A full strip plus another half of a strip of staples contains 315 staples

Mathematics

1 answer:

Temka [501]3 years ago

8 0

Answer:

$210 staples$

Step-by-step explanation:

Lets solve this equation:

$x(fullstrip)+\frac{1}{2}x(halfstrip)=315.$

Combine terms:

$x+\frac{1}{2}x=\frac{3}{2}x \frac{3}{2}x=315$

$x=315*\frac{2}{3}$

$x=210$

So a full strip contains 210 staples.

Hope this helps :D please hit the crown

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3 years ago

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1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2

erik [133]

This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
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Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

(2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
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x^2 - 2x - 15 = 0
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x + 3 will have no meaning.
x - 5 = 0
x = 5

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Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer

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3 years ago

PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi

Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.