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jarptica [38.1K]
3 years ago
10

A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whol

e batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0
681 tsp/48 tsp = 14.1875
If you round down, you get 14 servings.
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Find the difference between 760 and 188
topjm [15]

Answer:

572

Step-by-step explanation:

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7 0
3 years ago
I need step by step explanation for this!!
Margaret [11]
<h3>Answer:  The original number is 57</h3>

=========================================================

Explanation:

T = tens digit of original number

U = units digit of original number

"units digit" is the same as "ones digit"

The original number is in the form 10T+U. For example, let's say that T = 3 is the tens digit and U = 1 is the units digit. This means 10T+U = 10*3+1 = 31 is the original number. Though in this example, the digits don't add to 12.

To make the digits add to 12, we have the equation T+U = 12. This solves to U = 12-T which we'll use later.

--------------------

The digits are reversed to get the new number 10U+T and this is 15 times the original tens digit, so

new number = 15*(original tens digit)

10U+T = 15T

from here we plug in U = 12-T which we found earlier. This effectively eliminates or gets rid of the U variable to leave us with T only

10U+T = 15T

10(12-T)+T = 15T ..... replace U with 12-T

which we can now solve for T

--------------------

10(12-T)+T = 15T

120-10T+T = 15T

-9T+120 = 15T

120 = 15T+9T ... adding 9T to both sides

120 = 24T

24T = 120

T = 120/24 .... divide both sides by 24

T = 5

The original tens digit is T = 5

The original units digit is U = 12-T = 12-5 = 7

So the original number is 10T+U = 10*5+7 = 57

Flipping the digits gets us 75 which is 15 times that of the original tens digit of 5. The original number has its digits add to 5+7 = 12. The answer has been confirmed.

6 0
3 years ago
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Dmitriy789 [7]
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3 0
3 years ago
Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

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The parent function y = sin(x) has the following:

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From inspection of the given graph:

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\implies f(x) =1 \sin (6(x + 0)) + 3

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Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

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