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Effectus [21]
3 years ago
6

For $146.50, a cosmetician buys 5 L of moisturizer and repackages it in 125-milliliter jars. Each jar costs the cosmetician $0.4

0. Each jar of moisturizer is sold for $7.95. Find the profit on the 5 L of moisturizer.
Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer:

The profit on 5 L moisturizer bottle is $797.25.

Step-by-step explanation:

The cost of 5 L of moisturizer bottle  = $146.50

The cost of each milliliter jar  = $0.40

Total number of small jars   = 125

⇒ The total Cost price of 125 jars  = 125 x Cost of each jar

                                                         = 125 x $0.40  = $50

So, the Total Cost Price = Cost of Big Bottle  +  Cost of small 125 bottles

                                        = $146.50 + $50  = $196.50

Now, Selling price of each jar = $7.95

⇒ The total Selling  price of 125 jars  = 125 x Selling price of each jar

                                                         = 125 x $7.95  = $993.75

Now Profit on 5 L bottle  =  TOTAL S.P - TOTAL C.P

=  $993.75  -  $196.50

= $797.25

Hence, the profit on 5 L moisturizer bottle is $797.25.

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Natalie's coach has a stopwatch that records times to the nearest thousandth of a second. Natalie ran a given distance in 25.453
sdas [7]

Answer:

25.5 seconds

Step-by-step explanation:

Given that the stopwatch records times to the nearest thousandth of a second, it means that the time recorded will be given at 3 decimal places.

To get the time in the nearest tenth of a second, we would first convert to the nearest hundredth of a second, at this, the reading  of  25.453 seconds will be

=  25.45 seconds

Since the number at the hundredth position is 5 (or more), we would add 1 to the number at the tenth position to round it to the nearest tenth. Hence the reading to the nearest tenth

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3 years ago
What are the roots of the equation x2 - 5x + 6 = 0?
Alenkasestr [34]

The answer is

B. -2 and 3

Step-by-step explanation :

Given the expression

x²- 5x + 6 = 0

Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

These numbers are 3 and 2

Substituting 2x +3x for 5x

x²- (2x+3x)+ 6 = 0

x²-2x-3x+6=0

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Factoring we have

x(x-2)-3(x-2)=0

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3 years ago
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Determine if the two figures are congruent and explain your answer using transformations.
IRISSAK [1]

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

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CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

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2 years ago
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Perimeter divided by base??
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