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3 years ago

Which is greater : 21/40 or 3/5

Mathematics

2 answers:

amm18123 years ago

6 0

3/5
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you are fantastic

vitfil [10]3 years ago

5 0

3/5 is greater because the decimal is .6 while 21/40 is .525

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Katie's bank statement shows a closing balance of $178.11. There are no outstanding checks or deposits. Her checkbook shows a ba

castortr0y [4]

Overdraft fee in the amount of 20.00

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3 years ago

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Given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true about the system?

Anna35 [415]

<h3>Answer: Choice C) </h3><h3>The system can only be independent and consistent</h3>

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Explanation:

Let's go through the answer choices

A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
C) We'll get back to this later
D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

6 0

3 years ago

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Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company c

olasank [31]

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations. For example,

Is means =

Larger than +

Four times a 4*a

F is 550 less than S F = S – 550

Total of A, B, C A + B + C

This seems obvious – until you get stuck on a word problem. So,

“the first company” , “a second company” becomes Let their costs be F and S

Let K be the number of kilograms

“$20 to ship a medium box, plus an additional $2 per kilogram” F = $20 + 2*K

“10 for the same size of box, plus an additional $3 per kilogram” S = $10 + 3*K

“the two shipping methods will cost the same amount” F = S

“What is that weight?” report K

Now, the math:

F = S

20 + 2K = 10 + 3K

$10 = K

3 0

3 years ago

(10

Anni [7]

Given:

The matrix multiplication

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

To find:

The order of resulting matrix.

Solution:

We know that, if order of first matrix is $m_1\times n_1$ and the order of second matrix is $m_2\times n_2$ , then the order of these two matrices is $m_1\times n_2$ .

We have,

$\begin{bmatrix}4&5&6\\1&2&3\end{bmatrix}\begin{bmatrix}10\\20\\30\end{bmatrix}$

Here, the order of first matrix is $2\times 3$ and the order of the second matrix is $3\times 1$ . So, the order of the second matrix is $2\times 1$ . It is also written are 2 by 1.

Therefore, the correct option is A.

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3 years ago

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Please help! The choices for the first box is right/left, right, or left. The choices for the second box is up/down, up, or down

natita [175]

One unit to the right and three units up!
Hope this helps! :)

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3 years ago

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