1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hunter-Best [27]
3 years ago
14

%21%5C%5C%5C%5C1...%5C%3B6%28y%20%2B%207%29%20%3D%202%28y%20-%203%29%5C%5C2...%5C%3B3x%20%2B%202%28x%20-%205%29%20%3D25%5C%5C3...%5C%3B10q%20%2B%203q%20%2B%205%20%3D%202%28q%20-%203%29%5C%5C4...%5C%3B1%2F3%28x%20%2B%206%29%20%3D%202%2F3%28x%20-%209%29%5C%5C%5C%5C" id="TexFormula1" title="Simplify\;each\;of\;the\;following\;equations\;for\;50\;points!\\\\1...\;6(y + 7) = 2(y - 3)\\2...\;3x + 2(x - 5) =25\\3...\;10q + 3q + 5 = 2(q - 3)\\4...\;1/3(x + 6) = 2/3(x - 9)\\\\" alt="Simplify\;each\;of\;the\;following\;equations\;for\;50\;points!\\\\1...\;6(y + 7) = 2(y - 3)\\2...\;3x + 2(x - 5) =25\\3...\;10q + 3q + 5 = 2(q - 3)\\4...\;1/3(x + 6) = 2/3(x - 9)\\\\" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
aev [14]3 years ago
6 0

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

1)

6(y+7)=2(y-3)\\6y+42=2y-6\\4y+42=-6\\4y=-48\\y=-12

2)

3x+2(x-5)=25\\3x+2x-10=25\\5x-10=25\\5x=35\\x=7

3)

10q+3q+5=2(q-3)\\13q+5=2q-6\\11q+5=-6\\11q=-11\\q=-1

4)

\frac{1}{3} (x+6)=\frac{2}{3} (x-9)\\\frac{1}{3} x+2=\frac{2}{3} x-6\\2=\frac{1}{3}x -6\\8=\frac{1}{3} x\\x=24

jekas [21]3 years ago
3 0

Answer:

  1. y= -12
  2. x = 7
  3. q = -1
  4. x = 24

Step-by-step explanation:

1. ..............................................

  • 6(y + 7) = 2(y - 3)
  • 6y + 42 = 2y - 6
  • 6y - 2y = -6 - 42
  • 4y = -48
  • y = -12

2...............................................

  • 3x + 2(x - 5) = 25
  • 3x + 2x - 10 = 25
  • 5x = 25 + 10
  • 5x = 35
  • x = 7

3 . ..............................................

  • 10q + 3q + 5 = 2(q - 3)
  • 13q + 5 = 2q - 6
  • 13q - 2q = -6 - 5
  • 11q = -11
  • q = -1

4. ..............................................

  • 1/3(x + 6) = 2/3(x - 9)
  • 3*1/3(x+6) = 3*2/3(x - 9)
  • x + 6 = 2(x - 9)
  • x + 6 = 2x - 18
  • 2x - x = 6 + 18
  • x = 24
You might be interested in
In a game, 2 players each flip a coin. If both land on heads, player A gets 2 points and player B loses 1 point. If both land on
almond37 [142]
I think is A that what i think ;:;::::)(/(?;.)(;:
8 0
3 years ago
3, 9,15,... 41th term
Dmitrij [34]

Answer:

222

Step-by-step explanation:

4 0
2 years ago
A uniform bar of mass $m$ and length $l$ is suspended on a frictionless hinge. A horizontally launched blob of clay of mass $m$
Irina-Kira [14]

Answer:

conservation of angular momentum ; conservation of energy

Step-by-step explanation:

The complete Question is given as follows:

" A uniform bar of mass (m) and length (L) is suspended on a frictionless hinge. A horizontally launched blob of clay of mass (m) strikes the bottom end of the bar and sticks to it. After that, the bar swings upward. What is the minimum initial speed (v) of the blob of clay that would enable the rod to swing a full circle? Which concepts/laws would be most helpful in solving this problem? Select the best answer from the options below.  "

CHOICES

kinematics of rotational motion; conservation of energy

conservation of momentum ; conservation of energy

conservation of angular momentum ; conservation of momentum

conservation of angular momentum ; conservation of energy

conservation of energy ; Newton's laws

Newton's laws ; conservation of angular momentum

conservation of angular momentum ; kinematics of rotational motion

Newton's laws, kinematics of rotational motion

Solution:

- We will apply the conservation of angular momentum M. Note the linear momentum does not remains conserved as the rod stores some energy as the clay sticks to the rod:

                                       M_i = M_f

- Initially the rod was at rest and clay had velocity of v, then M_i can be written as:

                                       M_i = m*v*L

- The final momentum is the combined effect of clay and rod:

                                       M_f = ( m*L^2 + I_rod )*w

- Where w is the angular speed of the rod after impact. And I_rod is the moment of inertia of rod.

                                      I_rod = mL^2 / 3

                                      M_f = ( m*L^2 + m*L^2 /3 )*w = (4*m*L^2 / 3)*w

- Formulate w in terms of initial velocity v:

                                     m*v*L = (4*m*L^2 / 3)*w

                                      0.75*v / L = w

- The minimum amount of velocity required would be enough to complete half of a circle.

- Apply conservation of Energy principle:

                                     T_i + V_i = T_f + V_f

Where, T is the kinetic energy soon after impact and at top most position.

            Assuming, T_f = 0 , for minimum velocity required to complete on circle.

             T_i = 0.5*I_combined*w^2

Where, I_combined = I_clay + I_rod = 4*m*L^2 / 3

And w = 0.75*v / L:

             T_i = 0.5*[4*m*L^2 / 3]*[0.75*v / L]^2

             T_i = 0.5*[m]*[v^2]

Also, V is the potential energy of the clay plus rod system soon after impact and at top most point.

             V_i = 0 ( Datum )

             V_f = V_rod + V_clay

             V_f = m*g*L + m*g*2L = 3*m*g*L

- Plug in the expressions in the energy balance and we get:

                              0.5*[m]*[v^2] + 0 = 0 + 3*m*g*L

                                      v_min = sqrt ( 6*g*L)

- So the choices used were:

conservation of angular momentum ; conservation of energy

                 

             

6 0
3 years ago
At Store #1 for $625 you can buy 25 pairs of shoes. How much will you pay for 31 pairs of shoes?
PIT_PIT [208]
You’ll pay $775 since 25 pairs were $625
6 0
3 years ago
Read 2 more answers
Find a solution to the following system of equations.<br> -2x + y = -3<br> -x + 2y = 3
GalinKa [24]

Answer:

Step-by-step explanation: 3+2=5

5

5 0
3 years ago
Read 2 more answers
Other questions:
  • What the ratio of 7:3
    12·1 answer
  • (n+1)^3-n^3=1+3 (n+1)n using this formulae find the cube of 999.If cube of 1000 is 1000000000.
    11·1 answer
  • 1) 5(h + 9) = 55 Distribute _____ to everything in parentheses.
    14·1 answer
  • I need help with like terms
    5·1 answer
  • 9/16 = x/12<br>x-3/18 = 12/9<br>7/11 = 18/x+1<br>3x-4/14 = 9/10<br>Simplify​
    10·1 answer
  • Ice Cream: A certain ice cream parlor offers 15 flavors of ice cream. you want an ice cream cone with three scoops of ice cream,
    12·1 answer
  • Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12​ pounds, and is spread evenly o
    13·2 answers
  • 1) In the diagram, l || m. If the measure of angle 3 is 120 find the measure of the following angles
    11·1 answer
  • Is this triangle equilateral? yes​
    6·2 answers
  • A coin is tossed and a die is rolled simultaneously. What is the probability of getting a head and a number less than 3?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!