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
Tema [17]
3 years ago
8

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:
Neko [114]3 years ago
7 0

Answer:

Number common to both sides=6

Step-by-step explanation:

Average of first four numbers=5

4*5=20

Average of the last four numbers=8

4*8=32

Average of all seven numbers=6 4/7

7*6 4/7

Find the number common to both sets of four numbers

Solution

4*5=20

4*8=32

32+20=52

7 * 6 4/7

=7*46/7

=46

Number common to both sides=52-46

=6

You might be interested in
Order of operations
lorasvet [3.4K]
PEMDAS

12*(3/4) comes first

8+9=17
7 0
3 years ago
Read 2 more answers
PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!
Nookie1986 [14]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2-x-4}

Step-by-step explanation:

The equation of a parabola in vertex form:

y=a(x-h)^2+k

<em>(h, k)</em><em> - vertex</em>

The focus is

\left(h,\ k+\dfrac{1}{4a}\right)

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using k+\dfrac{1}{4a}

<em>k = -5</em>

-5+\dfrac{1}{4a}=-4        <em>add 5 to both sides</em>

\dfrac{1}{4a}=1           <em>multiply both sides by 4</em>

4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4

\dfrac{1}{a}=4\to a=\dfrac{1}{4}

Substitute

a=\dfrac{1}{4},\ h=2,\ k=-5

to the vertex form of an equation of a parabola:

y=\dfrac{1}{4}(x-2)^2-5

The standard form:

y=ax^2+bx+c

Convert using

(a-b)^2=a^2-2ab+b^2

y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5

<em>use the distributive property: a(b+c)=ab+ac</em>

y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4

3 0
3 years ago
Please help<br> Which of the following...
Gre4nikov [31]

Answer:

<7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Please help me witht this
iogann1982 [59]

Answer:

B,D

Step-by-step explanation:

the independent variable is what is being changed or manipulated and he is changing how many plays he gets.  the amount of yards he gets is a result of the amount of plays so thats the dependent variable.  

7 0
2 years ago
Read 2 more answers
Austin opened a bank account. He deposited $100 on Monday and $70 on Tuesday.
shutvik [7]

Answer:

22 weeks

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • If (x+3)+3(x-1)=20, what is the value of x
    13·1 answer
  • Brainiest to who ever answers first
    8·1 answer
  • I don't understand what it is asking?
    13·1 answer
  • Choose the correct simplification of the expression (2x − 6)(3x2 − 3x − 6).
    15·2 answers
  • Use the algebra tiles tool to model the equation 5x + (–6) = 6x + 4. What is needed to model the equation? Check all that apply.
    11·2 answers
  • A survey found that 39% of the population owned dogs, 22% owned
    7·2 answers
  • What is the equation for the line that passes through the point (-7,-7) and has a slope of 1?
    13·1 answer
  • Do you have all the pic of profit and loss?? class 9 vedanta publication book
    15·2 answers
  • .<br> G:<br> The 20%<br> discount on a<br> $55 sweatshirt
    13·1 answer
  • Help please! <br> What transformation is this?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!