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grandymaker [24]
3 years ago
9

Find the least common multiple of these two expressions. 10v^6y^7 and 6w^4v^5y^3

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

10v⁶y⁷    = <u>2</u> * 5 * <u>vvvvv</u>v * <u>yyy</u>yyyy      

6w⁴v⁵y³ = <u>2</u> * 3 * wwww * <u>vvvvv</u> * <u>yyy</u>

GCF: 2v⁴y³

<em>The LCM is the GCF and everything leftover</em>

LCM: 2v⁴y³ * (5 * v * yyyy) * (3 * wwww)

       = (2 * 5 * 3) * (v⁴ * v) * (w⁴) * (y³ * y⁴)

       =        30           v⁵        w⁴        y⁷

Answer: LCM =  30v⁵w⁴y⁷

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If candy canes cost .89 a dozen,how much would it cost to buy candy canes for a school with 400 students
IRINA_888 [86]
400/12 = # of dozen needed
.89 * # of dozen needed
400/12=33.33 need 34 dozen
.89*34=$30.26
8 0
3 years ago
The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits
agasfer [191]

Answer:

<h2>The mean decreases, and the median remains the same.</h2>

Step-by-step explanation:

Remember that a box plot is made by the quartiles of the distribution, the maximum value and the minimum value. So, from a box plot we can deduct the range, the median and the interquartile range.

In this case, the median remains the same at $9.5 per hour. The median is indicated by the middle line of the box, and you can observe that it doesn't change.

Now, the range of the data set decreases from 7 to 3.

On the other hand, the mean must decrease, because data greater than $11 doesn't exist in the box plot number 2, and the mean is a central measure sensible to those changes.

Therefore, the right answer is <em>The mean decreases, and the median remains the same.</em>

8 0
3 years ago
A kilobyte is 210 bytes and a megabyte is 220 bytes. How many kilobytes are in a megabyte?
Dmitrij [34]

Answer:

Around 1.04. Exactly 1.047619048

Step-by-step explanation:

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8 0
3 years ago
A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, becau
Serga [27]

Answer:

0.0159

Step-by-step explanation:

Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the​ plane, because customers who buy tickets do not always show up for the flight.

Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)

The plane is overbooked if more than 150 show up

i.e. less than 2 do not show up

Hence  the probability that the airline overbooked this​ flight

=P(X

4 0
3 years ago
What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for th
Nesterboy [21]

Answer:

636.4 in³  

Step-by-step explanation:

Volume of a cone is given by:

V = \frac{1}{3}\pi r^2 h

where r is the radius of the base of the cone and h is its height.

It is given that, the radius of the base of the cone is, r = 8 in

The height of the cone is, h = 9.5

\Rightarrow V = \frac{1}{3} \times 3.14 \times (8)^2 (9.5) = 636.4 in^3

Thus, the volume of the cone is 636.4 in³  

6 0
3 years ago
Read 2 more answers
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