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3 years ago

PLEASE HELP PLEASE!!!

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

Did you try Goutmath?.......???????????!!....try Goutmath jas install the Goutmath

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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

Help please<br>Mark as brainliest

34kurt

You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1

Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.

8 0

3 years ago

Convert 27 ounces into grams.

podryga [215]

Answer:

765.45 grams

Step-by-step explanation:

Using the hint that they gave us, we would do 27 * 28.35.

That would equate to 765.45 grams.

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3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

wlad13 [49]

Answer:

4.80

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

${c}^{2} = {a}^{2} - {b}^{2}$

$= \sqrt{ {12}^{2} - {11}^{2}} \\ = 4.7958... \\ = 4.8$

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3 years ago

How can you use the Distributive Property to solve multistep equations?

Ad libitum [116K]

Answer:

just distibute the propertys to other propertys

Step-by-step explanation

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3 years ago