A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
First calculate the circumference. Usually this is the diameter times pi, but since we are told to estimate pi, the circumference equals 56 * 22/7 or 176 feet.
In 4 minutes, 4 * 60 = 240 seconds pass. In this time, a 20 second period will occur 240/20 = 12 times.
So we know that the rider rotates 12 times and each rotation takes them 176 feet, meaning that they will travel 12 * 176 = 2112 feet
Answer:
<h2><u><em>
x = 25</em></u></h2>
Step-by-step explanation:
What is the solution to this equation?
6 * (x - 5) = 4x + 20
6x - 30 = 4x + 20
2x = 20 + 30
2x = 50
x = 50 : 2
x = 25
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check
6 * ( 25 - 5) = 4 * 25 + 20
6 * 20 = 100 + 20
120 = 120
the answer is good
Answer:
3:1, 24 gallons blue 8 gallons yellow
Step-by-step explanation:
Jenny will use 24 gallons of blue paint and 8 gallons of yellow paint
Their ratio is 24:8 = 3:1
