pokemonfan58

The answer to "-6 + 9 * -1 - 4 * 4" would be -31.

To solve "-6 + 9 * -1 - 4 * 4" the first thing to do would be to multiply wherever there is a multiplication sign so that we can then add the remaining numbers together. Adding before multiplying would not follow the order of operations and would give us a completely different answer!

We can see that there are two multiplication signs in the equation and thus we need to multiply two pairs of numbers together:

-6 + 9 * -1 - 4 * 4

Let's start with "9 * -1":

9 * -1 = -9

Now for "4 * 4":

4 * 4 = 16

Now we can plug -9 and 16 back into the equation in place of the original pairs of numbers:

-6 + -9 - 16

Now all we have to do is add and subtract from the left to the right side of the equation. We can start this by finding "-6 + -9":

-6 + -9 = -15

Because both -6 and -9 are negative values, we can add them as if they were positive numbers, but we need to remember to place a "-" sign at the end of our answer.

Now to plug -15 back into the equation:

-15 - 16

Our final step to solving this equation is to subtract 16 from -15. Keep in mind that subtracting one number from another is the same as adding the negative value of that first number to the second number. In other words:

-15 - 16 = -15 + -16

We can just add -15 and -16 just (as we did with -6 and -9) to obtain a final answer of -31. Thus, our answer to the equation would be -31.

I hope I helped.

-pokemonfan58

The answer to "(2 - 3)^2 - (4^2 - 3^2)" would be -6.

To solve "(2 - 3)^2 - (4^2 - 3^2)", we should start by simplifying everything in the parantheses. That way all of the numbers in the parantheses will be simplified into just one simple value.

Let's start with "(2 - 3)". We can subtract 2 and 3 easily, like so:

2 - 3 = -1

Remember that since 3 is being subtracted from 2, we would not have 1, but we would instead have -1 because 3 is greater than 2.

Now we have a number that we can plug into our equation in place of "(2 - 3)":

-1^2 - (4^2 - 3^2)

Now let's simplify "(4^2 - 3^2)". Here we need to find the squares of 4 and 3 and then subtract them. We can multiply the numbers by themselves to obtain:

4 * 4 = 16

and:

3 * 3 = 9

So now we can replace "4^2" with 16 and "3^2" with 9:

(16 - 9)

And from here we can easily subtract 9 from 16:

16 - 9 = 7

Now we can plug 7 into our original equation just as we did with -1:

-1^2 - 7

Next, we need to find "-1^2" so that we can subtract 7 from that to obtain our answer:

-1 * -1 = 1

Note that -1 * -1 would not be -1, because multiplying a negative number by a negative number will always give a positive number.

Now we can plug in 1 for "-1^2" to obtain "1 - 7". The final step is to subtract 7 from 1, giving:

1 - 7 = -6

So our answer is -6. I hope I helped.

-pokemonfan58

The answer to 65000 divided by 10% would be 650,000.

To find 65000 divided by 10%, we need to convert 10% into a decimal. To do this we can simply divide the percentage by 100, like so:

10 / 100 = 1 / 10 = 0.1

So now our equation is 65000 divided by 0.1. We can divide the two easily:

65000 / 0.1 = 650000

Thus, our answer would be 650,000.

-pokemonfan58

The sum of 1/6 and 1/7 would be 13/42, or, if you wanted the answer in decimal form rounded to the nearest hundredth, it would be about 0.31.

To find the sum of 1/6 and 1/7, we cannot simply add the numerators together and maintain the same denominator. This is because 1/6 and 1/7 have different denominators, so we don't know which denominator to maintain!

To fix this we need to find a number that is divisible by both 6 and 7. One easy way to do this is to multiply the two numbers together:

6 x 7 = 42

If we were to change the denominator to 42 for each fraction, we could add the numerators together and maintain a denominator of 42. However, this means we must change the numerator of each fraction along with its denominator.

Let's start with 1/6. We can multiply 6 by 7 to obtain 42, but this means we also have to multiply 1 by 7 to keep the fraction proportionate. If the fraction does not maintain the same proportion, it will be a completely different fraction!

We know that 1 x 7 = 7, so it is safe to say that 1/6 is equal to 7/42.

We can apply the same logic to 1/7. Since 7 x 6 is 42 we need to multiply 1 by 6 along with 7. Note: you cannot multiply each number by 7 this time, because 7 x 7 would be 49, not 42. In multiplying the numerator and denominator by 6 we know that 1/7 = 6/42.

Now we have an equation of:

6/42 + 7/42

Now we can add it as we would normally by adding the numerators and keeping the denominator to get:

6/42 + 7/42 = 13/42

If you needed the answer in decimal form it would be about 0.3095238095, or 0.31 rounded to the nearest hundredth.

I hope this helped.

-pokemonfan58

It cannot be understood what exactly you mean by "(34-6)! 6!", as you have not suggested an operator for combining the values "(34-6)!" and "6!". Therefore the equation currently cannot be solved.

Anonymous: "Sorry 6,6,12,35,38,66,104."

This was very difficult, but I finally got it after so long!

( -104 + 66 + 35 + (6/6) ) * 12 * 38

If I could contribute a puzzle?

The numbers are 2 6 17 21 23 85 and the Magic Number is 815. :mrgreen:

15% of 32 would be 4.8.

To calculate the percentage of a number, you need to convert 15% into a decimal by dividing the number by 100, like so:

15 / 100 = 0.15

(Dividing a number by 100 is the same as moving its decimal place two places to the left, so something like 15.5 divided by 100 would be 0.155.)

Now we can multiply our decimal by the total amount, which is 32:

0.15 * 32 = 4.8

I hope this helped.

-pokemonfan58

The polynomial degree of 4x^8+2x-13 is 8.

To find the polynomial degree of an expression with one variable, you must find the greatest exponent of that particular variable. In the case of "4x^8+2x-13", "4x^8" has the greatest exponent of 8. Therefore, the degree of the polynomial would be 8.

I hope I helped.

-pokemonfan58

If 5(x) - 17 = -(x) + 7, then x is equal to 4.

To find the variable "x", we need to isolate the variable on one side of the equation so that the answer can be displayed on the other side. To do this, we need to cancel out (or turn into 0) either "5(x)" or "-(x)" by adding a certain amount to both sides of the equation to make one 0. Let's try "-(x)" because it's closer to 0 than "5(x)" is. To cancel it out, we can add "x" to both sides like so:

5(x) + x - 17 = -(x) + x + 7

If we add "5(x)" and "x" we will obtain "6(x)", and if we add "-(x)" and "(x)" we will have 0:

6(x) - 17 = 0 + 7

We also know that any number added to 0 will give that number, so we can simplify "0 + 7" like so:

6(x) - 17 = 7

However, "x" is not the only value on its side of the equation, so next we can try to cancel the "- 17" by adding, not subtracting 17 to each side of the equation. If we were to subtract 17 from negative 17, we would end up with negative 34, not 0. We can manage this like so:

6(x) - 17 + 17 = 7 + 17

Now we can simplify "- 17 + 17" to obtain 0:

6(x) - 0 = 7 + 17

Next we can simplify "6(x) - 0" to get "6(x)" and "7+17" to get 24:

6(x) = 24

Finally, we must make "6(x)" into "x" by dividing each side by 6. This will eliminate that pesky "6" before the "x" so that we can see the answer:

6(x) / 6 = 24 / 6

Dividing "6(x) / 6" will give us "x" and dividing 24 by 6 will give us 4, so:

x = 4

I hope this helped.

-pokemonfan58

I'm afraid I don't know exactly what you mean, but I assume you mean a shape that overlaps another shape like so:

To find the combined area of a shape and another shape that is overlapping it, you must ensure that you can find the area of both the two shapes and the the area that the two shapes overlap. In the case in the picture, we can find the area of the red and blue rectangles, along with the purple area in between them.

The formula for finding the area of a rectangle is "a = l * w" where "a" is the area, "l" is the length, and "w" is the width. Using this, we can the find the area of the red rectangle by plugging in 7 for length and 3 for width:

a = 7 * 3

or...

a = 21

Using the very same method, we can find the area of the blue rectangle using 6 as length and 4 as width:

a = 6 * 4

or...

a = 24

Finally, we can find the area of the purple rectangle (the area overlapped by the two rectangles) using 2 as length and 1 as width:

a = 2 * 1 

or...

a = 2

Now that we know this, we can add the area of the two rectangles to get:

24 + 21 = 45

However, since the shapes overlap, we need to subtract the overlapping area to get:

45 - 2 = 43

Thus, the combined area of these two rectangles is 43. I hope I helped.

-pokemonfan58

To solve non-linear simultaneous equations, you must find the point at which they overlap. This can be done by finding the "x" and "y" values that apply to both equations.

Let's assume we have the following two simulatenous equations:

y = 3x

y = x + 12

We know that in each of these equations both "3x" (the same as 3 multiplied by x) and "x + 12" are equal to the variable of "y". Since the two equations are simultaneous, or occuring on the same graph, 3x and x + 12 must be equal. Thus, we can safely infer that:

3x = x + 12

Now we can simplify this equation using algebra. We can start by subtracting x from both sides to cancel out the "x" on the right side:

3x - x = x - x + 12

We can see that on the right side of the equation, "x - x" can be simplified to equal 0, so we can cancel that out to get:

3x - x = 0 + 12

or...

3x - x = 12

Also, we can simplify "3x - x" to give an  answer of "2x":

2x = 12

To simplify what we have now, we can divide each side by 2:

2x / 2 = 12 / 2

We can see that "2x / 2" is equal to "x" and that "12 / 2" is equal to 6, so we have a final answer of:

x = 6

Now that we know "x", all we have to do is find "y". This is really easy: we can just plug it into one of our first equations: "y = 3x" or "y = x+12". We'll do "y = 3x" for the sake of simplicity:

y = 3(6)

We can simplify "3(6)" by multiplying 3 and 6 to obtain an answer of 18, giving us our answer for "y":

y = 18

Points on a graph are shown as (x,y), so through using algebraic methods, we were able to find that the two equations intersect at the point (6,18).