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3 years ago

The length of a rectangle is 4 more than 3 times the width. If the perimeter is 104 meters, what is the width of the rectangle?

1 answer:

7 0

Lets x is width
length is 4 more than 3 times the width = 3x + 4

2x + 2(3x + 4) = 104
2x + 6x + 8 = 104
8x = 104 -8
8x = 96
x = 96/8
x = 12

answer: the width of the rectangle is 12 meters

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In a paint factory, an old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute.

vagabundo [1.1K]

It takes 10 minutes for the two lines to have filled an equal number of barrels

Each line will have filled 90 barrels

Solution:

Let "x" be the number of minutes

The old conveyer line has filled 20 barrels of paint, and is filling more at a rate of 7 barrels per minute

Thus, a equation is framed as follows:

Old conveyor: 20 + 7(number of minutes)

Old conveyor: 20 + 7x ------- eqn 1

A worker just switched on a newer line that can fill 9 barrels per minute

Thus, a equation is framed as follows:

New conveyor: 9(number of minutes)

New conveyor: 9x -------- eqn 2

In a little while, the two lines will have filled an equal number of barrels.

Thus, eqn 1 must be equal to eqn 2

$20 + 7x =9x\\\\9x - 7x = 20\\\\2x = 20\\\\x = 10$

Thus it takes 10 minutes for the two lines to have filled an equal number of barrels

How many barrels will each line have filled?

Substitute x = 10 in any one of equations

Substitute in eqn 2

9x = 9(10) = 90

Thus each line will have filled 90 barrels

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3 years ago

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Vadim26 [7]

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4 years ago

What is the domain and range of d(x)=|x|-4

ser-zykov [4K]

Answer:

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Range = { -4 , ∞} , { y|y≥-4}

Step-by-step explanation:

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3 years ago

What is the answer to this problem -2b+6=-2b-2b?

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6 = -2b (cancel -2b on both sides)

6/-2 = b (divide both sides by -2)

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3 years ago

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kap26 [50]

Answer:

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whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

Step-by-step explanation:

Given the following refrigerator characteristics :

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.

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3 years ago