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3 years ago

Convert .667 into a fraction

Mathematics

1 answer:

Inga [223]3 years ago

3 0

$0.\underbrace{667}_{3}=\dfrac{667}{1\underbrace{000}_{3}}$

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If the average of 5 positive integers is 70, what is the largest possible value of their median?

maw [93]

<h3>Answer: C) 116</h3>

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Explanation:

We want the median to be as large as possible, so let's go for the largest answer choice and see if it works or not. I'll show that it doesn't work.

So we have 5 values, in which the median is 346. This must mean there are 2 values larger than 346 (since this value is in slot 3, aka the middle). But if one value is 346, then the other 4 values must be 1 so that we end up with a mean of 70, as shown below

add up the five values: 1+1+1+1+346 = 350

divide by five: 350/5 = 70

In the set {1, 1, 1, 1, 346} the median is 1,and not 346. So this is where things fall apart. If we wanted 346 in the middle, then we'd need to have two other values larger than 346, or equal to it. However that would make the sum get over 350. We want the sum to be 350 so dividing it over 5 leads to the proper mean of 70.

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The median can be 116 as this example shows

{1, 1, 116, 116, 116}

sum = 1+1+116+116+116 = 350

divide that sum over five: 350/5 = 70

we get the proper mean we want

7 0

3 years ago

at a concession stand 9 slices of pizza and 5 soft pretzels cost $33.25. If 4 slices of pizza and 6 soft pretzels cost $19.50. W

jok3333 [9.3K]

Answer:

The cost of soft pretzel is $1.25

Step-by-step explanation:

Let $x be the price of one slice of pizza and $y be the price of one soft pretzel.

1. 9 slices of pizza cost $9x and 5 soft pretzels cost $5y. Together they cost $33.25, then

9x+5y=33.25.

2. 4 slices of pizza cost $4x and 6 soft pretzels cost $6y. Together they cost $19.50, then

4x+6y=19.50.

3. Solve the system of two equations:

$\left\{\begin{array}{l}9x+5y=33.25\\4x+6y=19.50\end{array}\right..$

Multiplythe first equation by 4, the second equation by 9 and subtract them:

$4(9x+5y)-9(4x+6y)=4\cdot 33.25-9\cdot 19.50,\\ \\36x+20y-35x-54y=133-175.5,\\ \\-34y=-42.5,\\ \\y=\$1.25.$

Then

$4x+6\cdot 1.25=19.50,\\ \\4x=19.50-7.50,\\ \\4x=12,\\ \\x=\$3.$

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Which of the following best describes the function shown below?

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-Dominant- [34]

Answer:

x+7

Step-by-step explanation:

So it's been a while since I took Geometry, so I don't know what principle makes these angles equal to each other, but I know that they are in fact equal. So that means that 6x +3 = 45. Subtract 3 from each side gets you 42+6x, then divide each side by 6, which gets you your answer of x=7.

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What is the slope of a line that passes through the two points (12, -18) and (11,12)

Olin [163]

The slope is -30 because when u calculate the rise over run it gets to -30

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