fran and 8 friends must share 3 liter of water. how get?​

Answer:

3x-100

Step-by-step explanation:

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer:

Answer is 5 3/4

Step-by-step explanation:

Thanks Hope this helps

Answer:

D is the answer

Step-by-step explanation:

For a: g(x) = 1 when x = 1, for f(x) 1^2 - 2(1) + 2 = 1, a is true.

For b: Both functions do have all real numbers for their domain, b is true

For c: the y-intercept of g(x) is x = 0, for f(x), it is 0^2 - 2(0) + 2 = 2, c is true

For d: g(3) = 7, f(3) = 3^2 - 2(3) + 2  = 5, d is false.

Answer:

jfi6+_4655vud

Step-by-step explanation:

Answer: 472392

Step-by-step explanation:

the pattern is three times the last number e.g.

8x3=24

24x3=72

72x3=216

Then to find the 11th term you continue this pattern.

5=648

6=1944

7=5832

8=17496

9=52488

10=157464

11=472392

Answer:

120 degrees is x

Step-by-step explanation:

because both are equal angles

btw nice Pikachu meme

Answer:

44

Step-by-step explanation:

Step 1: Create an equation to solve for ∠Z

Recall that trig ratio tangent = Opposite over Adjacent

Opposite of ∠Z = 75 and adjacent of ∠Z = 79

Hence, \(tan(z)=\frac{75}{79}\)

We now solve for z

Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1

\(tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147\)

We're left with z = 43.51213147

Our last step is to round to the nearest degree,

We get that ∠Z = 44

Answer:

Step-by-step explanation:

No, he is not correct.  A defect in the coin, or a rough surface, could affect the outcome (which in theory should be "the probability of getting heads" is 0.50.

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

range of g(x):  (- ∞, 0)

Step-by-step explanation:

In the absolute value function, the value of a determines whether the graph opens up or down, as well as the wideness or narrowness of the graph. A positive value for a implies that the graph opens up, and is narrower than the parent function, f(x) = |x|.

Given that a < 0 for the function, g(x) = a|x|, then it means that it is a downward-facing parabola, and its maximum point is the vertex. This implies that the y-values will be 0 at most.

Therefore, the range of the function, g(x) is (- ∞, 0).

The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

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Refer to the images attached. Please let me know if you have any questions regarding how I did things or why.

Answer:

2,4 3,5

Step-by-step explanation:

Answer:

  A. Divide both sides by 2/3, then subtract 57 from both sides.

Step-by-step explanation:

You want to know the steps to solve 2/3(y +57) = 178 for y.

The variable has 57 added to it, and the sum is multiplied by 2/3. To solve for y, you need to undo these operations in reverse order.

First, you divide by 2/3.

  y +57 = 267

Then you subtract 57.

  y = 210

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

there are 10 triangles

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

use quadratic formula:  (-b ±√b²-4ac) ÷ 2a

a = 10,  b = -9,  c = -6

Answer:

8×2×5=80

Step-by-step explanation:

8×2=16 Then 16×5=80 or do it easier like this 5×2=10 then 10×8=80

a)The value of acceleration will be 4.8 m/s²

b)The total distance travelled is 505 m.

a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.

We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point  for the car when it passes him), so our initial position is 0.

We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.

With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:

xc = vx*t

xm= 1/2*a*t²

When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :

⇒ vx*t = 1/2*a*t²

We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.

⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²

Solving for a:

a = (2* 35 m/s) / 14.5 s = 4.8 m/s²

b) Replacing the value of a in the equation for xm, we have:

xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.

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The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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Answer:

88 square cm

Step-by-step explanation:

Surface area of down rectangular prism:

      l = 6cm ; w = 3 cm & h = 2 cm

   \(\sf \boxed{Total \ surface \ area \ of \ rectangular \ prism = 2*(lw + wh+hl)}\)

                                                                       = 2*(6*3 + 3*2 + 2*6)

                                                                        = 2* (18 + 6 + 12)

                                                                         = 2 * 36

                                                                          = 72 cm²

Lateral surface area of the top rectangular prism:

    l = 3 cm

    w = 1 cm

     h =  4 - 2 = 2 cm

         LSA = 2h( l + w)

                = 2*2 *( 3 + 1)

                 = 4 * 4

                 = 16 cm²

Surface area of the shape = 72 + 16

                                              = 88 cm²

Answer:

a = 88 cm2

Step-by-step explanation:

\(a=(4)(3)+2(4)(1)+2(5)(2)+2(3)(2)+(1)(3)+6(3)+5(3)=12+8+20+12+3+18+15\)

\(a=88cm^{2}\)  

Hope this helps

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Answer:

9(x-5)

Step-by-step explanation:

- First multiply 6 and 4

-Then subtract by 12

-Add 3

-Leave the variable and number that are in paranthese

Answer:

28

Step-by-step explanation:

4,8,12,16,20,24,28. +4 every time

Answer:

28

Step-by-step explanation:

multiples of 4: 4,8,12,16,24,28

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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Step-by-step explanation:

the average change rate for a function g(x) is defined for an interval of x values as

(g(interval end) - g(interval begin))/(interval end - interval begin)

in our case that is

(g(2013) - g(2008))/(2013 - 2008) =

= (24 mil. - 186 mil)/5 = -162 mil./5 =

= -162,000,000 / 5 = -32,400,000

that means that as a mean value there were 32,400,000 digital cameras shipped less every year.

in other words, fewer and fewer digital cameras are sold. the demand is strongly declining.

actually, following the mean values and their trend, there should have been no new digital cameras shipped in 2014 anymore (as 24 mil. - 32.4 mil is less than 0).

Considering the given equations y = 5ˣ and y = log ₅ x, the classification of the statement as true and false are follows

a) false

b) true

c) false

d) true

The given equations y = 5ˣ and y = log ₅ x are inverse of each other this is to is shown below.

When two functions say A = 5ˣ and B = log ₅ x are inverse the output of function A (say 3125) when substituted as input of B (log ₅ 3125) will yield an output (5) same as the input of A (5)

For y = 5ˣ - exponential function

at x = 5, y = 5⁵ = 3125

at x = 2, y = 5² = 25

at x = 0, y = 5⁰ = 1

For y = log ₅ x - logarithmic function

at x = 3125, y = log ₅ 3125 = 5

at x = 25, y = log ₅ 25 = 2

at x = 1, y = log ₅ 1 = 0

Hence we can say that logarithm is the inverse of exponential function

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