Answer: Percent change = 20%
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Work Shown:
A = old value = 25 (last week's number)
B = new value = 30 (current week's number)
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (30-25)/25 ] * 100%
C = [ 5/25 ] * 100%
C = 0.20* 100%
C = 20%
The percent change is 20%
The positive value of C indicates we have a percent increase.
Answer:Least common multiple ( LCM ) of 6 and 12 is 12. LCM(6,12) = 12. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Step-by-step explanation:
Step-by-step explanation:
37x + 41y = 70 --- R¹
41x + 37y = 86 --- R²
R¹ + R² : 78x + 78y = 156
78(x + y) = 156
x + y = 2 --- R³
R¹ - R² : -4x + 4y = -16
4(y - x) = -16
y - x = -4 --- R⁴
R³ + R⁴ : 2y = -2
y = -1
R³ - R⁴ : -2x = -6
x = 3
Answer:
Step-by-step explanation:
All the sides are complete, hence we can use the information given to find just 1 triangle
Triangles
From the given information, we have that:
m<B = pi/6 = 30 degres
c = 10
b = 5
This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet
