Answer:
ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
Step-by-step explanation:
Here, assume such number = m
Now, given :
3 times the number = 3 x ( m) = 3 m
8 less than the given number = m - 8
Now, according to the question:
3 times the number > 8 less than the given number
or, 3 m > m - 8
or, 3m - m > m - 8 + m
or, 2 m > - 8
or, m > - 4
Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
When 1 is divided into 8 pieces, each piece is 1/8 of the whole.
Answer:
C)
Step-by-step explanation:
A magician never tells there secret
Answer:
x =7
Step-by-step explanation:
Solve for x:
5 x - 10 + 65 = 90
Add like terms. 65 - 10 = 55:
5 x + 55 = 90
Subtract 55 from both sides:
5 x + (55 - 55) = 90 - 55
55 - 55 = 0:
5 x = 90 - 55
90 - 55 = 35:
5 x = 35
Divide both sides of 5 x = 35 by 5:
(5 x)/5 = 35/5
5/5 = 1:
x = 35/5
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
Answer: x = 7
Answer:
13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem
where<em> a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.
We know that the legs are 5 and 12. We also know the hypotenuse is x, or unknown.
Substitute 5 in for <em>a</em>, 12 for <em>b, </em>and x for <em>c.</em>
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Evaluate the exponents.
5^2 is the same as 5*5, which is 25.
12^2 is the same as 12*12, which is 144.
Add 25 and 144
We are trying to find out what <em>x</em> is. In order to do this, we have to get <em>x</em> alone. Since x is being squared, take the square root of both sides. The exponent and square root will cancel, leaving x by itself.
The hypotenuse is 13.