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Mama L [17]
3 years ago
6

Ian bought a package of gummy bears that contains 4 cups. If he eats 2/3 (fraction) cup every day, how many days of candy does h

e have?

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer: 6 days.

Step-by-step explanation:

Keep subtracting 2/3 from 4 until you have no gummy bears left. You woukd have to subtract 6 times to get to 0, so it would have to take 6 days.

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Anne has three more dollars than Freddy. Together they have $99. How many dollars does each have?
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Suppose it is known that for a given differentiable function y=f(x), its tangent line (local linearization) at the point where a
AleksandrR [38]

Answer:

y(-4) = 5

y'(-4) = -7

Step-by-step explanation:

Hi!

Since the tangent line T and the curve y must coincide at x=-4

y(-4) = T(-4) = 5

On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7

That is:

y'(-4) = -7

6 0
3 years ago
Katrina goes to Road Runner after school and purchases a soda for 1.50, chips for 3.50 and a candy bat for 0.50 An additional 8%
Nutka1998 [239]

<u>Answer:</u>

Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.

<u> Solution:</u>

Given that Katrina goes to road runner after school and purchase following three products

A soda for 1.50  

Chips for 3.50

Candy for 0.50

Also she pays 8% sales tax.

Need to determine amount paid in sales tax and total amount paid by Katrina.

lets first calculate amount she paid without taxes.  

Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50

As she paid 8% sale tax , that is 8 % of 5.50

so sale tax paid = \frac{8}{100} \times 5.50 = 0.44

<em>Total amount paid = Total amount paid without taxes + tax paid </em>

= 5.50 + 0.44 = 5.94

Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.  

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b = Rachel to Maddie distance
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Solving the angles we need to use Law of Cosines:
cos A = 2.5² + 4² -3² /2*2.5*4
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cos B=3² + 4² - 2.5² / 2*3*4
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C=180 - 48.59° - 38.625°
C= 92.79°

The three angles are 48.59°,38.63° and 92.79°. 
8 0
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