Answer: 5/2 < 2.71 < 2 3/4 < 5
Write the equation of the cost
p stands for the cost per pear, a stands for the cost per apple
6p + 3a = 3.9
2p + 5a = 3.3
Solve the equation system
To solve the equation system, we work on eliminating variable p so we will find the number of a. To eliminate, we have to change the coefficient of p to the same number (i will change it to coefficient 6)
6p + 3a = 3.9 (multiply 1)
2p + 5a = 3.3 (multiply 3)
---------------------------------
6p + 3a = 3.9
6p + 15a = 9.9
-------------------- - (substract)
-12a = -6
a = -6/-12
a = 0.5
To find the cost per pear, subtitute the number of a to one of the equation
2p + 5a = 3.3
2p + 5(0.5) = 3.3
2p + 2.5 = 3.3
2p = 3.3 - 2.5
2p = 0.8
p = 0.4
The cost of one pear is $0.4
Answer:
36 units.
Step-by-step explanation:
we will use concept of basic proportionality theorem,
it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.
Example:
In a triangle ABC
If DE is parallel to BC
D is a point on line AB and E is point on AC, then
by basic proportionality theorem)
AD/DB = AE/EC
_____________________________________
in the problem given one side has a parallel line drawn to it
Hence we can use basic proportionality theorem in it
20/30 = 24/?
2/3 = 24/?
=> ? = 24*3/2 = 36
Hence, missing segment value is 36 units.
Step-by-step explanation:
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The lowest rank of the class is unknown to us.
Let's say, it's x.
highest marks =2 × lowest rank + 7
=> 87 = 2x + 7 (this is the equation we gotta solve)
=> 87 - 7 = 2x
=> 2x = 80
=> x = 40
And x is the lowest rank of the class, so we got the required answer.

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it can be 17 since the denominators are in increasing order and 17 only fits in.
I'm looking for any other pattern that can be present here.
The answer is B. If you use the guess and check method, because area is base times height (A=bh) Multiply 9 2/3 by each of the numbers until you get 65 1/2 which in this case is B, 6 3/4