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Triss [41]
3 years ago
5

Out of $20$ creepy-crawly creatures in a room, $80\%$ are flies and $20\%$ are spiders. If $S\%$ of the total legs belong to spi

ders, what is $S$?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0

Answer: 25

Step-by-step explanation:

Since, Total creepy-crawly creatures = 20

Out of which 80% are flies and 20% are spiders,

Thus, the total flies = 80% of 20 = 16

And, The total spiders = 20% of 20 = 4

Also, we know that the number of legs of a spider = 8,

⇒ Total legs belong to spiders out of 20 creepy-crawly creatures = 4×8 = 32

Again, the number of legs of a fly = 6

Thus, the total legs belong to flies out of 20 creepy-crawly creatures = 6×16 = 96

Hence, Total legs = 32 + 96 = 128

\text{ The percentage of legs that belongs to spider} = \frac{ \text{ Number of legs of 8 spiders}}{\text{ Total legs}}\times 100

= \frac{32}{128} \times 100

= \frac{3200}{28}

= 25\%

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Determine the value(s) of k such that the system of linear equations has the indicated number of solutions. (Enter your answers
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Answer:

k=3

Step-by-step explanation:

The given system of equations are

9x+ky=24

kx+y=8

We need to find the value of k if the given system of equation have infinite number of solutions.

If two equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinite number of solutions, then

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

Using this we get

\dfrac{9}{k}=\dfrac{k}{1}=\dfrac{-24}{-8}

\dfrac{9}{k}=\dfrac{k}{1}=3

\dfrac{k}{1}=3

k=3

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3 years ago
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miss Akunina [59]
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3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t
faltersainse [42]

Answer:

one large box equals 15.75<em>kg</em>

one small box equals 13.75<em>kg</em>

Step-by-step explanation:

First, identify your variables:

Let "l" represent the weight of one large box.

Let"s" represent the weight of one small box.

Then, stack the two equations on top of each other:

5l+3s=120\\7l+9s=234

Next, multiply the first equation by 3 so we can use elimination of the "s" variable to find the "l" variable first:

3(5l+3s=120)\\7l+9s=234\\\\15l+9s=360\\7l+9s=234

Now, subtract the two equations to cancel out the s-variable and find the l-variable:

15l+9s=360\\-(7l+9s=234)\\8l=126\\\frac{8l}{8}=\frac{126}{8}\\l=15.75

Then, substitute your l-variable in the original first equation to find the s-variable:

5l+3s=120\\5(15.75)+3s=120\\78.75+3s=120\\78.85-78.75+3s=120-78.75\\3s=41.25\\\frac{3s}{3}=\frac{41.25}{3}\\s=13.75

With all the information that is collected, you find that one large box weighs 15.75<em>kg</em> and one small box weighs 13.75<em>kg</em>.

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3 years ago
Find the number if the sum of 9 and a half equals 35
garri49 [273]
9 + 0.5n = 35
0.5n = 35 - 9
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4 0
4 years ago
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(-4,-1), (8,-4) in point slope-intercept form. PLEASE HELP ME ITS DUE TODAY
bagirrra123 [75]

Answer:

-1 + 4 = -0.25(-4-8)

Step-by-step explanation:

Step 1: graph your points

Step 2: draw a line thru the points

Step 3 find the slope: -0.25 or -1/4

SLOPE POINT FORM:

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-1 + 4 = -0.25(-4-8)

Hope that helps

4 0
3 years ago
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