Write the equation of a line given two points kuta

Final answer:

Sally paid a $12.50 entry fee to the fair. Joe can buy 18 tickets after paying the entry fee with his $26. The equation to represent the total cost of entry fee and tickets based on the number of tickets purchased is y = 12.50 + 0.75x.

Explanation:

(a) We are told Sally spent a total of $31.25 on the entry fee plus 25 ride tickets. Since each ticket costs $0.75, we can multiply 25 tickets by $0.75 to find the total cost of the tickets alone. That is 25 tickets × $0.75 per ticket = $18.75. Subtracting this amount from the total cost of $31.25 gives us the entry fee. The entry fee is $31.25 - $18.75 = $12.50.

(b) Joe has $26 to spend on the entry fee and tickets. We found out earlier that the entry fee is $12.50. Subtracting the entry fee from the total amount Joe has, we get $26 - $12.50 = $13.50. Now, divide this by the cost of one ticket, $0.75, to determine the number of tickets he can buy: $13.50 / $0.75 = 18 tickets.

(c) Let x represent the number of ride tickets purchased and y represent the total cost of fair entry fee and ride tickets. The total cost is the sum of the fixed entry fee and the variable cost of x tickets at $0.75 each. The equation is y = 12.50 + 0.75x.

20/4 = 5

40/8 = 5

60/12 = 5

80/16 = 5

Answer is 5

Answer:

Option D 5

Step-by-step explanation:

Mike and Julie surveyed students to determine how many had a grade of A in math as given in the table.

We have to find the proportionality constant of the ratio of students surveyed to the number of A grades.

Since proportionality constant = [tex]\frac{\text{Students Surveyed}}{\text{number of A grades}}[/tex]

=[tex]\frac{20}{4}=5[/tex]

Similarly we can get the constant form other data which is equal to 5.

Therefore, Option D. 5 is the correct option.

Answer: The maximum value of the product x*y is 112.5

Step-by-step explanation:

We have that x + 2y = 30

so we can isolate one of the variables and get:

x = 30 - 2y

now, the product of x*y can be written as:

x*y = (30 - 2y)*y = 30y - 2y^2

now, we want to find the maximum of 30y - 2y^2

because the leading coeficient is negative (-2), we know that the hands of the quadratic function will go downwards, so the zero of the derivate of this quadratic equation will give us the value where the equation has a maximum:

f(y) = -2*y^2 + 30*y

f'(y) = -4*y + 30 = 0

y =  -30/4 = 7.5

So the maximum value is:

f(7.5) = -2*7.5^2 + 30*7.5 = 112.5

To find the percent of increase in the number of drive-in theaters from 1933 to 1945, subtract the initial number from the final number, divide by the initial number, and multiply by 100, resulting in a 2100% increase.

The question asks how to calculate the percent of increase in the number of drive-in theaters in the U.S. from 1933 to 1945. To find the percent of increase you subtract the original number from the new number divide by the original number, and then multiply by 100 to convert to a percentage.

Therefore, the percent of increase from 1933 to 1945 was 2100%.

To determine the exponential function, use the general form of an exponential function and substitute the given values. The equation is y = 1.4 * (1/2)^(x/4).

An exponential function represents exponential growth or decay. In this case, the given information states that the initial mass is 1.4g, and it is halving every 4 days. We can use the general form of an exponential function, y = ab^x, where a is the initial value, b is the growth/decay factor, and x is the time in days.

Since the mass is halving every 4 days, the decay factor is 1/2, since the mass is halving. The equation becomes y = 1.4 * (1/2)^(x/4).

This equation represents the exponential function that satisfies the given conditions.

A non-transversal line in geometry is a line that does not intersect two or more lines at distinct points. Similarly, in geology, folds with a horizontal axial line, called non-plunging folds, can be analogous to non-transversal lines as they don't intersect with another structure at a distinct point.

In mathematics, specifcally in geometry, transversal is a line that passes through two lines in the same plane at two distinct points. If a line does not intersect two or more lines at distinct points, it can be considered as a non-transversal line.

According to the information provided, in the context of folds in geology, the axial line becomes a key concept. The axial line refers to an imaginary line drawn along the crest of a fold. If the axial line is horizontal, the fold is referred to as a non-plunging fold and it could be analogous to a non-transversal line in geometry, as it doesn't intersect with another structure at a distinct point.

However, if the axial line is tilted (plunging), it might be considered as a transversal in the sense that it 'intersects' the horizontal plane at a distinct angle. Similarly, if a line in geometry is tilted and intersects two or more lines at distinct points, it is a transversal line.

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For some reason I keep getting the result 50.

Answer:

C. Reflexive Property of Equality

Step-by-step explanation:

[tex]x-4=x-4[/tex]

A. Substitution Property of Equality

Some value is substituted for any variables. In the given equation, the value for x is not substituted.

B. Transitive Property of Equality

If [tex]c=b+1 \ and \ b+1=4[/tex] then c=4. Given equation does not represent transitive property.

C. Reflexive Property of Equality

When both sides are equal , then it is reflexive property

[tex]x-4=x-4[/tex] represents reflexive property of equality

D. Symmetric Property of Equality

If [tex]1+2=a[/tex] then [tex]a=1+2[/tex]

Given equation does not represents symmetric property

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

We are defined the nth term in the sequence with the help of the relation or expression as:

[tex]a_n=25-3n-------(1)[/tex]

We are asked to find the 8th term of the sequence i.e. we are asked to find the value of [tex]a_n[/tex] when n=8.

so, we will put n=8 in the given expression (1).

[tex]a_8=25-3\times 8\\\\a_8=25-24\\\\a_8=1[/tex]

Hence, the 8th term of the sequence is:

[tex]a_8=1[/tex]

Answer:

26 cookies

Step-by-step explanation:

13 times 2

Answer:

Here are the options to the questions:  

a.) g(x)=|2(x−5)|

b.) g(x)=|2(x+5)|

c.) g(x)=|2x+5|

d.) g(x)=|2x−5|

The answer is b.) g(x)=|2(x+5)|

Step-by-step explanation:

The function F(x) = |2x| has the vertex at point (0,0)

The rule of translation is (x,y) -------- (x - 5, y)

The translation of the point (0,0)is equal to

(x,y) -------- (0 - 5,0)

(x,y) -------- (-5,0)

The function g(x) has the vertex at point (-5,0)

So therefore, the function g(x) is equal to g(x)=|2(x+5)|

Hello,

The correct answer is B) (-$8) × 12

Hope this helps!!!! :)

(Took the Math test)

**(Vanessa)**

Value of 12/25 x 5/18 in the simplest form is 2/15.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given a equation 12/25 x 5/18 we need to simplify this

Using PEMDAS

12/25 * 5/ 18

=> (12 * 5)/ 25 *18

=> 2 / (5 * 3)

=> 2/15

Therefore, Value of 12/25 x 5/18 in the simplest form is 2/15.

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The value of x from the equilateral triangle is x = 12 and the side is 38

What is an Equilateral Triangle?

An equilateral triangle is a triangle in which all three sides have the same length.

Let the triangle be ΔABC , and

∠A = ∠B = ∠C = 60° and AB = BC = CA

Given data ,

Let the triangle be represented as ABC

Now , the triangle ABC is an equilateral triangle with

∠A = ∠B = ∠C = 60°

The measure of side AB = 4x - 10

The measure of side BC = 3x + 2

The measure of side AC = 5x - 22

And , the sides of the triangle will also be the same

So ,

Side AB = Side BC = Side CA

Substitute the values in the equation , we get

4x - 10 = 3x + 2   be equation (1)

On simplifying the equation , we get

Adding 10 on both sides of the equation , we get

4x = 3x + 12

Subtracting 3x on both sides of the equation , we get

x = 12

And ,

5x - 22 = 3x + 2

Adding 22 on both sides of the equation , we get

5x = 3x + 24

Subtracting 3x on both sides of the equation , we get

2x = 24

Divide by 2 on both sides of the equation , we get

x = 12

Hence , the value of x is 12

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The correct answer is C. 10×7×2

Answer:

Option C is correct

[tex]10 \times 7 \times 2[/tex]

Step-by-step explanation:

Commutative property of multiplication states that you can multiply number in any order.

For example:

[tex]2 \times 3  = 3 \times 2[/tex]

[tex]3 \times 4 \times 5 = 4 \times 5 \times 2[/tex]

Given that:

2 × 10 × 7

By definition Commutative property of multiplication,

⇒[tex]10 \times 7 \times 2[/tex]

Therefore, [tex]10 \times 7 \times 2[/tex] demonstrates the commutative property across multiplication for 2 × 10 × 7