the cost of 2 quesadillas and 3 burritos at a local mexican restaurant is $32. The cost of 4 quesadillas and 2 burritos at the same restaurant is $34. what is the cost of one quesadilla and 1 burrito?

1 quesadillas is $4.75 and 1 Burrito is $7.50

Step-by-step explanation:

This question is a form of simultaneous equation

1. Quesadillas represents x and Burrito represents y

2. Form an equation base on the problem, hence as written below.

2x+3y=32

4x+2y=34

3. Use the elimination method by minusing the first equation from the second equation to give y=2x-2

4. Then you substitute the y=2x-2 into one of the equations above to find the x value. Eg y value substituted which is 2x+3(2x-2)=32. Therefore x=4.75

5. To find y substitute x value into either of the equation to find the y value.

Eg: 2(4.75)+3y=32. Therefore, make Y the subject to find Y value. Y= 7.50

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet