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Rzqust [24]
3 years ago
9

Tom wants to place a photograph that is 8.5 inches wide on his science fair poster. His poster board is 21.25 inches wide. How f

ar from each edge should he place the photograph if he wants it to be centered
Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Answer:

6 3/8 inches (6.375 inches)

Step-by-step explanation:

For simplicity we'll assume that both the photo and the poster board are square.  To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2:  6.375 inches (6 3/8 inches).  

Set the photo 6 3/8 inches from each edge of the poster board.

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Macroeconomics focuses on C) government level. 
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8 0
3 years ago
1 Point
I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

7 0
3 years ago
aul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt
vodomira [7]

Set up a system of equations:


\text{Total shirts bought}

x + y = 9


\text{Total cost}

10x + 7y = 72


x represents how many tee shirts were bought, and y represents how many long sleeve shirts were bought.


For the first equation, subtract y from both sides to get x by itself:


x = 9 - y


We'll now use substitution. Since x is equal to a value, we can substitute this value for the other equation:


10(9-y) + 7y = 72


Distribute the 10 to both terms in parentheses:


10 \times 9 = 90

10 \times -y = -10y


90 - 10y +7y = 72


Combine like terms:


-10y + 7y = -3y

90 - 3y = 72


Subtract 90 from both sides:


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Divide both sides by -3 to get y by itself:


y = 6


6 long sleeve shirts were bought.


Now you have a value for y. Input this value into the first equation:


x + 6 = 9


Subtract both sides by 6 to get x by itself:


x = 3


3 tee shirts were bought.


The answer is B. 3 tee shirts and 6 long sleeve shirts.

4 0
3 years ago
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s2008m [1.1K]

Answer: y = 18/32


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Use this equation now y = k/x

Now it is y = 18/32

And that is your answer!


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dezoksy [38]

When x=-2, y is equal to 3

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3 years ago
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