10. 8 divided by 4 is 2 times 2 is 4 8 plus 6 minus 4 is 10
Answer:
10cm
Step-by-step explanation:
The formula for perimeter is:

Let the width of the rectangle be x then the length would be...
3+x
Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):

And since the length is x+3 then it is...
x+3=7+3=10cm
Answer:
Your answer is C.
Step-by-step explanation:
Answer:6.25 pounds left
Step-by-step explanation: 3 x 1 1/4= 3.75 pounds gone so if you add 6.25 pounds more you are at 10 pounds so
Sum/difference:
Let

This means that

Now, assume that
is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that
was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get

if again we assume x to be rational, we have

But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.