Answer:
the solution is (-4, -3)
Step-by-step explanation:
Multiply the first equation by 2. This produces 4x + 2y = -14.
Now combine this result with the second equation:
4x + 2y = -14
-3x - 2y = 10
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x = -4
Subbing -4 for x in the first equation yields 2x - 4 = -7, or 2x = -3.
Then x = -3/2, and the solution is (-4, -3)
Height = x (This is given)
Length = 5x
Width = 6x
Volume = length × width × height
The equation will be: (5x)(6x)(x) = 1920
simplify:
30x² × (x) = 1920
30x³ = 1920
Divide both sides by 30
x³= 64
x = ∛64
x= 4
If x = height, then, the height is 4cm
5x = length
20cm = length
6x = width
24cm = width
Answer:
Brand A is the better buy with unit rate $4/cup.
Step-by-step explanation:
Given:
Brand A 33 fluid ounce bottle = $16.50
Brand B 1 cup = $4.80
We need to find the unit cost and find which is the better buy.
Solution:
For Brand A;
33 fluid ounce = $16.50
1 fluid ounce = Cost for 1 fluid ounce
By using Unitary method we get;
Cost for 1 fluid ounce = 
Now we know that;
1 cup = 8 fluid ounce.
1 fluid ounce = $0.5
8 fluid ounce = Cost for 8 fluid ounce of olive oil.
Again By using Unitary method we get;
Cost for 8 fluid ounce of olive oil = 
Hence Brand A 1 cup of olive oil cost $4.
For Brand B;
Given:
1 cup of olive oil =$4.80
Hence Brand B 1 cup of olive oil cost $4.8.
By Comparing both brands we can see that per unit cost of Brand A is less than Brand B.
Hence Brand A is the better buy.
Answer:
x = 8
Step-by-step explanation:
3(x−5) = 9 (by PEDMAS, distribute 3 into parentheses by distributive property)
x(3)−5(3) = 9
3x - 15 = 9 (add 15 to both sides)
3x = 9 + 15
3x = 24 (divide both sides by 3)
x = 24/3
x = 8