ASVAB Math Knowledge Quiz

The smallest prime number greater than 100 is 101. A prime number is a whole number greater than 1 that is only divisible by 1 and itself.

To solve for X in the equation 40% = X/30, we can convert 40% to a fraction (40/100) and cross-multiply. This gives us 40 * 30 = 100 * X. Simplifying this equation, we get 1200 = 100X. Dividing both sides by 100 gives us X = 12.

Subtracting -3X^2 - 5X + 1 from 8X^2 - 2X - 9 involves changing the signs of each term in the expression being subtracted and then combining like terms. This results in 8X^2 - 2X - 9 + 3X^2 +5X - 1 = 11X^2 +3X - 10. However, the provided answer is incorrect. It should be 11X^2 + 3X -10.

5 factorial (5!) means 5 * 4 * 3 * 2 * 1, which equals 120.

To solve for X in the equation 8X - 2 - 5X = 8, first combine like terms on the left side: 3X - 2 = 8. Then, add 2 to both sides to get 3X = 10. Finally, divide both sides by 3 to isolate X: X = 10/3 or 3 1/3.

The perimeter of a rectangle is the total length of all its sides. It's calculated using the formula: Perimeter = 2 * (length + width). Let 'w' represent the width. The length is 3 inches more than the width, so it is 'w + 3'. We can write the equation as: 38 = 2 * (w + 3 + w). Simplifying the equation, we get 38 = 4w + 6. Subtracting 6 from both sides gives us 32 = 4w. Finally, dividing both sides by 4 gives us w = 8. Therefore, the width of the rectangle is 8 inches.

The square root of 85 is approximately 9.2. This means 9.2*9.2 is approximately equal to 85.

To find the product of (A - 5) and (A + 3), we need to expand the expression using the distributive property (also known as FOIL). This means multiplying each term in the first expression by each term in the second expression. (A - 5) * (A + 3) = A*(A) + A*(3) + (-5)(A) + (-5)(3). Combining like terms, we get A^2 + 3A - 5A - 15 = A^2 - 2A - 15.

The equation 5^11 = 5^2 x 5^m uses the rule of exponents that says a^m * a^n = a^(m+n). By applying this rule, we can rewrite the equation as 5^11 = 5^(2+m). Since the bases are equal, we equate the exponents, so 11 = 2 + m. Subtracting 2 from both sides gives us m = 9.

If one plant needs 2 liters of water per day, over 13 days it will need 2 * 13 = 26 liters of water.

In a parallelogram, opposite angles are equal. Therefore, if one angle is 25 degrees, the angle opposite to it must also be 25 degrees.

The area of a right triangle is calculated as (1/2) * base * height. In an isosceles right triangle, the two legs are equal. So, the base and height are both 4 cm. Area = (1/2) * 4 cm * 4 cm = 8 cm^2.

To find the number that 25% represents, we can set up a proportion: 25/100 = 8/x. Cross-multiplying, we get 25x = 800. Dividing both sides by 25, we find x = 32.

The area of a square is calculated by sideside. Since the area of each square is 25, the side of each square is the square root of 25, which is 5. The original rectangle was composed of two of these squares. This means the length of the rectangle is 5 + 5 = 10, and the width is 5. Therefore, the perimeter of the original rectangle is 2(10+5) = 30.

If a woman starts with Z dollars and spends $500, she is left with Z - 500 dollars.