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Marat540 [252]
3 years ago
7

Devon is trying to find the unit price on a 6-pack of drinks on sale for 2.99$. His sister says that at that price, each drink w

ould cost just over 2.00$. Is she correct? and how do you know? If she is not, how would Devon's sister find the correct price?
Mathematics
2 answers:
Pie3 years ago
7 0

Answer:

Devon's sister is not correct.

Cost of each drink: $0.50.

Step-by-step explanation:

We have been that Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99.

His sister says that at that price, each drink would cost just over $2.00.

Since each pack consists 6 drinks, so cost of each drink would be $2.99 divided by 6, therefore, Devon's sister is not correct.

\text{Unit price}=\frac{\$2.99}{6\text{ drinks}}

\text{Unit price}=\frac{\$0.4983}{\text{ drink}}

\text{Unit price}\approx \frac{\$0.50}{\text{ drink}}

Therefore, the cost of each drink would be $0.50.

Andrew [12]3 years ago
6 0

She is not correct, because $3.00 divided by 6 is 50 cents, so by using that equation she could evaluate that she is wrong and find the correct answer.

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Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64

Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well

Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.

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Answer: 
This figure is a rhombus
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6 0
3 years ago
Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?
stepladder [879]

Answer:

\displaystyle 64

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Rule [Variable Direct Substitution Exponential]:                                         \displaystyle \lim_{x \to c} x^n = c^n

Limit Property [Multiplied Constant]:                                                                     \displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle  \lim_{x \to 0} f(x) = 4

<u>Step 2: Solve</u>

  1. Rewrite [Limit Property - Multiplied Constant]:                                           \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4
  2. Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:       \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)
  3. Simplify:                                                                                                         \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

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Please help anything is appreciated I will give you Brinley if it’s right
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I wish you good lessons

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