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disa [49]
3 years ago
8

In my carpenter shop I make 3 legged stools and 4 legged chairs. I looked at my days output and counted 55 legs and 16 seats. Ho

w many stools and how many chairs did I complete that day.
Mathematics
1 answer:
Stells [14]3 years ago
7 0
x-number\ of\ stools\\y-number\ of\ chairs\\\\ \left \{ {{y+x=16} \atop {3x+4y=55}} \right. \\\\From\ first\ equation:\\\\y=16-x\\\\Substract\ to\ second\ equation:\\\\3x+4(16-x)=55\\3x+64-4x=55\\3x-4x=55-64\\-x=-9\\x=9\\\\y=16-9=7\\\\ \left \{ {{y=7} \atop {x=9}} \right.
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A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f
vredina [299]

Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

5 0
3 years ago
Gimme the answer because I have no idea how to do this it makes no sense to me
kati45 [8]

Answer:

C, D, B

Step-by-step explanation:

the mode is if a number is repeated more than one time

EX. 15, 23, 15, 23, 15

C because 15 is repeated 3 times and 19 is too.

D because 42 is repeated 2 times and so is 18.

B because 87 is repeated 2 times and 32 is too.

5 0
3 years ago
Mary did 20 jumping Jacks on Monday, 30 jumping Jacks on on Tuesday, and 20 jumping Jacks on Wednesday.
Andrews [41]
70 jumping jacks in total?
8 0
3 years ago
Read 2 more answers
50% of a number is x . What is 100% of the number? Assume x>0 .
Usimov [2.4K]
I guess 2x ,as 50+50=100
8 0
3 years ago
Read 2 more answers
State the horizontal asymptote of the rational function. <br><br> f(x) = 3x^2 -4x -3/ 2x^2 - 3x+2
irina1246 [14]

Answer:

Step-by-step explanation:

\displaystyle  \lim_{x \to \infty} \dfrac{3x^2-4x-3}{2x^2-3x+2} =\dfrac{3}{2} \\

Horizontal asymptote has for equation y=3/2

3 0
2 years ago
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