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3 years ago

Mary has made is going to make muffins. She needs 36 ounces. She has 16 ounces. How many more cups does she need?

Mathematics

1 answer:

pickupchik [31]3 years ago

6 0

36 ounces - 16 ounces = 20 ounces so that should add up to about 2.5cups

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Simplify 10:11 as a ratio

BlackZzzverrR [31]

Answer:

10:11

Step-by-step explanation:

10/11 is a reduced fraction, no common factors between the numerator and denominator, so this ratio is already simplified as far as we can go.

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4 years ago

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26. Define a relation ∼ ∼ on R 2 R2 by stating that ( a , b ) ∼ ( c , d ) (a,b)∼(c,d) if and only if a 2 + b 2 ≤ c 2 + d 2 . a2+

Tresset [83]

Answer:

~ is reflexive.

~ is asymmetric.

~ is transitive.

Step-by-step explanation:

~ is reflexive:

i.e., to prove $\forall (a, b) \in \mathbb{R}^2$ , $(a, b) R(a, b)$ .

That is, every element in the domain is related to itself.

The given relation is $\sim: (a,b) \sim (c, d) \iff a^2 + b^2 \leq c^2 + d^2$

Reflexive:

$(a, b) \sim (a, b)$ since $a^2 + b^2 = a^2 + b^2$

This is true for any pair of numbers in $\mathbb{R}^2$ . So, $\sim$ is reflexive.

Symmetry:

$\sim$ is symmetry iff whenever $(a, b) \sim (c, d)$ then $(c, d) \sim (a, b)$ .

Consider the following counter - example.

Let (a, b) = (2, 3) and (c, d) = (6, 3)

$a^2 + b^2 = 2^2 + 3^2 = 4 + 9 = 13$

$c^2 + d^2 = 6^2 + 3^2 = 36 + 9 = 42$

Hence, $(a, b) \sim (c, d)$ since $a^2 + b^2 \leq c^2 + d^2$

Note that $c^2 + d^2 \nleq a^2 + b^2$

Hence, the given relation is not symmetric.

Transitive:

$\sim$ is transitive iff whenever $(a, b) \sim (c, d) \hspace{2mm} \& \hspace{2mm} (c, d) \sim (e, f)$ then $(a, b) \sim (e, f)$

To prove transitivity let us assume $(a, b) \sim (c, d)$ and $(c, d) \sim (e, f)$ .

We have to show $(a, b) \sim (e, f)$

Since $(a, b) \sim (c, d)$ we have: $a^2 + b^2 \leq c^2 + d^2$

Since $(c, d) \sim (e, f)$ we have: $c^2 + d^2 \leq e^2 + f^2$

Combining both the inequalities we get:

$a^2 + b^2 \leq c^2 + d^2 \leq e^2 + f^2$

Therefore, we get: $a^2 + b^2 \leq e^2 + f^2$

Therefore, $\sim$ is transitive.

Hence, proved.

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3 years ago

Use the equation 124*∗15 = 1,860 and what you know about fractions, decimals, and place value to explain how to place the decima

lidiya [134]

Answer:

0.186

Step-by-step explanation:

1.24 x 0.15= 0.186

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3 years ago

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Sally bought 3 packs of strawberries for $7.65. What is the unit price? (price per ONE pack)

Arturiano [62]

Answer:

Step-by-step explanation:

you just need to divide $7.65 by 3

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3 years ago

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18-(4x+3y) if x = -5 and y = 3

zaharov [31]

Answer:

this is your answer

I hope it helps you

,:-))

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