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dolphi86 [110]
3 years ago
8

Sara can complete 3/4 of a puzzle in 7/8 of an hour. How much a puzzle can she complete in an

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

x = 6/7 of a puzzle

Step-by-step explanation:

Number of puzzle : time taken

= 3/4 : 7/8

How much a puzzle can she complete in an hour?

Let

x = number of puzzle to complete

Number of puzzle : time taken

= x : 1

Equate both ratios to solve for x

3/4 : 7/8 = x : 1

3/4 ÷ 7/8 = x / 1

3/4 × 8/7 = x / 1

24/28 = x / 1

Cross product

24 * 1 = 28 * x

24 = 28x

x = 24/28

= 6/7

x = 6/7 of a puzzle

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x= -1

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Find the Credit Card Interest. Assume that it takes 10 days for a payment to be received and it's a 30 day month.
iren [92.7K]

The interest for each method will be:

  • Previous Balance Method = $37.50
  • Adjusted Balance Method = $36.88
  • Average Daily Balance Method = $2966.67

<h3>How to calculate the interest?</h3>

The Previous Balance Method will be:

= PTR

= 3000 × (1/12) × 0.15

= $37.50

The Adjusted Balance Method will be:

P = 3000 - 50 = 2950

t = 1/12

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1 year ago
Please help!
Serggg [28]
The answer is C) (x - 1)2 = 0.5 

The equation is
-9 + 12x - 6x² = 0
Multiply the following equation by (-1) on the both sides:
9 - 12x + 6x² =0

Now, we will use the method of completing the square:
ax² + bx + c = 0             ⇒ a(x + d)² + e = 0,
where d = b/2a, e = c - b² / 4a

The quadratic equation is: ax² + bx + c = 0
Our equation is:                  6x² - 12x + 9 = 0
so in our equation a = 6, b = -12, c = 9

Now, let's replace it:
d = b/2a = -12/2*6 = -12/12 = -2
e = c - b² / 4a = 9 - (-12)²/4*6 = 9 - 144/24 = 9 - 6 = 3
a(x + d)² + e = 0,
6(x + (-1))² + 3 = 0
6(x - 1)² = 3
(x - 1)² = 3/6
(x - 1)² = 1/2
(x - 1)² = 0.5
4 0
3 years ago
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