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2 years ago

HELP PLEASE!!! Which of the following is the equation for X: ax^2 = bx? Select all that apply.

Mathematics

1 answer:

ki77a [65]2 years ago

5 0

Ax^2 = bx Divide by x
ax^2/x = b
ax^(2 -1) = b
ax = b Divide by a
x = b/a

5 <<<< Answer.
x≠0
a≠0

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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 $10$ .

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2 years ago

Which ordered pair is generated from the equation shown below? y = 3x - 1 A. (6, 18) B. (6, 17) C. (4, 12) D. (9, 8)

geniusboy [140]

Answer:

B 6,17

Step-by-step explanation: If you plug in the value of x from each of the choices only b gives the correct value of y. If you put 6 in the place of x in y= 3x-1 then y= 18-1 which is 17, and it does say 17 in 6,17.

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2+2 is 4 minus 1 thats 3 quick maths

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At a cookout the cook prepares 25 hot dogs and 16 hamburgers. If the ratio is 25 to 16, the rate can be expressed as 25 hot dogs

victus00 [196]

25 hot dogs per 16 hamburgers.

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