If "a" is a positive integer, what is the mean of the data below?
{2a, 3a, 3a, 8a}

Answer:

1260

Step-by-step explanation:

212x3=636

104x6=624

636+624=1260

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph represent the value of goods at which profit of of the company is zero → Break even of the company

Maximum value of the graph represents the maximum profit of the company at certain price of the goods.

Part B

Interval in which the function is increasing → x = 0 to x = $3

Profit of the company increases when price of the goods increase from 0 to 3.

Interval in which the function is decreasing → x = $3 to x = $6

Profit of the company decreases when the price of the goods increases from 3 to 6.

Part C

Average rate of change of the function from x = a and x = b,

= [tex]\frac{f(b)-f(a)}{b-a}[/tex]

By applying the same rule,

Average rate of change of the function between x = 1 and x = 3

= [tex]\frac{120-60}{3-1}[/tex]

= [tex]\frac{60}{2}[/tex]

= 30

Answer:

550 sit-ups

Step-by-step explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

[tex](x_1, y_1) = (1,50)[/tex] --- May 1

[tex](x_2, y_2) = (2,100)[/tex] --- May 2

First, we calculate the slope of the line chart.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{100 - 50}{2-1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 50(x - 1) + 50[/tex]

[tex]y = 50x - 50 + 50[/tex]

[tex]y = 50x[/tex]

So, on May 11.

[tex]x= 11[/tex]

Substitute 11 for x

[tex]y = 50 * 11[/tex]

[tex]y = 550[/tex]

Answer:

y = [tex]\frac{1}{3}[/tex] x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = 1 + c ⇒ c = - 2 - 1 = - 3

y = [tex]\frac{1}{3}[/tex] x - 3 ← equation of line

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

Answer:

11%

Step-by-step explanation:

60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.

The bill is $54.

6/54 = 0.1 recurring

0.1 × 100 = 11.1%

11% is the percentage.

I hope that helps!! ^-^

Answer:

She will receive $14.85

Step-by-step explanation:

$3.95+$1.20=$5.15

$20-5.15=$14.85

Therefore the answer is $14.85

Hope that Helps

Answer:

Approximately 10.9

Step-by-step explanation:

[tex]a^2+b^2=c^2[/tex]

Plug in b (5) and c (12)

[tex]a^2+5^2=12^2\\a^2+25=144[/tex]

Subtract 25 from both sides

[tex]a^2+25-25=144-25\\a^2=119[/tex]

Take the square root of both sides

[tex]\sqrt{a^2} =\sqrt{119}[/tex]

a = approximately 10.9

I hope this helps!

I have attached an image showing the graph of the function.

Answer:

Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.

Step-by-step explanation:

First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.

Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.

This means that f(x) = 0 at x = 15 and at x = 70.

Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.

Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70

Answer:

123 cm²

Step-by-step explanation:

First of all, we need to know how exactly to find the area of a parallelogram.

Area of parallelogram= Base*Height

PARALLELOGRAM-

BASE= 17 ft

HEIGHT= 9ft

AREA= 17*9= 153 cm²

The area of parallelogram, will be considered as WHOLE AREA.

Now,

AREA OF MINI CAR-

length= 6 ft

Width= 5 ft

Area= 6*5= 30 ft ²

Square feet uncovere-

153 ft²- 30 ft²= 123 ft²

HOPE IT HELPS!

Answer:

1/5

Step-by-step explanation:

A: 1

B: 5

Scale is 1:5

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

Given the scale factor is 5 , then

the scale factor of areas is 5² = 25

Then A is [tex]\frac{1}{25}[/tex] of B's area

Answer:

$14.59

Step-by-step explanation:

commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.

x+25/x=5/2

5x=2(x+24) 5x=2x+48

5x-2x=48

3x=48 3x/3=48/3

the age of son=16

father=24+x 24+16=40

F=40 s=16

40/16=5:2

Answer:

A) CPCTC

Step-by-step explanation:

This part of the proof occurs right after two triangles are proven congruent. One could now conclude and establish that every part of each congruent triangle is congruent, which is what is most likely happening in this scenario.

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

2121, 3625,6540 and 8750 is the answer.

hope it helps

Answer:

d

Step-by-step explanation:

Answer

-[tex]\frac{7}{2\\}[/tex]

Step-by-step explanation:

Answer:

-7/2 or -3.5

Step-by-step explanation:

Answer:

the area of the trapezoid is (8 + 4).3/2 = 18

Answer:

18

Step-by-step explanation:

khan

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

Answer:

22/35

Step-by-step explanation:

width/length = 66/105 = 22/35

Answer:

66/105

it says width to the​ length

not length to length

Answer:

3 x 7 and 1/6 = 21 and 1/126

Step-by-step explanation:

your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.

ok the answer is b

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Devaughn = 2x

Sydney = x

x + 2x = 78

3x = 78

x = 78 / 3

x = 26

Hope that helps!

Answer:

26

Step-by-step explanation:

Lets say Devaughn age = d and Sydney age = s

Therefore,

d = 2s

and s + d = 78

Well, we can use substitution for d.

s + (2s) = 78

3s = 78

s = 26

Answer:

Step-by-step explanation:

y+ 20= x+ 15( Vertically opposite angles)

y+ 20- 15= x

x= y+ 5 __(1)

3x+ 5=4y- 15

Substituting (1)

3(y+5)+ 5= 4y-15

3y+15+5=4y- 15

y=15+20

y= 35

x= 40