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]
3 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]3 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
A rectangular room has a n actual length of 6 meters and a width of 4 meters. The scale for a drawing is 1 cm = 2 meters. What i
jonny [76]

Answer:

the  answer is  this seems to be a trick question because you have to divide 6 meters by two to get 3 cm and the four also gets divided by 2 cm and that is how i got the aanswer d

Step-by-step explanation:

7 0
2 years ago
A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
malfutka [58]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)
7 0
3 years ago
Solve x.<br><br>WILL GIVE BRAINLIEST​
Gnesinka [82]

Answer:

What’s this called again? And do u possibly know the formula for this? I just need these elements to solve it... plz reply

Step-by-step explanation:

6 0
3 years ago
M+4+2-7m+6 I need to find how many’s terms are in it and what are the terms
madreJ [45]

Answer:

5 terms:  m, 4, 2, -7m, 6 are the terms in question.

Step-by-step explanation:

Note that terms here are separated from one another by either + or - signs.

m + 4 consists of two terms, since m and 4 are separated by the + operator.

2 - 7m are separated by the - operator, and so there are two terms here.

Completing the counting procedure, we get:

m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).

So, if we do NOT combine like terms, we have five (5) terms altogether.

If we DO combine like terms, we end up with two (2) terms:

m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.

5 0
3 years ago
4y+3y simplify
kykrilka [37]

Answer:

<h2>✓ Simplifying Expressions</h2>

4y + 3y

<h3>Solution:</h3>

4y + 3y \\  = 7y

  • Adding the numerical coefficient with the terms that have the same variables. Meaning they are like terms. Adding the base and then copy the variables.

<h3>> Therefore, the answer is 7y.</h3>
4 0
3 years ago
Read 2 more answers
Other questions:
  • BRAINLIEST ANSWER TO FIRST ANSWERER!!
    6·1 answer
  • It is 2 kilometers from Jake’s house to the library.<br><br> What is the distance in meters?
    6·2 answers
  • The number of points scored by each team in the NHL at the end of the season is
    11·1 answer
  • There are t teams in a soccer league.Each team has 11 players.Make a table , write an equation , and draw a graph to describe th
    6·1 answer
  • What does W prime V prime and U prime equal
    14·1 answer
  • Please help and explain the answer as best as you can so i can understand it better! (6th grader)​
    15·1 answer
  • Question: <br> Find the Vertex<br> 3. y= x*2+ 18х - 75<br><br> a) (-6,9)<br> b) (9,-6)<br> c) (9,6)
    15·2 answers
  • Which relation is a function <br> {(-4,-4), (2, -4), (7,3), (7, -1)}
    10·1 answer
  • At a summer camp, 5 out of 12 campers are signed up for horseback riding. If there are 432 campers at the camp, how many are sig
    10·1 answer
  • Which coordinate could represent the amount of granola when selling at a unit rate of R pounds per dollar?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!