You buy a book of five basketball tickets for $62.50 what is the rate of cost per ticket ?

Answer:

1/6

Step-by-step explanation:

Answer: [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given statement : Marcus tosses a coin and spins a spinner numbered from 1 to 3.

Let A be the event of getting a head while tossing a coin.

Total faces on coin=2

Then [tex]P(A)=\dfrac{1}{2}[/tex]

Let B be the event of spinner lands on 1.

Total sections on spinner = 3

Then [tex]P(B)=\dfrac{1}{3}[/tex]

Since both events are independent of each other.

Therefore, the probability the coin lands heads up and the spinner lands on 1 = [tex]P(A)\timesP(B)=\dfrac{1}{2}\times\dfrac{1}{3}=\dfrac{1}{6}[/tex]

Hence, the probability the coin lands heads up and the spinner lands on 1 = [tex]\dfrac{1}{6}[/tex]

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

The value of g(4)+f(-3) is 14.

The value obtained for the given equation g(4) + f(−3) will be equal to 14.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

f(x) = x²

So, f(-3) = (-3)²

f(-3) = 9

g(x) =  2x - 3

g(4) = 2(4) - 3

= 8 - 3

g(4) = 5

So,

g(4) + f(−3)

5 + 9 = 14

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You can find two equivalent fractions by multiplying or dividing the numerator and denominator by the same number.

For example, if you had 2/3 and you wanted to find an equivalent fraction, you could multiply both the numerator (top number) and denominator (bottom number) by 2.

2/3 * 2/2 = 4/6, so an equivalent fraction of 2/3 is 4/6.

Now to find two equivalent fractions for 2/12: since both the numerator and denominator can be divided evenly by 2, you can divide 2/12 by 2/2.

2/12 / 2/2 = 1/6

1/6 is an equivalent fraction to 2/12.

You can also multiply 2/12 by 2/2 for another equivalent fraction.

2/12 * 2/2 = 4/24, so two equivalent fractions for 2/12 are 1/6 and 4/24.

Two equivalent fractions for 2/12 are 4/24 and 6/36.

To find equivalent fractions for 2/12, we need to multiply both the numerator and denominator by the same non-zero number. This will give us fractions that have different numerators and denominators but represent the same value.

Let's start by finding an equivalent fraction by multiplying both the numerator and denominator by 2:

2/12 x 2/2 = 4/24

The fraction 4/24 is equivalent to 2/12 because both fractions simplify to 1/6 when reduced to their simplest form.

Next, let's find another equivalent fraction by multiplying both the numerator and denominator by 3:

2/12 x 3/3 = 6/36

The fraction 6/36 is also equivalent to 2/12 because both fractions simplify to 1/6 when reduced.

Therefore, two equivalent fractions for 2/12 are 4/24 and 6/36, both of which represent the same value as 2/12, which is 1/6 when simplified.

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i think its 2(4p) or 8p

2/5 (rise/run) is the distance. You move up by 2 and 5 to the right

You can use the distance formula it is: the square root of (x2-x1)^2 + (y2-y1)^2

(1+4)^2 + (8-6)^2

(5)^2 + (2)^2

25+4

29

Take the square root of 29 which is about 5.4

The distance is about 5.4

Answer:

3 oranges for $1, 6 oranges for $2,and 9 oranges for $3

Step-by-step explanation:

Because the ratio amount of oranges to the amount of money is 3:1 for all three

The required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of oranges be x and the cost for x oranges be y,

1. 3 oranges for a dollar  2. 6 oranges for 2 dollars  3. 3 dollars for 1 orange and 4.  9 oranges for 3 dollars

For the equivalent relation, of the given expression,
x₁ / y₁ = x₂ / y₂ = x₃ / y₃ = x₄ / y₄
3 / 1 = 6 / 2 = 1 / 3 = 9 / 3
3 / 1 = 3/1 ≠ 1 / 3 ≠ 3 / 1

Thus, the required equivalent expressions are 3 oranges for a dollar,  6 oranges for 2 dollars,  and 9 oranges for 3 dollars.

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Py +7 = 6y + qp

Solve the equation for y

To solve the equation for y we need to get y alone

Py +7 = 6y + qp

Subtract 6y from both sides

Py - 6y +7 = + qp

Subtract 7 from both sides

Py - 6y = + qp - 7

Now factor out y

(P - 6)y = qp - 7

Divide by P - 6 from both sides

[tex]y =\frac{qp - 7}{(P - 6)}[/tex]

Answer:

y=  p−6 /q−7

​

Step-by-step explanation:

The strategy

Move all y-terms on one side of the equation, and move all constant terms to the other side of the equation.

Using the distributive property, group like terms together on both sides of the equation.

To isolate y, divide both sides by the coefficient of y.

Solving for y

py+7 = 6y+q

py+7 -6y = q

 py-6y= q - 7

y(p-6) = q-7

​

Solve for u by cross multiplying.

Answer: u = [tex]-\frac{15}{14}[/tex]

In Decimal form the answer is: −1.07142857…

The digit in the ten-thousands place is 3, and because the digit to the right of that digit is higher than 5, the number will be rounded up to 4.

Answer:

23 in

Step-by-step explanation:

Volume of a Cube: V = a³

Step 1: Define

V = 12,167 in³

a = ?

Step 2: Solve for side length a

Step 3: Check

Plug in a to verify it's a solution.

Ann's and Maria's estimations of 10 feet and 15 feet are much wider and there would be no door with these widths.

Ted's estimation of 1 foot is also not possible as some stout students can't enter into the class.  :D

Hence, Hank's estimation of 3 feet is the best estimate.

Hank made the best estimate of the width of the door at 3 feet, as standard interior doors are usually close to this width.

The question is about estimating the width of a door. Students provided different estimates for the door's width: Ted estimated it to be 1 foot, Hank estimated 3 feet, Ann estimated 10 feet, and Maria estimated 15 feet. To determine who made the best estimate, we can use the contextual knowledge of standard door sizes. Typically, the width of an interior classroom door is closer to 3 feet, which makes Hank's estimate the most reasonable. The estimates provided by Ann and Maria are excessively large for typical doors, and Ted's estimate of 1 foot is too small.

slope formula: y2-y1/x2-x1

Answer:

Yes, you can use the division property of equality in this equation.

Step-by-step explanation:

This is because we have a variable (x) that is being MULTIPLIED (by 4). The opposite of multiplication is division. Since this is an equation that needs properties of equality to solve the variable, division would be a property of equality being used.

THe GCF of 35 and 56 is 7.

35/5 = 7

56/8 = 7

The greatest common factor of 35 ,56 and 63 is 7                      

Step 1. Use the Quotient Rule: x^a/x^b = x^a-b

|-10^5-3|

Step 2. Simplify 5 - 3 to 2

|-10^2|

Step 3. Simplify 10^2 to 100

|-100|

Step 4. Simplify

100

[tex]Solution, \left|-\frac{10^5}{10^3}\right|=100[/tex]

[tex]Steps: \left|-\frac{10^5}{10^3}\right|[/tex]

[tex]\mathrm{Cancel\:}\frac{10^5}{10^3}:\quad 10^2, =\left|-10^2\right|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a, =10^2[/tex]

[tex]\mathrm{Refine}, =100[/tex]

The correct answer is 100

Hope This Helps!!!

<3 - austint1414

answer : 25.9%

Hilary Hu borrowed $4,500.00 to pay for a viola. She agreed to pay back $5,200.00 in 219 days.

Interest to be paid = 5200 - 4500 = $700

To find the rate we use simple  interest formula

[tex]I =P*\frac{r}{100}*\frac{n}{360}[/tex]

I is the interest

P is the principal amount = 4500

r is the rate of interest

n is the number of days= 219

[tex]700 =4500*\frac{r}{100}*\frac{219}{365}[/tex]

[tex]700 = \frac{985500r}{36500}[/tex]

Multiply by 36500 on both sides

25550000= 985500 r

Divide by  985500

r = 25.92592

so interest rate is approximately = 25. 9%

the ball reaches its maximum height of 15 feet in 2.2 seconds

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground

The ball starts on the ground at 0 seconds so the ball starts at x=0 seconds

the ball reaches its maximum height of 15 feet in 2.2 seconds

So it takes 2.2 second to reach the maximum height

It will take another 2.2 seconds to reach the ground

The time the ball in the air is 2.2 + 2.2 = 4.4

The ball will reach the ground in 4.4 seconds

So the domain for g(x) is {0,4.4}

Answer:

0 ≤ x ≤ 4.4

Step-by-step explanation:

The mean is calculated by adding all the data values together, and then dividing the sum by the number of data values.

12+10+11+13+14+10+12+13+14=109

109÷9≈12.1

The mean of the data set is about 12.1.

The mean of the data set will be 12.11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The data set is given below.

12, 10, 11, 13, 14 10 12 13 14

Then the mean of the data set will be

Mean = (12 + 10 + 11 + 13 + 14 + 10 + 12 + 13 + 14) / 9

Mean = 109/9

Mean = 12.11

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The mean hourly temperature drop is 5°F per hour, calculated by dividing the total temperature drop of 30°F by the total time of 6 hours.

If the temperature dropped 30°F over a period of 6 hours, the mean hourly temperature drop is calculated by dividing the total temperature drop by the total time.

This calculation provides the average rate of temperature change per hour.

To find the mean hourly temperature drop, you use the following steps:

Therefore, the mean hourly temperature drop is 5°F per hour.

Final answer:

The mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period is 5°F per hour.

Explanation:

The question asks to determine the mean hourly temperature drop when the temperature decreased by 30°F over a 6-hour period. To find the mean hourly drop, you simply divide the total temperature drop by the total number of hours.

To calculate: Mean hourly drop = Total temperature drop ÷ Number of hours

So in this case, it would be: Mean hourly drop = 30°F ÷ 6 hours = 5°F per hour

Therefore, the mean hourly temperature drop was 5°F.

Answer:

the slope of the is -1/3

Step-by-step explanation:

Answer: [tex]\dfrac{-1}{3}[/tex]

Step-by-step explanation:

The slope of a line passes through two points (a,b) and (c,d) is given by :-

[tex]m=\dfrac{d-b}{c-a}[/tex]

From the give graph, the line is passing through (0,4) and (6,2).

Then the slope of line will be :-

[tex]m=\dfrac{2-4}{6-0}=\dfrac{-2}{6}=\dfrac{-1}{3}[/tex]

Hence, the slope of the line on the graph [tex]=\dfrac{-1}{3}[/tex]

Hey there!

If he has 24 cattle that eat 12 pounds of grain every day, then the amount of grain that they eat every day can be represented by the following equation:

p = 24 x 12       Multiply the two together, and the amount eaten each day is 288 pounds.

We can divide 10656 by 288 to figure out how many times 288 will go into 10656, which tells us how many days the supply will last.

10656 ÷ 288 = 37

So this means the food supply will last 37 days.

Hope this helps!

7.50 + 10 = 17.50, 17.50 X 2 = 35 Original price is $35 dollars

Answer:

Step-by-step explanation:

6,212 яσυи∂є∂ тσ тнє иєαяєѕт нυи∂яє∂ ιѕ

6,200

Your answer will be 6,200.

Let the number of eggs Ryo actually needs be represented by the letter "x".

Then the number of eggs Ryo ordered was [tex]240\%[/tex] of that amount. This can be represented as:

[tex]240\%\times x=\frac{240}{100}x= \frac{12}{5}x[/tex]

Now, to find what fraction of the number of eggs Ryo actually needs in his restaurant, all that we need to do is divide the actual number of eggs, which is "x", by the amount of eggs Ryo actually accidentally ordered which is [tex]\frac{12}{5}x[/tex].

Thus, we get:

Fraction=[tex]\frac{x}{\frac{12}{5}x}= \frac{5}{12}[/tex]

Thus, [tex]\frac{5}{12}[/tex] is the required answer.

A function can't have more than one Y value for any identical X value

A has two -9 X values which have different Y values so cannot be a function

B has two -8 X values with different Y values, so cannot be a function.

C has two 3 X values with different Y values, so cannot be a function.

The answer is D.

Answer:

Slope Intercept Form is y = mx +b

1. y = x + 8

2. y = 1/2x + -5

3. y = x + 7

1.

(a) 9

(b) 14

(c) 0

(d) 135

(e) 1408

2.

(a) 18

(b) 5.72

(c) 0.4

(d) 712

(e) 102.5

3. 8 meters

4. $21 or more

5. 15 degrees

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