At a particular restaurant, each mozzarella stick has 80 calories and each pizza roll has 65 calories. a combination meal with mozzarella sticks and pizza rolls has a total of 17 mozzarella sticks and pizza rolls altogether and contains 1165 calories. determine the number of mozzarella sticks in the combination meal and the number of pizza rolls in the combination meal.

the number of mozzarella sticks in the combination meal is 4

the number of pizza rolls in the combination meal is 13

Step-by-step explanation:

Let x represent the number of mozzarella sticks in the combination meal.

Let y represent the number of pizza rolls in the combination meal.

A combination meal with mozzarella sticks and pizza rolls has a total of 17 mozzarella sticks and pizza rolls. This means that

x + y = 17

At a particular restaurant, each mozzarella stick has 80 calories and each pizza roll has 65 calories. A total of 17 mozzarella sticks and pizza rolls altogether and contains 1165 calories. This means that

80x + 65y = 1165 - - - - - - - - - -1

Substituting x = 17 - y into equation 1, it becomes

80(17 - y) + 65y = 1165

1360 - 80y + 65y = 1165

- 80y + 65y = 1165 - 1360

- 15y = - 195

y = - 195/- 15 = 13

Substituting y = 13 into equation x = 17 - y , it becomes

x = 17 - 13 = 4

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.