A student performs the following estimations.
26+180210
115+391510
497+20242520
Based on these estimations, which of the following is the student’s estimate of 545+7501?
8030
8060
8160
8050
Correct Answer : D
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.
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Related Questions
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
We know that 1 L =1000 mL, which we use 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:
Thus, 3.2 L is equivalent to 3200 mL.
Correct Answer is C
Explanation
The best way to visualize the student’s score for each subject is to plot them using a bar graph.
Correct Answer is C
Explanation
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.
Correct Answer is D
Explanation
Before we compare the values of the options, we convert the decimals to fractions.
5.4 becomes 54/10
6.25 becomes 625/100
Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
11/2*300=1650
54/10*300=1620
13/3*300=1300
625/100*300=1875
From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.
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.
Correct Answer is B
Explanation
to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.
Total distance=5+3=8 miles
Total time=25+15=40 minutes
We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:
In 5 minutes, the athlete runs 1 mile.
Correct Answer is D
Explanation
The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes
t
There, 9 yards is equal to 27 ft.
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+192=227
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 D
Explanation
The net income is the salary of the teacher gets after deducting total taxes.
Weekly net income=weekly gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(72.00+35.00+65.00)
Total tax=$172.00
Weekly net income=$(730.00-172.00)=$558.00
The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4
The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.
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