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3 years ago

Sweet T has 2 orange picks for every green ´pick. if six of the picks are green how many are orange

Mathematics

1 answer:

Murrr4er [49]3 years ago

8 0

The answer would be 12 orange because if their are 2 orange picks in 1 green pick, you would do 2 times 6 equals 12.

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The New England Revolutions are having a charity soccer event for which tickets cost $18 per person. However, the ticket agency

julia-pushkina [17]

Let as consider, we need to find the fixed fee.

Given:

Cost of each ticket = $18

Number of tickets = 5

Total cost = $93

To find:

The fixed fee.

Solution:

Let x be the fixed fee..

Cost of 1 ticket = $18

Cost of 5 ticket = $(5 × 18)

= $90

Total cost 5 tickets = Fixed fee + Cost of 5 tickets

$93=x+90$

$93-90=x$

$3=x$

Therefore, the fixed fee is $3.

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4 years ago

You are given that p(event

likoan [24]

You do not.

We have not been told if the events are mutually exclusive or not.

7 0

4 years ago

Write the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10).

Serjik [45]

Answer:

$\displaystyle f(x)=x^2+2x+2$

Step-by-step explanation:

<u>System Of Linear Equations </u>

In this problem, we'll need to solve a 3x3 system of linear equations because we have three unknowns and three conditions.

We are required to find the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10)

The general quadratic function can be written as

$\displaystyle f(x)=ax^2+bx+c$

We need to find the values of a,b, and c. Let's use the first condition, i.e. f(-1)=1

$\displaystyle f(-1)=a(-1)^2+b(-1)+c$

$\displaystyle f(-1)=a-b+c$

$\displaystyle a-b+c=1.....[eq\ 1]$

Now we use the second condition f(1)=5

$\displaystyle f(1)=a(1)^2+b(1)+c$

$\displaystyle f(1)=a+b+c$

$\displaystyle a+b+c=5.......[eq\ 2]$

Finally, we use the third condition f(2)=10

$\displaystyle f(2)=a(2)^2+b(2)+c$

$\displaystyle f(2)=4a+2b+c$

$\displaystyle 4a+2b+c=10....[eq\ 3]$

We put together eq 1, eq 2, and eq 3 to form the system

$\displaystyle \left\{\begin{matrix}a-b+c=1\\ a+b+c=5\\ 4a+2b+c=10\end{matrix}\right.$

Adding the first two equations we have

$\displaystyle 2a+2c=6$

$\displaystyle a+c=3$

And also

$\displaystyle b=2$

Using the above equation and the value of b in the third equation, we have

$\displaystyle \left\{\begin{matrix}a+c=3\\ 4a+c=6\end{matrix}\right.$

Subtracting the first equation from the second

$\displaystyle 3a=3$

$\displaystyle a=1$

And therefore

$\displaystyle c=2$

Now we have all the values, the quadratic function is

$\displaystyle \boxed{f(x)=x^2+2x+2}$

6 0

3 years ago

What is the slope of the line on the graph?

tamaranim1 [39]

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

6 0

3 years ago

2/5 g = 3/5 help I don't know what the answer is

Softa [21]

Answer:

Step-by-step explanation:

2/5 g = 3/5

g = 3/5 - 2/5 = 1/5

5 0

3 years ago