Which of the following is the independent variable in the equation below?
F(x)=5x+10
10
F
5
x
Correct Answer : D
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, x is variable that is changed to obtain the desired outcome, F(x). Therefore, x is an independent variable.
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Related Questions
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 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 D
Explanation
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  .
Correct Answer is D
Explanation
the mean of a data set is the sum of the scores divided by the number of tests.
Total test scores =99+93+67+ 48+ 92+ 87=486
Number of tests =6
Mean test score =486/6=81
The mean test score is 81.
Correct Answer is C
Explanation
The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.
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.
Correct Answer is B
Explanation
The median of the data set is the number that falls in the middle position after arranging the numbers in the data set in the ascending order.
-6, -4, 1, 8, 12
There are 5 numbers in the given data set, therefore the median falls in the third position from either side. Inspecting the data set, 1 fall in the third position, which is the median for the given data set.
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 A
Explanation
A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change inbrand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Correct Answer is A
Explanation
we are tasked to find the number of cups of flour that will be used to make 90 cookies.
This is a proportion equation, and letting x be the number of cups of flour we set the equation as follows:
Solve the value of x by cross-products
Next, we convert the mixed fraction into improper fraction in order to carry out multiplication
The baker needs 15.75 cups of flour to make 120 cookies. 15.75 in mixed fraction is Â
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