Answer:
$162,000
Step-by-step explanation:
I hope this is help
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
Answer:
$121.5
Step-by-step explanation:
$180 × 0.25 = $45 <-- because it is a discount, we will subtract
$180 - $45 = $135 <-- price with 25% discount
$135 × 0.10 = $13.5
$135 − $13.5 = $121.5
Answer:
x=-8
Step-by-step explanation:
1 Simplify 1/10x to x/10.
x/10 + 9/10 = 1/10
2 Join the denominators.
x+9/10 = 1/10
3 Multiply both sides by 10.
x+9 = 1/10×10
4 Cancel 10.
x+9=1
5 Subtract 9 from both sides.
x=1-9
6 Simplify 1-9 to -8.
x=-8
Simplifying
3x + 3y = -3
Solving
3x + 3y = -3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
3x + 3y + -3y = -3 + -3y
Combine like terms: 3y + -3y = 0
3x + 0 = -3 + -3y
3x = -3 + -3y
Divide each side by '3'.
x = -1 + -1y
Simplifying
x = -1 + -1y
