Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in wi

Answer:

Part a) Your budget is $40.

Part b) The price for one gallon of gasoline is $3.55, while a car wash costs $8.

Part c)

Part d) Refer to the explanation below.

Step-by-step explanation:

Please see the complete question in the attached image.

Part a) The budget is expressed by the equation

y = 40

therefore,

Your budget amounts to $40.

Part b) In terms of costs, how much is a gallon of gasoline and what is the car wash price?

Let

y ------> denote the total cost for a gallon of gasoline along with a car wash

x -----> define the volume of gasoline in gallons

We can express the relationship as

y = 3.55x + 8

For calculations, when x = 0, we have:

y = 3.55(0) + 8 = 8

The y-intercept signifies the cost of the car wash, being $8.

Now, to identify the price of one gallon of gasoline:

We know the slope of the linear function is

m = $3.55 per gallon

This confirms that a gallon of gasoline costs $3.55.

Part c) Formulate an inequality representing the potential quantity of gasoline you can purchase:

We have:

Now, solve for x:

Part d) Utilize the graph to determine the solution of the inequality from part c)

We can set up the system:

y = 40

y = 3.55x + 8

The solution lies at the intersection of both graphs. By observing the graph, the intersection appears to be around (9, 40).

This indicates that the maximum volume of gasoline purchasable within your budget is approximately 9 gallons.

Answer:

Step-by-step explanation:

To determine the slope, divide the rise by the run to calculate the slope.

Note that

1 ft = 12 in

Let

y ----> the rise

x ----> the run

m ----> the slope

the values are given as

substituting these values gives

Simplifying further

Solution:

In Mr. Skinner's class, the count of students bringing lunch from home is 12 out of 20.

Fraction of students who brought lunch from home in Mr. Skinner's class=

For Ms. Cho's class, the number who brought lunch from home is 14 out of 21.

Fraction of students who brought lunch from home in Ms. Cho's class=

Siloni is utilizing two spinners with 15 equal sections to randomly select students from the classes and predict whether they brought lunch or will purchase it from the cafeteria.

Number of Equal sections in each Spinner=15

To visualize the students from Mr. Skinner's class who brought lunch using a Spinner with 15 equal sections =

For Ms. Cho's class, using a Spinner with 15 equal sections =

Mr. Skinner's Class +1 = Ms. Cho's Class

This means that the spinner for Ms. Cho's class will include one additional section representing students who brought lunch.

Option A signifies that one additional section on Mr. Skinner's spinner represents students who brought lunch, reflecting Ms. Cho's class.

To solve the previous problem, we can split the triangle into two right triangles, each having a base of 10 cm and a hypotenuse of 18 cm. The measure of the longer side is necessary to determine the height of the isosceles triangle. By applying the Pythagorean theorem, a² + b² = c², we have a² + (10cm)² = (18cm)², leading to a² = 324 cm² - 100 cm², thus a² = 224 cm². This results in a = √224 cm², which is approximately a = 14.97 cm. The area is then given by A = 1/2 * base * height, or A = 1/2 * 20 cm * 14.97 cm, yielding A = 149.70 cm². Using the formula A = r/2 * p, we derive 149.70 cm² = r/2 * (18cm + 18cm + 20cm), simplifying to 149.70 cm² = r/2 * 56 cm. This results in 149.70 cm² ÷ 56 cm = r/2. Consequently, r/2 equals 2.67 cm, and thus r is 5.34 cm. In conclusion, the final answer is that the radius is approximately 5.35 cm.

Answer:

5,2

Step-by-step explanation: Adding -7 and 12 results in 5, while for -6 it gives 2 under the equation (8=2) and I confirmed this on Khan Academy!:)

I hope this is helpful to you!!