b = 3
Step-by-step explanation:
Add similar terms :
Collect like terms and simplify
No he is not correct .
Break apart the number 8,184
You will get
8000 + 100 + 80 + 4
The numbers we are comparing are 8000 and 80
80 x 10 = 800
The number we are looking for is 8000
This makes the claim that one 8 is 10 times greater false as it is in fact 100 times as great.
That would be $1.50 per Gallon
Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
Answer:
She will be able to fill 9 shelves with 1 book left over.
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