For the pair of similar triangles, find the value of x.

A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How

konstantin123 [22]

Hi there! So 39,300 copies of a book were sold on debut month of release, and that represents 6.3% of all copies sold to date. To find the total amount of copies sold, we can write and solve a proportion. Set it up like this:

39,300/x = 6.3/100

We set it up like this because 39,300 is part of the total amount, and it represents 6.3% of the total book sales. Percents are parts of 100, which is why 6.3 is above 100. Let's cross multiply the values. 39,300 * 100 is 3,930,000. 6.3 * x is 6.3x. that makes 3,930,000 = 6.3x. Divide each side by 6.3 to isolate the x. 6.3x/6.3 cancels out. 3,930,000/6.3 is 623,809.5238 or 623,810 when rounded to the nearest whole number. There. The total amount of copies sold to date is about 623,810.

8 0

3 years ago

The solution set of 4x-(x+7)=2(x+3)

maria [59]

Step-by-step explanation:

<h3>To Solve:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

<h3>SOLUTION:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

$\\ \tt{:}\leadsto 4x-x-7=2x+6$

$\\ \tt{:}\leadsto 3x-7=2x+6$

$\\ \tt{:}\leadsto 3x-2x=6+7$

$\\ \tt{:}\leadsto x=13$

7 0

2 years ago

Can i get help on this one ? im almost running our of points i would give 50 but i need more ;-; anyway

JulsSmile [24]

Answer:

Step-by-step explanation:

Let x = third side

Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.

4 0

3 years ago

The answer and how you got the answer

olasank [31]

Answer:

$\frac{34}{15}$

Step-by-step explanation:

we are asked to evaluate

$4\tfrac{1}{4}$ ÷ $1\tfrac{7}{8}$

Above we are given mixed fraction which can be converted in proper fraction using formula given below

$a\tfrac{b}{c}=\frac{a \times c +b}{c}$

Hence

$4\tfrac{1}{4}=\frac{4 \times 4 +1}{4}$

$4\tfrac{1}{4}=\frac{17}{4}$

Also

$1\tfrac{7}{8}=\frac{1 \times 8 +7}{8}$

$1\tfrac{7}{8}=\frac{15}{8}$

Hence

$4\tfrac{1}{4}$ ÷ $1\tfrac{7}{8}$

can be written as

$\frac{17}{4}$ ÷ $\frac{15}{8}$

Also we know the rule for dividing fraction is as given below

$\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a}{b} \times \frac{d}{c}$

Hence

$\frac{17}{4}$ ÷ $\frac{15}{8}$ = $\frac{17}{4} \times \frac{8}{15}$

= $\frac{17 \times 2}{15}$

= $\frac{34}{15}$

8 0

3 years ago

How many persons are in the line? Ashley is in the line to buy a ticket. There are twice as many people in front of Ashley as th

Klio2033 [76]

Answer:

I am pretty sure there are 10 people in line.

Since Ashley is the seventh person in line, we can deduce that there are 6 people in front of her.

Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.

6/2 is 3, so there are 3 people behind Ashley.

Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.

9 + 1 = 10, so there are 10 people in the line.

4 0

3 years ago