1.
Which of the following is not a type of graph?
Correct Answer
D. External graph
Explanation
The options given are all types of graphs except for "external graph." This suggests that "external graph" is not a recognized type of graph.
2.
What is the equivalent ratio to the unit rate of $6.00/14 mL?
Correct Answer
C. 3:7
Explanation
The equivalent ratio to the unit rate of $6.00/14 mL is 3:7. This means that for every 3 dollars, there are 7 milliliters.
3.
What is the length of side "c" if the sides of "a" is 20m and side "b" is 35m(Hint: use a2+b2, then find the square root)
Correct Answer
D. 40.3m
Explanation
The correct answer is 40.3m because it is obtained by using the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, side "a" is 20m and side "b" is 35m. So, using the formula a^2 + b^2 = c^2, we can calculate c^2 = 20^2 + 35^2 = 400 + 1225 = 1625. Taking the square root of 1625 gives us approximately 40.3m, which is the length of side "c".
4.
What is 45% of $360.00?
Correct Answer
B. $162.00
Explanation
To find 45% of $360.00, you can multiply $360.00 by 0.45. This will give you the amount of $162.00.
5.
What is the surface area of a cylinder?
Correct Answer
B. 2x(3.14x r)+(3.14x d x h)
Explanation
The formula for the surface area of a cylinder is 2πr^2 + 2πrh. In the given answer, 2(3.14r) represents the area of the two circular bases of the cylinder, and (3.14dh) represents the area of the curved surface. Therefore, the given answer correctly calculates the surface area of a cylinder.
6.
What is 3/4 divided by 3/8? (The lowest terms)
Correct Answer
B. 2
Explanation
When dividing fractions, you can multiply the first fraction by the reciprocal of the second fraction. In this case, 3/4 divided by 3/8 is equal to (3/4) * (8/3). Simplifying this expression gives us (3 * 8) / (4 * 3), which is equal to 24/12. Further simplifying by dividing both the numerator and denominator by 12, we get 2/1. Therefore, the answer is 2.
7.
What is the volume of a prism?
Correct Answer
A. BxH
Explanation
The volume of a prism is calculated by multiplying the base area (B) of the prism by its height (H). This is because the volume of a prism represents the amount of space it occupies in three dimensions. By multiplying the base area by the height, we are essentially finding the volume of the prism by multiplying the area of the base by the distance it extends in the vertical direction.
8.
What is (+8)x(-13)?
Correct Answer
C. (-104)
Explanation
The correct answer is (-104) because when you multiply a positive number by a negative number, the result is always negative. Therefore, (+8)x(-13) equals -104.
9.
What is y equal to using: x/5+(-13)=y when x= 8
Correct Answer
A. Y= -11.4
Explanation
By substituting x=8 into the equation x/5 + (-13) = y, we can solve for y. Plugging in the value, we get 8/5 + (-13) = y. Simplifying this expression, we have 1.6 - 13 = y, which gives us -11.4 = y. Therefore, y is equal to -11.4.
10.
Find the following value using opposite operations.
r/10+3= 13
Correct Answer
C. R=100
Explanation
To find the value of r, we need to reverse the operations in the equation. The equation states that r divided by 10, and then added by 3 is equal to 13. To reverse this, we subtract 3 from 13, which gives us 10. Then, we multiply 10 by 10 to get the value of r, which is 100. Hence, the correct answer is r=100.