When doing consecutive numbers you have to think about how you get to the next number when counting. If I start with 5, I have to add 1 to get to 6, and add 2 to get to 7. This is the same way we do this problem except we don't know the starting number so we use x.
x + (x + 1) + (x + 2) = 117 Combine like terms
3x + 3 = 117 subtract 3 from both sides
3x = 114 divide 3 on both sides
x = 38
x + 1 = 39
x + 2 = 40
The question wants the smallest number, x = 38
Answer: 3 x 5^2 x 7
525 / 3
= 175
175 / 5
= 35
35 / 5
= 7
7 / 7
= 1
Therefore,
3 x 5^2 x 7
The median of the trapezoid is the average of the bases. If we draw the trapezoid that is being described in this item, we will deduce that AB and DC are the bases and EF is given to be the median.
For this item,
EF = (AB + CD) / 2
Part A:
EF = (15 + 11) / 2 = 13
Part B:
AB = 2EF - CD
AB = (2)(14) - 10 = 18
Part C:
18 = ((5n - 9) + (2n + 3))/2
18 = (7n - 6) / 2
n = 6
Part D:
2y + 4 = ((5y + 2) + (-3y + 8))/2
y = 1
EF = 2(1) + 4 = 6
AB = (5(1) + 2 = 7
AB = -3(1) + 8 = 5
Answer:
x = 61
Step-by-step explanation:
A straight line equals 180, so:
2x + 3 + x - 6 = 180
add like terms
3x - 3 = 180
add 3 to both sides
3x = 183
divide by 3
x = 61
Answer:
0.0977
Step-by-step explanation:
From the question,
A = πR²...................... Equation 1
Where A = Area of the circular flower garden, R = Radius of the circular flower garden.
Also,
A' = πr²..................... Equation 2
Where A' = Area of the circular pool, r = radius of the circular pool.
If a coin is tossed at random into the garden, the probability that the coin will land in the pool is
Pr = Area of the pool(A')/Area of the garden(A)
Pr = A'/A....................... Equation 3
Substituting equation 1 and 2 into equation 3
Pr = πr²/πR².
Pr = r²/R².................... Equatio 4
Given: R = 16/2 = 8 feet, r = 5/2 = 2.5 feet.
Substitute these values into equation 4
Pr = 2.5²/8²
Pr = 6.25/64
Pr = 0.0977