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lana66690 [7]
2 years ago
12

!!HELP!! !!PLS!!

Mathematics
2 answers:
creativ13 [48]2 years ago
8 0

First part

   6x +  blank  = 10\\blank = 10 - 6x

 Thus the first part's blank should be filled in with 4x

Second part

   6x-(blank)= 4x -10\\-(blank) =4x - 10 - 6x\\-(blank) = -2x -10\\blank = 2x + 10

Thus the second part's blank should be filled in with 2x + 10

Hope that helps!

Gala2k [10]2 years ago
4 0
Fist part 4x


Second part 2x+10
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Each interior angle of a regular hexagon is 4x+24°. What is x?
Oduvanchick [21]
Each interior angle of a regular hexagon is 120°.
.. 4x +24° = 120°
.. 4x = 96° . . . . . . . subtract 24°
.. x = 24° . . . . . . . . divide by 4
7 0
3 years ago
Add 2x4 - 6x3 + 5x to the difference between 9x3 + 8x2 - 2 and 4x4 - 2x2 + 8x - 5.
DedPeter [7]

Simplify (x3 +  3x2 + 5x – 4) –  (3x3 – 8x2 – 5x + 6)

The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.

Here's what the subtraction looks like, when working horizontally:

(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)

(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)

x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6

x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6

–2x3 + 11x2 + 10x –10

And here's what the subtraction looks like, when going vertically:

x

3

−(3x

3

​

 

+3x

2

−8x

2

​

 

+5x

−5x

​

 

−4

+6)

​

​

In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".

\

x

3

–3x

3

−2x

3

​

 

+3x

2

+8x

2

+11x

2

​

 

+5x

+5x

+10x

​

 

−4

–6

−10

​

​

Either way, I get the answer:

–2x3 + 11x2 + 10x – 10

4 0
3 years ago
One weekend, 600 tickets were sold to a carnival for a total of $2400. If an adult's ticket costs $6 and a child's ticket costs
erastovalidia [21]

Answer:

adults : 0  children: 600

Step-by-step explanation:

x + y = 600

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4×(x + y = 600) = 4x+4y = 2400

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so y=600

8 0
2 years ago
here are several types of objects. For each type of object, estimate how many there are in a stack that is 5 feet high. Be prepa
lorasvet [3.4K]

We need to estimate how tall is, on average, one of these object, and then count how many would be in a 5 feet high stack.

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So, if we set the equation

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Similarly, we can see that the average book is 9 inches tall. 9 inches are 0.75

feet, so we have

0.75k=5 \iff k=6.\bar{6}

So, there would be between 6 and 7 books in a 5 feet tall stack.

The average brick is 75 millimeters tall, which means 0.25 feet tall. Again, we have

0.25k=5 \iff k=20

So, there would be 20 bricks in a 5 feet tall stack.

Finally, a coin is about 0.006 feet, which leads to

0.006k=5 \iff k=833.\bar{3}

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5 0
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In two years tom will become 10 years old
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