John runs 500 feet in 1 minute. Identify the correct conversion factor setup required to compute John's speed in inches per seco

Question 1: (2.2, -1.4). Question 2: (1.33, 1). Providing a detailed analysis, the equations for the given lines are specified as (1) passing through points (0, 2.5) and (2.2, 1.4), and (2) through (0, -3) and (2.2, -1.4). We are tasked with locating a common solution or intersection of these equations. This leads to finding x = 2.2, and consequently y = -1.4. Therefore, the solution set is (2.2, -1.4). For question 2, the equations yield a solution of (1.33, 1).

Answer:

Ben could have sold a maximum of 6 turkey sandwiches.

Step-by-step explanation:

Turkey sandwiches are priced at $2.50, while veggie wraps cost $3.50 at the snack stand.

Our goal is to determine the largest number of turkey sandwiches Ben might have sold.

4 veggie wraps were sold (y).

Thus, the inequality is: 2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 - 14

2.50x < 16

Ultimately, Ben could sell a maximum of 6 turkey sandwiches.

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.

<span>The volume of a rectangular prism is 
 V = l · w · h
V = 252 cm3
h = 3 cm
l = 5 + W
Let W = x, therefore l = 5 + x
V = (5 + x) * x * 3 = 252
3x</span><span>^2 + 15x = 252 cm3

</span><span>This equation models the volume of the tray based on its width, x, in centimeters.
</span>3x^2 + 15x = 252 cm3<span>
</span>

for a width of 7.5 cm

3x^2 + 15x = 3*(7.5)^2 + 15*7.5 = 281.25 cm3

<span>281.25 > 252 </span><span> </span>

<span>Thus, a width of 7.5 cm is not possible.</span>

12x2= $24
24 + 28 + 45 = $97

Thus, $97 represents the total amount (100%)

Calculating 100% - 30% gives 70% (with 30% discount)
(noting that 70% equals 70/100 or 0.7)

Therefore, 97 x 0.7 = $67.90