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
goldenfox [79]
3 years ago
13

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20. The fifth n

umber is
A. a - 4
B. a + 4
C. 4a + 4
D. 4a + 16
E. 9a + 36
Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

9a+36

Step-by-step explanation:

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20.

The average (arithmetic mean) of four numbers is 4a + 16.

Sum of 4 numbers = 4 times the average

Sum of 4 numbers =4(4a+16)= 16a+64

sum  of 5 numbers = 5 times the average of 5 numbers

Sum of 5 numbers =5(5a+20)=25a+100

fifth number = sum of 5 numbers minus the sum of 4 numbers

fifth \ number = 25a+100-(16a+64)

25a+100-16a-64

9a+36

You might be interested in
Find the reciprocal of 19/13
mariarad [96]

Answer:

13/19

Step-by-step explanation:

To find the reciprocal, flip the number.

The reciprocal of 19/13 is 13/19

~

7 0
3 years ago
Read 2 more answers
How to find the rate of change of the volume of cone?
sleet_krkn [62]
You can use calculus ( related rates).  Given the rate os change of the radius for example you can find the rate of change of  volume using differential calculus.
8 0
3 years ago
At the county fair, Darius can purchase 3 candy apples and 4 bags of peanuts for $11.33. He can purchase 9 candy apples and 5 ba
Ksenya-84 [330]
Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.

Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as: 

3c + 4b = 11.33   (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as: 

9c + 5b = 23.56   (2)

<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56

9c + 12b - 9c - 5b = 10.43

7b = 10.43

b = $1.49

Using the value of b in equation 1, we get:

3c + 4(1.49) = 11.33

3c = 5.37

c = $ 1.79

Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05

Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
3 0
3 years ago
PLEASE ANSWER QUICK
makvit [3.9K]
For the first equation, I put it in y=mx+b form, so y=-3x-9
the second one is x=4
hope i helped 
3 0
3 years ago
At a large automobile dealership, you take a random sample of 35 cars and determine that the average cost is $34,330. Which stat
Lina20 [59]
C) you conclude that less than half of the cars on the dealership’s lot cost more than$34,330
3 0
3 years ago
Read 2 more answers
Other questions:
  • HELP PLEASE....... FYI: 33 points
    15·1 answer
  • Write an equation that represents the line use exact numbers
    7·1 answer
  • 16. f(x) = x^3 + 3x^2-2 and f(- 1) = 0. If g(x)=f^-1* (x) the value of g^prime (0) is ( A) - 1/3 (B) - 1/4 (C ) -3 (D) nonexiste
    12·1 answer
  • Whats 109 divided by 27 and then simplify it
    6·1 answer
  • Find the volume of a sphere with a DIAMETER of 12 cm.
    10·1 answer
  • What's the probability of getting an odd number and a head when rolling a die and then tossing a coin?
    12·2 answers
  • Please may someone help me with this I have been stuck on it for so long
    14·1 answer
  • PLEASE ANSWER URGENTLY ILL TRY AND MARK BRAINLIEST
    9·2 answers
  • Find the circumference of the pizza. Round your answer to the nearest hundredth.
    7·1 answer
  • Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how man
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!