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DaniilM [7]
3 years ago
15

5[x-(4x-5)]=3-8x Solving for x

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0
5(x-4x+5)=3-8x
5x-20x+25=3-8x
-15x+25=3-8x
-7x+25=3
-7x=-22
x= 22/7

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What is the value of 3z when z = 1.2
yulyashka [42]

Answer:

3.6

Step-by-step explanation:

3z when z = 1.2

3(1.2)= 3 x 1.2

= 3.6

3 0
3 years ago
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An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d, is related to the time in seconds,
fredd [130]

Answer: If it is traveling at 0.15 miles per second, it's speed is 540 miles per hour.

Step-by-step explanation:

Use the unit multiplier 3600sec/hrtimes 0.15 mile/sec.

.0.15 × 3600 = 540. Sec cancels so we're left with a speed in miles per hour.

Hope this helps

4 0
3 years ago
6. It takes a delivery truck 2 hours to travel 70 km to deliver a new fridge. The truck drives part of
SOVA2 [1]

Answer:

40 km on the highway

30 km on the city roads

Step-by-step explanation:

Let x = highway

Let y = city road

The time formula: time = distance / speed.

1) Since we do not know the distance travelled on the highway and city roads but we do know the total time taken, we can say x + y = 70. Set the distances x and y and all equated to 2 hours, since we do not know them, nor do we know the time. This is called a system of equations.

x + y = 70

x/80 + y/20 = 2

2) Solve the system of equations using substitution.

x = 70 - y

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70 - y/80 + y/20 = 2

70 + 3y/80 = 2

y = 30

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x + 30 = 70

x = 70 - 30

x = 40

Therefore, the delivery truck travelled 40 km on the highway and 30 km on the city roads.

8 0
2 years ago
Neilsen Cookie Company sells its assorted butter cookies in containers that have a net content of 1 lb. The estimated demand for
vesna_86 [32]

Answer:

  37,528 containers of cookies

Step-by-step explanation:

a) <u>Cost Function</u>

For the fixed annual demand of 500,000 containers, the manufacturing cost of $0.53 each will total ...

  manufacturing cost = 500,000×$0.53 = $265,000 annually.

For a production batch size of x containers, those x containers will be put into storage, and withdrawn at the uniform rate of 500,000 containers per year. On average, (1/2)x containers will be in storage, so storage costs will be ...

  storage cost = (1/2)($0.36x) = $0.18x . . . . annually

For annual demand of 500,000 containers, and a production batch size of x, there will be 500,000/x production batches each year. The setup cost is $507 for each of those, so the annual setup cost is ...

  setup cost = (500,000/x)($507) = $253,500,000/x . . . . annually

The total cost of producing 500,000 containers annually will be ...

  C = setup cost + storage cost + manufacturing cost

  C(x) = 253,500,000/x + 0.18x + 265,000

__

b) <u>Minimal-Cost Batch Size</u>

Cost will be minimized when its derivative with respect to x is zero.

  dC/dx = -253,500,000/x^2 +0.18 = 0

  x^2 = 253,500,000/0.18 . . . . . . . solve for x^2

  x ≈ 37,527.8 ≈ 37,528 . . . . . . . . . take the square root

The size of the production run that will minimize production cost is 37,528 boxes.

_____

<em>Comment on the solution</em>

You may notice that the equation we finally solve for batch size is equivalent to one that sets setup cost equal to storage cost:

  253,500,000/x = 0.18x

This relation (setup cost = storage cost) is the general solution for this sort of problem regarding batch size.

8 0
3 years ago
PLEASE HELP. AND ACTUALLY TRY TO HELP DONT JUST STEAL POINTS. I will give brainliest btw but only if you help me.
Lunna [17]

Answer:

1260

Step-by-step explanation:

12/72 is 1/6 of the students going to the play

210 students go to play

210 times 6 is 1260

5 0
3 years ago
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