6(3x/2-4) =30

Side note: 3x/2 is a fraction

equation:    f(x) = 3/2x - 3

the line is linear and proportional

the line is linear because it has a steady rate of change, which is 3/2, and the equation is in the y=mx+b form. it is also proportional because as the x value increases, the y value also increases.

slope: 3/2

the y intercept is -3

Answer:5 multiplied by x-2

x-2 multiplied by 5

Step-by-step explanation: I hope this helps!

I'm not sure If flipping the equation counts but that's what I think would be right.

Answer:

49 is the missing angle.

Step-by-step explanation:

just add the other angles then subtract by 180 to get your answer! have a nice day!

Answer:

40,000

Step-by-step explanation:

Given that:

Percentage Cost price of jewelry = 100%

Jewelery was sold at loss of 5% = (100%- 5%) = 95%

If sold at 5200 more ; profit made = 8%

That is ; (100% + 8%) = 108%

Difference between loss percentage and profit percentage = change in price sold

(108% - 95%) = 5200

13% = 5200

If ;

0.13 = 5200

The percentage cost price = 100% will be;

0.13 = 5200

1 = x

0.13x = 5200

x = 5200 / 0.13

x = 40,000

Answer:

See answers below for explanations (answers are in bold)

Step-by-step explanation:

Problem 1 (Top left):

Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer

Problem 2 (Top right):

Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer

Problem 3 (Bottom left):

We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2.  The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer

Problem 4 (Bottom right):

This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2  

Answer:

it is $10.83

Step-by-step explanation:

Answer:

32 seniors, 41 adults, and 23 children were admitted.

Step-by-step explanation:

To make things a bit simpler, we can represent all three kinds of tickets in terms of one variable, [tex]x[/tex]. Let the number of senior visitors be [tex]x[/tex]. Then, since 9 more adults were admitted as compared to the seniors, we can let the number of adult visitors be [tex]x+9[/tex]. Therefore, since there were 96 visitors in total, we know that the number of child visitors is 96 subtracted by the total number of adult and senior visitors. The total number of adult and senior visitors is [tex]x+x+9=2x+9[/tex]. Thus, the number of child visitors is [tex]96-(2x+9)=96-2x-9=-2x+87[/tex].

Now, all we have to do is write an equation to solve for [tex]x[/tex]. Since senior admission costs $3, we can represent the money earned from it as [tex]3*x=3x[/tex]. Since adult admission costs $8, we can represent the money earned from it as [tex]8*(x+9)=8x+72[/tex]. Finally, since child admission costs $5, we can represent the money earned from it as [tex]5*(-2x+87)=-10x+435[/tex]. Since we know that the zoo collected $539 in total, we can write the following equation to solve for x:

[tex]3x + 8x+72-10x+435=539[/tex]

[tex]x+507=539[/tex] (Simplify LHS)

[tex]x=32[/tex] (Subtract 507 from both sides)

Therefore, 32 seniors were admitted. Since [tex]x=32, x+9=32+9=41[/tex], so 41 adults were admitted, and finally, since [tex]x=32,-2x+87=-2*32+87=-64+87=23[/tex], so 23 children were admitted. Hope this helps!

Answer:

This is a bit complicated, but the answer would be 2.28831354(v)x10(^)18, or otherwise known as 2283135409967847400.

Step-by-step explanation:

Answer:

D A N G uh,

Step-by-step explanation:

i dont think any person can physically do that

proof i tried ;-;

Answer:

a

Step-by-step explanation:

Answer:

Between 3 and 3.5

Step-by-step explanation:

more than 9 and less than 16. 9 is closer to 10 making it c.

For this case, what we must do is solve the following system of equations:  tan (50) = h / x  tan (40) = h / (x + 50)  

Solving the system we have:  (x + 50) * tan (40) = h  (x) * tan (50) = h  

Matching:  (x + 50) * tan (40) = (x) * tan (50)  

Rewriting:  x (tan (50) - tan (40)) = 50 * tan (40)  x = 50 * tan (40) / (tan (50) - tan (40))  x = 118.9692621  

Substituting:  h = (x) * tan (50)  h = (118.9692621) * tan (50)  h = 141.7820455

B. 141.8ft

Answer:

[tex]Meeting\ Time = 6:03\ pm[/tex]

Step-by-step explanation:

Given

[tex]Start\ Time= 5:45pm[/tex]

[tex]Lixin = 18\ min/round[/tex]

[tex]Khairul = 360\ seconds/round[/tex]

[tex]Devi = 4minutes/2\ rounds[/tex]

Required

Determine their next meeting time

First, we need to get their unit rate in minutes per round

[tex]Lixin = 18\ min/round[/tex]

[tex]Khairul = 360\ seconds/round[/tex]

Convert 360 seconds to minutes

[tex]Khairul = \frac{360}{60} min/round[/tex]

[tex]Khairul = 6 min/round[/tex]

[tex]Devi = 4minutes/2\ rounds[/tex]

Divide by 2/2

[tex]Devi = 2mins/round[/tex]

So, we have:

[tex]Lixin = 18\ min/round[/tex]

[tex]Khairul = 6 min/round[/tex]

[tex]Devi = 2mins/round[/tex]

Next, is to determine the LCM of 18, 6 and 2

[tex]18=2 * 3 * 3[/tex]

[tex]6 = 2 * 3[/tex]

[tex]3 = 3[/tex]

Their LCM is:

[tex]LCM = 2 * 3 * 3[/tex]

[tex]LCM = 18[/tex]

This means that they will meet 18 minutes after their initial time of departure.

So:

[tex]Meeting\ Time = 5:45\ pm + 18\ minutes[/tex]

[tex]Meeting\ Time = 6:03\ pm[/tex]

I think its 8×4√16

Explenation:

√128 = 11.3

√16×√8=6.3

8√2= 11.3

so i think you see the patern there and the answer should be 11.3 or 6.3

8√4×√2= 19

19÷2=9.5

9.5÷2=4.75

since 5 is too big to put in the equation and equal 128 then its 4.

To find the second one just do 4², which is 16

So yeah 8×4√16

Answer:

f(x) = x – 3

Step-by-step explanation:

The equation that is written in function notation, with x as the independent variable is D. f(x) = x – 3

To write the equation as an independent variable, we simply need to isolate y.

The next step would be to subtract x from both sides:

-y = 3 - x

To eliminate the -ve sign in y, we would divide both sides by -1

y= -3+x

If we rearrange, the answer would be:

f(x) = x – 3

Read more about equations and functions here:

https://brainly.com/question/961137

#SPJ9

Answer:

[tex]r = -2[/tex]

Step-by-step explanation:

Given

[tex]-2.5 < r < 7[/tex]

Required

Determine the smallest value or r

For an inequality [tex]a < r < b[/tex]

The smallest value is represented as:

[tex]r>a[/tex]

In this case:

[tex]a = -2.5[/tex]

[tex]b = 7[/tex]

So:

[tex]r>a[/tex] becomes

[tex]r > -2.5[/tex]

r > -2.5 implies that the value of r is greater than -2.5

The smallest integer value after -2.5 is -2

Hence, the smallest value of r in this case is:

[tex]r = -2[/tex]

Answer:

Step-by-step explanation:

D

Answer:

7.8 * 10^7

Step-by-step explanation:

Group coefficients together and exponents together to multiply numbers in scientific notation.

( 7.8  *  1 )  ( 10 ^3  * 10^4)

Multiply  7.8 times 1.

7.8 * (10^3 * 10^4)

Use the power rule  a^m * a^n = a^(m+n) to combine exponents. So, add 3 and 4

7.8 * 10^7

Step-by-step explanation:

ttgiffkydfhigdfgkfee FM 8

Complete Question

The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.

Part A

Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.

Part B

The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?

Answer:

 [tex]p=4A-140[/tex]

[tex]T =or 62sec[/tex]

Step-by-step explanation:

From the question we are told that

The width of the field is seventy yards shorter than the length.

a) Generally the equation for width and length is given as

         [tex]B=x-70[/tex]

Mathematically  in finding the perimeter [tex]p[/tex] around the field

         [tex]p=2(A+B)[/tex]

         [tex]p=2(2A-70)[/tex]

         [tex]p=4A-140[/tex]

b)Generally[tex]A=120[/tex]

Mathematically

         [tex]p= 4(120) -140[/tex]

         [tex]p=480-140[/tex]

         [tex]p= 340[/tex]

Therefore

Yards ran by individual athlete[tex]Y[/tex]

          [tex]340*5=1700\\Y=1700[/tex]

Time elapsed in a lap T

    [tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]

    [tex]T =or \hspace 662sec[/tex]

Answer:

I think its C

Step-by-step explanation:

Because if you add the bottom together you get [tex]\frac{1}{\frac{1}{2x+5} }[/tex]. When you divide the bottom part flips so it would be [tex]1*2x+5[/tex] which ends up being C

I think this is right but I may be wrong

Answer:

B

Step-by-step explanation:

Simplify the sum on the denominator, that is

[tex]\frac{1}{x+2}[/tex] + [tex]\frac{1}{x+3}[/tex]

multiply numerator/ denominator of first fraction by x + 3

Multiply numerator/ denominator of second fraction by x+ 2

= [tex]\frac{x+3}{(x+2)(x+3)}[/tex] + [tex]\frac{x+2}{(x+2)(x+3)}[/tex]

= [tex]\frac{2x+5}{x^2+5x+6}[/tex]

The original fraction is now

[tex]\frac{1}{\frac{2x+5}{x^2+5x+6} }[/tex]

= 1 × [tex]\frac{x^2+5x+6}{2x+5}[/tex]

= [tex]\frac{x^2+5x+6}{2x+5}[/tex] → B

Answer:

4x^2 + 6x - 6

Step-by-step explanation:

x^2 + 2x - 5 - (-3x^2 - 4x + 1)

x^2 + 2x - 5 + 3x^2 + 4x - 1

4x^2 + 6x - 6

Plug in the equations and combine like terms.

Hope this helps!

Answer: 6 recipes

Step-by-step explanation: Just divide the 6 cups of buttermilk by 7/8 because each recipe need 7/8 cup of butter milk. You will get a number like this 6.857142857142857 (there are probably more decimals that come after it.) But, all the numbers after the 6 are useless because more recipes can't be made with those because you need at least 7/8  cups for one recipe. So, this will make 6 recipes. Hope this helps!

Answer:

13

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

19 - 5 < x < 19 + 5

14 < x < 24

Thus the smallest whole number length of the third side is 13

Answer:

p = 2

Step-by-step explanation:

p + 4/p - 4

multiplying through by p,

p×p + 4/p ×p - 4×p

p² + 4 - 4p = 0

p² - 4p + 4 = 0

factorizing,

p(p - 2) -2(p - 2) =0

(p -2)(p -2) =0

p-2 =0

p=2

Answer:

the constant inequality of my life, always close but never there

Answer:

-3x-3=-12 +3

-3x=-9 ÷(-3)

x=3

Step-by-step explanation:

prove me wrong

Answer:

x = 3

Step-by-step explanation:

-3x - 3 = -12

    +3     +3

-----------------------

-3x = -9

-3x/3 = -9/3

-----------------------

-x = -3; x = 3

Check Work:

-3(3) - 3 = -12

-9 - 3 = -12

-12 = -12 (true)

Answer:

x = 1

Step-by-step explanation:

12.3 + 2.3 = 14.6

If you multiplied 12.3 by 1 it would still be 12.3

Given:

The interior angle of a regular polygon is 132 degrees.

To find:

The given statement is possible or not.

Solution:

Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.

Then, the exterior angles are

[tex]180^\circ-132^\circ=48^\circ[/tex]

We have, n vertices. So, the number of exterior angles is n.

Sum of all exterior angles = 48n degrees

We know that, sum of all exterior angles of a regular polygon is always 360 degrees.

[tex]48n=360[/tex]

[tex]n=\dfrac{360}{48}[/tex]

[tex]n=7.5[/tex]

Number of vertices is always a whole number. So, it cannot be a fraction value.

So, our assumption is wrong.

Therefore, a regular polygon cannot have an interior angle of 132 degrees.

Step-by-step explanation:

the answer is 3

This is because you divide both heights, 12 and

4 and you get 3.

Then divide 48 and 16 which gives you 3.

hope it helps!

Answer:

9!!!  

Step-by-step explanation:

12×48= 576

4×16 = 64

576÷64 = 9

I got it right on my lesson.

Answer:

140 cm

Step-by-step explanation:

Given that:

Total length of ribbon present with Billy = 2.4 m

This ribbon is to be shared with 12 friends evenly.

Billy is doing this work of making craft for the past many years.

To find:

How many centimeters of ribbon that 7 friends will get?

Solution:

First of all, let us find out what length of ribbon will each person get.

Length of ribbon to be shared with each person = Total length of ribbon divided by total number of persons

Length of ribbon to be shared with each person = [tex]\frac{2.4}{12} = 0.2\ m[/tex]

Now, The length of ribbon that 7 friends will get = 7 [tex]\times[/tex] 0.2 = 1.4 m

1 m = 100 cm

1.4 m = 1.4 [tex]\times[/tex] 100 cm = 140 cm