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lesya692 [45]
3 years ago
15

Why is 210 divided by 30 the same as 21 tens divided by 3 tens

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

It is by definition.  210 means 21 tens or 21 * 10.  30 means 3 tens or 3*10.

Since there is a ten on the top and bottom of the divisor 210/30 is also the same thing as 21/3. All of which is 7 and all of which is true by definition.

Step-by-step explanation:

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The radius of the circle is 100 mm what is the diameter
Illusion [34]

Answer:

The answer is B) 200mm. Check the image for the workings

7 0
3 years ago
if danny jogged 8x-21 miles and julie jogged 24x-63 mike’s, how many times longer was julie’s travel distance than danny’s?
Bas_tet [7]
Julie traveled 3 times more miles than Danny.
This is because 24x is 3 times more than 8x and -63 is 3 times more than -21.
6 0
3 years ago
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University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami
vladimir2022 [97]
The confidence interval is
0.59\pm0.081

We first find p, our sample proportion.  118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081

This gives us the confidence interval 
0.59\pm0.081
8 0
4 years ago
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and Charlie in that order. Each customer buys more scones th
Korvikt [17]
Robbie bought the smallest amount. Let's use x for that amount.
Let's use n for amount that each following customer increases.

We have:
Robbie=x
Cameron=x+n
Louis=x+n+n
Tom=x+n+n+n
Charlie=x+n+n+n+n

We know that they bought total of 60 scones.
Robbie + Cameron + Louis + Tom + Charlie = 60
x + x+n + x+n+n + x+n+n+n + x+n+n+n+n = 60
5x + 10n = 60 /:5
x + 2n = 12

We are also given this information:
(Robbie + Cameron) = 3/7 * (Louis + Tom + Charlie)
We insert the equations from above:
(x + x+n) = 3/7 * (x+n+n + x+n+n+n + x+n+n+n+n) 
2x + n = 3/7 * (3x + 9n) /*7
14x + 7n = 3* (3x + 9n)
14x +7n = 9x + 27n
We take everything on the left side.
14x + 7n - 9x - 27n = 0
5x - 20n = 0/:5
x - 4n = 0

Now we have two equations:
x + 2n = 12
x - 4n = 0
We solve second one for x and insert it into first one.
x + 2n = 12
x = 4n

4n + 2n =12
6n = 12 /:6
n = 2
x=4*2
x=8


Now we can solve for the amount for each customer.
Robbie=x = 8
Cameron=x+n = 8 + 2 = 10
Louis=x+n+n = 8 + 2 + 2 = 12
Tom=x+n+n+n = 8 + 2 + 2 + 2 = 14
Charlie=x+n+n+n+n = 8 + 2 + 2 + 2 + 2 = 16
7 0
3 years ago
What is f(-5) if f(x) equals |2x-1|+10?
xxTIMURxx [149]
|2(-5) - 1| + 10
|-10-1| + 10
|-11| + 10
11 + 10
21 is your answer

Hope this helped!
8 0
4 years ago
Read 2 more answers
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