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
monitta
2 years ago
12

Suppose your average, after taking 4 quizzes, is 71 (out of 100). what must your average be on the next 5 quizzes to increase yo

ur average to 86 out of 100?
Mathematics
1 answer:
Anton [14]2 years ago
5 0
Short answer: 98
Remark

when you have an average of 71, it's like saying that you took 4 quizzes and got 71 on all of them. 
Step One
Find the total point count for the 4 quizzes.
T_4 = 71 * 4 = 284

Step Two
Create an equation that will give you the necessary point count to average 86.

284 + 5*x = 86 * 9
Why did we do this? It is because you have 9 quizzes altogether. All nine must be something that gives a point count of 86 on each quiz.  You have to put together 9 such quizzes with a total count of 774.

Step three 
Solve the equation.
284 + 5x = 774  Subtract 284 from both sides.
5x = 774 - 284
5x = 490   Divide by 5
x = 490/5
x = 98

You must get an average of 98 on the next 5 quizzes

Answer: 98 <<<<<

You might be interested in
A snail traveled 1/4 kilo in 5/6 hours. What was its average speed
AysviL [449]

Answer:

3/10 kilos per hr

Step-by-step explanation:

1/4÷5/6=1/4×6/5

=6/20=3/10

5 0
2 years ago
Which relation is a function? <br><br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
SIZIF [17.4K]
A function is relationship where a member of the Domain maps to one and only one member of the Range.

To prove a relationship is a function, a VERTICAL LINE TEST may be performed.  If a vertical line cuts the graph of a relationship only once then it is a function if not, then it is not.

View the image attached for the test.   

The answer is option A

6 0
3 years ago
You have decided to wallpaper your rectangular bedroom. the dimensions are 12 feet 6 inches by 10 feet 6 inches by 8 feet 0 inch
Papessa [141]
The wall area is the product of the room perimeter and the room height:
   A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²

The window and door area together is
   A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²

The area of one roll of wallpaper is
   A₃ = (2.5 ft)*(30 ft) = 75 ft²

Then the number of rolls of wallpaper required will be
   1.1*(A₁ - A₂)/A₃ ≈ 4.74

5 rolls of wallpaper should be purchased.

_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
8 0
3 years ago
Why do you sometimes only have one multiplication sentence for an array
Inessa [10]
What I do now t get it
4 0
3 years ago
Find the number that must be added to 40% of 225 to give 200​
ICE Princess25 [194]

Answer:

90

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • -2(x - 2) - 4x = 3(x + 1) - 9x
    12·1 answer
  • Simon tosses a coin 20 times. The coin lands heads up 7 times. Based on these results, how many times can Simon expect the coin
    6·1 answer
  • William bought a new backpack at the store when they were having a 40% percent off sale. If the regular price of the backpack wa
    5·2 answers
  • To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou
    15·1 answer
  • What is the function? 4th grade math
    12·2 answers
  • Write a word problem for this inequality <br> 72-12a&lt;24
    10·1 answer
  • 1. Again we have two methods, A and B, available for teaching a certain industrial skill. There is an 80% chance of successfully
    14·1 answer
  • The Carolina Castaways and Raleigh Rockets scored a total of 96 points. The Rockets scored one third as many points as the Casta
    10·1 answer
  • Question : 4(3x + 2) -6 x 6
    5·2 answers
  • Help me out here pleaseeeeeeeeeee
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!