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beks73 [17]
3 years ago
13

Which choice is equivalent to the expression below?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

28 + 2/10 + 4/100

Step-by-step explanation:

28.24

28 ones  plus 2 tenths  plus 4  hundredths

28 + 2/10 + 4/100

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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
Jim is designing a seesaw for a children’s park. The seesaw should make an angle of 45 degrees with the ground, and the maximum
balandron [24]

Answer:

B) 1.4

Step-by-step explanation:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

3 0
2 years ago
H=65-1.4x what is the initial value?
wariber [46]
The <span>initial value is 65 since that is the y intersept.</span>
8 0
3 years ago
Last month you purchased 6 individual songs and 1 albums for a total of $21.99.
Annette [7]

Answer:

Song =$1.50 Album =$12.99

Step-by-step explanation:

Lets assume Individual songs = x

albums=y

6x + y = 21.99-------- y= 21.99- 6x

4x + 3y= 44.97

Replace y in the second equation

4x+ 3(21.99-6x) = 44.97

4x +65.97- 18x = 44.97

14x= 21

x = 1.50

y= 21.99- (6*1.50)

= 12.99

7 0
3 years ago
20-2x&lt;10 bagaimana caranya
Mashcka [7]
I hope this helps you

3 0
3 years ago
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