Which of the following is the equivalence in pounds for 55 kg? (2.2 lb=1 kg)
82.2 lb
22.6 lb
121 lb
242 lb
Correct Answer : C
We are asked to convert kg to pounds using the given relation. If we let x to represent the lb we are asked to find, we set the proportion equation with kg on numerator and lb on the denominator as follows.

The equivalent value of 55kg is 121 lb.
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Correct Answer is A
Explanation
we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.
Correct Answer is C
Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows. Â

The value of x is found as:


The value of the unknown leg side of a triangle is about 9.8 feet.
Correct Answer is B
Explanation
we are asked to find the amount of milk in mL using the given information.
If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

A recipe of 3.4 teaspoons is equal to 17.0 mL.
Correct Answer is C
Explanation
we need to find the circumference of the circle from the given area.
The first step is to find the radius of the circle using the given area. Let r be the radius of the circle, then:

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

Now, we know the radius of circle to be 9 in, the circumference of the circle becomes,
Â
 in.
Correct Answer is C
Explanation
We are asked to find the fraction of pizza the three friends shared equally.
First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:
First friend eats =1/4 of 1=1/4*1=1/4
Remaining fraction of the pizza=1-1/4=3/4
Now, the three friends share 3/4 amongst themselves equally. So, each friend gets

The three friends each gets 1/4 of the pizza.
Correct Answer is D
Explanation
The slope represents the ratio of rise to run. Let p be the minimum length of the ramp, we can set a ratio equation as follows. Then,

The minimum length of the ramp needed is 18 feet to access to a door that is 1.5 feet above the sidewalk.
Correct Answer is A
Explanation
Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.
Correct Answer is C
Explanation
percentages are fractions with denominator equal to 100. Then, in decimal form:

The decimal form of 67.9% is 0.679.
Correct Answer is C
Explanation
We are given the equation:
6x−5=10x+15
Step 1: Move all xxx-terms to one side
Subtract 6x from both sides:
−5=10x−6x+15
Step 2: Move constants to the other side
Subtract 15 from both sides:
−5−15=4x
−20=4x
Step 3: Solve for x
Divide both sides by 4:
x=−20/4 = −5
Correct Answer is A
Explanation
To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.
-0.9 becomes 9/10
-1.9 becomes 19/10
Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.
-3/5*30=-18
-9/10*30=-27
-19/10*30=-57
-8/3*30=-24
The greatest number is -18, meaning -3/5 is the greatest number.
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