Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

Answer:

b because you sub the 2 numbers i think

\(4x^2-19x+21\\\\=4x^2-7x-12x+21\\\\=x(4x-7)-3(4x-7)\\\\=(x-3)(4x-7)\)

Answer:

(4x-7) (x-3)

Step-by-step explanation:

\(4x {2} - 19x + 21 \\ = 4x {2} - 7x - 12x + 21 \\ = x(4x - 7) - 3(4x - 7) \\ = (4x - 7)(x - 3)\)

Answer:

13

Step-by-step explanation:

y^2=169

y^2=13^2

y=13

\( {y}^{2} = 169\)

\( {y}^{2} - 169 = 0\)

\((y - 13)(y + 13) = 0\)

\(y - 13 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y + 13 = 0\)

\( \: \: \: \: \: \: \: \: \: y = 0 + 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 0 - 13\)

\( \: \: \: \: \: \: \: \: \: y = 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = - 13\)

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Answer:

I think its C

Step-by-step explanation:

Answer:

\(16^x = 1/64\)

\((2^4)x=64-^1=(2^6)=2-^6\)

\(2^4x=2-^6\)

\(4x=-6\)

\(x = - \frac{6}{4} = - \frac{3}{2} \)

Step-by-step explanation:

\(Thanks!!!\)

Answer:

The equation shows the temperature over time will be:

Hence, option (C) is correct.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where m is the rate of change or slope and b is the y-intercept

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

Thus, the rate of change = slope = m = 3

Thus, substituting m = 3 and b = -7 in the equation

\(y = mx+b\)

\(y = 3x + (-7)\)

\(y = 3x - 7\)

Therefore, the equation shows the temperature over time will be:

Hence, option (C) is correct.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

Answer:

3

Step-by-step explanation:

Order of operations.

5*3/5 is basically the same as 5 times 3 divided by 5. If you are multiplying 5 by 3, and then dividing that same number from the answer, which is 5, then you will get the same number you multiplied by, or 3.

It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

A) - 18y + 6

Step-by-step explanation:

Distribute -2 to all terms within the parenthesis.

Note that:

When you multiply/divide:

Two positive terms, the result will be positive.

One negative and one positive term, the result will be negative.

Two negative terms, the result will be negative.

First, multiply -2 with 9y:

-2 * 9y = -18y

Next, multiply -2 with -3:

-2 * -3 = 6

-18y + 6, or A) is your answer.

~

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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The value of x and the unknown angles of the triangle are as follows;

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, let's find the value of x using the exterior angle theorem.

Hence,

37 + 3x + 47 = 5x + 62

3x - 5x + 37 + 47 = 62

-2x = 62 - 37 - 47

-2x = -22

x = -22 / -2

x = 11

Therefore, the angles are as follows:

3x + 47 = 3(11) + 47 = 33 + 47  = 80 degrees

5x + 62 = 5(11) + 62 = 55 + 62 = 117 degrees

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Answer:

A) attached

B) 15/36 = 5/12

C) 21/36 = 7/12

D) 18/36 = 1/2

E) 32/36 = 8/9

Step-by-step explanation:

A probability distribution is a table showing all the possible values a discrete random variable can take, plus the probability that it'll take each value.

Let X be the score of a pair of fair six-sided dice

X can take the values 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12

Create a sample space (attached) to visually see the sums of different combinations and to help construct the probability distribution table (attached)

B) Reading from the table:

   P(X ≥ 8) = P(X=8) + P(X=9) + P(X=10) + P(X=11) + P(X=12)

                 = 5/36 + 4/36 + 3/36 + 2/36 + 1/36

                 = 15/36 = 5/12

C) Reading from the table:

   P(X ≤ 7) = P(X=7) + P(X=6) + P(X=5) + P(X=4) + P(X=3) + P(X=2)

                 = 6/36 + 5/36 + 4/36 + 3/36 + 2/36 + 1/36

                 = 21/36 = 7/12

D) Reading from the table:

   P(X is even) = P(X=2) + P(X=4) + P(X=6) + P(X=8) + P(X=10) + P(X=12)

                       = 1/36 + 3/36 + 5/36 + 5/36 + 3/36 + 1/36

                       = 18/36 = 1/2

E)  Reading from the table:

   P(3≤X≤10) = P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) +  

                       P(X=9) + P(X=10)

                    = 2/36 + 3/36 + 4/36 + 5/36 +6/36 + 5/36 + 4/36 + 3/36

                    = 32/36 = 8/9

The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).

An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.

A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.

According to the given information:

To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.

a) (3,-3):

y = 2x - 3

-3 = 2(3) - 3

-3 = 3

This is not true, so (3,-3) is not on the graph.

b) (0,-3):

y = 2x - 3

-3 = 2(0) - 3

-3 = -3

This is true, so (0,-3) is on the graph.

c) (5,7):

y = 2x - 3

7 = 2(5) - 3

7 = 7

This is true, so (5,7) is on the graph.

d) (-2,-7):

y = 2x - 3

-7 = 2(-2) - 3

-7 = -7

This is true, so (-2,-7) is on the graph.

e) (2,1):

y = 2x - 3

1 = 2(2) - 3

1 = 1

This is true, so (2,1) is on the graph.

f) (4,5):

y = 2x - 3

5 = 2(4) - 3

5 = 5

This is true, so (4,5) is on the graph.

Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).

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Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Answer:

i think its c

Step-by-step explanation:

Answer:

half-class

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

Event = Girl

Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.

# of possible outcomes = 14

There are 6 girls in the class and thus there are 6 favorable outcomes.

# of favorable outcomes = 6

The probability is the number of favorable outcomes divided by the number of possible outcomes.

P(Girl) = # of favorable outcomes

            # of possible outcomes

= \(\frac{6}{14}\)

= \(\frac{3}{7}\)

≈ 0.4286

= 42.86%

Result

\(\frac{3}{7}\) ≈ 0.4286 = 42.86%

Answer:

D

Step-by-step explanation:

x squared add up to 9x^2 and 5-5=0 so it has to be D

Answer:

A

Step-by-step explanation:

please say thank you and rate 5 stars and verify

Answer:

If I was you i'll take my chances with 125 degrees.

Answer: 125

Step-by-step explanation:

i hope this helped :)

Answer:

3655 use a calculator

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply use 2 xy values and plug them into the formula:

m = (-4 - 0)/(5 - 3)

m = -4/2

m = -2

Answer:

-2

Step-by-step explanation:

Since we have two points we can use the slope formula

m = (y2-y1)/(x2-x1)

  = (10-6)/(-2-0)

  =4/-2

  -2

On solving the provided question, we can say that - by the help of unitary method the value of 9 units will be

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

cost for the 12 classes = $72

cost of 1 unit = $6

cost of 9 units = $54

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Step-by-step explanation:

The answer is

\( \sqrt{2} - 1\)

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Answer:

y = -2(50) + 20  

y = -100 + 20 = -80