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Alex Ar [27]
3 years ago
5

Courtney has 27 chocolate chip cookies and 36 oatmeal raisin cookies. She needs to arrange them on trays. She doesn't want to co

mbine either type of cookies and she wants the same number on each tray. What is the largest number of cookies she can have on each tray?
Probably the easiest question but I don't get it can someone give me a strategy to use or explain how to solve
Mathematics
1 answer:
Wittaler [7]3 years ago
7 0
Well since she's trying to get 2 trays of equal cookies you subtract like how much does 27 go into 36 once so that's how much on each tray 27
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Using the Extended Euclidean Algorithm, find integers x and y such that 26x + 9y = 1.
Xelga [282]

Answer:

The solution is: x=-1 and y=3.

Step-by-step explanation:

Let's find the solution, but first let's remember the following:

A / B = C + R where:

A=dividend, B=divisor, C=quotient, and R=remainder. This can be express as follows:

A = (C * B) + R, which is the structure we are going to use next.

Using the Euclidian Algorithm we need to find the highst common factor (HCF) between the coefficients from your equation, this means:

The original equation: 26x+9y=1 is in the form Ax+By=C, so A=26, B=9 and C=1.

We need to find the HCF of 'A' and 'B'. Using the Euclidan Algorithm (EA), so we have:

A = (C * B) + R, using our values:

26 = (2 * 9) + 8, look that the divisor (B) is 9 and the remainder (R) is 8.

Now using the (EA) we divide the divisor (B=9) by the obtained remainder (R=8). And we do the same for each obtained result until the las remainder (R) is equal to 0, like this:

A = (C * B) + R

9 = (8 * 1) + 1

using the divisor (B=8) and the remainder (R=1) we obtain:

A = (C * B) + R

8 = (1 * 8) + 0, look that the remainder is now 0, so in summary we can use the method as follows:

26 = (2 * 9) + 8

9 = (8 * 1) + 1

8 = (1 * 8) + 0; and this equations are the ones we are going to use in order to find a solution.

Next step is to use the equation before R=0, so:

9 = (8 * 1) + 1, which is:

9 - (8 * 1) = 1; but if you consider the first obtained equation: 26 = (2 * 9) + 8, we can write:

26 - (2 * 9) = 8, and we can use this expression in the previous one, so:

9 - (8 * 1) = 1, is:

9 - ((26 - (2 * 9)) * 1) = 1, simplifying:

9 - 26 + (2*9) = 1

9 - 26 + (9 + 9) = 1

-26 + (9 + 9 + 9) = 1

-26 + (3 * 9) = 1

26*(-1) + 9*(3) = 1; if you compare the last expression with the original equation, which is: 26x+9y=1, you can see the similarity, where x=-1 and y=3.

So, the solution is: x=-1 and y=3.

8 0
3 years ago
6,859^1/3 can be written as
zloy xaker [14]

Answer:

∛6859   ( = 19).

Step-by-step explanation:

6,859^1/3 = ∛6859  (the cube root of 6859).

Using a calculator we see that this = 19.

4 0
3 years ago
Luke hiked 6 1/4 miles. Joana hiked 2 1/ 5 times as far. how far did joana hike?​
mel-nik [20]

Answer:

13.75 or 13 3/4

Step-by-step explanation:

7 0
3 years ago
Gabriella is x years old. Her sister, Felicia, is six years older than she is. Their mother is twice as old as Felicia. Their au
Yuri [45]
G = x
Felicia is Gabriella's age + 6
F = x + 6
Their mother is twice Felicia's age
M = 2(x + 6)  or  2x + 12
Tanya is the age of their mother plus Gabriella's age
A = 2x + 12 + x = 3x + 12
3x + 12
7 0
3 years ago
In the isosceles trapezoid LMNO, find the value of x.
zmey [24]

Answer:

15 would be the correct answrr

7 0
3 years ago
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