12.5 = 3x = 20

A department store offered a 15% discount off the regular price of a shirt. The amount of the discount is $3. What is the regula

torisob [31]

Answer: $3.53

Step-by-step explanation: 15 percent off can be thought of as 85% of the original value because 100-15 is 85. this means that if x is the value of the original shirt, .85x=3

divide by .85

x=3.5294

which is about $3.53

4 0

2 years ago

Read 2 more answers

Plssss help!!<br><br> find the area of the regular polygon

Pavel [41]

Answer:

wiat ill work this out for you

Step-by-step explanation:

7 0

2 years ago

Find the smallest power of 10 that will exceed M. Let M = 118,526.65902.

zavuch27 [327]

Answer:

The smallest power of 10 that will exceed $M$ is $10^{6}$ .

Step-by-step explanation:

We can use the following approach to determine the smallest power of 10 that will exceed M. We can transform that number into scientific notation, which is of the form:

$x.y \times 10^{n}$ , $\forall \,x,y\in \mathbb{N}$

Where:

$x$ - Integer part, formed by a digit, which is of the highest order.

$y$ - Decimal part, formed by a digit onwards.

$n$ - Power grade.

The smallest power of 10 that will exceed M is $10^{n+1}$

If $M = 118,526.65902$ , then, the power grade is number of spaces that dot must be moved leftwards. In this case, dot must be moved 5 spaces on the left. The integer part is 1 and the decimal part is 1852665902. Then, the value of $M$ in scientific notation is:

$M = 1.1852665902\times 10^{5}$

Then, the smallest power of 10 that will exceed $M$ is $10^{6}$ .

5 0

3 years ago

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:

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