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djyliett [7]
3 years ago
5

How can logical reasoning be applied to writing proofs?

Mathematics
1 answer:
lilavasa [31]3 years ago
3 0
It can be applied by making it sound more educated
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A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?
tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

3 0
3 years ago
The center of a circle is located at (3.8), and the circle has a radius that is 5 units long. What is the general form of the eq
defon

Answer:

The general equation of a circle is x² + y² - 6x - 16y + 48 = 0

3 0
3 years ago
Help plsss im begging
dolphi86 [110]

Answer:

The answer is A, $330

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!
GaryK [48]

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

6 0
3 years ago
Find the slope of the line through (4,−5) and (−2,1).
nordsb [41]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (- 2, 1)

m = \frac{1+5}{-2-4} = \frac{6}{-6} = - 1

4 0
3 years ago
Read 2 more answers
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