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docker41 [41]
3 years ago
8

27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.

Mathematics
2 answers:
puteri [66]3 years ago
8 0
The ratio 4:5> 4x+ 5x=35> 9x=35> x=3.8 and then you do (3.8)3.8=14.7. Therefore there is not a correct answer.
polet [3.4K]3 years ago
7 0

Answer:

x= 16 ft.

Step-by-step explanation:

Let 'x' and 'y' are the lengths of the two pieces then:

1.) x + y = 36

2.) x : y = 4 : 5 cross multiply

3.) 5x = 4y

by solving the system of equations

x + y = 36

5x = 4y

we find

x = 16 ft

y = 20 ft

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So the neat number is all the numbers added together I'm pretty sure or it's either all the numbers added together times the amount of numbers
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7 0
3 years ago
The absolute value of a number is
makvit [3.9K]

Answer: the magnitude of a real number without regard to its sign.

Step-by-step explanation:

Meaning whether it is 5 or -5 the absolute value is 5 for both because that is their distance from zero.

7 0
3 years ago
Read 2 more answers
given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0
jonny [76]
\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx
\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx
\implies \dfrac12y^2=x^3+2x^2+C

When x=1 you have y=\sqrt{10}, so

\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2

and so the particular solution to the ODE is

\dfrac12y^2=x^3+2x^2+2

Then when x=0, you get

\dfrac12y^2=0^3+2(0)^2+2=2
\implies y^2=4
\implies y=2

where we omitted the negative root because it's given that y>0.
4 0
3 years ago
If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive
yaroslaw [1]
Each heir would receive $20727.27 
8 0
3 years ago
When truckers are on long-haul drives, their driving logs must reflect their average speed. Average speed is the total distance
KengaRu [80]

Answer:

0.500 hour

Step-by-step explanation:

Givens

<em><u>Distance</u></em>

  • Total Distance on the highway = 3hr * 60 miles / hr = 180 miles
  • Distance in the city = 20 miles
  • Total Distance = 180 + 20 = 200 miles

<em><u>Time</u></em>

  • Time on the highway = 3 hours
  • Time in the city = x

Formula

d /t = r

Solution

  • Average rate = 57.14
  • Total Distance / Total Time = average rate
  • 200 / (3 + x) = 57.14                               Multiply both sides by 3 + x
  • 200 = 57.14 * (3 + x)                               Remove the brackets
  • 200 = 57.14*3 + 57.14x                           Multiply the factors on the right
  • 200 = 171.42 + 57.14x                              Subtract 171.42 from both sides.
  • 200 - 171.42 = 171.42 - 171.42 + 57.14x   So the subtraction
  • 28.58 = 57.14x                                         Divide by 57.14
  • 28.57/57.14 = x
  • x = 0.500 hour                                        Answer


3 0
3 years ago
Read 2 more answers
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