1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ray Of Light [21]
2 years ago
5

Tommy used benchmark fractions to estimate the sum of 1/5 +3/7 as 1. Tommy's teacher said he was incorrect. Explain what error T

ommy might have made and what tips you can give him to solve the problem correctly.
Mathematics
1 answer:
Alika [10]2 years ago
3 0

Answer:

Error made by Tommy is he didn't follow the rules of using benchmark fractions to estimate the individual fractions but just added normally and estimated to the highest whole number.

So next time he will have to estimate the individual fractions using the benchmark rules before adding up to get the approximate benchmark sum.

Step-by-step explanation:

A benchmark fraction is used to compare two or more fractions to see if they are lesser than, equal to or greater than the benchmark.

Now, in this question we want to find the benchmark of 1/5 +3/7.

In benchmarks, we have the following rules;

- if the numerator is close to zero, then the fraction is close to zero

-if the numerator is close to half of the denominator, then the fraction is close to ½.

- if the numerator is close to the denominator, then the fraction is close to 1.

Now in our question 1/5 will be closer to zero because the numerator is closer to zero.

But, 3/7 will be closer to ½ because the numerator is close to half of the denominator.

Thus,

1/5 +3/7 will be closer to 0 + ½ = ½

Thus, the correct estimate of the sum using benchmark is ½

Error made by Tommy is he didn't follow the rules of using benchmark fractions to estimate the individual fractions but just added normally and estimated to the highest whole number.

So next time he will have to estimate the individual fractions using the benchmark rules before adding up to get the approximate benchmark sum.

You might be interested in
esse deposits $428 into his new checking account. During the month, he deposits $40 and withdraws $25, $283, and $119. What is t
tatyana61 [14]
A $1 is all he has left.
7 0
3 years ago
Read 2 more answers
12x - 5 = 8x - x + 50<br> Help please show work and check the solution
Inga [223]

Answer:

x = 11

Step-by-step explanation:

12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50  \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11

and check:

12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127

3 0
3 years ago
What is X in this question: x/3+x/4+1=x/2
Zepler [3.9K]

Answer:

x = -12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP MEEE ASAP
lys-0071 [83]

Step-by-step explanation:

first of all, g(x) has only negative functional result values (y) except for 0.

and a square is always positive.

so, the only possible right answers are the ones that include a minus ("-") sign.

the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).

so, which equation turns an x = 1 into an y = -3 ?

therefore, the right answer must be D.

g(x) = -3x²

it works for both points :

-3 = -3×1² = -3 correct

-3 = -3×(-1)² = -3×1 = -3 correct

8 0
3 years ago
Insert grouping symbols so that the given expression has a value of 34. 14 + 10 – 6 • 8 – 3
Naily [24]

The correct answer is D. 14 + (10 – 6) • (8 – 3).

That's because in each of the other answers, we are subtracting a greater and greater number. But in this version, we are first completing the parenthesis, which gives us the following.

14 + (10 – 6) • (8 – 3)

14 + (4) • (5)

Now we complete the multiplication.

14 + 20

And we end with the addition.

34

3 0
3 years ago
Other questions:
  • PLEASE HELP!! 50 POINTS!!
    5·1 answer
  • Describe how the infinite sequence are below are generated 2,5,8,11,14,17
    7·2 answers
  • All of those ones please
    14·1 answer
  • Ubehebe crater in Death Valley has a diameter of a little more than 1/2 mile. If latisha walks around it's rim at a rate of 2 mi
    13·2 answers
  • delia drove her car 179 miles. The car used 6.04 gallons of gasoline on the drive. Estimate the cars gasoline milage in miles pe
    5·1 answer
  • What is the answer to 7x+7 = 3x+9
    6·2 answers
  • Any of these?? i need help with this packet
    12·2 answers
  • This photo is the problem I have to solve for x help please
    13·2 answers
  • Will the following list have a large or small Standard Deviation?
    13·1 answer
  • Deena wants to save $175 for a trip to an amusement park. She sets aside $14 of her allowance at the end of each week. How many
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!