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Alika [10]
2 years ago
6

Se the distributive property to remove the parentheses. -(-3v-4w+1)

Mathematics
1 answer:
KIM [24]2 years ago
4 0

Hii!

\leadsto\parallel\boldsymbol{Answer.}\parallel\gets

_________________________________________________________

3v+4w-1

__________________________________________________________

\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets

We use the distributive property to "distribute" the minus sign.

\sf -(-3v-4w+1)=-1\cdot(-3v)+(-1)\cdot(-4w)+(-1)\cdot1}.

<em>Simplify!</em>

<em />\sf 3v+4w-1}. <em>Which is our final answer.</em>

<em></em>

<em>Hope that this helped! Best wishes.</em>

<em></em>\textsl{Reach far. Aim high. Dream big.}

\boldsymbol{-Greetings!-}

_________________________________________________________

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A 20-gallon salt-water solution contains 15% pure salt. How much pure water should be added to it to produce a 10% solution?
Elanso [62]

15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.

If we add <em>x</em> gal of water to the solution, we end up with (20 + <em>x</em>) gal of solution. We want the new mixture to have a concentration of 10%, or

10% of (20 + <em>x</em>) gal = 0.1 * (20 + <em>x</em>) gal = 2 + 0.1<em>x</em> gal

of salt.

The amount of salt in the tank hasn't changed. Solve for <em>x </em>:

2 + 0.1<em>x</em> = 3

0.1<em>x</em> = 1

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3 years ago
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sveticcg [70]

Answer:

x = 14

2x = 28

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Step-by-step explanation:

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Picking a red checker from a bag of 9 black and 6 red checkers,replacing it, and picking another red checker
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3 years ago
A= [2, 3; 2, 1], B=[3; 5]. Find AB &amp; BA if possible
oksano4ka [1.4K]

Answer:

The value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right] and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right], B=\left[\begin{array}{ccc}3\\5\end{array}\right]

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2  and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

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

AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]

AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]

AB=\left[\begin{array}{ccc}21\\11\end{array}\right]

Hence, the value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right]

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1  and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

5 0
3 years ago
Mapoela walks 2 km 30 minutes. At that rate, how far could she walk in 1 ½ hours​
kogti [31]

Answer:

5

Step-by-step explanation:

2=30 so 30= 1/2 or an hour so 2+2=4 witch makes an gour half of 2 is 1 so it would make 5

4 0
2 years ago
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