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2 years ago

Nick mowed about 3/5 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. How much is left to mow?

1 answer:

6 0

Soo 1/4 is equal to 5/20 and 3/5 is equal to 12/20 and you add the two sooo 17/20 but you wanna find how much is left to mow soo 1 - 17/20 is 3/20
So the answer is
3/20

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X + 2y = 5 x - 3y = 7 What is the value of the y-determinant? -2 -1 2

grandymaker [24]

Answer:

y-determinant = 2

Step-by-step explanation:

Given the following system of equation:

x + 2y = 5
x - 3y = 7

Let's represent it using a matrix:

$\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] = \left[\begin{array}{ccc}5\\7\end{array}\right]$

The y‐numerator determinant is formed by taking the constant terms from the system and placing them in the y‐coefficient positions and retaining the x‐coefficients. Then:

$\left[\begin{array}{ccc}1&5\\1&7\end{array}\right]$

y-determinant = (1)(7) - (5)(1) = 2.

Therefore, the y-determinant = 2

5 0

3 years ago

2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.

kaheart [24]

Answer:

$x=17$

Step-by-step explanation:

$2x+3y=1$

$y=-2-9$

In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, $y$ . In this case, we need to isolate $y$ in the first equation so that both equations $=y$ .

$2x+3y=1$

$3y=-2x+1$

$\frac{3y}{3}=\frac{-2x+1}{3}$

$y=-\frac{2}{3}x+\frac{1}{3}$

With this, we now know that both $-2-9$ and $-\frac{2}{3}x+\frac{1}{3}$ are equal to $y$ , so we can set them equal to each other.

$y=-\frac{2}{3}x+\frac{1}{3}$

$y=-11$

$-\frac{2}{3}x+\frac{1}{3}=-11$

Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for $x$ .

$-\frac{2}{3}x+\frac{1}{3}=-11$

$-\frac{2}{3}x=-11-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{34}{3}$

$-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})$

$x=\frac{102}{6}=17$

$x=17$

Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

4 0

2 years ago

[3x^(2/3)] • [7x^(1/4)] photo of equation above

aalyn [17]

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n}
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\left( 3x^{\frac{2}{3}} \right)\left( 7x^{\frac{1}{4}} \right)\implies 3\cdot 7x^{\frac{2}{3}}\cdot x^{\frac{1}{4}}\implies 21x^{\frac{2}{3}+\frac{1}{4}}\implies 21x^{\frac{(4)2+(3)1}{12}}
\\\\\\
21x^{\frac{11}{12}}\implies 21\sqrt[12]{x^{11}}$