What is the sum of two integers is 54 and their difference is 10.

1 answer:

3 0

Use sum and difference formulas, where difference is positive.

Larger number = (sum+difference)/2 = (54+10)/2 = 32
Smaller number = (sum-difference)/2 = (54-10)/2 = 22

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Once each day, Erika tracks the depth of the water in her local creek. Her first nine measurements, in inches, are: 16, 15, 13,

solniwko [45]

Answer:

Median = 13

Step-by-step explanation:

We are given the following data:

16, 15, 13, 12, 17, 14, 11, 9, 11

Formula:

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 9, 11, 11, 12, 13, 14, 15, 16, 17

Median =

$=\dfrac{9+1}{2}^{th} = 5^{th}\text{ term} = 13$

Thus, the median of the given data is 13.

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What’s 690 divided by 4???

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2 years ago

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Find the value of x for which m parallel to n <br> A. 31 <br> B. 33 <br> C. 39 <br> D. 41

olya-2409 [2.1K]

Hello!

We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.

180 - 105 = 75

The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.

75 = 3x - 18
93 = 3x
31 = x

Answer:
x = 31

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3 years ago

Hiro bought a small carton of milk at lunch. If the approximate dimensions of the milk carton are shown what is the minimum amou

faltersainse [42]

Answer:

$C.\ 104\ in^2$

Step-by-step explanation:

At first, the question looks like an optimization problem, but since all the dimensions of the carton are given, we only have to compute the total area of the given figure.

Let's calculate the front (and back) areas, which are rectangles

$A_1=(6.5)(3)=19.5\ in^2$