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tangare [24]
3 years ago
9

In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below: Three contain

ers of the same shape but different sizes are shown, starting with the shortest and ending with the longest. The following quantities are written below the containers. x minus 10 liters below the first, x minus 5 liters below the second, and x liters below the third. How many liters of water can the three containers hold in all? x − 15 3x − 15 x3 + 50 3x3 − 15
Mathematics
2 answers:
masha68 [24]3 years ago
6 0
<u><em>Answer:</em></u>
3x - 15

<u><em>Explanation:</em></u>
<u>Before we begin, remember the following:</u>
ax + bx = (a+b)x
xᵃ * xᵇ = x⁺ᵇ

<u>Now, for the given:</u>
<u>We have:</u>
volume of first container = x - 10 liters
volume of second container = x - 5 liters
volume of third container = x liters

The volume of water that can be contained in the three containers together would be the SUMMATION of the three volume.

<u>This summation can be computed as follows:</u>
x - 10 + x - 5 + x = x + x + x - 10 - 5
                            = 3x - 15 liters

Hope this helps :)
melamori03 [73]3 years ago
3 0

Answer:

Step-by-step explanation:

The answer is 3x - 15, it’s simple combining like terms and equations given

I also took the test and it’s right

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Divide and simplify<br> ax + ay + bx + by/<br> x+y
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ax + ay + bx + by

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(a + b) ( x + y)

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x + y is canceled out both in the denominator and numerator

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Given that 3+√5/4−√5 = a + b√5, find the values of “a” and “b”<br>URGENT PLZ ANSWER!
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Answer:

Step-by-step explanation:

hello :

√(5/4)= √5/ √4 =√5/2 = (1/2)√5

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6 0
4 years ago
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to o
Roman55 [17]

Answer:

Range = 11-2=9

\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5

\sigma^2 =8.25 \approx 8.3

\sigma = \sqrt{8.25}= 2.87 \approx 2.9

Step-by-step explanation:

Assuming this question: "Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 2,3,4,5,6,7,8,9,10,11 "

Solution to the problem

The range is defined as Range = Max -Min and if we replace we got:

Range = 11-2=9

Now we can calculate the population mean with this formula:

\mu =\frac{\sum_{i=1}^n X_i}{N}

And if we replace we got:

\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5

The population variance is given by:

\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}

And after replace we got: \sigma^2 =8.25 \approx 8.3

And the population standard deviation would be just the square root of the variance and we got:

\sigma = \sqrt{8.25}= 2.87 \approx 2.9

4 0
4 years ago
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