The conference had 45 people and it increased by 40% the second day. How many more people came on that second day?

Given:

The phrase is "Wally mowed two more lawns than he mowed last week".

To find:

The expression that models the given phrase.

Solution:

Let the number of lawns mowed by Wally last week be n.

We know that, we use plus sign "+" for "more".

If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.

Lawns mowed this week = [tex]n+2[/tex]

The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Answer:

is is letter a since a ray has only 1 end point

Answer:

The lines are perpendicular.

Step-by-step explanation:

If the lines are parallel, then the slopes are equal

If the lines are perpendicular, then the slopes are negative reciprocals

If neither of the above occur, then the lines are neither parallel or perpendicular.

y = 2x + 3  is in slope-intercept form, so the slope = 2

2y + x = 6

Solve for y:    2y = -x + 6

                        y = -1/2(x) + 3    so the slope = -1/2

2 and -1/2 are negative reciprocals, so the lines are perpendicular.

Note:  Negative reciprocals have a product of -1.  2(-1/2) = -1

Answer:

Ultraviolent radient energy

Answer:

x = 16

Step-by-step explanation:

(x +4) : (x +12) ::  (x-1)(x +5)

As they are in proportion,

Product of means = Product of extremes

(x + 4)* (x +5) = (x + 12)(x - 1)   {Use FOIL method}

x*x +x*5 +4*x + 4*5 = x *x + x*(-1) +12*x + 12*(-1)

x² + 5x + 4x + 20 = x² - x +12x - 12            {Now combine like terms}

 x² + 9x + 20  = x² + 11x -12

x² + 9x +20 - x² - 11x = -12

x² - x² + 9x - 11x     = -12 - 20          

    0   - 2x              = - 32

                       -2x = -32          {Divide both sides by -2}

                           x = -32/-2

                          x = 16

Answer:

10-35-45 and 5-17.5-22.5

Step-by-step explanation:

Answer: 52.5cm²

Step-by-step explanation:

Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.

To work out the area of the rectangle you would have to do 8x5=40.

To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.

Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5

To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²

Hope this helps :)

Answer:

3 student tickets and 5 adult tickets

Step-by-step explanation:

Answer:

3x-x+2=4

Step-by-step explanation:

Answer:

This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm

Step-by-step explanation:

To confirm if a triangle is a right triangle, we must use the Pythagorean thm

a^2 + b^2 = c^2

23^2 + 11.4^2 = 21.2^2

529 + 129.96 = 449.44

658.96 ≠ 449.44

Answer:

x=39 y=51

Step-by-step explanation:

Step-by-step explanation:

2x = 78 ( they're vertical angles)

divide both sides by 2

x = 39 degrees( I don't if that's correct as I did it in my head so double check) hope this helps!!! MARK BRAINLIEST IF YOU GET IT RIGHT PLEASE!!

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

Answer:

d

Step-by-step explanation:

9514 1404 393

Answer:

  (i)  5/12

  (ii)  720

  (iii)  420

Step-by-step explanation:

(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.

  The person who lost received 5/12 of the total votes.

__

(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...

  120 votes = 1/6(total votes)

  total votes = 6×120 votes = 720 votes

There were 720 registered voters.

__

(iii) The winner received ...

  (7/12)(720 votes) = 420 votes . . . received by the winner

Answer:

one hundred billion

Step-by-step explanation:

10^6 x 10^5 = 10^11

10^11 = 100,000,000,000 or  one hundred billion

I hope that's what you meant ^-^

Answer: 43.75%

Step-by-step explanation:

The percentage change is given by:

= [Final value - initial value / Initial value] x 100

The percentage increase in the average number of people from 2005 to 2012 is 56.25%.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

The average number of people in 2005 = 8000.

The average number of people in 2012 = 12500.

The change in the average number of people from 2005 to 2012.

= 12500 - 8000

= 4500

The percentage change in the average number of people at the games from 2005 to 2012.

= [Change in the average number of people / Average number of people in 2005] x 100

= (4500 / 8000) x 100

= 450/8

= 56.25%

Thus,

The percentage increase in the average number of people from 2005 to 2012 is 56.25%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

Answer:

y=x+4

Step-by-step explanation:

...

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

Answer:

24

Step-by-step explanation:

14 + 10 = 24.

The Question has given hints.

Answer:

linear

Step-by-step explanation:

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Answer:

Step-by-step explanation:

1st Δ = 35°

2nd Δ = 90° ...... ( right Δ triangle )

3rd Δ = let x

35° + 90° + x = 180°

125° + x = 180°

x = 180° - 125°

x = 55°

Answer:

7.74 cm2

Step-by-step explanation:

We need to find the area of both the square and the circle and then subtract the two.  Inscribed means draw within a figure so as to touch in as many places as possible.  So the circle is drawn inside the square.  The opposite is circumscribed, meaning drawn outside.

Asquare = s2 = 36 cm2 so the side is 6 cm

6 cm is also the diameter of the circle and thus the radius is 3 cm

A circle = πr2 = 3.14 * 32 = 28.28 cm2

The resulting difference is 7.74 cm2

Answer:

3/4

Step-by-step explanation:

1/2 : 2/3

X : 3/3

3/4 : 3/3

Answer: 3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))