Answer:
Ella should add 
lbs of water.
Total weight of syrup 
lbs
Step-by-step explanation:
Weight:
Weight of sugar = 0.5 lbs.
Weight of water added = x lbs
Total weight = 0.5 + x lbs
Percentage:
0.5 + x -- 100%
0.5 -- 1.5%
Write a proportion:
Cross multiply:
Ella should add lbs of water.
Total weight of syrup
Answer: C. (-3, 9)
Step-by-step explanation:
Given
2|x-3|=12
Divide both sides by 2
2|x-3|/2=12/2
|x-3|=6
Take of absolute value sign (REMEMBER need to take into consideration of two conditions)
x-3=±6
1)x-3=6
x=9
2)x-3=-6
x=-3
**NOTE**: need to check each solution whether or not they are suitable
Hope this helps!! :)
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Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
Answer:
A - B = [ -1 3 ]
[ -6 2 ]
[ -4 -10 ]
Step-by-step explanation:
Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.
A = [ 4 7 ] B = [ 5 4 ]
[ -3 8 ] [ 3 6 ]
[ -5 -2 ] [ -1 8 ]
A - B = [ (4 - 5) (7 - 4) ]
[ (-3 - 3) (8 - 6) ]
[ (-5 - -1) (-2 - 8) ]
A - B = [ -1 3 ]
[ -6 2 ]
[ -4 -10 ]
Cheers.
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