Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tickets are sold. How many total tickets were sold if 92 adult tickets were sold?

Answer: The slope of the line is [tex]-\frac{1}{3}[/tex].

Explanation:

From the given graph it is noticed that the line passing through many points.

The coordinates of three given points are (-6,6), (0,4) and (6,2).

If a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of the lie is defined by,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line passing through two points (0,4) and (6,2). So the slope of the line is,

[tex]m=\frac{2-4}{6-0}[/tex]

[tex]m=\frac{-2}{6}[/tex]

[tex]m=-\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex].

area of 5 x 7 porch = 5*7 = 35 sq. ft.

 area of 20 x 28 porch = 20 *28 = 560 sq. ft.

560 / 35 = 16

 so 16 bags are needed

Answer:

A.

Step-by-step explanation:

We have that C>0, D>o and C > D. Now,

A. [tex](C+D)^2= C^2+2CD+D^2[/tex]

B. 2(C+D) = 2C+2D

C. [tex]C^2+D^2[/tex]

D. [tex]C^2-D^2[/tex]

We have that [tex]C^2+2CD+D^2> C^2+D^2[/tex] (beacuse on left we have adding one extra positive term) and also [tex]C^2+D^2> C^2-D^2[/tex] (adding two positive values is greater than subtract two positive values), then

[tex]C^2+2CD+D^2> C^2-D^2[/tex]

also, [tex]C^2+2CD+D^2> 2C+2D[/tex] (also because the middle term). Then, the largest term is  [tex](C+D)^2= C^2+2CD+D^2[/tex].

Answer: 1 3/5.

Step-by-step explanation: It's 2 1/2 not 212.

To determine the cost of 4 erasers, set up a proportion using the given information.

To determine the cost of 4 erasers, we can set up a proportion using the given information. We know that 3 erasers cost $4.41, so we can write the equation:

3 erasers / $4.41 = 4 erasers / x

To solve for x, we can cross-multiply:

3 * x = 4 * $4.41

x = (4 * $4.41) / 3

Calculating this, we find that the cost of 4 erasers is $5.88. So, the equation that will help determine the cost of 4 erasers is 3 erasers / $4.41 = 4 erasers / $5.88.

The correct equation that represents this relationship and would help determine the cost of 4 erasers is:[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex]

The correct option is (A).

The image shows multiple choice options for equations that could be used to determine the cost of 4 erasers given that 3 erasers cost $4.41.

To find the cost of 4 erasers, we would want to set up a proportion where the number of erasers is directly proportional to the total cost. Given that 3 erasers cost $4.41, we can write this relationship as:

[tex]\[ \frac{\text{Number of erasers}}{\text{Cost}} = \frac{3}{4.41} \][/tex]

We want to find the cost for 4 erasers, so we can set up an equation with [tex]\( x \)[/tex] representing the unknown cost for 4 erasers:

[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex]

This equation can be solved to find \( x \), the cost for 4 erasers. We can cross multiply to solve for \( x \):

[tex]\[ 3 \times x = 4 \times 4.41 \][/tex]

[tex]\[ x = \frac{4 \times 4.41}{3} \][/tex]

Let's solve for[tex]\( x \)[/tex] to find the cost of 4 erasers.

The cost for 4 erasers, given that 3 erasers cost $4.41, would be $5.88.

The correct equation that represents this relationship and would help determine the cost of 4 erasers is:

[tex]\[ \frac{4}{x} = \frac{3}{4.41} \][/tex].

complete question given below:

Answer:

C

Step-by-step explanation:

The inverse of a statement "If p then q" is the statement "if ¬p then ¬q". In our case p is "x=2" and q is "x+3=5". Moreover, the negations of p and q are "[tex]x \neq 2[/tex]" and [tex]x+3 \neq 5[/tex] respectively. Then, the inverse of the original statement is

[tex]\text{if} \quad x\neq 2 \quad \text{then} \quad x+3 \neq 5[/tex]

Answer:

5 toppings.

Step-by-step explanation:

Let there were x toppings on the exponential pizza ordered by Connor.

Then charges for toppings = $2.35x

If the cheese pizza costs = $17.50

Total charges for the pizza = (17.5 + 2.35x)

Total cost of the cheese pizza with toppings = $29.25

Equation to find the number of toppings will be

29.25 = 17.5 + 2.35x

2.35x = 29.25 - 17.5

2.35x = 11.75

x = [tex]\frac{11.75}{2.35}[/tex]

x = 5

Therefore, number of toppings on the pizza will be 5.

Answer:

The value of the expression is [tex]-17x[/tex].  

Step-by-step explanation:

Consider the provided expression.

[tex]4x - 2x -20x + x[/tex]

To solve the above expression we need to add the like terms as shown.

[tex]4x+x - 2x -20x[/tex]

[tex]5x - 22x[/tex]

[tex]-17x[/tex]

Hence, the value of the expression is [tex]-17x[/tex].  

To make 120 caramel peanut butter bars, using a recipe that calls for 14 ounces of caramel for 36 bars, one would need 47 ounces of caramel (rounded to the nearest ounce).

Given that a cookie recipe for three dozen caramel peanut butter bars uses 14 ounces of caramel, we need to determine the amount of caramel needed to make 120 bars. Since three dozen bars are equal to 36 bars, we can find how many times the amount of bars in the recipe fits into the desired 120 bars count by dividing 120 by 36.

This gives us 120 / 36 = 3.33. Multiplying this factor by the amount of caramel used for 36 bars gives us the amount needed for 120 bars: 3.33 * 14 ounces = 46.62 ounces. Therefore, 47 ounces of caramel (rounding to the nearest ounce) should be used to make 120 bars for a cookie exchange.

yellow car = x

 white cars = 9x ( 9 times as many white cars)

9x +x = 40

10x = 40

x = 40/10 =4

4 yellow cars

9*4 = 36 white cars

Answer:

.

Which of the following is not a way to represent the solution of the inequality 2(x + 1)  alt= 20?

Step-by-step explanation:

Calculating the probability of getting more than 75% of answers right with random guessing is unlikely to yield a count higher than 24 correct answers. Therefore it is improbable for Lauren to have answered more questions correctly than Antoine. However, without specific data on Lauren's and Antoine's test results, we cannot say with absolute certainty.

To ascertain if Lauren could have answered more questions correctly on her second math test than Antoine, we need to understand the concept of probability. In this case, we want to find P(x > 24)  which means we want to find out if getting more than 75 percent (or more than 24 correct answers) out of 32 questions is possible. That is, did Lauren score more than 24? However, the probability of getting more than 75 percent of the 32 questions correct when randomly guessing is practically zero. Mathematically, we express this as P(x > 24) = 0.

This suggests obtaining a score higher than 24 is very difficult, and therefore it's unlikely that Lauren answered more questions correctly than Antoine, especially if answering was based on random guessing. However, without specifics about Lauren's or Antoine's performance, we can't say definitively.

https://brainly.com/question/32117953

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