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3 years ago

7

rectangular room is 1.4 times as long as it is wide and it's perimeter is 29 meters. what is the dimension of the room

1 answer:

tekilochka [14]3 years ago

4 0

The answer to the question is 28&1 /4

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Lauren is shopping and finds 6 bracelets, 2 pairs of earrings, and 3 necklaces that she likes. How many ways can Lauren select 4

Grace [21]

Because it does not specify that she has to choose one or two from each category all pieces of jewelry can be treated as choices in a combination set.

the formula for a combination is

$C(n,r)= \frac{n!}{r!(n-r)!}$

where n is a total number of choices ( 11 )
and r is number chosen out of those choices (4)
so

C(11,4)= \frac{11!}{4!(11-4)!}

She has 330 possible choices to come home with 4 pieces of jewelry

5 0

3 years ago

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While sorting some change into piggy banks, belle put 2 coins in the first piggy bank, 8 coins in the second piggy bank, 32 coin

Bond [772]

512 coins will be in the fifth piggy bank

6 0

3 years ago

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A salesperson earns $300 per week, plus a 25% commission on each sale made. How much would the salesperson earn if he sold $650

Montano1993 [528]

Answer:

$800 = $300 +.05(x), x being the amount that must be sold

Subtract 300 from both sides

$500= .05(x)

Divide by .05

x=$10000

Step-by-step explanation:

5 0

3 years ago

5/3 divided by (-6/7).<br>Write your answer in simplest form.<br><br>Please please Help me!!

lana [24]

Answer:

-1 17/18

Step-by-step explanation:

I solved this.

7 0

2 years ago

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Passing through (-2,1 ) and perpendicular to<br> 4x + 7y + 3 = 0.

Lunna [17]

Answer:

<h2>7x - 4y + 18 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

========================================

Let

$k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2$

========================================

We have the equation of a line in a general form (Ax + By + C = 0)

Convert it to the slope-intercept form:

$4x+7y+3=0$ <em>subtract 7y from both sides</em>

$4x+3=-7y$ <em>divide both sides by (-7)</em>

$-\dfrac{4}{7}x-\dfrac{3}{7}=y\to m_1=-\dfrac{4}{7}$

Therefore

$m_2=-\dfrac{1}{-\frac{4}{7}}=\dfrac{7}{4}$

We have the equation:

$y=\dfrac{7}{4}x+b$

Put the coordinates of the point (-2, 1) to the equation, and solve for <em>b</em> :

$1=\dfrac{7}{4}(-2)+b$

$1=-\dfrac{7}{2}+b$ <em>multiply both sides by 2</em>

$2=-7+2b$ <em>add 7 to both sides</em>

$9=2b$ <em>divide both sides by 2</em>

[te]x\dfrac{9}{2}=b\to b=\dfrac{9}{2}[/tex]

Finally:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ - <em>slope-intercept form</em>

Convert to the general form:

$y=\dfrac{7}{4}x+\dfrac{9}{2}$ <em>multiply both sides by 4</em>

$4y=7x+18$ <em>subtract 4y from both sides</em>

$0=7x-4y+18$

6 0

2 years ago