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Lemur [1.5K]
4 years ago
13

Which of the following ratios are equivalent? explain 14/21, 15:20, 40 to 60

Mathematics
1 answer:
galben [10]4 years ago
4 0

Answer:

15:20 and 40:60

Step-by-step explanation:

When simplified completely they both are equal to 2/3

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How many solutions does y=-x^2-4x+7 have
Anastaziya [24]

Answer:

x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

Step-by-step explanation:

Solve for x:

y = -x^2 - 4 x + 7

y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:

-x^2 - 4 x + 7 = y

Multiply both sides by -1:

x^2 + 4 x - 7 = -y

Add 7 to both sides:

x^2 + 4 x = 7 - y

Add 4 to both sides:

x^2 + 4 x + 4 = 11 - y

Write the left hand side as a square:

(x + 2)^2 = 11 - y

Take the square root of both sides:

x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)

Subtract 2 from both sides:

Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2

7 0
3 years ago
Alan had read 40 percent of a book. He has 6 more pages to finish. How many pages are there in the book?
irina1246 [14]

Answer:

The book has 10 pages.

Step-by-step explanation:

Let b represent the number of pages in the entire book.  

Alan has read 40% but has 60% left to read.  

60% of b is 6 pages (given).  

Thus, b = 6/0.60 = 10

The book has 10 pages.

7 0
3 years ago
Read 2 more answers
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