A VCR and TV were bought for 78.000 each. The shopkeeper made
loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss
percent on the whole transaction.​

Given:

Frequency distribution table.

Mode = 34.5

To find:

The value of missing frequency 'f'.

Solution:

Formula for mode is

[tex]Mode=l+\dfrac{f_1-f_0}{2f_1-f_0-f_2}\times h[/tex]

where, l is lower limit of modal class, [tex]f_1[/tex] is frequency of modal class, [tex]f_0[/tex] is frequency of preceding class, [tex]f_2[/tex] is frequency of succeeding class, h is class size.

Mode is 34.5, so the modal class is 30-45. So,

[tex]l=30,f_1=f,f_0=7, f_2=3,h=45-30=15[/tex]

Putting these values in the above formula, we get

[tex]34.5=30+\dfrac{f-7}{2f-7-3}\times 15[/tex]

[tex]34.5-30=\dfrac{f-7}{2f-10}\times 15[/tex]

[tex]4.5=\dfrac{f-7}{2f-10}\times 15[/tex]

Divide both sides by 15.

[tex]\dfrac{4.5}{15}=\dfrac{f-7}{2f-10}[/tex]

[tex]0.3=\dfrac{f-7}{2f-10}[/tex]

[tex]0.3(2f-10)=f-7[/tex]

[tex]0.6f-3=f-7[/tex]

Separating variable terms, we get

[tex]0.6f-f=3-7[/tex]

[tex]-0.4f=-4[/tex]

Divide both sides by -0.4.

[tex]f=\dfrac{-4}{-0.4}[/tex]

[tex]f=10[/tex]

Therefore, the value of f is 10.

Answer:

3/4 in 1/5 of 60 sec

1/5*60=12

3/4 in 12 seconds

3/4*5=15/4=3 3/4

He multiplied 3/4 by 1/5 instead of by its reciprocal , 5.

12/4=3

3 mph

Answer:

3/4 in 1/5 of 60 sec

1/5*60=12

3/4 in 12 seconds

3/4*5=15/4=3 3/4

Step-by-step explanation:

Answer:

Its D i got it right

Answer:

the answer is d if u look u will see that h is the

Step-by-step explanation:

Answer:

if you have a specific math problem i can help you with it!

Step-by-step explanation:

you essentially translate the words into math. for example if the problem says something like "he has 5 more pieces of candy than her" you would set a variable, in this case "x," and set it up like this.

since "her" is the original amount, we'd do it like this:

her = x

he = x+5

then, we'd figure out what these values have to equal to. let's say there are 9 total pieces of candy. so this is how we'd do it:

(x)+(x+5)=9

now we solve:

2x+5=9

2x=9-5

2x=4

x=2

hope this somewhat helped! if you have more questions, feel free to ask me!

Answer:

(1,4)

Step-by-step explanation:

Answer:

1, 4

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

y = mx + b

m represents the slope, and on this equation, instead of m we have -3. So -3 is the slope

Answer:

Slope m = -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -3x + 1

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 1

Answer:

(a.) B: 8,000

(b.) C: 800

(c.) A. 10 times

Step-by-step explanation:

8762 has 3 digits after the 8. 8,000 has 3 digits after the 8

851 has 2 digits after the 8. 800 has 2 digits after the 8.

8,000 ÷ 800 = 10

Another way to do it is: 8000 has 3 zeros and 800 has 2 zeros.

3 - 2 = 1. 10 has 1 zero.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

dude

if 3 = 15

5x = 5.5=25

Step-by-step explanation:

hope it helps

Answer: D

Step-by-step explanation: Correct me if I'm wrong.....

Answer:

answer is C. 19%.

sjjsnsmsmsmamsmsjsk

Answer:

AB || YZ, BC || XY, AC || XZ

Step-by-step explanation:

We know that

a=1 and b= -2

{3*1-4*(-2)+2} .{5*1+6}

= (13-11)

=2

Answer:

143

Step-by-step explanation:

(3a – 4b + 2) × (5a + 6)

a = 1 ; b = - 2

(3(1) – 4(-2) + 2) × (5(1) + 6)

Inputting the values of a and b

(3 - (-8) + 2) * (5 + 6)

(3 + 8 + 2) * (11)

13 * 11

= 143

Answer:

1

Step-by-step explanation:

Answer:

x = 1/6

Step-by-step explanation:

Rewrite the equation to get 5/x = 30.  Multiply x on both sides to get 5 = 30x.  Then divide 30 on both sides to get your x value which is 1/6.

Answer:

x= 1/6

Step-by-step explanation:

multiply both sides by x

divide both sides by 30

simplify 5/30 to 1/6

Answer:

placebo.

Step-by-step explanation:

Answer:

Explanation:

y= x-4

is in the slope-intercept form for a linear equation,

y= mx+b

, where

m

is the slope and

b

is the y-intercept. In the given equation,

m= 1

and

b= 4

.

To make a table to graph, give various values to

x

and solve for

y

.

Ordered Pairs

x......y

4...8

2....6

0.......4

2......2

4......0

Plot each ordered pair and draw a straight line through the points.

graph{y=-x-4 [-14.24, 14.23, -7.12, 7.12]}

Answer:

The answer would be 45

Step-by-step explanation:

Answer:

SA= 84 cm^2

Step-by-step explanation:

So first locate all the surfaces

we got 5 sides in total

Now calculate each one

Lets start with the 2 triangles

so formula for area of triangl is 1/2(b*h)

So in this case it’s 6

Now there are 2 identical triangles

So Times the 6 by 2

You’ll get 12

Thats 2 sides

Now for the side with the rectangle of 5cm and 6cm

Area of rectangle is 5*6=30

That would onay be 1 side

Now for the bottom of the prisim which is the side with 4cm and 6cm

Same rectangle so multiply

4*6=24

Thats another side down

The last side is on the left with the back not visible. The two dimensions are 6 and 3

Now multiply 6*3

18

Now add up your total

18+24+12+30=84

So 84 cm^2 OR 84 square centimeters

Answer:

84 [tex]cm^{2}[/tex]

Step-by-step explanation:

To find the surface area of a prism, one will have to find the area of each of the sides of the prism, then add the areas up. First, find the dimensions of each of the sides

Front; 5 x 6

Front triangle; 3 x 4

Back triangle; 3 x 4

Bottom; 4 x 6

Back; 3 x 6

The front is a rectangle, hence one has to [tex]base * height[/tex] to find the area;

5 x 6

= 30

The front triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;

[tex]\frac{3*4}{2}[/tex]

= 6

The back triangle is a triangle, hence on has to do [tex]\frac{base * height}{2}[/tex] to find the area;

[tex]\frac{3*4}{2}[/tex]

= 6

The back is a rectangle, so one has to do [tex]base * height[/tex] to find the area;

4 * 6

= 24

The bottom is a rectangle,  o one has to do [tex]base * height[/tex] to find the area;

3 * 6

= 18

Noe one has to add up all the areas to find the total surface area;

Front + Front_triangle + Back_triangle + Bottom + Back

30 + 6 + 6 + 24 + 18

= 84

Answer:-0.00714

Step-by-step explanation: STEP

1

:

1

Simplify —

5

Equation at the end of step

1

:

1

0 - — ÷ 7 ÷ 4

5

STEP

2

:

1

Divide — by 7

5

Equation at the end of step

2

:

1

0 - —— ÷ 4

35

STEP

3

:

1

Divide —— by 4

35

Equation at the end of step

3

:

1

0 - ———

140

STEP

4

:

Final result :

-1

——— = -0.00714

140

Answer: 2 one number 2

Step-by-step explanation:

It's is number 2

The required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
Given expression, (4y - 3)² = 72

Simplifying the above expression:
(4y - 3)² = 72

4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4

Thus, the required solution of the quadratic equation  (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

Answer:

Step-by-step explanation:

The slope of the trend line in the given scatter plot, using the two chosen points (236, 2855) and (248, 2865) is: 0.83.

The slope of a trend line = change in y/change in x.

Given the scatter plot, we can choose the following points, which we would use in finding the slope of the trend line:

(236, 2855) and (248, 2865).

Slope = (2865 - 2855)/(248 - 236)

Slope = 10/12

Slope = 0.83

Therefore, the slope of the trend line in the given scatter plot, using the two chosen points (236, 2855) and (248, 2865) is: 0.83.

Learn more about slope of a trend line on:

https://brainly.com/question/3688621

Answer:

Apply quaratic equation

Answer:

A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/12 ("f of x equals x divided by 12")

Step-by-step explanation:

Answer:well we need to know how mmch tim has so like

x?+2 is amy

x?+2*5 is sarah

Step-by-step explanation:

Answer:

The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.

The rule of dilation is given by

Dilation: (x, y)  →  (1/2x, 1/2y), centered at (0, 0)

D(0, 2)  → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)

L(1, 5)  → L'(1/2x, 1/2y) →  L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)

W(5, 4)  → W'(1/2x, 1/2y) →  W'(1/2(5), 1/2(4)) = W' (5/2, 2)

Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

`The figure of the dilated image is attached below.

Answer:

The number of people in total that came to the three showings is 138 people

Step-by-step explanation:

The amount Chloe collected each night for admission to her play = $541

The admission  charge for each child = $9

The admission  charge for each adult = $17

The number of people attending the play each of the three nights are different

Let x represent the number of children that attend the play on the first night and ley y represent the number of adults that attend, we have;

9·x + 17·y = 541

For the second night, we have;

9·a + 17·b = 541

For the third night, we have;

9·c + 17·d = 541

27·(x + a + c) + 51·(y + b + d) = 1,623

Using Microsoft Excel, where we create a series with the first term = 541 and the common difference, d = -9 and number the adjacent column serially from 1 to 61 and the on the right column we divide the created series by 17 then we search for the whole number combinations, we get three possible combinations as follows;

12 children and 26 adults

29 children and 17 adults

46 children and 8 adults

Therefore, the number of people in total that came to the three showings = 12 + 26 + 29 + 17 + 46 + 8 = 138

The number of people in total that came to the three showings = 138 people.