<h3>Answer:</h3>
10 5/8 cups
<h3>Explanation:</h3>
pot amount = 9 × (bowl amount) + (leftover amount)
... = 9 × (1 1/8) + 1/2
... = 9 × (1 + 1/8) + 4/8 . . . . . show 1 1/8 as a sum, rewrite 1/2 to 4/8
... = 9 + 9/8 + 4/8 . . . . . . . . eliminate parentheses using the distributive property
... = 9 + 13/8 . . . . . . . . . . . . add the fractions
... = 9 + 1 5/8 . . . . . . . . . . . convert from improper fraction to mixed number
... = 10 5/8 . . . . . cups . . . add the integer parts
The answer for j is 16 and the answer for k is 21
Answer:
(7 x - 1) (x + 1)
Step-by-step explanation:
Factor the following:
7 x^2 + 6 x - 1
Factor the quadratic 7 x^2 + 6 x - 1. The coefficient of x^2 is 7 and the constant term is -1. The product of 7 and -1 is -7. The factors of -7 which sum to 6 are -1 and 7. So 7 x^2 + 6 x - 1 = 7 x^2 + 7 x - x - 1 = (7 x - 1) + x (7 x - 1):
(7 x - 1) + x (7 x - 1)
Factor 7 x - 1 from (7 x - 1) + x (7 x - 1):
Answer: (7 x - 1) (x + 1)
The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3
Answer:
Excel is a handy software that can be used to store and organize many data sets. Using its features and formulas, you can also use the tool to make sense of your data. For example, you could use a spreadsheet to track data and automatically see sums averages and totals.
Step-by-step explanation:
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