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ikadub [295]
4 years ago
13

Simplify these expressions

Mathematics
1 answer:
Xelga [282]4 years ago
6 0
\frac{10a}{2} \\ \\ 5a \\ \\

The answer is: 5a

-----------

\frac{36b}{6b} \\ \\  \frac{36}{6} \\ \\ 6 \\ \\

The answer is: 6

------------

\frac{16c^2}{8c} \\ \\ 2c^{2-1} \\ \\ 2c^1 \\ \\ 2c \\ \\

The answer is: 2c

------------

\frac{18ab^2}{2b} \\ \\ 9ab^{2-1} \\ \\ 9ab^1 \\ \\ 9ab \\ \\

The answer is: 9ab

------------

\frac{40b^2c^2}{5bc} \\ \\ 8b^{2-1} c^{2-1} \\ \\ 8b^1c^1 \\ \\ 8bc^1 \\ \\ 8bc \\ \\

The answer is: 8bc

-----------

\frac{63ab^2c^3}{7b^2c^2} \\ \\  \frac{63ac^3}{7c^2} \\ \\ 9ac^{3-2} \\ \\ 9ac^1 \\ \\ 9ac \\ \\

The answer is: 9ac
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Solve 5x(m+n) using the distributive property
Genrish500 [490]

Answer: 5xm+5xn

Step-by-step explanation:

For this exercise it is necessary to remember the following:

1) The Distributive Property states the following:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2) The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Knowing this, and having the following expression given in the exercise:

5x(m+n)

You can apply the Distributive property multiplying m and n, which are inside the parentheses, by 5x.

So, you get the following result:

=(5x)(m)+(5x)(n)=5xm+5xn

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3 years ago
If the diameter of a circle is 124 centimeters, then what is the radius.
zhenek [66]

Answer:

radius = 62 cm

Step-by-step explanation:

radius = diameter/2

radius = 124/2 = 62 cm

6 0
3 years ago
Read 2 more answers
An electrician charges a set fee for every house call and then charges an hourly ratedepending on how long the job takes. The to
Luda [366]

We have the equation:

C(t)=65+60t

Given the slope-intercept formula for the equation of the line, we have the following:

\begin{gathered} y=mx+b \\ m\colon\text{ slope} \\ If\text{ C=65+60t} \\ \Rightarrow slope\text{ = 60} \end{gathered}

Now, since we have that t is the number of hours the electrician spends working, the slope of the function represents the hourly rate charged.

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A cat gave birth to 4 kittens. Three of the kittens had different masses between 147 and 159 kg and one kitten had a mass of 57k
Marizza181 [45]

Answer:

Both the mean and median will increase, but the mean will increase by more than the median.

Step-by-step explanation:

3 0
3 years ago
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If the operation is defined for all integers a and b by <a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail=
leva [86]

Answer:

(E) I, II and III

Step-by-step explanation:

Given,

[email protected] = a + b - ab ∀ a, b ∈ Z ( set of all integers ),

For solving this question we need to remember the following properties of integers:

  • Commutative property of addition
  • Additive identity property of addition
  • Commutative property of multiplication
  • Distributive property of multiplication over addition

I. [email protected] = a + b - ab,

[email protected] = b + a - ba = a + b - ab

Thus, [email protected] = [email protected]

II. [email protected] = a + 0 - a × 0

= a + 0 - 0  

= a

III. ([email protected])@c = ([email protected])+c - ([email protected])c

= (a + b - ab) + c - (a + b - ab)c

= a + b - ab + c - ac - bc + abc

= a + b + c - ab - bc - ac + abc,

Now, [email protected]([email protected]) = [email protected]( b + c - bc )

= a + (b + c - bc) - a(b+c - bc)

= a + b + c - bc - ab - ac + abc

= a + b + c - ab - bc - ac + abc.

Thus, ([email protected])@c = [email protected]([email protected])

6 0
3 years ago
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