the answer is the second choice
Answer:
The book costs $2 and the pencil also costs $2.
Step-by-step explanation:
It is easy to get the value of the book and the pencil if we use<em> algebraic expressions.</em>
Let x be the cost of the book and let y be the cost of the pencil.
The sum of 2 books and a pencil is $6.00
The difference of cost between 3 books and 2 pencils is $2.00.
Step 1: Let's get the value of y first.
2x + y = 6
y = 6 - 2x
Step 2: Let's substitute the value of y and look for the value of x.
3x - 2y = $2.00
3x - 2(6-2x) = 2
3x - 12 + 4x = 2
7x = 12 + 2
7x = 14
x = 
x = $2 (this is the cost of the book)
Step 3: Let's substitute the value of x and look for the value of y.
2x + y = 6
2 (2) + y = 6
4 + y = 6
y = 6 - 4
y = $2 (this is the cost of the pencil)
Let's check:
2x + y = $6
2(2) + 2 = 6
4 + 2 = 6
6 = 6<em> (CORRECT)</em>
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Answer:
Min. 1st Qu. Median Mean 3rd Qu. Max.
3.10 11.55 12.15 15.35 18.45 30.00
Step-by-step explanation:
The five-number summary includes five things that are:
1. Minimum Value
2. First Quartile (Q₁)
3. Median
4. Third Quartile (Q₃)
5. Maximum Value
So,
1. Minimum Value = 3.10
It can be found by arranging the data in ascending order, the first value we will get is the minimum value.
2. First Quartile is the middle value between Minimum value and Median of data after arranging data in ascending order.
First Quartile (Q₁) = 11.55
3. Median is the middle value of the data after arranging them in ascending order.
Median = 12.15
4. The third Quartile is the middle value between Median and Maximum Value of data after arranging data in ascending order.
Third Quartile (Q₃) = 18.45
5. Maximum Value is the largest value of the data or is the last value after arranging the data in ascending order.
Maximum Value = 30.
Percentiles are mostly use in very large data. Here n percent of data shows the nth percentile.
80 oz .. One pound is 16 oz if there is 5 pounds then you just multiply 16x5 and get 80 ounces
Step-by-step explanation:
load=1000N
effort=250N
load arm=25cm
effort arm=?
Now,
E×E.D=L×L.D
250×E.D=1000×25
E.D=1000×25÷250
E.D=100cm
therefore,effort arm is 100cm.
