A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?
$8.48
$6.40
$9.38
$7.00
Correct Answer : C
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
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Correct Answer is D
Explanation
We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:
      
Or
     
Since we are looking for mL, we use the second option.
     
Thus, 5.5 teaspoons can hold approximately 27 mL.
Correct Answer is A
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 3


Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
Correct Answer is B
Explanation
An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.
Correct Answer is B
Explanation
 we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as
Discount=mark off rate*original price
Discount=15%*$78
Convert 15% into a fraction, which become 15/100=0.15. Then
Discount=0.15*$78=$11.70
The selling price of the sweater will be the original price less the discount or mark off value. Then,

Thus, the approximate selling price of the sweater is $66.
Correct Answer is B
Explanation
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:
                      
The fraction above reduces into
                   
Â
In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
Correct Answer is C
Explanation
We usea calculator to find the product of
1.6*0.93=1.488
Correct Answer is D
Explanation
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=
206
115+391=
506
497+2024=
2521
From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
Correct Answer is B
Explanation
We follow the order operations to solve for the unknown value of x.
3(2x+5)=11x+5
Open the bracket on the LHS by multiplying each term by 3
(3*2x)+(3*5)=11x+5
6x+15=11x+5
Subtract 15 from both sides
6x+15-15=11x+5-15
6x=11x-10
Subtract 11x on both sides
6x-11x=11x-11x-10
-5x=-10
Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
Correct Answer is C
Explanation
The distribution of the weights of the newborn babies is symmetric meaning the mean, mode, and median are all equal. Thus, the bell-shape curve describes this kind of distribution of weights
Correct Answer is A
Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.

It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
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