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qwelly [4]
3 years ago
11

The capsules and montage families love writing. Last year,each capsule wrote 4 essays, each montage wrote 6 essays, and both fam

ilies wrote 100 essays in total. This year the calumet weote 8 essays each montage wrote 12 essays and both families wrote 200 essays total. How many capsule ya and montages are there?
Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer:

bbbbbb

bbbbStep-by-step explanation:

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Find the slope and the y-intercept for y=-5x
aleksley [76]
Slope= -5
Y-intercept= 0
4 0
3 years ago
What are the values for matrix A?: 1 2 3 4 1 3 4 5 6 7 8 Noo 4 1 0 0 9 6 7 8 10 12 14 15 16 13 14 14 15 16​
Gala2k [10]
Since the values are the same on both sides the matrix value is a=1
7 0
3 years ago
How many of the numbers from 10 through 92 have the sum of their digits equal to a perfect​ square?
horrorfan [7]
All the numbers in this range can be written as 10d_1+d_0 with d_1\in\{1,2,\ldots,9\} and d_2\in\{0,1,\ldots,9\}. Construct a table like so (see attached; apparently the environment for constructing tables isn't supported on this site...)

so that each entry in the table corresponds to the sum of the tens digit (row) and the ones digit (column). Now, you want to find the numbers whose digits add to perfect squares, which occurs when the sum of the digits is either of 1, 4, 9, or 16. You'll notice that this happens along some diagonals.

For each number that occupies an entire diagonal in the table, it's easy to see that that number n shows up n times in the table, so there is one instance of 1, four of 4, and nine of 9. Meanwhile, 16 shows up only twice due to the constraints of the table.

So there are 16 instances of two digit numbers between 10 and 92 whose digits add to perfect squares.

7 0
3 years ago
Prove that sin20sin40sin60sin80=3/16
never [62]
We'll use the following properties of sine and cosine to prove this:

sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))

cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))

cos(180+a) = cos(180-a)

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 -  cos160 - cos120 + cos200) =

1/8(1 -  cos160 - cos120 + cos160) =

1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16

5 0
3 years ago
6 is added a number x.then the result is multiplied by 9. the final answer is greater than 99
drek231 [11]

So this inequality is going to be written as 9(x + 6) > 99


Firstly, you want to foil 9(x + 6), which will look like this: 9x + 54 > 99


Next, subtract 54 on both sides of the equation: 9x > 45


Lastly, divide both sides by 9, and your answer will be x > 5

6 0
3 years ago
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