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ANEK [815]
3 years ago
7

58% of what number is 29

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Method 1:

p\%=\dfrac{p}{100}\\\\58\%=\dfrac{58}{100}=0.58\\\\n-a\ number\\\\0.58n=29\ \ \ \ |:0.58\\\\\boxed{n=50}

Method 2:

\begin{array}{ccc}58\%&-&29\\100\%&-&n\end{array}\ \ \ \ \text{cross multiply}\\\\58n=2900\ \ \ \ |:58\\\\\boxed{n=50}

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96%

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Points W and V create WV¯¯¯¯¯¯¯¯¯. Point W is located at (−6,−6) and point V is located at (−6,−2) Imagine WV¯¯¯¯¯¯¯¯¯ is rotate
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Answer:

Points W and V create WV¯¯¯¯¯¯¯¯¯. Point W is located at (−6,−6) and point V is located at (−6,−2) Imagine WV¯¯¯¯¯¯¯¯¯ is rotated 180∘ clockwise about the origin. Answer the following questions about W′V′¯¯¯¯¯¯¯¯¯¯¯¯¯.

A: What are the coordinates of point W′?

B: What are the coordinates of point V′?

Select two answers: one for Question A and one for Question B.

B: (6,−2)

A: (6,6)

B: (6,2)

B: (−6,6)

B: (6,6)

A: (−6,2)

A: (6,−6)

A: (6,2)

Step-by-step explanation:

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8 0
2 years ago
Determine
mihalych1998 [28]

Answer:

=4.+2.

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector \vec b is a linear combination of \vec a_1 and \vec a_2 if there are two scalars x_1, x_2 such as

\vec b=x_1\vec a_1+x_2\vec a_2

In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

We set the equation

=x_1.+x_2.

Multiplying both scalars by the vectors

=+

Equating each coordinate, we get

4x_1-4x_2=8

5x_1+3x_2=26

-4x_1+3x_2=-10

Adding the first and the third equations:

-x_2=-2

x_2=2

Replacing in the first equation

4x_1-4(2)=8

4x_1=8+8

x_1=4

We must test if those values make the second equation become an identity

5(4)+3(2)=20+6=26

The second equation complies with the values of x_1 and x_2, so the solution is

=4.+2.

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3 years ago
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