Answer:
1. 4/9
2. 80,100,6.5
3. 10 and 11
4. 56cm
5. 3 an4
6. Real, Rational, Integer
7. All whole numbers are natural numbers
8. -1 1/2
9. √72
10. √9
Good luck :)
Step-by-step explanation:
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
Answer: B. The data represent a sample since the data are a subset of units.
Step-by-step explanation:
- A population is the largest group of entire observations that can be made during a study.
- A sample is a finite subset of the population that represents the entire population.
Here,
Population = Participants for the study were those who used a popular social networking Web site.
Since the entire data for the "persons used a popular social networking Web site" is not possible.
There have been taken a sample of them.
∴ Correct answer is B. The data represent a sample since the data are a subset of units.
Step-by-step explanation:
due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.
5x - 5 = 6x - 27
-5 = x - 27
x = 22
Answer:
Step-by-step explanation:
General slope intercept form equation of straight line is given as
where m is slope and b is y-intercept
here m=24 and b=-5
Therefore
