Solve for z in the equation above.
z=rwy+x
z=rw+(y/x)
z=y(x+rw)
z=rw-(y/x)
Correct Answer : D
We are asked to make z the subject of the formula.
First, we subtract y/x from both sides of the equation
Thus, the formula for finding the value of z is .
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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 D
Explanation
we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.
Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
x 1 full tank=185 gallons23full tank
A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Correct Answer is A
Explanation
Choice A: 2 packs of Orange and 2 packs of Cream Soda
- Total drinks: 48 + 24 = 72 drinks
- Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
- This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.
Choice B: 3 packs of Root Beer
- Total drinks: 3 * 24 = 72 drinks
- Total cost: 3 * $14 = $42
- While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42for 72 drinks.
Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Total drinks: 24 + 48 + 12 = 84 drinks
- Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
- This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.
Choice D: 4 packs of Cream Soda
- Total drinks: 4 * 12 = 48 drinks
- Total cost: 4 * $5 = $20
- While this choice is the most cost effective, it falls short of providing the desired number of drinks.
Correct Answer is D
Explanation
notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then
As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
Correct Answer is D
Explanation
in this case, we express James’ uncle’s age in terms of James’ age. From the equation:
James’ age is n
James’s uncle’s age is m=3n-13
Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.
Correct Answer is C
Explanation
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.
Correct Answer is C
Explanation
To find the greatest number from the given set, we first convert the decimal numbers into fractions.
12.35 becomes 1235/100
11.46 becomes 1146/10
Then, the LCM for the denominators of the given fractions of 2, 100, 3 and 10 is 300. Now we multiply each fraction with 300, which we will use to compare the give set.
25/2*300=3750
1235/100*300=3705
40/3*300=4000
1146/10*300=3438
From the calculated values, 4000 is the greatest value. Then, 40/3is the greatest value.
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,
in.
Correct Answer is B
Explanation
we are to use the pie chart to find the number of students enrolled in dental hygiene care.
Letting x represent the number of students enrolled in dental hygiene care, we set the proportion equation with number of students as numerator and percentage as denominator. It should be noted that the whole pie chart represents 100% of the 800 students. Then,
We solve the value of x by cross-products.
Therefore, 144 students will enroll for a dental hygiene program.
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