As a person cycling increases speed, the rate of calories burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?
Energy
Calories
Speed
Distance
Correct Answer : C
an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.
Therefore, speed is the independent variable while other variables are dependent.
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Correct Answer is C
Explanation
the question requires we find the cost of two syringes.
If we let x be the cost of two syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides by 35
The cost of 2 syringes is $32.
Correct Answer is B
Explanation
in the given problem, we use the calculator to find 1.3*0.47=0.611
Correct Answer is D
Explanation
In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 4
Since 5 is subtracted, we add 5 to both sides to eliminate it from the left-hand side of the equation
Thus, the value of x is 7.
Correct Answer is A
Explanation
Based on the above data, the horizontal axis will be tree type and vertical axis will represent the number of trees.
Based on these, a bar graph is appropriate to represent the number trees.
Correct Answer is A
Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
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Correct Answer is B
Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.
Correct Answer is D
Explanation
: we are to find the selling price of the sweater after subtracting the mark off price.
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Mark of value=25%*$87
We convert 25% into a fraction, which become 25/100=0.25. Then
Mark of value=0.25*$87=$21.75
The selling price of the sweater will be the original price less the mark off value. Then,
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Correct Answer is D
Explanation
we need to form a mathematical expression from the given word problem.
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Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
Correct Answer is B
Explanation
here we use the US customary system to convert between yards and feet. We use the conversion 1 yard =3 feet. Then, 6 yards to ft is found as
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Correct Answer is B
Explanation
We need to find how many mL are in 2.5 teaspoons. We need to use dimensional analysis to solve this problem as follows.
Converting between teaspoon and mL uses the following conversions:
Or
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Thus, 2.5 teaspoons can hold 12.325 mL.
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