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
Nutka1998 [239]
3 years ago
8

Randy has to raise $50.00 to repair his bicycle. He is only $1.00 short. He has only $1 and $5 bills. If he has one more $1 bill

s than $5 bills, how many does he have of each?
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Answer:

Randy has eight $5 bills and nine $1 bills

Step-by-step explanation:

Randy needs $50.00

And we know that he his only $1.00 short, so he has $49.00

let's define:

x = number of $1 bills that he has

y = number of $5 bills that he has.

then:

x*$1 + y*$5 = $49

We know that he has one more $1 bills than $5 bills.

we can write this as

x = y + 1

So we have a system of two equations and two variables:

x*$1 + y*$5 = $49

x = y + 1

First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:

x*$1 + y*$5 = $49

(y + 1)*$1 + y*$5 = $49

now we can solve this for y.

y*$1 + $1 + y*$5 = $49

y*($1 + $5) = $49 - $1 = $48

y*$6 = $48

y = $48/$6 = 8

He has 8 $5 bills

and we know that:

x = y + 1

x = 8 + 1 = 9

he has 9 $1 bills.

You might be interested in
a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel
emmasim [6.3K]

Answer:

\frac{5}{52}

Step-by-step explanation:

Coin toss:

Total\ outcome=\{H,T\}\\\\Favourable\ outcome=\{H\}\\\\P(Head)=\frac{Favourable\ outcome}{Number\ of\ total\ outcome}\\\\P(Head)=\frac{1}{2}

Letter Selection:

Number\ of\ total\ outcomes=26\ \ \ \ \ \ \ as\ total\ letters\ are\ 26\\\\Favourable\ outcomes=5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ as\ there\ are\ 5\ vowels\\\\P(vowel)=\frac{Favourable\ outcomes}{Number\ of\ total\ outcomes}\\\\P(vowel)=\frac{5}{26}

These\ two\ events\ are\ independent.\\\\Hence\ probability\ of\ head\ and\ then\ vowel=\frac{1}{2}\times \frac{5}{26}=\frac{5}{52}

4 0
3 years ago
A coin will be flipped three times. The result of each flip is either heads (H) or tails (T). The outcome HTH represents the fir
Yuki888 [10]
The answer is 4/7
Welcome x
3 0
3 years ago
Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)
alexandr402 [8]
8x-4 and 4(2x-1)




4(2x-1) the four needs to be distributed in the parentheses.

4*2x=8x
4*(-1)=(-4)

8x-4=8x-4
4 0
3 years ago
What is the change in elevation from -6 km to -14 km?
Feliz [49]

Answer:

-8 km

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which series of transformations will not change the coordinates of point N in triangle LMN?
Serga [27]

Answer:

what does that mean

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the slope of the line on the graph?<br> Enter your answer in the box.
    12·2 answers
  • Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)
    14·1 answer
  • Which of the following is a perfect square<br> A. 13<br> B. 100<br> C. 127<br> D. 102
    11·1 answer
  • What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to two decimal places if needed.
    7·1 answer
  • If, for each mouse, the probability of turning left is 0.5 and the probability of turning right is 0.5, what is the probability
    11·1 answer
  • What's equivalent to 2x+3x+8-3x-2? Options arte 2x+6, 2x+10, 5x-3x+6, 5x-3x+10 Select all that are equivalent.
    13·2 answers
  • Kyle wants to determine the surface area for a cube that is 5 cm on each side.
    9·2 answers
  • You select a marble from a jar. You know that
    11·1 answer
  • 5 times 2/3 is ? For Matthematics please and ty
    13·2 answers
  • Workbook
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!