Answer:
A+3B=4+5r
Step-by-step explanation:
Given that,
A = 1+r+7r
B = 1-r
We need to find an expression that is equal to A+3B.
Putting the values of A and B in A+3B, we get :
A+3B = 1+r+7r + 3(1-r)
=1+8r+3-3r
=(1+3) +(8r-3r)
=4+5r
Hence, the values of A+3B equals 4+5r.
The range of possible values for the volume of the boxes would be 1200 - 1800 cubic inches
The dimensions of the rectangular cardboard boxes are given as
Case I
Length = 20 inches
breadth = 15 inches
Height = 4 inches
Volume of the rectangular cardboard box in case I = Length x breadth x breadth
= 20 x 15 x 4
= 1200 cubic inches
Similarly,
Case II
Length = 20 inches
breadth = 15 inches
Height = 6 inches
Volume of the rectangular cardboard box in case I = Length x breadth x breadth
= 20 x 15 x 6
= 1800 cubic inches
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Multiply 3 times 6 and then you get 18 all of the possible outcomes
<u>Answer:</u>
Solving for x in 12x − 39 ≤ 9 and −4x + 3 < −6 we get 2.25 < x ≤ 4
<u>Solution</u>:
Need to find the value of x which satisfies following two given expressions
12x − 39 ≤ 9 ------(1)
−4x + 3 < −6 ------ (2)
Lets first solve expression (1)
12x − 39 ≤ 9
Adding 39 on both sides , we get
12x−39 + 39 ≤ 9 +39
=>12x ≤ 48
=> x ≤ 48/12
=> x ≤ 4
Now solving expression (2)
−4x+3<−6
=> -4x < -6 – 3
=> -4x < -9
=> 4x > 9
=> x > 9/4
=> x > 2.25
So from solution of expression (1) and (2) , we get x ≤ 4 and x > 2.25
Hence required value of x is 2.25 < x ≤ 4.
