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kenny6666 [7]
3 years ago
12

How is everyone's day going? Mine is okay can u help me on this question?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0

Answer:

x = 2 and y = 7

Step-by-step explanation:

We are given two equations:

1.      8x + y = 23

2. −10x  - y = −27

By adding both equations with each other we get:

(1.+2.) -2x = -4

Which can be reduced to:

(1.+2. : (-2)) x = 2

We can insert x in Equation 1. (or 2) and get:

8*2 + y = 23

16 + y = 23         [-16 on both sides]

y = 7

Resulting in x = 2 and y = 7 as a possible solution for this system.

ludmilkaskok [199]3 years ago
4 0

Answer:

Step-by-step explanation:

8x + y = 23

-10x - y = -27

-2x = -4

x = 2

8(2) + y = 23

16 + y = 23

y = 7

(2, 7)

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Find the number of ways of arranging the numbers
Doss [256]

First of all, note that all integers are either 0,1, or 2 modulo 3 (if you're not familiar with this terminology, it means that every integer is either a multiple of 3, or it is 1 or 2 away from a multiple of 3).

So, we can think of our numbers as

\begin{array}{c|c}x&x\mod 3\\0&0\\1&1\\2&2\\3&0\\4&1\\5&2\\6&0\\7&1\\8&2\\9&0\end{array}

In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.

For example, we could arrange our numbers following the pattern

0,1,2,0,1,2,0,1,2

or

2,0,1,2,0,1,2,0,1

We have 3!=6 possible patterns. Suppose for example that we choose the pattern

0,1,2,0,1,2,0,1,2

One possible way of following this pattern would be the arrangement

3,1,2,6,4,5,9,7,8

In fact, we substituted every '0' with a multiple of 3 (3, 6 or 9), every '1' with a number 1 away from a multiple of 3 (1, 4 or 7) and every '2' with a number 2 away from a multiple of 3 (2, 5 or 8).

This means that, once we fix a patter, we have 3 choices for the first 3 slots, 2 choices for the next 3 slots, and the final slot will be fixed. So, we have

3\cdot 3\cdot 3\cdot 2 \cdot 2 \cdot 2 = 216

possible ways of following a fixed pattern. Since the number of patterns was 6, we have

216\cdot 6 = 1296

possible arrangements.

7 0
3 years ago
Read 2 more answers
Please help quickly !!
Nataly_w [17]

Answer:

16.5x == 465.3

Step-by-step explanation:

To find the rate , take the number of miles and divide by the gallons

rate = 465.3 / 16.5

Let the rate be x

x = 465.3 / 16.5

Multiply each side by 16.5

16.5x =  465.3

6 0
2 years ago
10m radius. What is the area of the circle? Round your answer to the nearest tenth.
Evgen [1.6K]

Answer:

D

Step-by-step explanation:

The area of a circle can be found using:

a=πr^2

We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.

a=π*10^2

Evaluate the exponent

a=π*100

Multiply pi and 100

a=314.159265359

Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.

a=314.2

The area is 314.2 square meters, or choice D

7 0
3 years ago
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The difference between 13 and a number k in algebraic expression?
viva [34]
13-k

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8 0
3 years ago
Arun has apples and oranges in the ratio 5:3. Convert the ratio of apples and oranges to the total fruits in fraction form and p
Korvikt [17]

Answer:

Apples: 5/8 or 62.5%

Oranges: 3/8 or 37.5%

Step-by-step explanation:

You would figure this out because Aran has 5 apples and 3 oranges and if you’re trying to find the percentage to total number of fruits you have, it would be 5 apples/ 8 fruits and 3 oranges/ 8 fruits.

Hope this helped :)

3 0
3 years ago
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