The given equations are
12x + 4y = 152 ...........1
32x + 12y = 420 .....2
Multiplying equation 1 by 3 to make coefficient of y same we have:
36x+12y= 456
32x+12y=420
Subtracting the two equations we have:
4x=36.
Dividing by 4 both sides
x= 9.
Substituting x value in equation 1
12(9) + 4y = 152
108+4y=152
Subtracting 108 both sides: 4y=44.
Dividing both sides by 4.
y=11.
cost of the vegetarian lunch is $11.
In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.
3.24m
the longest piece will be associated with 8 parts of the ratio.
divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio
= 18 cm ← 1 part
6 parts = 6 × 18 = 108 cm
4 parts = 4 × 18 = 72 cm
length = 144 + 108 + 72 = 324 cm = 3.24m
Answer:
4/45
Step-by-step explanation:
when dividing fractions, you multiply the first fraction by the second fraction's reciprocal :
1/9 divided by 5/4
1/9 multiplied by 4/5
essentially, you switch the signs from division to multiplication, and reverse the second fraction.
1/9 multiplied by 4/5
1/9*4/5 = 4/45
Answer:
The area is 63.75 feet square
Step-by-step explanation:
Formula for area of a triangle is 1/2 × base × height
And we are given each of this variables in the question above
Therefore you just have to input those values to the formula
1/2×17/2×15
255/4
=63.75
Therefore the area of the triangle is 63.75 feet square
Answer:
20%
Step-by-step explanation: