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Thomas rides the bus to school each morning. If the bus picks Thomas up at a quarter before eight, and it takes half an hour to get to school, what time will Thomas arrive at school?
The phrase 'a quarter before' indicates that the time is 15 minutes before the hour.
The bus picks Thomas up at
"a quarter before 8"
which translates to 15 minutes before 8 o'clock, or
7:45 AM.
Because it takes half an hour, or
30 minutes
to get to school, Thomas will arrive at school 30 minutes after 7:45 AM.
7:45 AM + 30 minutes =
8:15 AM
'a quarter after' indicates that the time is 15 minutes after the hour, so 8:15 can be read as
a quarter after 8.
Note that there are 60 minutes in one hour.
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Approximately how much will John need to pay if a pair of shoes cost $42.64, a pair of pants costs $37.99, and a shirt costs $21.34.
The key word, "approximately," indicates that we must round each of these values. Let's round to the nearest tens place because each of our answer choices is rounded to the tens place.
Shoes cost $42.64.
$42.64 rounded (down) to the nearest tens place is $40.
Pants cost $37.99.
$37.99 rounded (up) to the nearest tens place is $40.
A shirt costs $21.34.
$21.34 rounded (down) to the nearest tens place is $20.
Let's add up our estimated prices.
$40 + $40 + $20 =
$100.
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Laura is going bowling with her friends this weekend and she is using some of the money that she has saved up from allowance and her birthday. She will have to pay a flat fee of $8 to rent her shoes and $10.50 per game she bowls. If she has planned to bowl 4 games and she is only taking $50 with her to the bowling alley will she have enough money? If yes, how much money will she have when she leaves the bowling alley?
The flat fee for the shoes will only be paid once since the shoes will be used for all four games. The cost per game will be paid each time one game finishes and a new one is started.
To calculate her cost add the fee for the shoes and the fee for each game played. That would be $8 (shoes) + $10.50 (game 1) + $10.50 (game 2) + $10.50 (game 3) + $10.50 (game 4) = $50 (total cost).
Laura had $50 with her so there was enough money and nothing left over when she left the bowling alley.
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Evaluate:
Add the first two numbers as follows:
Now add this sum to the third number as follows:
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Evaluate:
Add the first two numbers as follows:
Now add this sum to the third number as follows:
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Add. Show as a mixed fraction.
When adding fractions, you must first make sure that the denominators are equal. If they are not equal, then you must make them equal by finding the LCD (lowest common denominator). In this case the LCD is 15. Now set up the new equation:
Then add the numerators to get:
Show as a mixed fraction:
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Approximately how much will Sophie need to buy a shirt at $12.99, a loaf of bread at $3.99, and a television at $43.76?
Since we're looking for an approximate value, we need to round our numbers up. Adding the three items gives a total of $60.74, so at least $61 is needed - thus $61 is the correct answer.
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George buys four items costing
Approximately how much does he pay in total?
First, add up all of the values:
Then, decide which of the answer choices approximates this value. Our answer is between and
.
Another way to solve this problem is to round the four values to their nearest whole numbers and then sum those rounded values:
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Find the sum of the following two fractions:
When adding two fractions, you first need to make their denominators match. Find the least common multiple of the two denominators, then convert both fractions so that they both share that denominator. The least common multiple of and
is
, so that will be the new denominator. Convert
into
by multiplying its numerator and denominator by
, and convert
into
by multiplying its numerator and denominator by
. Then add together the converted fractions.
, so
is the correct answer.
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Which of the following is a valid approximation of the problem
?
Round each number to the nearest whole number:
Add them together:
Therefore, 15 is a valid approximation of the problem. The exact answer is:
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Danielle buys four items costing ,
,
, and
. What is the estimated total of Danielle's items?
To solve this problem, one should round either to the tenths place, or to the nearest dollar. can be rounded to
,
to
,
to
, and
to
. When one adds up the estimated costs, it yields about
.
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Sam buys four items, costing ,
,
and
. What is the estimated cost of Sam's items?
In this problem, the costs of the items can be rounded to either the nearest dollar, or the nearest ten cents.
and
can be rounded to
and
, respectively.
can be rounded to
, and
can be rounded to
.
When the new, estimated costs of the items are added, the sum is , which is between
and
dollars.
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Estimate .
To estimate, you must first round the numbers given. Round 1389 to 1400. Then, round 592 to 600. Combine 1400 and 600 to get 2000.
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First, find a common denominator. For these two fractions, it is 20. Then, change each fraction to reflect that new denominator. becomes
.
becomes
. The next step is to add the numerators, which is 17. Remember, when adding fractions, we only add the numerators. Thus, your answer is
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What is the standard form for writing five hundred twenty-two thousand twenty?
To determine the standard form for five hundred twenty-two thousand twenty, it is best to take it step by step:
The final answer can be found by adding together these parts.
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Which of the following is true about the set below?
The numbers in the set are all odd, meaning that they are not divisble by 2.
While the numbers in the set increase by 4 sequentially, they are not divisible by 4, and therefore are not multiples of 4.
Thus, the best answer is that they are all odd.
Additionally, the numbers are not prime because 9 and 21 are both divisible by 3.
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Samantha has 17 cookies, Robert has 6 cookies, and Julia has 13 cookies. How many total cookies do they have?
To find the total number of cookies, add each person's cookies together.
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What is the value of in the equation?
To solve, you will need to get alone on the left side of the equation. Do this by dividing both sides by 2.
The left side cancels.
Reduce the right side.
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Jill is getting ready to go to school. She wakes up an hour before class starts and it takes her 15 minutes to walk to school. If class starts at 8:00, which of the following best describes when she must leave home to be at class on time?
Given that Jill's class starts at 8:00 and that it takes her 15 minutes to walk there, she must leave at 7:45. Since she woke up an hour before class starts, at 7 am, this means that she must leave in 45 minutes. Therefore, the correct answer is:
She must leave in 45 minutes in order to leave at 7:45.
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Simplify the expression.
To simplify, the first step is to reorder the terms and add the like variables together.
This gives us , which is therefore the correct answer.
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