3 (x-2) = 18
Solve the equation above for x. Which of the following is the correct answer?
8
-5
7
4
Correct Answer : A
We solve for the value of x by following the order of operations
3(x-2)=15
Divide both sides of the equation by 3
Add 2 to both sides of the equation
Thus, the value of x is 8.
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Related Questions
Correct Answer is C
Explanation
We need to find the amount Lana left after spending and investing another.
Lana spends=70% of $90=70/100 * 90 = $63
Amount left after spending=$(90-63) = $27
Lana is left with $27, which she will invest and earns a profit of 60%.
Profit earned=60% of $27 = 60/100 * 27 = $16.20
Therefore, Lana will have $27 + $16.20 = $43.20
Correct Answer is D
Explanation
Based rainfall falling for the first 5 months, a bar graph will give a great display for the farmer to decide when start planting. The horizontal scale will represent months of the year and vertical scale will present the amount of rainfall falling.
Correct Answer is C
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a no correlation
Option c is a negative correlation
Option d is a positive correlation
Correct Answer is D
Explanation
Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below
Correct Answer is A
Explanation
We solve for the value of x by following the order of operations
3(x-2)=15
Divide both sides of the equation by 3
Add 2 to both sides of the equation
Thus, the value of x is 8.
Correct Answer is D
Explanation
From the cost of 45 syringes, we are required to find the cost of 5 syringes. We set up a proportion equation by letting the cost of 5 syringes to y. Besides, we let the cost to be numerator and number of syringes to be denominator as follows.
Solve the value of y by cross products
Divide both sides by 45
Therefore, 5 syringes will cost $80.00.
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.
From the above evaluations, option two is the correct choice.
Correct Answer is A
Explanation
A ratio is of the form a : b but can also be converted to a fraction of the form a/b, where b is not equal to zero. Besides, to in ration means per in fraction form.
In the class of 40 students, 22 are girls and 18 are boys. Thus, the ratio of girls to boys becomes:
The above fraction can be reduced further since 2 is a common factor in both 22 and 18. Thus
In ratio form, girls: boys=11:9
Thus, the ratio of girls to boys in a class of 40 students is 11 to 9.
Correct Answer is D
Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
Correct Answer is C
Explanation
We use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 10oz of ammonia. Expressing this mathematically yields two options:
\(\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\)or\(\frac{1\ gallon\ of\ solution}{10\ oz\ of\ ammonia}\)
Now we find how much ammonia is needed using option two.
\(51\ gallon\ of\ solution\ *\frac{10\ oz\ of\ ammonia}{1\ gallon\ of\ solution}\ =\ 510\ oz\ of\ ammonia\)
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 510 oz of ammonia.
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