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ArbitrLikvidat [17]
4 years ago
10

A postal clerk sold 50 postage stamps for $16.05. Some were 39-cent stamps and the rest were 24-cent stamps. How many 39-cent st

amps were sold?
Mathematics
1 answer:
svetoff [14.1K]4 years ago
7 0
39x + 24(50 - x) = 1,605 
<span>13x + 8(50 - x) = 535 </span>
<span>13x + 400 - 8x = 535 </span>
<span>5x = 135 </span>
<span>x = 27 </span>

<span>Answer: 27 of 39-cent stamps were sold</span>
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State the domain of the relation.
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Answer:

The Domain of the relationship is the set: {-3, -2, -1, 0, 1, 2} (Answer B)

Step-by-step explanation:

Let's recall that the Domain of a relationship is the set of values in the starting set for which there is a correspondent value in the final set.

In this case, we have a set of numbers on the x axis, which are connected with values in the y axis as indicated by the plotting of the points on the (x,y) plane.

The Domain will consist of all those x-values for which we see in the given plot connected to a corresponding y-value.

So, we see that:

the x-value -3 is connected to the y-value -4

the x-value -2 is connected to the y-value -3

the x-value -1 is connected to the y-value -1

the x-value 0 is connected to the y-value 0

the x-value 1 is connected to the y-value 3

and the x-value 2 is connected to two y-values:  4 and 5

Therefore all those x-values are part of the Domain of this relationship. That is, the set: {-3, -2, -1, 0, 1, 2}

7 0
3 years ago
A square prism has square sides with area ++x squared , plus 8 x plus 16 and rectangular sides with area ++2 , x squared , plus
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Answer:

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Sketch the image of quadrilateral PQRS under the following dilations:
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Step-by-step explanation:

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68. Traveling to work How long do people travel each day to get to work ? The following table gives the average travel times to
vitfil [10]

A histogram is an image of data that resembles a bar graph and groups several categories into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis. To see how data distribution patterns look, utilize columns.

(a) Use classes with a 2 minute width and a 14 minute starting point to create a histogram of the journey times. Thus, the first lesson lasts between 14 and 16 minutes.

Describe the distribution's shape. What is the average journey time interval?

If a histogram has a bell shape, its center and spread can be used to parsimoniously characterize it. The axis of symmetry is located at the middle. The spread is the separation between the center and a particular point of inflection. The inflection points of the bell-shaped histogram are indicated here.

To learn more about  Histogram refer to:

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5 0
1 year ago
Find the indicated limit, if it exists.
kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Right-Side Limit:                                                                                             \displaystyle  \lim_{x \to c^+} f(x)
  • Left-Side Limit:                                                                                               \displaystyle  \lim_{x \to c^-} f(x)

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

Limit Property [Addition/Subtraction]:                                                                   \displaystyle \lim_{x \to c} [f(x) \pm g(x)] =  \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}

<u>Step 2: Find Right-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^+} 5 - x
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} 5 - x = 5 - 5 = 0

<u>Step 3: Find Left-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^-} x + 3
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} x + 3 = 5 + 3 = 8

∴ Since  \displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)  , then  \displaystyle \lim_{x \to 5} f(x) = DNE

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

Unit:  Limits

5 0
3 years ago
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