Solve: 3,204 ÷ 119<br> Show the remainder as a fraction.

If the mean of A and B is 20, the mean of B and C is 24 and the mean of A,B and C is 18.What is the mean of A and C?

Zielflug [23.3K]

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given;

mean of A and B = 20

mean of B and C = 24

mean of A, B and C = 18

$\frac{A + B}{2} = 20\\\\A+ B = 40 ---- (1)\\\\\frac{B + C}{2} = 24\\\\B+ C = 48----(2)\\\\\frac{A+ B+ C}{3} = 18\\\\A+ B+ C= 54---(3)\\\\From (1); \ A = 40 - B\\\\From(2); \ C = 48 - B\\\\\Substitute \ the \ values \ of \ A \ and \ C \ into \ (3)\\\\(40-B) + B + (48-B) = 54\\\\simplify;\\\\(40 + 48) + (B-B-B)= 54\\\\88 -B = 54\\\\-B = 54-88\\\\-B = -34\\\\B = 34$

Recall; A = 40 - B

A = 40 - 34

A = 6

Also, C = 48 - B

C = 48 - 34

C = 14

Therefore, the mean of A and C is calculated as;

$= \frac{A + C}{2} \\\\= \frac{6 + 14}{2} \\\\= 10$

5 0

3 years ago

If i have 23 pictures and 2:59 mints to show them how many for each

Elan Coil [88]

Answer:

Step-by-step explanation:

2:59 minutes=179 secs

179/23=7.78260869565 seconds (but you can just do 7.78)

3 0

3 years ago

Read 2 more answers

HELP PELASE ILL MARK BRAINLIEST AND POINTS!

UNO [17]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.

and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.

that is ~

$\qquad \sf \dashrightarrow \: x + y = 3$

put y = - 2,we will get :

$\qquad \sf \dashrightarrow \: x - 2 = 3$

$\qquad \sf \dashrightarrow \: x = 5$

so, 1st equation satifys the condition. let's check out 2nd one.

$\qquad \sf \dashrightarrow \: x + 2y = 1$

put y = -2

$\qquad \sf \dashrightarrow \: x + (2 \times - 2) = 1$

$\qquad \sf \dashrightarrow \: x - 4 = 1$

$\qquad \sf \dashrightarrow \: x = 5$

Hence, we can conclude that the Correct choice is D

5 0

2 years ago

Select the correct answer.

Maru [420]

The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

<h3>How to interpret the graph?</h3>

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

<u>Where:</u>

x and y are the points.

m is the slope.

c is the intercept.

<h3>The condition for perpendicularity.</h3>

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

Read more on perpendicularity here: brainly.com/question/1202004

#SPJ1

Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

3 0

2 years ago

Find the x- and y- intercept of the line. x+4y=36 Answer choices are: A. x-intercept is 4; y-intercept is 1/ B. x-intercept is 1

agasfer [191]

It would be D. x-intercept = 36; y-intercept = 9

if you know that the x-intercept is when the line crosses the x-axis and the same way with the y-intercept, all you would need to do is graph it, (or use desmos.com) and find where the points me the x and y axis.

6 0

3 years ago

Solve: 3,204 ÷ 119 Show the remainder as a fraction.