1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
1 year ago
15

A collection of stamps consists of 3c stamps 5c stamps and 7c stamps. There are 6 more 3c stamps than 5c stamps and two more 7c

stamps than 3c stamps. The total value of the stamps is $1.94. How many 3c stamps are in the collection?
Mathematics
1 answer:
Deffense [45]1 year ago
6 0

The number of 3¢ stamps that are in the collection is: 22.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:

<u>Note:</u> 100 cents (¢) is equal to 1 dollar ($).

A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194

6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6  ⇒ 5¢ = 3¢ - 6

Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2

Combining the above equations, we have:

3¢ + 3¢ - 6 + 3¢ + 2 = 194

9¢ = 198

¢ = 198/9

¢ = 22.

Read more on expressions here: brainly.com/question/17361494

#SPJ1

<u>Complete Question:</u>

A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?

You might be interested in
Find x<br><br>(a+3)² - 25 = 0​
DanielleElmas [232]
Take the square root of the entire thing for get rid of square, then solve for a

3 0
3 years ago
Read 2 more answers
Please help me I need this done not a lot of work but please get it done with good credit for a good reward and rating!
saw5 [17]

Answer:

what work

Step-by-step explanation:

7 0
3 years ago
What is the solution to this
sergeinik [125]

Answer:

D.) 8x^2+11x-9

Step-by-step explanation:

5x^2 -(-3x^2) =8x^2

7x -(-4x) =11x

-4 -5 =-9

Hope it helps

4 0
3 years ago
Lim (n/3n-1)^(n-1)<br> n<br> →<br> ∞
n200080 [17]

Looks like the given limit is

\displaystyle \lim_{n\to\infty} \left(\frac n{3n-1}\right)^{n-1}

With some simple algebra, we can rewrite

\dfrac n{3n-1} = \dfrac13 \cdot \dfrac n{n-9} = \dfrac13 \cdot \dfrac{(n-9)+9}{n-9} = \dfrac13 \cdot \left(1 + \dfrac9{n-9}\right)

then distribute the limit over the product,

\displaystyle \lim_{n\to\infty} \left(\frac n{3n-1}\right)^{n-1} = \lim_{n\to\infty}\left(\dfrac13\right)^{n-1} \cdot \lim_{n\to\infty}\left(1+\dfrac9{n-9}\right)^{n-1}

The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.

For the second limit, recall the definition of the constant, <em>e</em> :

\displaystyle e = \lim_{n\to\infty} \left(1+\frac1n\right)^n

To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that

\dfrac{9}{n-9} = \dfrac1m \implies 9m = n-9 \implies 9m+8 = n-1

From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as

\displaystyle\lim_{n\to\infty}\left(1+\dfrac9{n-9}\right)^{n-1} = \lim_{m\to\infty}\left(1+\dfrac1m\right)^{9m+8}

Now we apply some more properties of multiplication and limits:

\displaystyle \lim_{m\to\infty}\left(1+\dfrac1m\right)^{9m+8} = \lim_{m\to\infty}\left(1+\dfrac1m\right)^{9m} \cdot \lim_{m\to\infty}\left(1+\dfrac1m\right)^8 \\\\ = \lim_{m\to\infty}\left(\left(1+\dfrac1m\right)^m\right)^9 \cdot \left(\lim_{m\to\infty}\left(1+\dfrac1m\right)\right)^8 \\\\ = \left(\lim_{m\to\infty}\left(1+\dfrac1m\right)^m\right)^9 \cdot \left(\lim_{m\to\infty}\left(1+\dfrac1m\right)\right)^8 \\\\ = e^9 \cdot 1^8 = e^9

So, the overall limit is indeed 0:

\displaystyle \lim_{n\to\infty} \left(\frac n{3n-1}\right)^{n-1} = \underbrace{\lim_{n\to\infty}\left(\dfrac13\right)^{n-1}}_0 \cdot \underbrace{\lim_{n\to\infty}\left(1+\dfrac9{n-9}\right)^{n-1}}_{e^9} = \boxed{0}

7 0
3 years ago
A weather balloon is descending from the atmosphere. Its altitude changes by
OlgaM077 [116]

The change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.

Given that a weather balloon is descending from the atmosphere, and its altitude changes by -6 meters every second, to determine what is the change in altitude after 135 seconds the following calculation must be performed:

  • Amount of time x change per second = total change
  • 135 x (-6) = X
  • -810 = X

Thus, the change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.

Learn more in brainly.com/question/24654925

3 0
3 years ago
Other questions:
  • Write 5X5X5X5 using exponents
    15·2 answers
  • Joe and Kim washed 27 cars in 6 hours. The next day, they had more help and washed twice as many cars in the same amount of time
    5·1 answer
  • A large university accepts 70​% of the students who apply. Of the students the university​ accepts, 45​% actually enroll. If 30
    14·1 answer
  • If angle 1 and 2 are linear. If m&lt;1=x-9 and m&lt;2=x+47. What’s the measure of wach angle
    5·1 answer
  • 9. The front part of a tent is 8 feet long and 5 feet tall. What is the area of the front part of the tent?
    6·1 answer
  • In the above figure, m&amp;angle;P = 125° and m&amp;angle;Q = 5x. If angles P and Q are supplementary angles.
    7·1 answer
  • Classify these similar triangles as an example of AA similarity, SSS similarity, or SAS similarity.
    5·1 answer
  • The scatter plot shows the average starting salaries for graduates of 8 universities along with the annual tuition costs for tho
    15·1 answer
  • Eric bought a canoe for $400. The sales tax was 5.2%. What was his total cost?
    13·2 answers
  • What is the circumference of the circle?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!