Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3
Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10
what are their present ages
find M and N
substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:
4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14
M = 2(14) - 3 = 28 - 3 = 25
Mike is 25 and Nuke is 14.
check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10
The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal
<h3>How to compare and contrast the rates?</h3>
The rates are given as:
Rate 1 = 4/5 mile in 8 minutes
Rate 2 = 2/5 mile in 4 minutes
Calculate the above rates
This is done as follows:
Rate 1 = 1/10 mile per minute
Rate 2 =1/10 mile per minute
When the rates are calculated, the values are 1/10 mile per minute
Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal
Read more about rate at:
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Factor:
(m+5)(m+7)
Solve for the numbers inside, set it = to 0:
m+5=0 >solve
m=-5
m+7=0>solve
m=-7
Answer:
Rotation
Step-by-step explanation:
Given:
Triangle DEF is congruent to Triangle GHJ by the SSS theorem
To find: transformation required to map Triangle DEF onto Triangle GHJ
Solution:
Two figures are said to be congruent if they overlap each other.
Two polygons are said to be congruent if they have same size and shape.
A rotation is a transformation that turns a figure about the center of rotation.
Rotation transformation is required to map Triangle DEF onto Triangle GHJ
Answer:
24 units
Step-by-step explanation:
The volume of the cylinder = πr²x
Where r is the radius of the base and x is the height of the cylinder.
πr²x = 1,176π
π×(14/2)²x = 1,176π
dividing by π both sides,
(14/2)²x = 1,176
7²x = 1,176
49x = 1,176
x = 1,176/49
= 24 units
