All categories

2 years ago

43.77 as a mixed number in simplest form

Mathematics

1 answer:

valina [46]2 years ago

5 0

First you have to take the whole number (43) and then take the decimal and put it over 100 (77/100).

You might be interested in

The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find

mamaluj [8]

Answer:

$x = 10$ . In other words, there number of girls is $10$ .

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

$\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}$ .

Rewrite to obtain:

$\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}$ .

For this question:

$\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}$ .

$\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}$ .

Therefore:

$\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}$ .

On the other hand, there are $(15 + x)$ boys and girls in total. Using the formula for average:

$\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}$ .

From the question, this average should be equal to $123$ . In other words:

$\displaystyle \frac{1875 + 120\, x}{15 + x} = 123$ .

Solve this equation for $x$ to obtain:

$1875 + 120\, x= 123\, (15 + x)$ .

$(123 - 120)\, x = 1875 - 123 \times 15$ .

$x = 10$ .

In other words, the number of girls here is $10$ .

5 0

3 years ago

Please help me on this problem I don't know how to do it.

quester [9]

1: establish the angles, basically label one x (the small one) and the other y (the bigger one)

2. supplementary angles add up to 180, so therefore you have the equation x + y = 180.

3. so y (the bigger one) is 8 less than 3 times the smaller one (x) therefore you come up with the equation y = 3x - 8

4. plug in the equation of the bigger one into the other equation

x + 3x - 8 = 180
(combine like terms)
4x - 8 = 180

5. solve the equation by adding 8 to 180, then by dividing by 4.
x should equal 47

6. plug in 47 into the x + y = 180 equation, subtract 47 from 180 and you end up with 133

i hope i explained it alright

7 0

3 years ago

an object starts from rest and accelerates at a rate of 4 m/s^2 for 3 seconds. What is its displacement from the start position?

timurjin [86]

It’s displacement is 18m away!!

3 0

3 years ago

The bedroom of a house is 1,200 cubic meters. We know that there are 3.4 x 109 particles of dust per cubic meter. How many parti

Brrunno [24]

Norteo lo se
awdwqmedowmesdsaa sddasdasdasd asdasd asdqasd asd

3 0

3 years ago