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marshall27 [118]
3 years ago
10

Give your answer as a mixed number

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

The value of given expression is 13 / 3

Step-by-step explanation:

Given expression in the form of improper fraction;

17/3 - 1\frac{1}{3}

Find;

The value of given expression

Computation:

⇒ 17/3 - 1\frac{1}{3}

Step 1 ;

Change mixed fraction into simple fraction

⇒ 17/3 - 4/3

Step 2 ;

By taking LCM of denominators;

⇒ [17 - 4] / 3

Step 3 ;

Subtract 17 from 3

⇒ [13] / 3

The value of given expression is 13 / 3

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Nastasia [14]
22x+1 where x would be Gail's age.
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3 years ago
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The diagram below shows twelve 30-60-90 triangles placed in a circle so that the hypotenuse of each triangle coincides with the
julia-pushkina [17]

Answer:

m+n = 337

Step-by-step explanation:

Lets start from the first triangle, It is given to be as 30-60-90.

The hypotenous of first rectangle be 2x, then other sides are by default x and

\sqrt{3}(x) , using laws of trigonometry.

(sin(30) = 0.5  and cos(30) = \frac{\sqrt{3}}{2})

The perimeter of first triangle is ,

= 2x + x + \sqrt{3}(x) = x(3+\sqrt{3}) = \sqrt{3}x(1+\sqrt{3})

Now, for second triangle, the longer leg is 2x, and similarly again,

other 2 sides are \frac{2x}{\sqrt{3}}  and \frac{4x}{\sqrt{3}}.

Again the perimeter of triangle comes out as,

= \sqrt{3}(x)(1+\sqrt{3})(\frac{2}{\sqrt{3}})

Thus, the repeating pattern is identified. The consecutive perimeters differ by, multiplying by factor \frac{2}{\sqrt{3}}

Thus, we can say that perimeter of 4th triangle is,

= (\frac{2}{\sqrt{3}})^{3}(X), where X is the repeating constant.

And of 12th triangle is,

= (\frac{2}{\sqrt{3}})^{11}(X),

Evaluating the above ratio, we get,

= \frac{81}{256}

Thus, m =256 and n=81.

Thus, m+n = 256+81 = 337.

6 0
3 years ago
Simplify each expression using the order of operations or the distributive property​
Nataly [62]

Answer:

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Step-by-step explanation:

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Ralph has budgeted $175 for entertainment. He uses this money to go out on dates for $35 or to go out with his friends for $15.
Stolb23 [73]
Assuming that Ralph budgeted $180 instead of $175 entertainment. He spent $35 per date and let "x" be the number of dates he attended. He spent $15 to go out with friends and let "y" the number of times that he go out with friends.

The correct expression is the "B" which is 35x + 15y =180.
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4 years ago
Pat made a total of 48 pottery plates and cups. if she made twice as many plates as cups, how many plates did she make?
ddd [48]
If C stands for cups, solve for C

48 - 2c = 0
    l
subtract 48 from each side.
    l
2c=-48
    l
divide 48 by 2 --->  24.



3 0
3 years ago
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