Solve for w in the equation below.
w=rxy+z
w=(x/ry)+(z/r)
w=y(z+rx)
w=(x/ry)-(z/r)
Correct Answer : D
We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.
Then, divide both sides by r
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of w is (x/ry)-(z/r).
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Related Questions
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Correct Answer is C
Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
Correct Answer is D
Explanation
To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:
- Identify the tenth place in 24.375:
- Tenth place: 3 (24.375)
- Hundredths place: 7 (the next digit after the hundredths place)
- Apply rounding rules:
- If the hundredths place is 5 or greater, round up the tenth place.
- Since 7 is in the hundredths place, round 24.3 up to 24.4.
Correct Answer is C
Explanation
we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 336 students will enroll for a nursing program.
Correct Answer is A
Explanation
To determine the correct coordinates of the point shown on the graph, follow these steps:
- Identify the x-coordinate: Count the number of units the point is to the right or left of the y-axis. The point is at 5 on the x-axis.
- Identify the y-coordinate: Count the number of units the point is above or below the x-axis. The point is at -8 on the y-axis.
- The correct coordinates are (5, -8).
Looking at the answer choices:
- A. (5, -8) → Correct
- B. (-5, 8) → Incorrect
- C. (-8, 5) → Incorrect
- D. (8, -5) → Incorrect
Final Answer:
A. (5, -8)
Correct Answer is B
Explanation
The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.
This represents a Negative Correlation because:
- When one variable (absences) increases, the other variable (exam score) decreases.
- The points on the scatter plot trend downward from left to right.
Correct Answer is A
Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[3(2+6*4)]
We start with multiplication in inner brackets, 6*4=24. The expression becomes
[3(2+24)]
Then, we conduct the addition of 2+24=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)
The expression reduces into 6.
Correct Answer is D
Explanation
Let the unknown length of the x. The resulting rectangle is shown below.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 17.7 feet.
Correct Answer is D
Explanation
Given the equation F(z)=9z+28
To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.
Correct Answer is D
Explanation
We are asked to determine John’s uncle’s age relating to John’s age.
First, express John’s uncle’s age in terms of John’s age as follows
John’s age=k
John’s uncle’s age, u = 5k-12.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.
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