A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?
$4.00
$6.00
$5.00
$7.00
Correct Answer : B
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
From the problem above, we are looking for the amount of gratuity the couple can leave.
Let t be the amount of gratuity. Translating into an equation, we have
The gratuity is 15% of the total bill, which becomes
Here, of means multiply and we also convert percent into decimal before multiplying.
So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
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Related Questions
Correct Answer is C
Explanation
we follow the order operations to solve for the unknown value of x.
2(4x+3)=7x+5
Open the bracket on the LHS by multiplying each term by 2
(2*4x)+(2*3)=7x+5
8x+6=7x+5
Subtract 6 from both sides
8x+6-6=7x+5-6
8x=7x-1
Subtract 7x on both sides
8x-7x=7x-7x-1
X=-1
Thus, the value of unknown value of x is -1.
Correct Answer is A
Explanation
to change L to mL we use the following options of interconversions:
Or
Since we are needed to change L to mL, use the second option.
Thus, a bucket can hold 3000 mL which is equal to 3 L.
Correct Answer is D
Explanation
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous/rangedata. While a bar graph does just fine even with discrete data.
Correct Answer is C
Explanation
we need to find the net income of the nurse in 4 weeks from the weekly net income.
Weekly net income=gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(83.00+38.00+79.00)
Total tax=$200.00
Weekly net income=$(800.00-200.00)=$600.00
In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:
The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.
Correct Answer is A
Explanation
The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula
Now, substituting the 49 π
 in2 in place of A in the equation above becomes:
We want to find r, therefore, we rearrange the equation as
Divide both sides by 
Take square root both sides of the equation
The radius of the circle is 7 in, and the circumference of the circle is determined as follows
Substituting the value of r=7 becomes
Thus, the circumference of a circle whose area is 49 
 in2 is 14 
Â
Correct Answer is B
Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
34÷96=
3/8=3/8
0.372=372/1000
37%=37/100
Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:
17/48*6000=2125
3/8*6000=2250
372/1000*6000=2232
37/100*6000=2220
From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48. Thus, the greatest value is 3/8.
Correct Answer is C
Explanation
to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is
Thus, 5/8 is equal to 62.5%.
Correct Answer is C
Explanation
In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,
We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,
The weight of the cargo will be 1548 lbs.
Correct Answer is B
Explanation
We are told to find the area of the pizza given its diameter. The pizza is in circular form, and its area is found as:
However, we are not given r, which is the radius of the circle. But we can find it from the given diameter as
Substituting r=8 in the equation of the area of a circle
Thus, the area of the pizza is 64 
 in2.
NOTE:Â 
 (Pi) remains as a symbol because values of Pi can vary from 22/7 to 3.1415 to 3.14 and so forth.
Correct Answer is A
Explanation
we are needed to find the portion of pizza shared by 3 three friends. We treat the whole pizza as 1. Now, 1 friend eats half of the whole pizza. Thus,
One friend=1/2 of 1=1/2*1=1/2
Remaining amount=1-1/2=2/2-1/2=1/2
Thus, ½ of pizza is left for three friends to share among themselves. Then, each friend will get
So, the other three friends will each get 1/6 of the pizza.
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