Divide 5 by 4. is your answer a rational number ? explain

The difference between twice a number and a number that is 5 more than it is 3. Which of the following equations could be used t

saw5 [17]

Answer:

Step-by-step explanation:

Let the number = x

2x - (x + 5) = 3 Answer

Now Let's solve it.

2x - x - 5 = 3

x - 5 = 3

x = 8

Check

2*8 - (8 + 5)

16 - 13

3

which is exactly what the right hand sign is.

5 0

3 years ago

45°30' is equal to….

Schach [20]

Answer:

163800"

Step-by-step explanation:

1°=60'

1' =60"

so,

45°30'

=(45°×60×60)"+(30×60)"

=162000"+1800"

=163800"

So,45°30' is equal to 163800".

5 0

3 years ago

Which number can be used as a common denominator for the fractions One-fourth and FIve-sixths?

Sav [38]

Answer:

12

Step-by-step explanation:

Given two fractions:

One - fourth and Five - Sixths.

To find:

The common denominator that can be used for the given fractions.

Solution:

First of all, let us have a look at the given fractions:

First fraction is:

$\dfrac{1}{4}$

Second fraction is:

$\dfrac{5}{6}$

The denominators of the fractions are 4 and 6.

To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.

LCM is the least number which is divisible by the two numbers.

Let us find the LCM by factorization method.

4 = 2 $\times$ 2

6 = 2 $\times$ 3

The common number are taken once and other number which are not common are taken as it is.

So, the LCM is 2 $\times$ 2 $\times$ 3 = 12

The numbers can be written as:

$\dfrac{3}{12}, \dfrac{10}{12}$

Therefore, 12 can be used as the common denominator.

7 0

3 years ago

Find the : F (g (x))

grin007 [14]

Answer:

bn+c=

tn=t1+(n-1)d

Step-by-step explanation:

bn+c=

tn=t1+(n-1)d∛²

6 0

3 years ago

1. There were 36,000 people at a horse race in Lexington, Kentucky. The day's

Step2247 [10]

Answer:

10000 people paid $12.00 each for clubhouse seats and
26000 people paid $5.00 each for grandstand seats.

Step-by-step explanation:

The question is asking for a system of equations, which make explanations easy. :)

Define the variables. Setting $x$ to the number of clubhouse seats sold and $y$ to the number of grandstand seats sold will be sufficient. The "let statement[s]" will be:

Let $x$ be the number of clubhouse seats sold.
Let $y$ be the number of grandstand seats sold.

The number of equations shall be no less than the number of variables for the solution to be unique. There are two variables. It will take at least two equations to find a unique solution.

Everyone at the race need a seat. The number clubhouse seats plus the number of grandstand seats shall be the same as the number people at the race. There were 36,000 people. Therefore the first equation shall be:

$x + y = 36000$ .

Every clubhouse seat will add $12.00 to the receipt. $x$ clubhouse seats will add $ $12\;x$ to the receipt. Similarly, $y$ grandstand seats will add $ $5\;y$ to the receipt. The two values shall add up to $250,000.

Drop the dollar sign to get the second equation:

$12\;x +5\;y =250000$ .

Hence the system:

$\displaystyle \left\{\begin{aligned}& x + y = 36000 && \textcircled{\raisebox{-0.9pt}1}\\ & 12\;x + 5\;y = 250000 && \textcircled{\raisebox{-0.9pt}2}\end{aligned} \phantom{\small credit for the raisebox hack: tex[dot]stackexchange[dot]com/questions/7032/good-way-to-make-textcircled-numbers}$ .

Solve this system.

The first non-zero coefficient in equation $\textcircled{\raisebox{-0.9pt}1}$ is already one. That's the coefficient for $x$ . Use multiples of equation $\textcircled{\raisebox{-0.9pt}1}$ to get rid of $x$ in other equations (equation $\textcircled{\raisebox{-0.9pt}2}$ in this case.)