Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dollar bills than 10 dollar bills. How many of each kind of bills does elizabeth have?

Answers

Answer 1

Answer:

Let F = The number of $5 bills and T = the number of $10 bills.  She has 15 bills total, so:

 

F+T = 15                

T = 15-F

 

She has $120 total:

 

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F)         [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

 

6 = F

 

Check:

T= 15-F = 15=6 = 9

 

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

Answer 2

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

Equation

Let x represent the number of $10 bill, y represent the number of $5 bill and z represent the number of $1 bill. Hence:

10x + 5y + z = 101   (1)

Also:

y = x + 5     (2)

And:

z = 4x    (3)

From equation 1, 2 and 3:

x = 4, y = 9, z = 16

Elizabeth had 4 of $10 bills, 9 of $5 bills and 16 of $1 bill.

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Related Questions

(SAT PREP) Find the value of x, NEED ASAP WILL AWARD BRAINLIEST!

Answers

Answer:

Step-by-step explanation: add 15, 25 and 39

then subtract by 180

Answer:

101

Step-by-step explanation:

(There is a shorter way to solve this, is in the other answer omg sorry)

First we have to find the last angle of the smallest triangle.

The addition of all angles in a triangle is always 180º so that means:

39 + 25 + y = 180

y = 180 - 64

y = 116

Now that we know the value of that angle we can find the other angle (not x) and with it we can get the answer.

Because flat angles are 180º too

Then:

116 + z = 180

z = 180 - 116 = 64

Finally now we calculate the addition of all angles again to find x:

x + 15 + 64 = 180

x = 180 - 79

x = 101

Hope it was helpful ;)

This question is worth 2 points! Allison makes and sells beaded necklaces. She charges a flat fee of $5 per necklace, and $1.50 per bead that she adds. If Jennifer, who wants to purchase a necklace, has $34 to spend, how many beads can she add to her necklace? Explain the process you used to solve, and tell what your answer is.

Answers

Answer:

19 beads

Step-by-step explanation:

If Jennifer has 34$ she automatically loses 5$ because that's the fee for the necklace. So, you subtract 34 from 5 and you get 29. After that you divide 29 by 1.50 and you get 19.333333. But, since you can't get 1/3 of a bead Jennifer can only buy 19 beads.

In 2071 the monthly salary of the Chief justice of
Nepal was Rs. 53580. If 1 % tax was levied on firs
Rs. 300000 and certain rate on remaining so that the
chief justice paid Rs. 4537 monthly tax. How much
was the tax percentage on remaining? (Ans: 15%)​

Answers

Answer:

Step-by-step explanation:

There must be an error—or multiple errors—in the question. Rs 300,000 doesn't make sense, because that would mean he was due a tax refund.

Rs 30,000 doesn't work, either, because that would  mean he was paying 18% tax, not 15%.

If a 1% tax was levied on the first Rs 25,000, then he would pay Rs 4,287 on on the remaining Rs 28,580, which would work out to 15%.

if 8 times a number is increased by 3 the result is 19 more than 6 times this number find the number

Answers

Answer:

8

Step-by-step explanation:

let x be the number

8*x+3=6*x+19

8x+3=6x+19

rearrange

8x-6x=19-3

2x=16

x=16/2=8

check: 8*8+3=64+3=67

            6*8+19=48+19=67

The number of days, d, that it will take to build a house is given by

d= 720 divided by n

where n is the number of workers used each day.

Ali's company will take 40 days to build the house.

Hayley's company will take 30 days to build the house.

Hayley's company will have to use more workers each day than Ali's company.

How many more?

Answers

Answer:

6 more workers

Step-by-step explanation:

The relationship between days (d) and number of workers (n) is given by the equation;

d = 720 / n

Ali's company will take 40 days to build the house.

n = 720 / d

n = 720 / 40 = 18 workers

Hayley's company will take 30 days to build the house.

n = 720 / d

n = 720 / 30 = 24 workers

Hayley's company will have to use more workers each day than Ali's company.

How many more?

24 - 18 = 6 more workers

Dawn is playing a word game. The scores for her first nine words are:
14, 23, 9, 15, 17, 22, 24, 17, 21
Which best describes her scores?

Answers

Answer:

The minimum is 9 the maximum is 24 and the range is 9

Step-by-step explanation:

The minimum is 9 and the maximum is 24 and the range is 15

What is the range of a set of observations?

The difference between the highest and lowest values in the observation is known as the range of the observation.

Given here: 14, 23, 9, 15, 17, 22, 24, 17, 21

Clearly max. value =24 and min. value=9

∴ Range= 24-9

              =15

Hence, The minimum is 9 and the maximum is 24 and the range is 15

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how math is calculated in our everyday life?​

Answers

Answer:

We use math when cooking

Step-by-step explanation:

Answer:

We can use our brains, calculators, and in everyday situations such as cooking, paying for items, etc.

Step-by-step explanation:

For example, if you purchase something at a grocery store, there will be change and you have to calculate the correct amount.

find the sample standard deviation

Answers

Answer:

Step 1: Calculate the mean of the data—this is xˉx, with, \bar, on top in the formula.

Step 2: Subtract the mean from each data point. ...

Step 3: Square each deviation to make it positive.

Step 4: Add the squared deviations together.

Step 5: Divide the sum by one less than the number of data points in the sample.

Step-by-step explanation:

x: x is a positive counting number less 25}

Answers

Answer:

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus,

Set A will be:

[tex]A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}[/tex]

 

The Cardinality of the set

The Cardinality of the set represents the total number of elements in a given set.

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. 3 • Parking lot: 3/4 mile • Summit: 1 1/2 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: “The total hike is three times as long as what we have already gone." a) Can they all be correct?​

Answers

Answer:

Yes they can

Step-by-step explanation:

                         .

Tyler's statements are consistent with the given distances.

To determine if Mai, Clare, and Tyler can all be correct, we need to evaluate the statements they made in relation to the given distances.

Statement 1: Mai says, "We are one third of the way there."

The distance from the parking lot to the summit is 1 1/2 miles. If they are one third of the way there, the distance they have already traveled would be 1/3 * 1 1/2 miles = 1/3 * 3/2 miles = 1/2 mile. However, the given distance from the parking lot is 3/4 mile, which is greater than 1/2 mile. Therefore, Mai's statement cannot be correct.

Statement 2: Clare says, "We have to go twice as far as we have already gone."

If they have already gone a distance of x, then according to Clare's statement, they have to go a distance of 2x. This statement does not contradict the given distances, so it could be true.

Statement 3: Tyler says, "The total hike is three times as long as what we have already gone."

If they have already gone a distance of x, then according to Tyler's statement, the total hike would be 3x. This statement also does not contradict the given distances, so it could be true.

Based on the analysis, only Mai's statement cannot be correct. Clare and Tyler's statements are consistent with the given distances.

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ANSWER ASAP!!!!!!!!!!!!!!!

Answers

Answer:

linear and increasing

Step-by-step explanation:

uwu

To use ASA to prove that SEA= PEN, one must show that _____ by the vertical angle theorem.

Answers

Answer:

B

the answer for ur question is:

the answer for ur question is:B

the cost of an airplane flight increases from $250 to $295.
what is the percentage increase?

Answers

The answer to your question is 18% increase

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week. A graph shows Hours Spent Studying on x axis and Test Score on y axis .The graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. The ordered pairs 0, 21 and 0.8, 32 and 1.2,35 and 1.5,39 and 2.1, 42 and 2.3,45 and 2.5,49 and 2.7, 50 and 3, 67 and 4.6, 56 and 5, 69 and 5.3,70 and 5.7,74 and 6.4,78 and 7.2,80 and 7.5,84 and 8.5,88 and 8.7,92 and 9.5,96 are shown on the graph. What will most likely happen to the test scores of students if the number of hours they study increases? Test scores will increase because the graph shows a negative association. Test scores will increase because the graph shows a positive association. Test scores will decrease because the graph shows a positive association. Test scores will decrease because the graph shows a negative association.

Answers

Answer:

Test scores will increase because the graph shows a positive association.

Step-by-step explanation:

Since it is going upwards to the right instead of going downwards and for the people who steady more hours they get better scores on there test.

btw i just took it and got it right

From given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

What is scatter plot?

"A type of data representation that shows the relationship between two numerical variables. "

What is positive association?

"When the values of one variable tend to increase as the values of the other variable increase, then two variable have positive association."

What is negative association?

"When the values of one variable tend to decrease as the values of the other variable increase, then two variable have negative association."

For given question,

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.

A scatter plot shows Hours Spent Studying on x axis and Test Score on y axis .

Also we have been given the ordered pairs

(0, 21), (0.8, 32), (1.2, 35),  (1.5, 39), (2.1, 42), (2.3, 45) and (2.5, 49) and   (2.7, 50) and (3, 67) and (4.6, 56) and (5, 69) and (5.3, 70) and (5.7, 74) and (6.4, 78) and (7.2, 80) and (7.5, 84) and (8.5, 88) and (8.7, 92) and (9.5, 96)

From the given data points of scatter plot,

as x - value increases, y - value also increases.

This means,  if the number of hours they study increases, the test scores will increase.

Here, the values of one variable tend to increase as the values of the other variable increase.

This means, there is positive association in variables Hours Spent Studying and Test Scores.

Therefore, from given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

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What is 100x100000000000000000000000000000000000. Show work

Answers

Answer:

1e + 37

Step-by-step explanation:

the work is to much!

PLS HELP ITS DUE IN 6 MINUTES (Determine the sale price after including and 8.25% sales tax. $18.99 CD; 15% discount )

Answers

Answer:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Step-by-step explanation:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

-4x-2y=-12
solve the system of equations

Answers

um there needs to be another equation

(SAT PREP) FIND THE VALUE OF X PLEASE ASAP AWARDING BRAINLIEST!!

Answers

Answer:

116

Step-by-step explanation:

x=180-(25+39+15)=116degrees

Answer:

116 is the correct answer to this question

Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18

Answers

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

What is an Equation?

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

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Someone please help!! asap!!

Answers

Answer:

14.308-665544906576543214990

Joel is planning to pack 5 shirts and 2 pairs of pants for a weekend trip. If he has 11 shirts and 6 pairs of pants to choose from,
in how many different ways can this be done.

Answers

Answer:

5/11 shirts

2/6 pants

he has 67 different ways i think

Rudy correctly solved the equation 10 = 4r.
Which statement describes his solution?
A
The solution is 40 since 10 times 4 equals 40.
The solution is 2.5 since 4 times 2.5 equals 10.
С
The solution is 2.5 since 4 divided by 2.5 equals 10.
D
There is no solution because no value can be multiplied by 4 to get 10.

Answers

Answer:

its B

Step-by-step explanation:

Auditors must make judgments about various aspects of an audit on the basis of their own direct experience, indirect experience, or a combination of the two. In a study, auditors were asked to make judgments about the frequency of errors to be found in an audit. The judgments by the auditors were then compared to the actual results. The data are contained in the Excel Online file below. Suppose the data were obtained from a similar study; lower scores indicate better judgments.
Direct Indirect Combination
17.0 16.6 25.2
18.5 22.2 24.0
15.8 20.5 21.5
18.2 18.3 26.8
20.2 24.2 27.5
16.0 19.8 25.8
13.3 21.2 24.2
Construct a spreadsheet to answer the following questions. Open spreadsheet Use to test to see whether the basis for the judgment affects the quality of the judgment. The -value is (to 2 decimals) . The exact -value is (to 4 decimals) .
What is your conclusion?

Answers

Solution :

         Direct          Indirect           Combination

1          17                  16.6                    25.2

2        18.5                22.2                    24

3        15.8                20.5                    21.5

4        18.2              18.3                       26.8

5        20.2             24.2                      27.5

6        16                   19.8                     25.8

7        13.3                21.2                      24.2

n         7                     7                           7

[tex]$\bar X$[/tex]        17                   20.4                      25

s         2.238            2.501                      2.002

[tex]$\bar X_{avg}$[/tex]   20.8              

Source               df           SS              MS                F          P-value

treatments        2        225.680     112.840      22.1593    0.000

error                  18        91.660       5.092

total                   20       317.340

The test hypothesis is :

[tex]$H_0$[/tex] : the basis for the judgement does not affects the quality of the judgment.

[tex]$H_a$[/tex] : the basis for the judgement affects the quality of the judgement.

Given a = 0.05, since the p-value is less than 0.05, so we reject [tex]$H_0$[/tex].

Therefore, the basis for the judgement affects the quality of the judgement.

need help like every time :{

Answers

Answer:

I need free points but all ik is the -4 needs to be divided by 4 then u have 5g+14=5g/-1

Step-by-step explanation:

step 1: multiply both sides:
20g + 56 = 5g - 4
step 2: move the terms
20g - 5g = -4 -56
step 3: collect like terms and calculate
15g = -60
step 4: divide both sides
g = -4
a good app for help with solving equations is photomath! it shows you the solving steps, hope this helps!

Which is the value of this expression when =-
=-2
and G=-1?
(602)19-3)?:(6091629)
A
-4
16
16
4

Answers

Answer:

-4 is the correct answer

Sameer woke up one morning and saw frost on the windows. It was -7°C outside. Later in the day, the frost melted. At 3 p.m. it was 2°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

[tex]d = 9[/tex]

Step-by-step explanation:

Given

[tex]Morning = -7^{\circ}C[/tex]

[tex]Afternoon = 2^{\circ}C[/tex]

Required

What represent the difference

The expression that represents the difference (d) are:

[tex]d = |Morning - Afternoon|[/tex]

Substitute values for Morning and Afternoon

[tex]d = |-7 - 2|[/tex]

[tex]d = |-9|[/tex]

[tex]d = 9[/tex]

what is the angle of elevation (in degrees) to the nearest degree to the top of a 40ft building 90 ft away ​

Answers

Answer: 24°

Step-by-step explanation:

You have the opposite, the height of the building and the adjacent, the distance from the base of the building. Opposite and adjacent mean you have to use tangent. SOHCAHTOA

Take the inverse tangent on both sides

tan(Ф) = 40/90

Ф = 24°

1 point
Question 8) What is the value of
the digit 2 in the number 48.621?

2/100
2/10
2
200
options
O
Ο Ο
O​

Answers

9514 1404 393

Answer:

  (a)  2/100

Step-by-step explanation:

To determine the value of a digit, set all other digits to zero. Your digit has a value of ...

  0.020  . . .  two hundredths = 2/100

Answer:

2/10

Step-by-step explanation:

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

The results of a linear regression are shown below.
y = ax + b
a=-1.15785
b = 139.3171772
r= -0.896557832
r2 = 0.8038159461
Which phrase best describes the relationship
between x and y?
1) strong negative correlation
2) strong positive correlation
3) weak negative correlation
4) weak positive correlation

Answers

Answer:

2 hopefully this helps you with work

The best describes the relationship between x and y will be;

⇒ Strong negative correlation.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The results of a linear regression are shown below,

⇒ y = ax + b

⇒ a = -1.15785

⇒ b = 139.3171772

⇒ r = -0.896557832

⇒ r₂ = 0.8038159461

Now,

With the value of r we have both the information about the sign of the relationship and the strength of this relationship.

⇒ As the value of r is negative, we can conclude that the correlation between x and y is negative.

Also, as the absolute value of r is close to 1, we can conclude that this relationship is strong.

And, The strength can also be seen in the value of r2, which is also close to 1, but this value does not give information about the sign.

Thus, The value of the slope a, being negative, can also tell us that the relation between x and y is a negative correlation.

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Which of the following quotes best summarizes the central idea in "The Unseen Values"?"Investors, even governments, are human, and before they invest in something they normally want to know: What good is it?"The greatest, finest benefits to come from our ventures into space are yet unseen.""The implications of this knowledge for satellites near Earth or for reentering spacecraft are obvious.""We cannot always account for what we have purchased with each research dollar." #4 Find angles 1, 2, 3 A SO 13 2 A) 90, 40, 50 B) 90, 50, 40 C) 90, 50, 90 D) 90, 40, 90 What is the other match? How was Athens a civilized and advanced society? Read the summary paragraph for the article on service and answer the question that follows: Service improves society, impacting the helpers as well as those needing assistance. It means being an active participant in one's community, taking action where it can be of benefit. Every person should make it a priority to serve at least two hours per week. It's an extremely important civic responsibility that is invaluable to citizens most in need. Service creates improved communities where people care about each other.What are the key details from the article that should appear in its summary?a.) Service is performed by millions of Americans each year, saving tax dollars.b.)Service is being an active helper in the community and taking action that can be of benefit.c.) Service comes from those who have the time and money to not work.d.) Service comes from citizens who care and accept their responsibility. What, in degrees, is the measure of the largest angle in $\triangle PQR?$ Put yourself in Annies shoes. Helen has been extremely difficult in letting Annie teach her anything. Could you do Annies job? Why or why not? Give DETAILS to support your answer. Last year, Bob's Market ordered 15 1 2 15 2 1 pounds of plums from a local orchard. This year, the market plans to order 1 1 4 1 4 1 times as many pounds of plums as were ordered last year. They want 2 5 5 2 of this order to be red plums. What is the total amount, in pounds, of red plums the market plans to order this year? Problem 5A shoe store purchases a pair of shoes for $75before a mark up is applied.There is a 140% markup. After the markup, a 6%sales tax is added.What is the total after discount and tax? The Product of a number m and 23 Ok I really dont understand thisPlease Find the area for each trapezoid, I barely have any time left please be fast what are types of communication can done through mobiles What is the frequency of highly energetic ul-traviolet radiation that has a wavelength of124 nm?The speed of light is 3 x 108 m/s.Answer in units of Hz. Which of the following could NOT be a possible option of the third side to a triangle with the sides 4 inches and 12 inches? *A. 9 inchesB. 12 inchesC. 8 inchesD. 13 inches What happens to your body when you eat sugar? How did Black History MonthBegin? Will give brainliest,in relation to the Atlantic slave trade:_________ were the first to import large number of Bantu speaking Africans to their territory as slaves. How do city planners today hope to make American cities green Writing Prompt Algebra IYour aunt is planning on building a rectangular pool that measures 10 feet by 12 feet. Aconcrete walk around all four sides of the pool will also be included in the deal. However,your aunt is not sure how big to make the width of the walk. Therefore, the width will bex feet long. Your aunt is wondering how much land will be needed for the pool and thewalkway bordering the pool. You are to write a written description to your aunt telling herhow you would find the area of land needed for the pool and the walkway bordering all foursides. Ikerd Company applies manufacturing overhead to jobs on the basis of machine hours used. Overhead costs are estimated to total $347,325 for the year, and machine usage is estimated at 126,300 hours.For the year, $375,125 of overhead costs are incurred and 132,700 hours are used.Required:1. Compute the manufacturing overhead rate for the year. (Round answer to 2 decimal places, e.g. 1.25.)2. What is the amount of under- or overapplied overhead at December 31?3. Prepare the adjusting entry to assign the under- or overapplied overhead for the year to cost of goods sold.