Peter wants to purchase pizza pies and breadsticks for a party. the cashier tells him that pizza pies are $8 each and breadsticks are $5 each. peter cannot spend more than $120. which of the following options models the number of pizza pies and breadsticks that peter can purchase? let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased.

5x + 8y ≤ 120

Step-by-step explanation:

Peter wants to purchase pizza pies and breadsticks for a party.

Let y represent the number of pizza pies purchased and let x represent the number of breadsticks purchased.

Now, each pizza costs $8 and each breadstick costs $5 and Peter can not spend more than $120 for his party.

Therefore, the inequality that models the situation will be  

5x + 8y ≤ 120 (Answer)

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).