Answer:
1. x=6
2. C <-26
3. p<6
4. -5x-44
Step-by-step explanation:
1. 2x = 3(x-2) - 3(x-6)
Distribute
2x= 3x-6 -3x+18
Combine like terms
2x =12
Divide by 2
2x/2 =12/2
x=6
2. C+6<-20
Subtract 6 from each side
C+6-6 < -20-6
C <-26
3. -5p > -30
Divide by -5. Remember to flip the inequality when dividing by a negative
-5p/-5 < -30/-5
p<6
4. -4 - 5(X+8)
Distribute
-4 -5x-40
Combine like terms
-5x-44
Answer:

Step-by-step explanation:
a^2 +b^2 =c^2 Use pythagorean theorem
8^2 +b^2 =9^2 Substitute in your known values
b=
b=
A triangle leg cannot be a negative length
Find cosine of angle theta.
The value of Z would be 225°
<h3>What is the angle at a point?</h3>
The angle at a point are angles that add up to 360°
Thus, X + Y + Z = 360°
X = 20°
Y = 135°
Then, Z = 360° - X - Y
Z = 360° - 20° + 135°
Z = 360° - 155°
Z = 205°
Therefore, the value of Z is 205°
Learn more about angle at a point here:
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Answer:
The customer saves 5.9 - 5.5 = $0.5
when he shops at store B
Step-by-step explanation:
Stores A and B sells bananas at different prices per pound.
Bananas are being sold for $0.59 a pound at Store A and $0.55 a pound at Store B.
If a customer wants to buy 10 pounds of bananas from store A and store B,
The customer would spend 0.59 × 10 pounds of bananas = $5.9
buying from store A and
The customer would spend 0.55 × 10 pounds of bananas = $5.5
buying from store B.
The customer spends more for 10 pounds of bananas if he buys from shop A.
The customer saves 5.9 - 5.5 = $0.5
when he shops at store B
Answer:
Helene is right
Step-by-step explanation:
Mathematically, the expected values is defined as the sum of all the possible outcomes that an event can have times the probality of the respective outcome:
x = ∑ p *i,
where x is the expected value, i represents every outcome that can occur, and p is the probability of said outcome.
Now, for the case of a dice, the expected value would be:
x = 1 *
+ 2 *
+ 3 *
+ 4 *
+ 5*
+ 6 *
,
as every outcome has the same chance of happenning. Solving we get that:
x=
*(1 +2 +3 +4+5+6) =
* 21 = 3.5
Helene is right.