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 bills than $5 bills, how many does he have of each?

Answers

Answer 1

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.


Related Questions

[tex]\boxed{\text{Solve for 'x'.}}\\\\\frac{x+3}{6}=\frac{2}{3}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\\frac{x+3}{6}=\frac{2}{3}\\\----------\\\rightarrow (\frac{x+3}{6})6=(\frac{2}{3})6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 1

Step-by-step explanation:

( x + 3 ) / 6 = 2 / 3

Step 1 Cross multiply

( x + 3 ) * 3 = 3x + 9

2 * 6 = 12

We now have 3x + 9 = 12

Step 2 Subtract 9 from both sides

3x + 9 - 9 = 12 - 9

9 - 9 cancels out

12 - 9 = 3

We now have 3x = 3

Final step; divide both sides by 3

3x/3 = x

3/3 = 1

We're left with x = 1

To check our answer we can plug in 1 for x in the expression

( x + 3 ) / 6 = 2 / 3

Substitute 1 for x

1 + 3 / 6 = 2 / 3

Simplify addition

4/6 = 2/3

Simplify fraction

2/3 = 2/3 ✓

Reflect shape A in the line y = 3

Answers

Answer:

Step-by-step explanation:

just draw the triangle but flipped over the red line

sorry for the bad drawing

The vertices of triangle A' after reflection on line y=3 are (1, 5), (4, 5) and (4, 3).

What is the reflection on x-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

In the given graph, vertices of triangle A are (1, 1), (4, 1) and (4, 3).

After reflection on line y=3, we get

Vertices as (1, 5), (4, 5) and (4, 3)

Therefore, the vertices of triangle A' after reflection on line y=3 are (1, 5), (4, 5) and (4, 3).

To learn more about the reflection over x-axis visit:

https://brainly.com/question/15175017.

#SPJ2

There were 5 seats on the bus. In how many ways could the seats be occupied if there were four children?

Answers

Answer:

5 choose 4

[tex]=\frac{5!}{4!\left(5-4\right)!}[/tex] = 5

Step-by-step explanation:

Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.

Answers

Answer:

10÷5 = 2, 2+2 =4, answer is 4

simplify the expression and choose the best choice

Answers

Answer:

D

Step-by-step explanation:

[tex]\sqrt{3^{15} }[/tex]

[tex]\sqrt{3*3*3*3*3*3*3*3*3*3*3*3*3*3*3}[/tex]

[tex]\sqrt{3^{14} * 3}[/tex]

[tex]\sqrt{((3^7)^2)*3}[/tex]

[tex]3^{7}[/tex][tex]\sqrt{3}[/tex]

Please help..If you know the correct answer​

Answers

Answer:

AC is the longest side

AB is the shortest side

Step-by-step explanation:

We can find the third angle

A+B+C = 180

55+80+C = 180

135+C = 180

C = 180-135

C =45

The longest side is opposite the largest angle

B is the largest angle so AC is the longest side

C is the the smallest angle so AB is the shortest side

If I worked 8 hours and 49 minutes but my paycheck was only 97.17$ what was my hourly wage.

Answers

Answer:

11.021$

Step-by-step explanation:

49min to hr=49/60=0.816

now total worked hrs =8hr +0.816hr=8.166hr

now 1hr wage =97.17$/total hr(8.166)=11.021$

Z -7, when z=6 PLS HELP MY I AM NOT SURE IF I DID IT RIGHT I HAVE TO TURN THIS IN TOMORROW

Answers

Answer:

Z-7

6-7

-1

Step-by-step explanation:

we have to replace the value of Z and then subtract by seven.

[tex]\sf \: z = 6 \\ \\\sf z - 7 \\ \sf = (6) - 7 \\ \sf = 6 - 7 \\ = \underline{\bf - 1}[/tex]

-> Just substitute the value of z in the equation & you'll get the required solution.

Explain how to know when to use mean, median, or mode as a measure of
central tendency. For each measure, give an example of a situation where the
center should be used.

Answers

Answer:

Step-by-step explanation:

Mean

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Median

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2.

Mode

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.


X – 10x = 100
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
On the same line as your final answer you must write "to 1 decimal place".

Answers

Answer:

-11.01 or -11

Step-by-step explanation:

x-10x=100

1x-10x=100

-9x = 100

-9x/-9 =100/-9

x = -11.01

No calculator used

find the difference between of the greatest and smallest 5 digit number​

Answers

Answer:

Step-by-step explanation:

The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.

Hope this answer helps you :)

Have a great day

Mark brainliest

The Raptors are scheduled to play 85 games this season.
a. Create a table of values that will show some of the possible amounts Stretch might eam
throughout the first season. Number of games played is represented by n and money
earned by E.
b. Graph the information to show his earnings for the season. Use a suitable scale. Change
the money values in your table to millions of dollars before starting.
C. D) Write an equation relating Stretch's earnings to the number of games he plays.
ii) Define your variables, including units.
II) Explain what the numbers in your equation represent for Stretch.
d. How much money will Stretch make if he plays 44 games this season? Show your work.
e. Stretch's twin brother, Rory, has been offered a different contract. The following equation
defines the offer. E = 95 000n + 450 000
E represents Rory's total earnings in dollars and n represents the number of games Rory
plays. Is this a better offer than Stretch's? Give reasons for your answer by comparing the
two offers, reporting mathematical details about the comparison.

Answers

Answer:

How do you expect me to do all of that lol

Step-by-step explanation:

If Sunil earns $3672 per month, what is his annual salary?

Answers

Answer:

$44064

Step-by-step explanation:

Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.

3672 * 12 = $44064

Help on number 7 please

Answers

Answer:

Meh

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

[tex]\frac{3}{8} * 72 + x = 63\\[/tex]

x = 36

[tex]\frac{36}{72} = \frac{1}{2}[/tex]

2x^2-3x+2=x√(3x^2-2)

Answers

this is the answer i hope this help u<3

mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11

Answers

the answer is a.) 165 sorry if that’s wrong but i hope it’s right
Yeah it’s A I just did this

A researcher asked 36 tourists which Caribbean island was their favourite The results showed that 9 tourists said Tobago. The researcher wants to draw a pie chart to show this information What should the angle for the Tobago segment measure?


A. 9 degree
B. 14 degree
C.25 degree
D. 90 degree ​

Answers

90 degrees
Explanation= the fraction would be 9/36 people think Tobago if that fraction were to made out of 360 degrees like in a circle it would be 90:360
The answer Is D………………:..:::::…………….::::…::::…:::..:;::.:;:
.

Can someone help me with this math homework please!

Answers

Answer:

Step-by-step explanation:

Answer:

1: (D)

2: (A)

3: (D)

4: (B)

5: (A)

Step-by-step explanation:

Question 1:

The local minimum is the lowest point in an area/interval of the function. That means the y-value will be the lowest, so it's either (-2, -15) or (2, -15). However, only (2, -15) is listed as an answer choice, so that's your answer.

Question 2:

The graph starts at the x-value of 0 and continues forever as x increases positively. The answer is x >= 0.

Question 3:

The first term of the sequence if -1.5, so replace n with 1:

f(1 + 1) = -2f(1)

Then replace f(1) with -1.5:

f(2) = -2 * -1.5

f(2) = 3

The next term of the sequence is 3.

Question 4:

On the graph, there are two different outputs (y-values of 3 & -2) for one input (x-value of 1). You can either remove (1, 3) or (1, -2), but since only (1, 3) is listed as an answer choice, that's your answer.

Question 5:

The formula represents the conversion from Fahrenheit to Celsius, so C(76.1) would be the temperature of 76.1 degrees Fahrenheit being converted to degrees Celsius since Kareem stated in the question that 76.1 was degrees Fahrenheit.

Hope this helps (●'◡'●)

How do u find the area of a kite using coordinates?

Answers

Answer:

What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

34 pi

Step-by-step explanation:

Use formula for circumference, 2 pi r

Find the circumference for both circles because both circles circumference are included in the shaded region

Three fourths of the offspring of two fruit flies have short wings, while the rest have wild-type wings . In a batch of offspring from those two flies, 100 have wild-type wings. How many of the flies have short wings?

Answers

Answer:

300

Step-by-step explanation:

If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. This means that the number of offspring that have short wings must be [tex]\frac{3/4}{1/4}=\frac{3}{4}\cdot \frac{4}{1}=3[/tex] times larger than the number of offspring that have wild-type wings. Since there are 100 offspring who have wild-type wings, there must be [tex]100\cdot 3=\boxed{300}[/tex] that have short wings.

Alternative:

If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. Therefore, 100 represents one-fourth of the total number of offspring, meaning there must be [tex]100\cdot 4=400[/tex] offspring total. Thus, there are [tex]400-100=\boxed{300}[/tex] offspring with short wings.

Where should you place the needle of your compass in the first step of an angle bisection?

Answers

Answer:

Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.

An expression is shown below:

4m3 + 12xm2 − 8m2 − 24xm

Rewrite the expression by factoring out the greatest common factor. (5 points)

Answers

Answer:

Step-by-step explanation:

4m³ + 12xm² - 8m² - 24xm = (4m³ - 8m²) + (12xm² - 24xm)   {Group terms}

                                            =4m²(m - 2) + 12xm(m - 2)    {Factor terms}

                                            = (m - 2)(4m²  + 12xm)

                                            =(m -2) 4m(m + 3x).

Answer:

4m(m+3x)(m-2)

Step-by-step explanation:

4m^3 + 12xm^2 - 8m^2 - 24xm

= 4m(m^2 + 3xm - 2m - 6x)

= 4m(m(m+3x) - 2(m+3x))

= 4m(m+3x)(m-2)

Please hurry I will mark you the brainliest

Answers

Answer:

1 9/16 metres

Step-by-step explanation:

h = 25 ( 1/2)^n  where n is the number of bounces

let n = 4 bounces

h = 25 ( 1/2)^4

h = 25 ( 1/16)

h = 25/16

h = 1 9/16 metres

Now we have to,

find the height of the ball after 4 bounces.

→ h = 25 (1/2)^n

→ n is the number of bounces

Then keep n as 4 bounces,

→ 25 (1/2)^n

→ 25 (1/2)^4

→ 25 (1/16)

→ 25/16 m {or} 1 9/16 m

Thus, height of the ball is 25/16 m.

Instructions: Find the missing side. Round your answer to the nearest tenth.
53 and 10

Answers

Answer:

8

Step-by-step explanation:

10sin(53) = 7.986... = 8.0

first answer gets marked brainliest!!!

Answers

Answer:

A

Step-by-step explanation:

plz give brainliest

I need answers asappppp plz

Answers

Answer:

Step-by-step explanation:

Help Please Math!!!
Find The Surface Area Of The Prism

Answers

Answer:

Surface Area=208 cm²

Step-by-step explanation:

Surface Area= 2×l×w+2×l×h+2×h×w

SA= 2×11×4+2×4×4+2×11×4=208

Find KJ given gene base?

Answers

Answer:

KJ = 6

Step-by-step explanation:

KJ = 1/2 * EG

=1/2 * 12

=6

Find z, the total impedance, of each circuit. Express your answer in standard form

Answers

Answer:

a. 7 Ω

b. 5 Ω

c. 4.472 Ω

Step-by-step explanation:

a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.

So, z = R + R' = 4 Ω + 3Ω = 7 Ω

b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)

z = √((4 Ω)² + (3 Ω)²)

z = √(16 Ω² + 9 Ω²)

z = √(25 Ω²)

z = 5 Ω

c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]

z = √((4 Ω)² + (3 Ω - 1 Ω)²)

z = √(16 Ω² + (2 Ω)²)

z = √(16 Ω² + 4 Ω²)

z = √(20 Ω²)

z = √(4 × 5) Ω

z = √4 × √5 Ω

z = 2√5 Ω

z = 4.472 Ω

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