How many different combinations of shirts and ties are possible if you have 4 shirts and 5 ties?
Answer(s): D
With each of the 4 shirts you can wear one of the 5 ties, so the total number of combinations is 4 × 5 = 20
What is the value of (+2)( -5x + 3)( -3)?
Answer(s): A
To find the product of more than two numbers, work on only two numbers at a time. If both of these numbers have plus signs (+), their product has a plus sign, to both have minus signs (-), their product has a plus (not a minus) sign. Bui if their signs are different, the product has a minus sign.(+2) (-5) (+3) (-3)= (-10) (+3) (-3)= (-30) (-3)= +90
Solve for x:x2 = 3x + 10.
Answer(s): C
To solve the equation x2 = 3x + 10, turn it into an equation equal to 0, find the two factors of the new equation, and then set each factor equal to 0, to solve for x.Step 1: Move all expressions to one side of the equal sign. Change the signs of terms that are moved.x2 - 3x - 10 = 0Step 2: Find the two factors that you would multiply to produce this polynomial. Do this one expression at a time. What gives you x2? The answer is x times x. Therefore, place an x at the beginning of each factor.(x)(x)Next find the two numbers you would multiply to get 10. The numbers could be 10 and 1, or 5 and 2, but remember that the two numbers also have to produce 3, the middle term in the polynomial. The difference between 5 and 2 is 3. Therefore 5 and 2 are the numbers that complete the factors (x - 5)(x + 2)Now decide the signs that belong in each factor. The appearance of -10 in the polynomial means that 5 and 2 have different signs. The -3x in the polynomial indicates that 5 (the larger number) has the minus sign, and that 2 has a plus sign. Thus(x - 5)(x + 2)Step 3: Set each factor equal to zero and solve the equations.x - 5 = 0x + 2 = 0x = 5x = -2
Which of these is a cylinder?
A cylinder is a solid figure whose upper and lower bases are circles; a can of vegetables is one example of a cylinder. An orange is a sphere; a stick of butter is a rectangular solid; and a hula hoop is (for all practical purposes) a two-dimensional figure, a circle.
What is the reciprocal of 5/3?
When the product of two numbers is 1, each number is the reciprocal of the other. In the following equation, r is the reciprocal you want to find.r × 5/3 = 1To isolate r, divide each side by 5/3. This is undoing the multiplication.r × 5/3 ÷ 5/3 = 1 ÷ 5/3r × 5/3 ÷ 3/5 = 1 × 3/5r = 3/5 (reciprocal of 5/3)
Post your Comments and Discuss Test Prep ASVAB Test exam prep with other Community members:
Our website is free, but we have to fight against AI bots and content theft. We're sorry for the inconvenience caused by these security measures. You can access the rest of the ASVAB Test content, but please register or login to continue.