{48}{3}=16$

The law of indices states that:

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

It implies that, when dividing two expressions with the same bases, repeat one of the bases and subtract the exponents.

Therefore,

$\frac{ {a}^{3} }{a}= {a}^{3 - 1} = {a}^{2}$

$\frac{b}{b} = {b}^{1 - 1} = {b}^{0} = 1$

Note: Any non-zero number exponent zero is 1

Also

$\frac{ {c}^{2} }{c} = {c}^{2 - 1} = {c}^{1} = c$

Hence:

$\frac{ 48 {a}^{3}b {c}^{2} }{3abc} = 16 {a}^{2}c$