Let x,y,z be those numbers.
x+y+z = 12
Since x,y,z are consecutive: y=x+1, and z = x+2
Let's replace y and z by their new values:
x+x+1+x+2=12
3x+3=12
You subtract 3 from each side to get variables on a side, and numbers on the other:
3x=9
You divide both sides by 3:
x=3
y=x+1 = 3+1 = 4
z=x+2 = 3+2 = 5
So the numbers are 3; 4 and 5.
You can re-check your answers (very important):
3+4+5 = 12
3;4;5 are consecutive numbers.
The answer has been approved.
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Answer:
about 89.27 inches
Step-by-step explanation:
This is a right triangle question
c^2 = a^2 + b^2
c^2 = 15^2 + 88^2
c^2 = 225 + 7744
c^2 = 7969
Take the square root of both sides
c = 89.2692556259
c ≈ 89.27 inches
The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.
5.5 ft / 18 ft = x ft / 209.5 ft
The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.
Answer:
total = 96 sweets
Step-by-step explanation:
sweets shared in the ratio 4 : 5 : 7 = 4x : 5x : 7x ( x is a multiplier )
Seth got 18 more sweets than Frank , that is
7x = 4x + 18 ( subtract 4x from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
Then
total = 4x + 5x + 7x = 16x = 16 × 6 = 96 sweets