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
Katyanochek1 [597]
3 years ago
15

There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If

the average of all seven numbers is (6 + 4/7), find the number common to both sets of four numbers.
Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Sum of first 4 numbers= 4*5= 20

This includes 3 + 4th number

Sum of last 4 numbers= 4*8= 32

This includes 4th number + 3

Sum of 7 numbers= 7*(6+4/7)= 46

This includes 3+4th number +3

Number common to both sets= (20+32)- 46 = 6

You might be interested in
Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo
adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

\mathbf{Used = 70\% \times x}

Express percentage as decimal

\mathbf{Used = 0.7 \times x}

\mathbf{Used = 0.7x}

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

\mathbf{New= (1 + 15\%) \times x}

Express percentage as decimal

\mathbf{New= (1 + 0.15) \times x}

\mathbf{New= 1.15 \times x}

\mathbf{New= 1.15x}

The amount saved is the difference between the prices of the drones.

So, we have:

\mathbf{Saved =New - Old}

This gives

\mathbf{Saved =1.15x- 0.7x}

Subtract

\mathbf{Saved =0.45x}

Express as a function

\mathbf{f(x) = 0.45x}

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

7 0
2 years ago
You have a 45-gallon jug and a 124-gallon jug. neither of the jugs has any markings (although you do know their capacities). des
Alja [10]
Pour 4  times of 124-gallon into a big jug.
Amount of water = 124 x 4 = 496 gallons

Then use the 45-gallon jug to scoop out the water 11 times.
Amount of water scooped out = 11 x 45 = 455 gallons

Water remaining = 496 - 450 = 1 gallon.

5 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 more than twice the width. If the perimeter of the rectangle is 104 centimeters, what are the len
qaws [65]

Answer:

Make Width = 'x'

Length = 4 + 2x

Perimeter = 2 x Width + 2 x Length

86 = 2(x) + 2(4 + 2x)

86 = 2x + 8 + 4x

Collect like terms:

2x + 4x = 86 - 8

6x = 78

x = 13

Width = 13 cm

Length = 30 cm

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following is a trinomial? c2 + c + 6 c2 − 16 −8c c3 + 4c2 − 12c + 7
Taya2010 [7]
Trinomial is defined as a polynomial with three terms separated by a operation (+,-). 

c² + c + 6     AND     c²<span> − 16 −8c    are trinomials.  

</span>c² + c + 6    
1st term: c²
2nd term: c
3rd term: 6

c²<span> − 16 − 8c
</span>1st term: c²
2nd term: 16
3rd term: 8c

When there is only one term it is identified as monomial; two terms is identified as binomial; polynomial means many terms.
6 0
3 years ago
Read 2 more answers
Use the domain and range of each of the following relations to determine which is a function.
Sergeeva-Olga [200]

Answer:

a) Function

b) Not a function

c) Function

d) Not a function

Step-by-step explanation:

a) Domain = { 7,-6,2}

   Range = {5,0,3}

It is a function as every value in domain has some and unique value mapped to it in Range

b)

Domain = { 7,-6,2}

   Range = {5,0,-2,3}

It is not a function as -6 value in domain has two values mapped to it in Range

c)

Domain = { 7,2}

   Range = {-6,-7}

It is a function as every value in domain has some and unique value mapped to it in Range

d)

Domain = { 7,-6}

   Range = {5,0,3}

It is not a function as 7 value in domain has two values 3 and 5 mapped to it in Range

7 0
3 years ago
Other questions:
  • Whats 5/6 - 1/3 i need too know
    13·2 answers
  • What 121.06 in written form
    5·1 answer
  • Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x+3)2 + 4
    6·1 answer
  • 1. There are 532 pieces of art at the show.
    11·2 answers
  • One radio station broadcasts a weather
    5·1 answer
  • Alexis wants to make a paperweight at pottery class. He designs a pyramid-like mode l with a base area of 100 square centimeters
    8·1 answer
  • Which type of interest is going to give you more money long term?
    13·1 answer
  • What is the product of the two numbers, written in scientific notation?
    12·1 answer
  • How many significant figures are in the number 0.3368?​
    12·1 answer
  • I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!