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
Pani-rosa [81]
3 years ago
11

wyatt has (2x-1) one-dollar bills and (4x + 2) five dollar bills. Susan has 3 x dollars more than Wyatt. Find the total amount o

f money that Wyatt has in terms of x. Find the number of pens that Wyatt can buy if each pen costs 50 cents. If x = 21, find how much oney Susan will have now if Wyatt gives her had the number of five dollar bills that he has.
Mathematics
2 answers:
Len [333]3 years ago
8 0

Answer:

  • Wyatt has 22x + 9 dollars
  • Wyatt can buy 44x + 18 pens
  • Susan has 901 dollars

Step-by-step explanation:

<em>Topic: Algebra</em>

Given:

<u>Wyatt</u>

<em>: 1 dollar bills; 2x - 1</em>

<em>: 5 dollar bills; 4x + 2</em>

Susan has 3x dollars more than Wyatt

  • Find the total amount of money that Wyatt has in terms of x.

This is done by multiplying the dollar bill by the respective amount

Amount = (2x - 1) * 1 dollar bills + (4x + 2) * 5 dollar bills

Amount = 2x - 1 + 20x + 10 --- Collect like terms

Amount = 2x + 20x - 1 + 10

Amount = 22x + 9 dollars

Wyatt has 22x + 9 dollars

  • Find the number of pens that Wyatt can buy if each pen costs 50 cents.

Given that 1 dollar = 100 cents

And each pen costs 50 cents.

First, we convert the amount Wyatt has to cent.

22x + 9 dollars = (22x + 9) * 100 cents

22x + 9 dollars = 2200x + 900 cents

If 50 cents can buy a pen,

Then 2200x + 900 cents can buy \frac{2200x + 900}{50}

= \frac{2200x}{50} + \frac{900}{50} pens

= 44x + 18 pens

  • If x = 21, find how much money Susan will have now if Wyatt gives her had the number of five dollar bills that he has.

If Wyatt has a total of 22x + 9 dollars

Susan has 3x + 22x + 9 = 25x + 9 dollars

Number of 5 dollar bills wit Wyatt = <em>5 * (4x + 2)</em>

So, Susan has a total of <em>22x + 9 + 5 (4x + 2)</em>

Total = 22x + 9 + 20x + 10

Total = 42x + 19

if x = 21

Then,

Total = 42(21) + 19

Total =882+19

Total = 901 dollars

uysha [10]3 years ago
5 0

Answer:

a) $ 22x -9

b) 44x - 18

c) $319

Step-by-step explanation:

Given that,

number of $1 bills wyatt has = (2x-1)

number of $5 bills wyatt has = (4x + 2)

The total amount of money that Wyatt has in terms of x

(2x - 1) + 5(4x + 2)

= 2x - 1 + 20x + 10

= $ 22x -9

The number of pens that Wyatt can buy if each pen costs 50 cents

$(22x - 9) * 100

= 2200x - 900 cents / 50

= 44x - 18

If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has

( 5 (4x + 2) / 2) + ( 2 (21) - 1)

= 215 + 41

= 256

As we know that Susan has $3x more than Wyatt

So,

256 + 3x

= 256 + 3(21)

= $319

You might be interested in
cody and his friends started playing a game at 6:30 p.m. it took them 37 minutes to finish the game at what time did they finish
Lelechka [254]
The answer is 7:17 because when you add them together it equals 7:17.
7 0
3 years ago
Read 2 more answers
Factorise by grouping: x² - 5x + 2x - 10
IrinaK [193]

Answer:

(x + 2)(x - 5)

Step-by-step explanation:

Here are the steps:

x^2-5x+2x-10\\(x^2-5x)+(2x-10)\\x(x-5) + 2(x-5)\\(x + 2)(x-5)

4 0
3 years ago
A school has 764 students. Of the students, 118 are in third grade. Which equation can be used to find s, the total number of st
aleksklad [387]

Answer:

118+s=764

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Solve the equation <br><br> 3x-5&lt; 8x-1/2<br><br> x+7≤ 4x+1
vladimir1956 [14]
This is all I got. Hope this helps:

6 0
1 year ago
Read 2 more answers
What is the name of the slope y= 5/2 x - 4
77julia77 [94]

Answer:

5/2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the standard form polynomial representing the volume of this shipping container?
    9·1 answer
  • Find the absolute value of 1 and - 1
    15·2 answers
  • What number do you multiply 5/3 by to get the product of 1
    10·1 answer
  • explain how you would find how many 1 1/2 cups servings there are in the pot that cantains 22 1/2 cups of soup
    5·1 answer
  • Someone please help me with this
    9·1 answer
  • (08.01 LC)
    10·1 answer
  • You estimate that a jar contains 98 marbles. The actual number of marbles is 90. Find a percent of error.
    8·1 answer
  • What is the value of p in the equation <img src="https://tex.z-dn.net/?f=.34p%2B.49f%3D5" id="TexFormula1" title=".34p+.49f=5" a
    12·1 answer
  • Which expressions are solutions to the equation 3/4x=15
    13·2 answers
  • What is the simplified form of (-3xy)(5xy-1)?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!