Two welders working together can complete a job in 6 h. One of the welders, working alone, can complete the task in 15 h. How long would it take the second welder, working alone, to complete the task?

Answers

Answer 1
Answer: ur asking a bunch of these kind of rate problems xD
6 ( (1)/(15) + (1)/(x) )=1
In 6 hrs, the welder who does 1/15 of the job in 1 hr and the welder who does 1/x in 1 hr, complete the job (6 hrs.)
(1)/(15) + (1)/(x) =  (1)/(6)
Multiply 30 on both sides to cancel out the fractions and we get:
2 + (30)/(x) =5
Solving for x:
30/x=3
3x=30
x=10
The second welder would take 10 hours.


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Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <7, 2>, v = <21, 6>

Answers

Vectors are orthogonal if their dot product is equal to zero:
u · v = 7· 21 + 2 · 6 = 147 + 12 = 159 ≠ 0
Vectors are parallel if the angle between them is 0°, or cos ( u, v ) = 1
cos  ( u, v ) = ( u · v ) / ( | u | · | v | ) =
= 159 / (√(7² + 2²) · √(21² + 6²) ) =
= 159 / ( √ (49 + 4 ) · √ ( 441 + 36 ) ) = 
= 159 / (√53 · √477 ) = 159 / 159 = 1
Answer : The vectors u and v are parallel. 

Answer:

Parallel

Step-by-step explanation:

orthogonal: dot product of u times v= 0 degrees

utimesv= 7x21+2x6=147+12=159

Parallel: cos (u,v)=1

cos (u,v)=(u·v)/ IuI·IvI

cos (u,v)= 159/ (sqrt 7^2+2^2)·(sqrt 21^2 +6^2)

159/(sqrt 49+4) ·(sqrt 441+36)

159/(sqrt 53)·(sqrt 477)=

159/159

=1; therefore it is parallel

Solve 3x2 + x + 10 = 0. Round solutions to the nearest hundredth.

Answers

3 x^(2) + x + 10 = 0
x = \frac{-b(+or-) \sqrt{ b^(2) - 4ac } }{2a}
x = \frac{-1(+or-) \sqrt{ 1^(2) - 4(3)(10) } }{2(3)}
: . x =  \frac{-1 +  \sqrt{-119} }{6}   OR   x = (-1 - √(-119) )/(6)

Thus the roots or the solutions to this equation are imaginary because the discriminant √(-119) is negative and a negative number is undefined when rooted. 

I need full solution

Answers

Answer:

11= EC

Step-by-step explanation:

EC = 10 + 2 x + 19

= x + 20

So 2 x + 29 - x - 20 = 0

so x + 9 = 0

x = -9.

EC = x + 20 = -9+20 = 11.

Answer:

EC = 11 units

Step-by-step explanation:

  • first we find the value of x

10 + 2x + 19 = x + 20

2x - x = 20 - 10 - 19

x = -9

--------------------------------

check

10 + 2(-9) + 19 = -9 + 20

10 - 18 + 19 = -9 + 20

11 = 11

same value the answer is good

  • Now we find EC

EC = 10 + 2x + 19

EC = 10 + 2(-9) + 19             (remember PEMDAS)

EC = 10 - 18 + 19

EC = 11 units

Escribe con letra 0.00125

Answers

Answer:

zero point zero zero one two five

Step-by-step explanation:

F(x)=6x+8 what is f(3)?

Answers

Answer:

26

Step-by-step explanation:

6(3) =18 18+8=26

F(x)=6x+8
F(3)=6(3)+8
F(3)=18+8
F(3)=26

Devon is trying to find the unit price on a 6-pack of energy drinks on sale for $2.99. His sister says that at that price,
each energy drink would cost just over $2.00
. Is she correct and how do you know? If she is not, how would
Devon’s sister find the correct price?

Answers

No, she's not. If each energy drink's unit cost was just over $2.00, and there are 6 drinks in a pack, then that's at least $12.00 right there, but the entire 6-pack is on sale for only $2.99. She should find the correct price by dividing $2.99/6, resulting in about $0.50 per drink