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3 years ago

7

A STATE PRIZE PAYS $1000 weekly for 15 years.

2 answers:

Leno4ka [110]3 years ago

8 0

Answer:

$725,400 Should be the answer.

Doss [256]3 years ago

3 0

Answer:

b

Step-by-step explanation:

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The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?

Marat540 [252]

So... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\$

$\bf \cfrac{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}}
\\\\\\
\cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}$

3 0

3 years ago

The Candy Shack sells 138 pounds of candy on Tuesday. They sold 71.76 pounds of jelly beans. What percent of the candy sold was

Pepsi [2]

<u>Answer:</u>

<h2>52% were jelly beans!</h2>

<u>Explanation</u><u>:</u>

<em>Cross </em><em>multiply </em><em>the </em><em>following:</em>

<em> $\frac{x}{100} = \frac{71.76}{138}$ </em>

<em>x </em><em>times </em><em>1</em><em>3</em><em>8</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>8</em><em>x</em>

<em>100 </em><em>times </em><em>7</em><em>1</em><em>.</em><em>7</em><em>6</em><em> </em><em>=</em><em> </em><em>7</em><em>,</em><em>1</em><em>7</em><em>6</em>

<em>Divide </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>3</em><em>8</em><em>:</em>

<em> $\frac{138x}{138} = \frac{7176}{138}$ </em>

<h3><em>x </em><em>=</em><em> </em><em>5</em><em>2</em><em>%</em></h3>

6 0

3 years ago

Read 2 more answers

What is the approximate distance between points A and B?

Aleks04 [339]

Answer:

$\displaystyle d \approx 7.62$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra II</u>

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A(1, 4)

Point B(-2, -3)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>

Substitute in points [DF]: $\displaystyle d = \sqrt{(-2-1)^2+(-3-4)^2}$
(Parenthesis) Subtract: $\displaystyle d = \sqrt{(-3)^2+(-7)^2}$
[√Radical] Exponents: $\displaystyle d = \sqrt{9+49}$
[√Radical] Add: $\displaystyle d = \sqrt{58}$
[√Radical] Evaluate: $d = 7.61577$
Round: $\displaystyle d \approx 7.62$

3 0

3 years ago

You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money

NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0

3 years ago

José collects stamps. He has 7 used stamps for every 4 new stamps. If he has 28 new stamps, how many used stamps does he have?

jenyasd209 [6]

Answer:

José has 49 used stamps

Step-by-step explanation:

7 used stamps for every 4 new stamps

To solve this type of problem, we can use a ratio

7 : 4 ratio

He has 28 new stamps

7 : 4 = x : 28

Ratios can be written as fractions

$\frac{7}{4} = \frac{x}{28}$

Cross multiply

4x = 7(28) = 196

Divide by 4 on both sides

x = 49

Hope this helps :)

3 0

3 years ago