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tatyana61 [14]
3 years ago
5

Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate

the capacity of milk in 1 bottle.
please show work.
Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

   find the capacity of the five bottles

∴ The capacity of the 5 bottles = 15.3 - 0.35

∴ The capacity of the 5 bottles = 14.95 liters

→ To find the capacity of each bottle divide the total capacity by 5

∴ The capacity in one bottle = 14.95 ÷ 5

∴ The capacity in one bottle = 2.99 liters

∴ The capacity of milk in 1 bottle is 2.99 liters

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Len [333]
31/50

31 ÷ 50 = 0.62

0.62 x 100 = 62%

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Hope this helps I didn't know if the 7k was apart of the problem or a typo

4 0
3 years ago
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The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find
Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, h=0,  k=35, x=8, y=21

We know that, the general equation of the parabola.

   y-k = a(x-h)^2

\Rightarrow y=a(x-h)^2+k  .........(i)

Substitute the  value of h, k, x, y in equation (i) and find the value of a.

  21=a(8-0)^2+35

\Rightarrow 21=a\times 8^2+35

\Rightarrow 21=64a+35

\Rightarrow 64a=21-35

\Rightarrow 64a=-14

\Rightarrow a=\frac{-14}{65}

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Hence, the equation of the parabola is:

y=-0.215x^2+35

8 0
3 years ago
If sales are $425,000, variable costs are 62% of sales, and operating income is $50,000, what is the contribution margin ratio?
Dmitry_Shevchenko [17]

In an internal operating income statement, the form is as such:

(1) Sales (or Revenue) - Total Variable Costs = Contribution Margin;

(2) Contribution Margin - Total Fixed Costs = Operating Income

and

(3) Contribution Margin Ratio = Contribution Margin/Sales

The first equation helps us out. Sales is the whole amount for this statement, or 100%. We know variable costs are 62% and the rest goes to the Cont. Margin.

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4 0
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3 years ago
Kelly runs a restaurant that sells two kinds of desserts. Kelly knows the restaurant must make at least 25 dozen and at most 45
MissTica

Answer:

  (c, m) = (45, 10)

Step-by-step explanation:

A dozen White Chocolate Blizzards generate more income and take less flour than a dozen Mint Breezes, so production of those should clearly be maximized. Making 45 dozen Blizzards does not use all the flour, so the remaining flour can be used to make Breezes.

Maximum Blizzards that can be made: 45 dz. Flour used: 45×5 oz = 225 oz.

The remaining flour is ...

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Kelly should make 45 dozen White Chocolate Blizzards and 10 dozen Mint Breezes: (c, m) = (45, 10).

__

In the attached graph, we have reversed the applicable inequalities so the feasible region shows up white, instead of shaded with 5 different colors. The objective function is the green line, shown at the point that maximizes income. (c, m) ⇔ (x, y)

8 0
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