Answer:
1. x = 86
2. x = 31
3. x = 64
4. x = 29
Step-by-step explanation:
1. 2x + 8 = 180
-8 -8
2x = 180 (divide both sides by 2 to get x by itself)
2. 3x - 3 = 90
+ 3 +3
3x = 93 (divide both sides by 3 to get x by itself. you divide because 3x is multiplying and you have to do the reverse operation)
3. 2x -5 + x - 7 = 180 (you combine like-terms)
3x -12 = 180
+12 +12
3x = 192 (you divide by 3 on both sides)
4. x + 1 + x + 4 + x - 2 = 90 (combine like-terms)
3x + 3 = 90
-3 -3
3x = 87 (divide both sides by 3)
Answer:
Step-by-step explanation:
THe sides are the same length
11=x+5
x=6
Answer:
B) $14.52
Step-by-step explanation:
1 lb of pork chop = $3.30
Mary is buying 4.4 pounds.
Multiply 4.4 with 3.30
4.4 x 3.30 = 14.52
$14.52, or B) is your answer
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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:
Explanation:
All the other expressions can be factorized. Let's see why:
1) 
This is the sum of the cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
2) 
This is the difference between two cubes, and this can be factorized as follows:
In this case, a=m and b=1, so we can factorize as
3) 
This is the difference between two square numbers, and it can be factorized as follows
In this case, a=m and b=1, so we can factorize as
