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vova2212 [387]
3 years ago
12

Can someone please explain to me please

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

  120

Step-by-step explanation:

nCk or C(n, k) are ways to write the "combinations" function. That function tells you how many combinations of n things there are when they are taken k at a time.

Here, you have 10 vegetables, and you want to count the number of ways you can take 3 at a time. You are being asked to find the value of 10C3, or C(10,3). You do this by putting 10 where n is in the formula, and 3 where k is. Then do the arithmetic.

  10C3 = (10!)/(3!(10-3)!) = 10·9·8/(3·2·1) = 5·3·8 = 120

120 3-vegetable plates may be made.

__

Read more on Brainly.com - brainly.com/question/14297983#readmore

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5. The value of y varies directly with x, and
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Answer: y= 3x

Step-by-step explanation:

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A number is increased by 50% and then another 25%. By how much is it increased in total?
blsea [12.9K]

Answer:

87.5 percent

Step-by-step explanation:

when you have to increase a number by 50 percent you are multiplying it by 1.5

later when you increase the number by 25 percent you multiply it by 1.25

you can multiply 1.5 by 1.25 to get your answer

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3 0
2 years ago
1. Write the equation of the line parallel to y = 7x – 5 and going through the point (4,31).
densk [106]

Answer:

y=7x+3

Step-by-step explanation:

Hi there!

We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)

First, let's find the slope of y=7x-5, since parallel lines have the same slopes

The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since 7 is in the place of where m is, the slope of the line is 7

It's also the slope of the line parallel to it.

We can substitute 7 as m into the formula y=mx+b for our new line:

y=7x+b

Now we need to find b

Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x

31=7(4)+b

Multiply

31=28+b

Subtract 28 from both sides

3=b

Substitute 3 as b

y=7x+3

Hope this helps!

6 0
2 years ago
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