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Neko [114]
3 years ago
11

Suzie is making granola. she uses almonds,walnuts, and pecans in the ratio of 4:2:5. lilly uses 50 ounces of walnuts. (

Mathematics
1 answer:
patriot [66]3 years ago
6 0
The weight of the almonds would be 100 ounces and the total weight of the granola would be 275 ounces since 50 / 2 = 25 to find out what to multiply the other ones by so you do 4 x 25 = 100 then 5 x 25 = 125 finally add all of it together 125 + 100 + 50 = 275 ounces.
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What is the square root of 1000/100000
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Remember that \sqrt{\frac{x}{y} }= \frac{ \sqrt{x} }{ \sqrt{y} } so
\sqrt{\frac{1000}{100000} }= \frac{ \sqrt{1000} }{ \sqrt{100000} }
find the individual square roots
\frac{ \sqrt{1000} }{ \sqrt{100000} }=\frac{ 10\sqrt{10} }{ 100\sqrt{10} } = \frac{10}{100} times \frac{ \sqrt{10} }{ \sqrt{10} }  = \frac{10}{100}   times 1= \frac{1}{10}

answer is 1/10
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Turn 25/4 into a mixed number
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Answer:

=x^-2

Step-by-step explanation:

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For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then wri
Anna007 [38]

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

8 0
3 years ago
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