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3 years ago

10

Is the following a proportion? Yes or no? 6/9 = 14/21

1 answer:

tresset_1 [31]3 years ago

4 0

I think it's not, because for proportion, you use the given clues to solve for a value or an unknown number.
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a paper factory makes 8415 sheets of paper and 45 minutes how many sheets of paper does the factory make in one minute

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Do 8415 divided by 45 which is 187

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kelly bought 1 yard of fabric . she bought 3/8 yard more than shannon . how many yards of fabric did shannon buy ?

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In 2 hours Cara read 48 pages. If she read he same number of pages each hour, how many pages did Cara read in one hour?

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Find the solution to the system of equations represented by this matrix equation using an inverse matrix.

8090 [49]

Answer:

D) $\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right]$

Step-by-step explanation:

For matrix $\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

the inverse matrix is the transpose of the cofactor matrix, divided by the determinant: $\dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]$

Your inverse matrix is: $\dfrac{1}{2(-3)-(1)(2)}\left[\begin{array}{cc}-3&-1\\-2&2\end{array}\right]$

so the solution is ...

$\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}\frac{3}{8}&\frac{1}{8}\\\frac{1}{4}&-\frac{1}{4}\end{array}\right] \cdot\left[\begin{array}{c}2\\4\end{array}\right] =\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right] \qquad\text{matches selection D}$

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3 years ago

You invest $3,150.00 in a stock plan. The first year, it loses 5% of its value. The second year, it gains 9% of its value. What

Norma-Jean [14]

First year it loses 5%
3,150×(1−0.05)
=2,992.5
second year gains 9%
2,992.5×(1+0.09)
=3,261.825

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