Write the following as an algebraic expression. Then simplify.

The total amount of money​ (in cents) in x nickles​, (x+3) quarters​, and 3x dimes. ​(Hint: The value of a nickel is 5 ​cents, the value of a quarter is 25 ​cents, and the value of a dime is 10 ​cents.)

The total amount of money is ___ cents.
​(Simplify your answer. Do not​ factor.)

Write The Following As An Algebraic Expression. Then Simplify.The Total Amount Of Money (in Cents) In

Answers

Answer 1

Answer:

[tex]60x+75[/tex]

Step-by-step explanation:

We want to find the total amount of money (in cents) of the expression:

[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]

Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:

[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]

Simplify. Distribute:

[tex]T=5x+25x+75+30x[/tex]

Combine like terms. Therefore, the total amount of money (in cents) is represented by:

[tex]T=60x+75[/tex]


Related Questions

YO LISTEN UP I GIVE SOMEONE 50 POINTS IF THEY ANSWER THIS QUESTION. answer it correctly

Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.



1) Write an equation describing the relationship between:

a) The number of plain coasters bought and the cost of the coasters.


b) The number of coasters with a logo bought and the price of the coasters.


c) Is either coaster relationship proportional? Explain in writing how you know.


d) Explain what the unit rate of the line described by each equation means in the context of the coasters.


2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.

a) Write the equation describing this relationship.

b) Indicate whether or not it is a proportional relationship and explain why?

c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.

Answers

Answer:

.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Consider the optimization problem of maximizing Cobb–Douglas production function: Q = 20 K1/2 L1/2, subject to cost constraint: K + 4L = 64.
a/ Use the method of Lagrange multipliers to find the maximum value of the production function;
b/ Estimate the change in the optimal value of Q if the cost constraint is changed to K + 4L = 65, and state the new maximum value of the production function.

Answers

Answer:

bsjsisisos9ss9w9s9s9

Your answer in part (b) read "one and one- fourth" is called a mixed number since it has a whole number part and a fraction part. What does the word "and" indicate in the name of this fraction?

Answers

9514 1404 393

Answer:

  the end of the whole number and the beginning of the fraction

Step-by-step explanation:

The word "and" means the whole part and the fractional part should be considered together as having a value equal to their sum. It signifies the separation between the whole-number part and the fractional part.

__

It has the same meaning as when used in a decimal mixed number:

1.2 = "one and two tenths"

PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.

A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13

Answers

Answer:

D. my answer for your question

Activity 2 Direction: Complete the proof. Given: V is the midpoint of |E, angle| cong angle E Prove: V is the midpoint of GR Proof: Statements 1. V is the midpoint of IE, 21 2. 3. 4. AGVI ARVE 5. 6. V is the midpoint of GR Q3 Week No.9 Competency E R Reasons Definition of Midpoint E 1. 2. 3. Vertical Angle Theorem 5. CPCTC 6. 5 Code: M8GE-Illh-1, M8GE-Illi-j-1 Activity 3 Direction: Fill in the missing statements and reasons. Given: GA bisects angle G; overline GA perp L overline D Prove: overline GL cong overline GD Proof: Statements 1. GA bisects 4G 2 . 3 . 4. ZGAL and angle GAD are right angles 5 . 6. overline GA cong overline GA; 7. Delta GAL cong Delta GAD; 8. overline GL cong overline GD L D Reasons Bisector 1. 2. Definition of Angle 3. Given 4 . 5. All right angles are congruent. 6. 7 . 8.​

Answers

Answer:

[tex]1.\ Given[/tex]

[tex]2.\ IV \cong VE[/tex]

[tex]3.\ \angle GVI \cong \angle RVE[/tex]

[tex]4.\ ASA\ congruence[/tex]

[tex]5.\ GV \cong VR[/tex]

[tex]6.\ Proved[/tex]

Step-by-step explanation:

Given

See attachment for right question format

Required

Complete the blanks

1. V is the [tex]midpoint[/tex] of |E, [tex]\angle I \cong \angle E[/tex] ---- This statement was stated in the question.

So, the reason is Given

2. Midpoint means halfway. So, we can fill the statement column with:

[tex]IV \cong VE[/tex] --- because V is the midpoint of IV and VE

or [tex]GV \cong VR[/tex] --- because V is the midpoint of GV and VR

3. Vertical angle are congruent. So, the statement is:

[tex]\angle GVI \cong \angle RVE[/tex] which means that angles at V are congruent

4. We have:

[tex]\triangle GVI \cong \triangle RVE[/tex] because

[tex]\angle GVI \cong \angle RVE[/tex] --- congruent angles (A)

[tex]IV \cong VE[/tex] ---- congruent sides (S)

[tex]\angle GIV \cong \angle REV[/tex]  --- congruent angles (A)

The above implies that: [tex]\triangle GVI \cong \triangle RVE[/tex] because of ASA congruence

5. CPCTC is true here because GV and VR are corresponding sides of triangles GVI and RVE. ---- [tex]\triangle GVI \cong \triangle RVE[/tex]

Hence, both sides are congruent ----[tex]GV \cong VR[/tex]

6. The given statement has been prived


Find HG and HI. Pleaseeee help :/

Answers

Tan 60 = GI / HG
Root 3 = 11/HG
HG = 11/root 3
HG = 6.3cm

Sin 60 = 11/ HI
Root 3 / 2 = 11/HI
Root 3 x HI = 11 x 2
HI = 22/root 3
HI = 12.7cm

Regards,
ArmyCee:)

If a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the final price of a pair of shoes costing $67.50 will be ?

Answers

Answer:

$10

Step-by-step explanation:

In other words, a 25% discount for an item with original price of $40 is equal to $10 Amount Saved Supose Have you received a amazon promotional code of 25 percent of discount.

The final price of the shoe after a series of discounts will be $27.33.

What is a percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the original price is $67.50.

The remaining price will be 60%,75%, and 90% after discounts. Then the final price of the product will be:-

Final price = 67.50 x 0.6 x 0.75 x 0.9

Final price = $27.33

Therefore, the final price of the shoe after a series of discounts will be $27.33.

To know more about percentages follow

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I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points

Answers

Answer:

Listen to the explanation

Step-by-step explanation:

Each dash on the line represents .10 so for the first one where it says .28 it should be about-

|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|

0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0

Do you get what I mean? Haha

Answer:

Assuming that the line goes from zero to one.

the area of a square is 196m2. What is the length of one side​

Answers

Answer:

14

Step-by-step explanation:

Simply take the square root of 196.

Hope that this helps!

Answer:

The side length is 14 m

Step-by-step explanation:

The formula for the area of a square is A = s^2, where s represents the length of one side.

If A = s^2  =  196m^2, we find the side length by taking the square root of both sides:  

s = √(196 m^2) = 14 m

The side length is 14 m

What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2

Answers

A is the correct answer to your question

i need help with this qnq

Answers

Answer:

The answer is 50km

Step-by-step explanation:

This is because IGH = TUV so IG = TU which is 50 kilometers.

1. Cheryl Douglas works 43 hours in a week for an exempt salary of $1,827 per week. What are Cheryl's gross weekly earnings?​

Answers

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

pls help asap!!

For the following geometric sequence, find the recursive formula.

(-80,20,-5...)

Answers

Answer:

For the geometric sequence, it has two forms of formula

We are interested in the recursive formula now

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Step-by-step explanation:

For the geometric sequence, it has two forms of formula

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Choose___on either side of the line.

Answers

Answer:

__ i dont get this question

Step-by-step explanation:

If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.

Answers

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

What exactly does a negative correlation coefficient mean?

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

To learn more about the correlation refer to:

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10. Which expression represents the cost of x pencils at $0.08 each and y notebooks at $1.70
each?
a. $1.78xy
b. $1.78(x + y)
c. $0.08x + $1.70 y
d. x + y +$1.78
e. $0.08 y + $1.70x

Answers

Answer:

C

Step-by-step explanation:

A, B, and D are all incorrect. The thing is you have to keep the pencils and notebooks separate. Then you add the totals of each. Anything that combines either the cost of one pencil and 1 notebook (such as B 1.78 (x + y)  is incorrect.

D is kind of a special case, but it is not correct. The price of one notebook and 1 pencil is $1.78.  But then you add 1 pencil and 1 notebook and you get some sort of odd term.

E is wrong. It would be right is y and x were interchanged so the x would go with 0.08

That leaves C which is the correct way to write it.

What is the solution to the equation 3 + 4/4y = 4?

Answers

Answer:

B. y= ¼

Step-by-step explanation:

3 + ^4√4y = 4

^4√4y =4-3

^4√4y = 1

^4√4y =^4√1

so, 4y = 1

y = ¼

Using the information in the Box-and-Whisker plot below, what is the minimum value?


A. 5
B. 12.5
C. 20
D. 27.5

Answers

Answer:

espero ayudarte ..............❤❤

Answer:

b

Step-by-step explanation:

El grado absoluto del monomio -7ab^2c^3 es menor que 4

Answers

I don’t understand ?? Sorry

Find the volume of the frog queen building in Graz, Austria. The building is 18 meters long, 17 meters tall, and 18 meters wide

Answers

Answer: 5,508 m3

Step-by-step explanation:  V= 18 x 17 x 18 = 5,508 m3

Answer:5, 508

Step-by-step explanation:

V 18×18×17=5,508

A tree was 14 3/8 inches tall when it was first planted. Two years later, the tree was 21 1/8 inches tall. how much did the tree grow in the two years​

Answers

Answer:

In two years, the tree grew 27/4in.

Step-by-step explanation:

21 1/8 - 14 3/8 = 27/4in.

hope it helped :)

mark me brainliest!

Males in the Netherlands are the tallest, on average, in the world with an average height of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of cm and standard deviation of cm.

Required:
a. What is the probability that a Dutch male is shorter than 175 cm?
b. What is the probability that a Dutch male is taller than 195 cm?
c. What is the probability that a Dutch male is between 173 and 193 cm?
d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answers

Complete Question

Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answer:

a. 0.2231

b. 0.1266

c. 0.6591

d. 252 people

Step-by-step explanation:

We solve using the z score formula of

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 183 cm

σ is the population standard deviation = 10.5 cm

a.What is the probability that a Dutch male is shorter than 175 cm?

This is interpreted as when x < 175 cm

Hence:

z = 175 - 183/10.5

z = -0.7619

Probability value from Z-Table:

P(x<175) = 0.22306

Approximately ≈ 0.2231

b.What is the probability that a Dutch male is taller than 195 cm?

This is interpreted as when x > 195 cm

Hence:

z = 195 - 183/10.5

z = 1.14286

Probability value from Z-Table:

P(x<195) = 0.87345

P(x>195) = 1 - P(x<195) = 0.12655

Approximately ≈ 0.1266

c.What is the probability that a Dutch male is between 173 and 193 cm?

For x = 173

z = 173 - 183/10.5

z = -0.95238

Probability value from Z-Table:

P(x = 173) = 0.17045

For x = 193

Hence:

z = 193 - 183/10.5

z = 0.95238

Probability value from Z-Table:

P(x= 193) = 0.82955

Hence, the probability that a Dutch male is between 173 and 193 cm

P(x = 193) - P(x = 173)

0.82955 - 0.17045

= 0.6591

d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

This is interpreted as when x > 190 cm

Hence,

z = 190 - 183/10.5

= 0.66667

Probability value from Z-Table:

P(x<190) = 0.74751

P(x>190) = 1 - P(x<190)

= 0.25249

Therefore, the number of people we would expect to be taller than 190 cm is

Random number of samples × Probability

= 1000 × 0.25249

= 252.49 people

Approximately≈ 252 people

b) 0.00169
(2 mks)
Lower limit =
Upper limit​

Answers

Answer:

Top bound = 0.001695

Lower bound = 0.001685

Step-by-step explanation:

The number given is 0.00169

Now, this is in 5 decimal places.

So, the lower bound will be;

0.00169 - 0.000005 = 0.001685

Thus is because rounding 0.001685 will give 0.0169

But for the top bound, we will add 0.000005 to the number;

Thus;

0.00169 + 0.000005 = 0.001695

What is the relative maximum point for the function shown on the graph?
A)(0, -1)
B)(-3,0)
C(-2,-5)
D)(2,5)
Helpppp plzzz

Answers

Answer:

A)     (0, -1)

Step-by-step explanation:

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)

(0, -1)

In a certain​ region, about 11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.

Answers

Answer:

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]y(t) = y(0)r^t[/tex]

In which [tex]y(0)[/tex] is the initial value and r is the rate of change.

11​% of a​ city's population switches from phone service provider APP to phone service provider BPP each​ year, and about 5% of the populaton switches from BPP to APP each year.

This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:

BPP:

[tex]B(t) = B(0)(1 + 0.06)^t[/tex]

[tex]B(t) = B(0)(1.06)^t[/tex]

APP:

[tex]A(t) = A(0)(1 - 0.06)^t[/tex]

[tex]A(t) = A(0)(0.94)^t[/tex]

In​ 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.

This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]

Thus

[tex]B(t) = 2.05(1.06)^t[/tex]

[tex]A(t) = 1.75(0.94)^t[/tex]

Find the predicted number of customers for each provider in 2022.

2022 - 2018 = 4, so we have to find A(4) and B(4).

[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]

[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]

The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.

Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.6-in and a standard deviation of 1.1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head diameters that are in the smallest 0.8% or largest 0.8%.1. What is the minimum head breadth that will fit the clientele?
2. What is the maximum head breadth that will fit the clientele?

Answers

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that [tex]\mu = 6.6, \sigma = 1.1[/tex]

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.41 = \frac{X - 6.6}{1.1}[/tex]

[tex]X - 6.6 = -2.41*1.1[/tex]

[tex]X = 3.95[/tex]

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.41 = \frac{X - 6.6}{1.1}[/tex]

[tex]X - 6.6 = 2.41*1.1[/tex]

[tex]X = 9.25[/tex]

The maximum head breadth that will fit the clientele is of 9.25-in.

If H0 is rejected for an analysis of variance, what can we conclude?
a. We can conclude that all the population means have the same value.
b. We can conclude that at least one of the population proportions has a different value.
c. We can conclude that at least one of the population means has a different value than the other population means.
d. We can conclude that all the population means have different values.

Answers

Answer: We can conclude that at least one of the population means has a different value than the other population means.

Step-by-step explanation:

When the null hypothesis is rejected for an analysis of variance, we can then conclude that at least one of the population proportions has a different value.

For one-way analysis of variance, it should be noted that the null hypothesis is rejected when there is sufficient evidence which is used in making the conclusion that not all the means are equal and that there is a different value.

pls help i’ll mark brainliest if your right

Answers

Answer:

628 Cubic Yards

Step-by-step explanation:

me ayudan plissssssss

Answers

Answer:

73.74°

Step-by-step explanation:

sin Ф = opposite/hypotenuse

sin Ф = 24/25

[tex]sin^{-1}[/tex] (24/25) = 73.74

Which statement best describes the areas and perimeters of the figures?

Answers

Answer:

The last one!

Step-by-step explanation:

most likely the last option
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Name two characteristics of the Fibonacci Series that you observed. Read the following excerpt from Mrs. Drainger's Veil by Howard Mumford Jones:Emily, of course, had changed. She met me at the door as she met you. She was a shell burned out by one fierce moment of fire.The figurative language used in the excerpt is . It helps us infer that Emily is . For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standarddeviation?The formula for the sample standard deviation is a -Jo-;2(x-z(x -- HojeUse the table to help you.4.5101115X-8(x - x?-525-4161124.636Sum= 82Round your answer to the nearest tenth. help asap pls -=-=-=-=-------------- Find the 23rd term of the arithmetic sequence with the terms a1 27 and d = 16. Can you turn this into an indirect sentence, please? Tim, try a little harder, said the professor. Write a story that ends with the words:that experrence was one of the best things that ever happened to me. help plzzzzzzzzzzzz ? work out 8^2/3^2/3 means to the power of 2/3 g A company's flexible budget for 15,000 units of production showed sales, $60,000; variable costs, $22,500; and fixed costs, $17,000. The sales expected if the company produces and sells 19,000 units is (Do not round intermediate calculations): Right now I'm working on a project where I have to make my own civilization but I'm stuck and I don't know what to put in my 5 categories, so does anyone have any suggestion? HELP HELP HELP!!! Why would an investor choose to invest in speculative stocks when he or she could invest in blue-chip stocks instead? Listing The first column below identifies the different types of people wholived in ancient Rome. Write two facts about each person in the secondcolumn.People in Ancient RomeFactsWealthy Romans1.Poor Romans2.Fathers3. 4.WomenEnslaved Persons5. A cyclist travels at a rate of 12 kilometers per hour. What is the rate in kilometers per minute? How many kilometers will the cyclist travel in 20 minutes? Do not round your answer. wich best describes how mRNA is used by a cell (x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of Please help Ill give brainliest How tall is the table?120cm90cmI HELP ASAPWhich of the following is NOT a statistical question?a. How old are the members of the football team?b. Who is the captain of the football team?c. What is the average 40-meter dash time for players on the football team?d. How tall are the players on the football team? 4. Describe the physical environment ofmedieval cities,