Answer:
x = 10
Step-by-step explanation:
You know z = x+4, so ...
3z -x/2 = 37 . . . . . . . . the given relation
3(x +4) -x/2 = 37 . . . . substituting for z
5/2x +12 = 37 . . . . . . .eliminate parentheses and simplify
5/2x = 25 . . . . . . . . . . subtract 12
x = 10 . . . . . . . . . . . . . multiply by 2/5
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<em>Check</em>
3z = 3·14 = 42
x/2 = 10/2 = 5
42 exceeds 5 by 37 . . . . true
Answer:
1. No
2. yes
3. yes
4. yes
Step-by-step explanation:
1. 2×3=6, 7×3=21 (The product of two (or more) prime numbers cannot result in another prime number. By definition, a prime number is a number that is divisible by 1 or itself - multiplying two or more primes together will always yield a number divisible by 1, itself and the prime numbers multiplied together to achieve it.
2.When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
3. 1×3=3, 3×5=15 (odd numbers are not divisible by 2)Therefore, every prime number other than 2 is an odd number
4. 2×4=8, 6×8=48
Given:
Area of the circle : 36 ft²
Area of the square : 3 6ft²
Circle:
A = π r²
36 ft² = 3.14 * r²
36 ft² / 3.14 = r²
11.46 = r²
√11.46 = r
3.39 = r diameter = 2 * r = 2 * 3.39 = 6.78 ft
Square:
A = a²
36 ft² = a²
√36 ft² = a
6 ft = a
6.78 ft - 6 ft = 0.78 ft ⇒ the table is sticking out from the glass
Diagonal of a square:
d = √ 6² + 6²
d = √ 36 + 36
d = √ 72
d = 8.49 ft
8.49 ft - 6.78 ft = 1.71 ft ⇒ the glass is sticking out from the table