To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).
We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15
Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.
So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:
4 1/2 (times 6 to both top and bottom) =
4 6/12
2 1/4 (times 3) = 2 3/12
6 1/3 (times 4) = 6 4/12
Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.
Thus, Peter makes a total of 13 1/2 cups.
Hope this made sense! tell me if anything is confusing/incorrect :))
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
= 
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
x for 2 pointquestion y for 4 point question
x+y=40
2x+4y=100
x=40-y
80-2y+4y=100
2y=100-80
2y=20
y=10
x=40-10=30
3:5=m:60
m= 36
1. B)36
22in30 min
22+22=44
44in 1hr
44x3=132 in 3hr
2. D)132
The point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5) is y + 1 = 6x + 18
<u>Solution:</u>
Given, two points are (-3, -1) and (-2, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
<em><u>The slope of line "m" is given as:</u></em>
Now, let us find the line equation using point slope form
where m is slope
Hence the point slope form is y + 1 = 6x + 18
