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SOVA2 [1]
3 years ago
11

Solve.

Mathematics
1 answer:
Nikitich [7]3 years ago
5 0
The answer is C: 10\text{ }^1/_2. Here are the details:

\text{Equation:}\\ 6\text{ }^1/_3+10\text{ }^1/_2\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{Start with the integers.}\\ 6+10=16\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{...then with the fractions, but rewrite them first to make it easier.}\\ ^1/_3+\text{ }^1/_2\stackrel{\text{rewrite}}{\to}\text{ }^2/_6+\text{ }^3/_6=\text{ }^5/_6\stackrel{?}{=}26\text{ }^1/_6\\
\\
\text{Add 'em up!}\\
16\text{ }^5/_6

\text{Equation:}\\
16\text{ }^5/_6+3\text{ }^5/_6\stackrel{?}{=}26\text{ }^1/_6\\
\\
\text{Start with the integers.}\\
16+3=19\stackrel{?}{=}26\text{ }^1/_6\\
\\
\text{...then with the fractions, but rewrite them first to make it easier.}\\
^5/_6+\text{ }^5/_6=\text{ }^{10}/_6\stackrel{\text{rewrite}}{\to}\text{ }^5/_3\stackrel{\text{rewrite}}{\to}1\text{ }^2/_3\stackrel{?}{=}26\text{ }^1/_6\\
\\
\text{Add 'em up!}\\
20\text{ }^2/_3

\text{Last equation:}\\ 20\text{ }^2/_3+5\text{ }^1/_2\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{Start with the integers.}\\ 20+5=25\stackrel{?}{=}26\text{ }^1/_6\\ \\ \text{...then with the fractions, but rewrite them first to make it easier.}\\ ^2/_3+\text{ }^1/_2\stackrel{\text{rewrite}}{\to}\text{ }^4/_6+\text{ }^3/_6=\text{ }^7/_6\stackrel{\text{rewrite}}{\to}1\text{ }^1/_6\stackrel{?}{=}26\text{ }^1/_6\\
\\
\text{Add the integer and fraction together.}\\
25+1\text{ }^1/_6\stackrel{?}{=}26\text{ }^1/_6

26\text{ }^1/_6\stackrel{\checkmark}{=}26\text{ }^1/_6
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Please answer !!!!!!!! Will mark brainliest whoever answers correctly !!!!!!!!
kirill115 [55]

Answer:

g(q) = 5/8q

Step-by-step explanation:

-7q + 12r = 3q - 4r

Add 4r to each side

-7q + 12r+4r  = 3q - 4r+4r

-7q +16r = 3q

Add 7q to each side

-7q+7q +16r = 3q+7q

16r = 10q

Divide each side by 16

16r/16 = 10q/16

r = 5q/8

g(q) = 5/8q

5 0
3 years ago
Dimensions are not necessary on an Isometric drawing <br> True<br> False
tatuchka [14]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Solve x2 - 8x = 3 by completing the square. Which is the solution set
Simora [160]

Answer:

4\pm\sqrt{19}

Step-by-step explanation:

Move everything to left side

x^{2} -8x -3 =0

Now to solve this square equation we need to find Descriminant

D=b^{2} -4ac=64+12=76

As Descriminant D is greater than 0 then we have 2 solutions which we can calculate by this formula

x_{1,2}=\frac{-b\pm\sqrt{D}}{2a} =\frac{8\pm2\sqrt{19}}{2}=4\pm\sqrt{19}

3 0
3 years ago
Sara has 20 sweets. She has 12 liquorice sweets, 5 mint sweets and 3 humbugs. Sarah is going to take, at random, two sweets Work
Debora [2.8K]

Answer:

111 / 190

Step-by-step explanation:

Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}

Apply this same concept to each of the other sweets;

5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\

The probability that the two sweets will not be the same type of sweet =

111 / 190

3 0
3 years ago
The interior of a regular polygon is 5 times the exterior angle
densk [106]

Step-by-step explanation:

The interior angle of a polygon is given by

\frac{(n - 2) \times 180}{n}

The exterior angle of a polygon is given by

\frac{360}{n}

where n is the number of sides of the polygon

The statement

The interior of a regular polygon is 5 times the exterior angle is written as

\frac{(n - 2) \times 180}{n}  = 5( \frac{360}{n} )

Solve the equation

That's

\frac{180n - 360}{n}  =  \frac{1800}{n}

Since the denominators are the same we can equate the numerators

That's

180n - 360 = 1800

180n = 1800 + 360

180n = 2160

Divide both sides by 180

<h3>n = 12</h3>

<h2>I).</h2>

The interior angle of the polygon is

\frac{(12 - 2)  \times 180}{12}  =  \frac{10 \times 180}{12}  \\  =  \frac{1800}{12}

The answer is

<h2>150°</h2>

<h2>II.</h2>

Interior angle + exterior angle = 180

From the question

Interior angle = 150°

So the exterior angle is

Exterior angle = 180 - 150

We have the answer as

<h2>30°</h2>

<h2>III.</h2>

The polygon has 12 sides

<h2>IV.</h2>

The name of the polygon is

<h2>Dodecagon</h2>

Hope this helps you.

6 0
3 years ago
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