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uysha [10]
3 years ago
5

Please help with this question.

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

7/1000

Step-by-step explanation:

1 m = 1000 mm

Therefore,

Scale factor = 7/1000

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The sum of 6 consecutive even number is 126. what is the fourth number in the sequence
bulgar [2K]

let's start off by keeping in mind that, if you multiply any integer by 2, regardless of what that integer is, you will always get an EVEN integer, say 13 * 2 = 26, or 18 * 2 = 36 and so on.

let' see a few consecutive even integers

2, 4, 6, 8, 10, 12 , 14..............

notice, to get another one from any of them, we can simply hop back or forwards twice, namely  8 ± 2, gives us 6 and 10.

so let's use for our first even integer say "2a".

that simply means our next even integer can just be 2a + 2

and we add 2 again and so on to get all 6 even integers.

now, we know they add sum up to 126.


\bf \stackrel{1st}{(2a)}+\stackrel{2nd}{(2a+2)}+\stackrel{3rd}{(2a+4)}+\stackrel{4th}{(2a+6)}+\stackrel{5th}{(2a+8)}+\stackrel{6th}{(2a+10)}~~=~~126
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
12a+30=126\implies 12a=96\implies a=\cfrac{96}{12}\implies \boxed{a=8}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\stackrel{4th}{2(8)+6}\implies 22

5 0
3 years ago
What is the area of the rectangle with the given dimensions? *
exis [7]

Given:

The dimensions of a rectangle are 2x-5 and 3x+3.

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

Area=Length\times Width

The dimensions of a rectangle are 2x-5 and 3x+3. So, the area of the given rectangle is:

Area=(2x-5)\times (3x+3)

Area=2x(3x)+2x(3)-5(3x)-5(3)

Area=6x^2+6x-15x-15

Area=6x^2-9x-15

Therefore, the correct option is F, i.e., 6x^2-9x-15.

4 0
3 years ago
Solve for y.<br> 3x-4y=6<br> Explain please!
Snezhnost [94]
So 3x=6+4y
divide both of the equations by 3
x=2+4y÷3
x=2+4/3 y
your answer
x=2+4/3 y hope this will help

5 0
3 years ago
a boat is traveling at an average speed of 15 meters per second. how many kilometers per minute is the boat traveling?
lukranit [14]
We know that 1 meter is 0.001 km and that 1 minute is 60 seconds.
To transform 15m/s we into km/min we have to multiply 15 by 0.001 and multiply it by 60.
15*0.001*60=0.0015*60=0.09 km/min  - its the answer
4 0
3 years ago
Read 2 more answers
If you flip a coin and roll a 6 sided dice what is the probability that you will flip a heads and roll a 5
Bogdan [553]

Answer:

1/12

Step-by-step explanation:

since there are 6 sides on a die, there is a 1/6 chance of any given number being rolled. And coins have a 1/2 chance of being heads.

1/2x1/6 = 1/12

4 0
2 years ago
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