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Oduvanchick [21]

3 years ago

12

4 equals 2 m -5 n 4 m

1 answer:

Ostrovityanka [42]3 years ago

7 0

M = 6 - 5n hope this helps

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Five boxes of candles contain a total of 60 candles each box holds the same number of candles you have 84 candles how many boxes

maks197457 [2]

There are 12 candles in each box, so the there are a total of 7 boxes

7 0

3 years ago

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Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line through (4, −5, 2) and parallel

Nataliya [291]

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e ( $x_o, y_o, z_o$ ) and are parallel to $\dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}$

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

$x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct$

x = 4 + t

y = -5 + 2t

z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

$\begin {vmatrix} x = 4+ t \\ \\ \dfrac{x-4}{1} = t \begin {vmatirx} \end {vmatrix}$ $\begin {vmatrix} y = - 5+2t \\ \\ \dfrac{y+5}{2} =t \end {vmatrix}$ $\begin {vmatrix} z =2+t \\ \\ \dfrac{z-2}{1} =t \end {vmatrix}$

∴

$\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}$

8 0

3 years ago

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

$\therefore x =1,000\times 8$

$\therefore x =\$8,000$

Thus, total money earned in December is $8,000.

3 0

3 years ago

A. -10+(+10)<br> b.-13+(-13)<br> c. -11 + 0

DochEvi [55]

A is 0
B is-26
C is -11

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3 years ago

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Answer please? 50 pts

Lady_Fox [76]

Answer:

It was a

Step-by-step explanation:

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3 years ago

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