The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
Given the following parameters
If the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
~q → ~p
q → p
p → ~q
The logically equivalent statement to p → q is:
~q → ~p
The conditional statement:
p → q
p and q are propositions, then the conditional statement is can be written as:
So, always that p is true, q is also true, this means that if q is not true, then p must also not be true.
Then we can rewrite this using the negation propositions, which are:
~p and ~q
These mean:
Not p and Not q respectively.
Then the statement:
"If q is not true, then p is not true"
Is written as:
~q → ~p
So this is the logically equivalent statement.
If you want to learn more about statements, you can read:
The next term in the sequence would be 512.
In order to find the next term, you need to find out what the relation between one term is to the next.
Start by dividing each number by the one before it to see if they have a common divisor:
8/2 = 4
32 / 8 = 4
128 / 32 = 4
The relationship therefore, is that the next term is simply acquired by multiplying the previous term by 4.
The next term would therefore be:
= Last term x 4
= 128 x 4
= 512
In conclusion, the next term in this sequence is 512.
Find out more at brainly.com/question/10716800.
b. 0
c. -6
It would be great if you could add a few words of explanation
Step-by-step explanation:
4 times 3x+2 subtracted by9
hope it helps
Answer:
12x-1
Step-by-step explanation:
First, you would have to distribute. Would mean to multiply the 4 with every number in the parenthesis.
4(3x+2)-9
12x+8-9
Now combine like terms
8-9 = -1
The answer is 12x-1