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Phantasy [73]
3 years ago
7

In a paint factory, an old conveyer line has filled 10 barrels of paint, and is filling more at a rate of 3 barrels per minute.

A worker just switched on a newer line that can fill 4 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Mathematics
2 answers:
anastassius [24]3 years ago
7 0

Answer:

40 barrels

Step-by-step explanation:

4x = 4*10 = 40 barrels

10 + 3x = 10 + 3(10) = 40 barrels

Andrews [41]3 years ago
5 0

Answer:

40 barrels

Step-by-step explanation:

Given that:

Let x = number of minutes

Old conveyor line :

Filling rate = 3 barrels per minute

Already filled = 10 barrels

Equation :

10 + 3x - - - (1)

NEW conveyor line:

Filling rate = 4 barrels per minute

Equation :

4x - - - (2)

Equate equation (1) and (2)

10 + 3x = 4x

10 = 4x - 3x

10 = x

Hence, in 10 minutes, each line will have filmed same number of barrels which is

4x = 4*10 = 40 barrels

10 + 3x = 10 + 3(10) = 40 barrels

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Answer:

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WILL MARK BRAINLIEST IF CORRECT❤️❤️<br> Simplify the expression -5+i/2i<br> Step by step
zhenek [66]

Answer:

For complex numbers,

a + bi and a - bi

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and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2

But since i^2 = -1, we end up with a real number as a product.

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5 0
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3 years ago
Manuela is having mugs made for a fundraiser. The Cup Company will make them for $4 each plus a $30 set-up charge. Mugs Are Us w
amm1812

Answer:

The price will be the same for both companies at 60 mugs

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the rate of change
  • b is the fixed amount

Assume that the number of mugs is x and the total cost of them is $y

∵ The Cup Company will make them for $4 each plus a $30

   set-up charge

∴ The cost per mug = $4

∴ m = 4

∴ The fixed amount = $30

∴ b = 30

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4x + 30 ⇒ (1)

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∴ The cost per mug = $4.50

∴ m = 4.5

∴ The fixed amount = 0

∴ b = 0

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4.5x + 0

∴ y= 4.5x ⇒ (2)

∵ The price be the same for both companies

→ Equate the right sides of (1) and (2)

∴ 4.5x = 4x + 30

→ Subtract 4x from both sides

∵ 4.5x - 4x = 4x - 4x + 30

∴ 0.5x = 30

→ Divide both sides by 0.5

∴ x = 60

∴ The price will be the same for both companies at 60 mugs

4 0
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