The average mark scored by 29 students in a science test was 56%. John was sick, so he sat the test late and scored 71%. Including John's score, what was the new mean mark?

Answer:

[tex]?=240[/tex]

Step-by-step explanation:

We can let the [tex]?[/tex] be [tex]x[/tex]. Rewriting the proportion, we get:

[tex]\frac{50}{2000}=\frac{6}{x}[/tex]

Solving for [tex]x[/tex], we get:

[tex]\frac{50}{2000}=\frac{6}{x}[/tex]

[tex]50*x=2000*6[/tex] (Cross-Products Property)

[tex]50x=12000[/tex] (Simplify)

[tex]\frac{50x}{50}=\frac{12000}{50}[/tex] (Divide both sides of the equation by [tex]50[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=240[/tex] (Simplify)

Since [tex]?=x[/tex], we know that [tex]?=240[/tex]. Hope this helps!

Answer:

x = 8  y = 2

(8,2)

Step-by-step explanation:

You have to find the value of both x and y

x + 4y = 8

to find x you have to cancel out y so,

x + 4(0) = 8

x = 8

to find y you have to cancel out x

0 + 4y = 8

4y = 8

divide both sides by 4

y = 2

Hope this Helps!!!

By changing the equation to slope intercept form we draw the graph and graph is given in attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us convert the equation of line  x+4y=8​ to slope intercept form.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

x+4y=8

4y=8-x

Divide both sides by 4

y=-x+2

Now let us find few point to draw the graph.

If x=0

y=2

If x=1

y=1

If x=2

then y=0

if x=3

then y=-1

Now plot (0, 2), (1, 1) and (3, -1) and draw the graph

Hence, by plotting the points (0, 2), (1, 1) and (3, -1) we draw the graph and the graph is in attachment.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

92/85

Step-by-step explanation:

Answer:

i don't get it

Step-by-step explanation:

Answer:

u funkin this is ur test idiot

Answer: 42

Step-by-step explanation:

Lwh equals volume

6*3*2 equals 36

2*3*1 equals 6

36 + 6 equals 42

Answer:

Step-by-step explanation:

2

the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot K, the stick number of K, denoted by stick (K), is the smallest number of edges of a polygonal path equivalent to K.

Answer:

c i believe

Step-by-step explanation:

Answer:

He did not apply the distributive property correctly for 8(1 + 2i).

Step-by-step explanation:

Answer:

you need to add Carla's expression or something for us to answer this question I can try to help if you add it

Step-by-step explanation:

have a good rest of your day tho :) ❤

Answer:

1

Step-by-step explanation:

Its 1 because he was the first black baseball player in history of baseball im pretty sure.

Answer:

17 to that answer

Step-by-step explanation:

nwwansws s rgjkl rf sghands

Answer:

angle of depression = 59.04 degrees

Step-by-step explanation:

tangent X = 30/50

tangent X = 0.6

x = 30.96 degrees

90-30.96 = 50.04 degrees

Answer:

Step-by-step explanation:

θ = arctan(50/30) ≈ 59°

Answer: 3x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph of x - y = 1 is plotted below

The given equation is:

x - y = 1

The equation can be rewritten as:

y = x - 1

This is of the form y = mx + 1

where m is the slope

c is the y-intercept

Compare the equation y = mx + 1 with y = x - 1

The slope, m = 1

The y-intercept, c = -1

The graph of the equation y = x - 1 is plotted below

Learn more on graphs of linear equations here: https://brainly.com/question/14323743

Answer:

He Had It Bronzed

Step-by-step explanation:

Hope this help pls mark as brainlest!!

Answer:

6774.075

Step-by-step explanation:

1984: 8855

1983: 8855*10/100=885.5

8855-885.5

7969.5

1982

7969.5*15/100=1195.425

7969.5-1195.425

6774.075

Answer:

5.5 cm

Step-by-step explanation:

Answer:

28

Step-by-step explanation: im not sure this type of work is not my best but i gave it a try

Answer:

d

Step-by-step explanation:

Answer:

It would be d since its 1/2 and there asking for the whole cake

Answer:

x=0.3

Step-by-step explanation:

divide 8 by both sides to isolate x

8x/8= 2.4/8

2.4/8= 0.3, leaving x by itself, giving us x=0.3

Hope this helps and have a great week!

answer:x = 0.3

Step-by-step explanation:Simplifying

8x = 2.4

Solving

8x = 2.4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '8'.

x = 0.3

Simplifying

x = 0.3

Answer:

24 Blocks

Step-by-step explanation:

Hope this helps

Answer:

24 blocks

Step-by-step explanation:

Hope this helped

Answer:

total 13 candies

denominator: 13C2

= 78

one possible way to get all orange

ANSWER: 1/78

Answer:

Se cortarán en 15 trozos.

Step-by-step explanation:

Para determinar la longitud de cada trozo tal que todos los trozos tengan la misma longitud, se descompone factorialmente cada número:

[tex]40 = 2\times 2 \times 2 \times 5[/tex]

[tex]50 = 2\times 5\times 5[/tex]

[tex]60 = 2\times 2\times 3\times 5[/tex]

Ahora, determinamos el factor común de los tres números. Se puede encontrar que los tres números comparten un 2 y un 5. Entonces, el factor común es:

[tex]r = 2\times 5 = 10[/tex]

Este factor común representa la longitud de cada segmento. La cantidad de elementos se obtiene al dividir la suma de longitudes de las cintas por el factor común:

[tex]x = \frac{40\,cm+50\,cm+60\,cm}{10\,cm}[/tex]

[tex]x = \frac{150\,cm}{10\,cm}[/tex]

[tex]x = 15[/tex]

Se cortarán en 15 trozos.

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

9514 1404 393

Answer:

  (6, -3)

Step-by-step explanation:

The midpoint of a segment is the average of the end point coordinates.

  F = (C + L)/2

  F = ((0, 0) + (12, -6))/2 = (0+12, 0-6)/2 = (6, -3)

The fire station coordinates are (6, -3).

Answer:

x+10

Danny has 10 + x baseball cards