The irrational numbers are √10,√27,√99.
Factors of 84: 1, 2<span>, </span>3<span>, 4, 6, </span>7<span>, 12, </span>14<span>, </span>21<span>, </span>28<span>, </span>42<span>, 84. Prime factorization: 84 = </span>2<span> x </span>2<span> x </span>3<span>x </span>7<span> which can also be written (</span>2^2<span>) x </span>3<span> x </span>7<span>.</span>
Answer:
x = 2 and y = 3
Step-by-step explanation:
We have
x+2y = 8 -----equation (i)
2x-y = 1 -----equation (ii)
Now,
x+2y = 8
or, x = 8-2y ------equation (iii)
Again,
2x-y = 1
or, 2x = 1+y
or, 2x-1 = y
Putting the value of 'x' from equation (iii)
or, 2(8-2y)-1 = y
or, 16-4y-1 = y
or, 16-1 = y+4y
or, 15 = 5y
or, y = 15/5
or, y = 3
Putting the value of 'y' in equation (iii)
x = 8-2y
or, x = 8-(2×3)
or, x = 8-6
or, x = 2
Therefore, x = 2 and y = 3.
Answer: 112 inches.
Step-by-step explanation:
You know that the width of the rectangular piece of wood is 4 inches and the width of the strip ribbon is 1/4 inches.
Then, let be "n" the number of strips ribbon that Laura needs to cover the width of the rectangular piece of wood (Assuming that she will cover the wood in the form shown in the figure attached). This is:

To find the lenght of ribbon that Laura needs to conver the wood, you must multiply the number of strips ribbon "n" by the lenght of the rectangular piece of wood, then you get:

The simpliest form is 71/10, the fraction
Step-by-step explanation:
Since this isn't a really small (1/1000000000) or really big (like the radius of the earth) number you don't need the standard notation, so the fraction 71/10 is the simpliest because there is only a decimal, so it can be a fraction of ten.