How would you work out this equation? 4x+3y=-23 -2x-3y=25

A board is 2/3 yard long. Jeremy cuts the board into 6 equal pieces. How long is each cut piece?

r-ruslan [8.4K]

Answer:

1/9 yd.

Step-by-step explanation:

2/3 /6= 2/3 /6/1 = 2/3 x 1/6= 2/18=1/9

3 0

2 years ago

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Nell's mortgage is $50,150 at 10 percent for 30 years.

Rasek [7]

Answer:

The correct option is a.

Step-by-step explanation:

It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.

EMI on $1000 is $8.78, so EMI on $1 is

EMI on $1 = 8.78/1000 = 0.00878

EMI on $50150 is

EMI on $50150 = 0.00878 x 50150 = 440.317 = 440.32

Therefore the correct option is a.

Hope this help you! ^_^

7 0

2 years ago

Here’s another one guys please and thank you

coldgirl [10]

Answer: A. top 0 bottom 6 b. top 0 bottom 0

Step-by-step explanation:

7 0

2 years ago

Suppose we write the numbers $1,2,3,4,5,6$, and then color each number red or blue. The coloring is called factorific if there i

Oxana [17]

Answer:

The probability that his coloring is factorific is 0.28125

Step-by-step explanation:

For calculate the probability is necessary to identify the total number of ways to color the six number. This can be calculate with the rule of multiplication as:

2*2*2*2*2*2=64

Because we have 2 options to color every number.

For know the number of ways in which the coloring is factorific, first we need to identify the divisors of each number:

1: the divisor is 1

2: The divisors are 2 and 1

3: The divisors are 3 and 1

4: The divisors are 4, 2 and 1

5: The divisors are 5 and 1

6: The divisors are 6, 3 and 1

From these information we analyse that for made a factorific coloring, is necessary that the number 1 is color blue. Additionally if the number 4 is color blue, the number 2 needs to be color blue and if the number 6 is blue, the number 3 needs to be blue.

So, the number of ways in which we can create a factorfic number is determined by the following cases:

The number 2 is blue and the number 3 is blue: In this case we have 1 option for number 1, one for number 2 and 1 for number 3. Taking into account that the number 2 and 3 are blue, if the number 4 and 6 are blue or red doesn't change the fact that the coloring is going to be factorific. So, we have two options for number 3 and 2 options for number 6. Finally the color of the number 5 is independent of the colors of number 2 and 3, so we also have 2 options for coloring number 5 and the coloring is going to be factorific. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 2 * 2 * 2 = 8

number 1 number 2 number 3 number 4 number 5 number 6

At the same way we can calculate the following cases:

The number 2 is blue and the number 3 is red: If the number 3 is red, the coloring is only going to be factorific is number 6 is red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 2 * 2 * 1 = 4

number 1 number 2 number 3 number 4 number 5 number 6

The number 2 is red and the number 3 is red: If the number 2 and 3 are red, the coloring is only going to be factorific is number 4 and 6 are red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 1 * 2 * 1 = 2

number 1 number 2 number 3 number 4 number 5 number 6

The number 2 is red and the number 3 is blue: If the number 2 is red, the coloring is only going to be factorific is number 4 is red. Then the number of ways for this situation is calculate as:

1 * 1 * 1 * 1 * 2 * 2 = 4

number 1 number 2 number 3 number 4 number 5 number 6

If we sum all the cases, we obtain 18 ways to make a factorific coloring. So the probability can be calculated as:

$P= \frac{18}{64} = 0.28125$

4 0

2 years ago

Is 10.75 a rational or an irrational number?

dmitriy555 [2]

10.75 is a rational number because it does not have a repeating decimal.

5 0

2 years ago

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