Answer:
B is correct
Step-by-step explanation:
These are Absolute Value expressions. (How far from 0 on the number line) So disregard negative or positive signs. The only true statement would be 2<4.
Answer:
Step-by-step explanation:
In a coin toss the probability of tossing a head is 0.5 (50% head/50% tails)
If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:
R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of 
so:
<u>For example, to toss 4 heads in 5 rounds: </u>
The price of one hat is $2 and one pair of mittens is $5
Step-by-step explanation:
Hats and mittens are on sale at the store!
- One woman was able to buy 5 hats and 4 pairs of mittens for $30
- Another woman purchased 3 pairs of mittens and 2 hats for $19
- The price of one hat is x
- The price of one pair of mittens is y
We need to find x and y
∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30
∵ The price of one hat is x
∵ The price of one pair of mittens is y
- Multiply 5 hats by x and 4 pairs of mittens by y and equate
their sum by 30
∴ 5x + 4y = 30 ⇒ (1)
∵ Another woman purchased 3 pairs of mittens and 2 hats for $19
- Multiply 2 hats by x and 3 pairs of mittens by y and equate
their sum by 19
∴ 2x + 3y = 19 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2 and equation (2) by 5 to eliminate x
∵ -10x - 8y = -60 ⇒ (3)
∵ 10x + 15y = 95 ⇒ (4)
- Add equations (3) and (4)
∴ 7y = 35
- Divide both sides by 7
∴ y = 5
Substitute the value of y in equation (1) or (2) to find x
∵ 2x + 3(5) = 19
∴ 2x + 15 = 19
- Subtract 15 from both sides
∴ 2x = 4
- Divide both sides by 2
∴ x = 2
The price of one hat is $2 and one pair of mittens is $5
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
#LearnwithBrainly
When comparing and contrasting, it's always good to think about what your doing it with.
I'm not going to give to a full paragraph, but I'd love to help get one started for you!
First, let's look at the definition of both terms:
-Design: "<span>purpose, planning, or intention that exists or is thought to exist behind an action, fact, or material object" ~ Google
-Problem Solving: "Taking different approaches to finding a solution to the problem, or task at hand."
Now, let's compare. When designing things, you in a way, are problem solving to figure out how to create or build a solution to a problem. This can be through trial and error, or complex thinking.
I hope this helps, and good luck! :)</span>
Substitution is best to use one one or both equations is already solved for one of the variables. Elimitation can be use if all variables have a coefficient other than 1.
