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
olga55 [171]
3 years ago
8

Find all sets of three consecutive integers whose sums are greater than 102 and less than 109

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
Let x be the number.

Then:
(x)+(x+1)+(x+2)>102
(x)+(x+1)+(x+2)<109

x+x+1+x+2
3x+3>102
3x>102-3
3x>99
x>22

3x+3<109
3x<109-3
3x<106
x<35.33

Therefore, the number can be bigger than 22 but less than 35.333 to meet the requirements.

Hope I helped :)
You might be interested in
There are 36 dinosaurs pictured in Karmita's book. If 2/3 of them were plant eaters, how many were plant eaters.
UNO [17]
In order to solve your question, you first have to understand what 1/3 of 36 is. you can do that by dividing 36/3.

when you do this you get the answer of 12. 1/3 of 36 is 12.

to get the 2/3 part. Add 12 to the existing part that you have.

Therefore, you have 24 plant eaters.
5 0
2 years ago
Can someone help me ASAP?!
Jlenok [28]
Number one is $57.60 subtract the money she gave u and how much u have to 220
8 0
3 years ago
The industrial process that is used to convert a fuel to gasoline is carried out at a temperature range of 660 degrees°F to 790
NARA [144]

Answer:

|F-725|

With F represent the variable of interest:

-65< F-725< 65

-65+725< F< 65+725

660 < F< 790

Step-by-step explanation:

For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.

We can find the midpoint of this interval like this:

Midpoint= \frac{660+790}{2}= 725

And the difference between the midpoint and the limits are:

|790-725|= 65

|680-725|= 65

So then we can create the following inequality:

|F-725|

With F represent the variable of interest.:

-65< F-725< 65

-65+725< F< 65+725

660 < F< 790

5 0
3 years ago
There are 128 flavors at an ice cream shop. If a company orders 75 scoops of each flavor, how many scoops of ice cream would the
Y_Kistochka [10]
Hope this answer helps you! :)

5 0
3 years ago
Jake tutors students. He charges $10 for the first session and $5 for each additional session. Let x
SIZIF [17.4K]

Answer: y = 5x + 10

Step-by-step explanation:

y= 5x + 10

THINK ABOUT IT! if 5 is for EACH additional session and x is equal to the NUMBER OF SESSIONS...... then 5 times x will give you the cost for each additional session, but NOT INCLUDING THE 10 FOR THE FIRST SESSION. so simply just do 5x + 10 and y is the total cost so

y = 5x + 10

8 0
2 years ago
Read 2 more answers
Other questions:
  • A random sample of 7th grader students are surveyed about their eye color. The result is 12 blue 2 green, 58 brown and 8 hazel.
    7·1 answer
  • Which car is accelerating?
    7·1 answer
  • ‼⚠️IM TIMED⚠️‼<br><br>✨✨✨✨✨✨✨✨​
    7·2 answers
  • List 3 possible situations in which the integer +5 could be used <br><br> help me please
    8·1 answer
  • Solve each equation a. 25-3x=40 <br> b. 1/3(x-10)= -4 <br> What does x equal to for each equation?
    7·2 answers
  • How many litres of water can hold in a tank whose capicity is 6000m³
    7·1 answer
  • 12(3+10)= 12x ?+ ? x10
    14·1 answer
  • Match the reasons with the statements in the proof.
    13·2 answers
  • Simplify: startroot startfraction 25 over 441 endfraction endroot the prime factorization of 25 is . the prime factorization of
    11·1 answer
  • A square garden has perimeter of 80m, find its area​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!