30

people gathered to watch a baseball game.

​While talking, they realized that 11

of them were Toronto Blue Jays fans.


What is the probability that a randomly selected person from the group is a Toronto Blue Jays fan?

​

​Type the answer in simple fraction form.

Each drink costs $3.25 and each popcorn costs $8.

Step-by-step explanation:

Step 1:

Assume each drink costs x dollars and each popcorn costs y dollars.

From the given data, we can write the following equations;

[tex]12x + y = 47[/tex], take this as equation 1,

[tex]3x+9y=81.75[/tex], take this as equation 2.

Step 2:

We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get

[tex]3x+9y = 81.75[/tex], take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.

[tex]-35y = -280, y = \frac{280}{35} = 8[/tex]

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y is substituted in equation 1.

[tex]12x+8 = 47, 12x= 39[/tex],

[tex]x=\frac{39}{12} = 3.25[/tex]

So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.

Answer:

yes (if no payments are made)

Step-by-step explanation:

If you have no new charges and you make no payments, you will incur interest costs every month.

Hence yes, you balance will increase by amount of interest owed.

Answer:

D

Step-by-step explanation:

Both equations are same

Answer:

D. 3x - 5 = -5 + 3x

Step-by-step explanation:

3x - 5 = -5 + 3x

3x = 3x

x = x (Infinitely many solutions)

That would be the line of best fit.

The line of best fit is a straight line that best represents the data on a scatter plot.

Hope that helps, :)

Michelle will have $28200 in account after one year.

Step-by-step explanation:

Given ,

P ( Principle amount )= $2000

r ( rate of interest)= 2.10% per month

n (number of times rate of interest is applied) = 12

t ( time period ) = 1 years

Compound Interest = P ( 1 + r/n ) * n*t

⇒  [tex]2000 (1+2.10/12) * 12*1[/tex]

⇒ [tex]2000*12*1.175[/tex]

⇒ 28200

Michelle will have $28200 in account after one year.

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)

Answer:

Step-by-step explanation:

8.40 ×10°

Answer:

eight and four tenths

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

since there are 12 inches in one foot, just do 12 x 3 which equals 36.

Answer:

1436

Step-by-step explanation:

Answer:

  subtract one from the other

Step-by-step explanation:

You find the difference between points the same way you find any difference: you subtract one from the other.

Points are generally described by an ordered pair. When you subtract one point from the other, you subtract corresponding parts of the ordered pair:

  (a, b) - (c, d) = (a-c, b-d)

__

Sometimes, when you're interested in finding the difference between points (x, y), you want to do something different with the y-difference than you do with the x-difference.

For example, the slope of a line is calculated as the ratio of the y-difference to the x-difference. The length of a line segment is the root of the sum of the squares of the differences.

Answer:

So, the answer is 175 but in an expression it is 25x where x would be the height in this situation it is 7.

Step-by-step explanation:

So basicly if there is 25 units and there are 7 layers of that 25 units you would multiply 7 by 25 to get 175.

Hence, in an expression it would be 25x where x would be 7

Final answer:

To find the ratio of green to total skittles, divide the number of green skittles by the total number of skittles and simplify the fraction. The ratio of green to total skittles is 1:5.

Explanation:

To find the ratio of green to total skittles, we need to divide the number of green skittles by the total number of skittles and simplify the fraction.

Ratio = Number of green skittles / Total number of skittles

Ratio = 13 / 65

Since 13 and 65 are both divisible by 13, we can simplify the fraction to:

Ratio = 1 / 5

Therefore, the ratio of green to total skittles is 1:5.

Answer:

y= 12x-16

Step-by-step explanation:

Given that you have a slope of 12 and a point of (3, 20), you are most obligated to using the Slope-Intercept form, or y=mx+b.

What this allows you to find is the y-intercept if your line has one. You take your point, (3,20), and you insert the values at the appropriate places. You should now have 20=12(3)+b. You will then solve for b by multiplying 12 and 3 to get 36 and subtract that from both sides of the equal sign. You should have 20-36=b. 20-36 is -16, which is your y-intercept.

Now you know all your needed values, you would write the Slope-Intercept form without the values for y and x, to represent your equation.

Since 12 is your slope, it will be 'm' and -16 will be 'b'.

You will end with y = 12x - 16.

Given:

Line passing through,

Slope,

The equation will be:

→ [tex]y - y_1 = m(x-x_1)[/tex]

By substituting the values,

→ [tex]y-20=12(x-3)[/tex]

→ [tex]y-20=12x-36[/tex]

          [tex]y = 12x-16[/tex]

Thus the above answer is right.

Learn more about intercept here:

https://brainly.com/question/21614609

Answer:

yes it is

Step-by-step explanation:

f(x) or g(x) are functions

Answer:

It is False

Step-by-step explanation:

I tried true and got it wrong

Answer:

A

Step-by-step explanation:

Right angle means that the two sides that meet to create right angle are "perpendicular".

Two perpendicular lines meet to form the angle of 90 degrees.

In coordinate geometry, how do we prove that two lines are perpendicular??

We show that their slopes are negative reciprocals of each other.

This also tells us that the angle between the two lines are "right angle".

So, we can use slope formula to show two segments have opposite reciprocal slopes, that will tell us that it is a right angle between the two segments.

Option A is right.

Answer:

20

Step-by-step explanation:

$2.50 x 12 equals 30

2.50 x 20 equals 50

x10= 2.50 x 20 =$50

Answer:

  see below

Step-by-step explanation:

Use the distributive property:

  (y^2 +3y +7)(8y^2 +y +1)

  = y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)

  = 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7

  = 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7

  = 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice

Answer:

x=12, y=[tex]12 \sqrt{3} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

sinθ= opp/hyp

cosθ= adj/hyp

Answer:

154

Step-by-step explanation:

This ones tough so im not sure but try it. I hope this helps

Answer: 3

Step-by-step explanation: Your equation is p- (-9)=12. A negative plus a negative is a positive. So the equation is basically p+9=12. 12 minus 9 is 3 and that's the answer!

Answer:

20%

Step-by-step explanation:

If 10 goes to 12, that means there was an increase of 2. 2/10 is, in decimal form, 0.2. To change a decimal into a percentage, you multiply it by 100, giving you 20.

Answer:

x=15

Step-by-step explanation:

x/5 =3

Multiply each side by 5

x/5 *5 = 3*5

x = 15

Answer:

Step-by-step explanation:

Independent Variable (IV):  Special college preparation program

How will you describe the IV: Independent variable or known as manipulated variable is a variable where the researcher purposely manipulate the variable to see how it affect the results of the experiment.

Dependent variables (DV): Math placement scores of college applicants

How will you measure the DV: DV can be measured by recording the math placement scores of each applicants who have or have not taken the special college preparation program.

Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV). Explanation: In this case, the researcher wants to see how taking special college preparation program (IV) can affect the math placement scores of the applicants (DV).

Hypothesis:

If the applicants take the special college preparation program, the applicants will have higher math placement scores compared to the one who have do not take the program.

Final answer:

The independent variable in the study is whether college applicants have taken a special college preparation program or not, with the dependent variable being the math placement scores. A potential hypothesis could be that applicants who took the program will achieve higher math scores.

Explanation:

Independent Variable (IV): The independent variable in this study is whether college applicants have taken a special college preparation program or not.

Dependent Variable (DV): The dependent variable is the math placement scores of the college applicants.

Hypothesis: A possible hypothesis could be 'College applicants who have taken a special college preparation program will have higher math placement scores compared to those who have not taken the program.'

Equation is y = -1/4x + 5

Step-by-step explanation:

⇒ y = -1/4x + 5

Answer:

The amount of thistle bird seed she purchased was 7.5 pounds

Step-by-step explanation:

Let

x ----> the amount in pounds of thistle bird seed she purchased

x ----> the amount in pounds of wild bird seed she purchased

we know that

Kate bought $23.40 worth of two types of bird seed.

so

[tex]1.60x+0.95y=23.40[/tex] ----> equation A

She bought 12 pounds of wild bird seed

so

[tex]y=12\ pounds[/tex]

substitute the value of y in the equation A

[tex]1.60x+0.95(12)=23.40[/tex]

solve for x

[tex]1.60x=23.40-11.40\\1.60x=12\\x=7.5\ pounds[/tex]

therefore

The amount of thistle bird seed she purchased was 7.5 pounds

Kate bought 7.5 pounds of thistle bird seed.

Since Kate bought $ 23.40 worth of two types of bird seed, thistle bird seed sells for $ 1.60 per pound and wild bird seed sells for $ 0.95 per pound, if she bought 12 pounds of wild bird seed, to find the amount of thistle bird seed she purchased, the following calculation must be performed, through a linear function:

Therefore, Kate bought 7.5 pounds of thistle bird seed.

Learn more in https://brainly.com/question/3400735

Answer:

y = 4/3x - 12

Step-by-step explanation:

Use Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the slope

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m = [tex]\frac{-4 - (-8)}{6 - 3}[/tex]

m = [tex]\frac{-4 + 8}{3}[/tex]

m = [tex]\frac{4}{3}[/tex]

Step 2:  Plug into point slope form

(y - (-4)) = 4/3(x - 6)

y + 4 = 4/3x - 24/3

y + 4 - 4 = 4/3x - 8 - 4

y = 4/3x - 12

Answer:  y = 4/3x - 12

Answer:

Option B.

Step-by-step explanation:

A system of equations is written to represent this scenario, where s represents the number of sweatshirts ordered and t represents the number of t-shirts ordered.

s + t = 934

8s + 5t = 5,933

The solution to the system is (421, 513).

So, The number of sweatshirts = 421

And the number of t-shirts = 513

Because 8 * 421 + 5 * 513 = $5,933

We will check the options:

A. The store ordered 513 sweatshirts and 421 t-shirts.  ⇒Wrong

B. The store ordered 421 sweatshirts and 513 t-shirts.  ⇒True

C. The store spent $513.00 on sweatshirts and $421.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

D. The store spent $421.00 on sweatshirts and $513.00 on t-shirts. ⇒Wrong

Because the solution represents the number of sweatshirts and  t-shirts.

So, the answer is option B.