In a game, Theodore received a handful of coins (pennies, nickels, dimes, and quarters) as a prize. When he got home, he found that he had managed to get $2.09 in change. He noticed that he had three times as many pennies as dimes, one more nickel than dimes, and twice as many.quarters as dimes. How many quarters did Theodore get in his prize? F. 4 G. 5 9 'H J. 7 K. 8

Answers

Answer 1

Answer:

6

Step-by-step explanation:

https://web2.0calc.com/questions/algebra_69756

Answer 2

Theodore get 6 quarters in Prize.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let p the number of pennies, d be the number of dimes, n be the number of nickels and q be number of quarters.

So, the expressions are

p = 3d                

n = d+1              

   = 5(d+1)

d = 10d

and, q = 2d              

           = 25 (2d)                    

and, the total is = $209

                          = 209

Then,

3d + 5(d+ 1)  + 10d  +25 ( 2d) = 209

68d + 5 = 209

d = 3                          

Thus, the number of quarters = 2d = 6 quarters.

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Related Questions

- Ashanti earns $50 an hour. How much does she earn in 6 hours?

Answers

Solution:-

Given,

Ashanti earns=$50 an hour

Ashanti earns in 6 hours=?

Now,

Ashanti earns in 60 hours=$50×6

=$300

Therefore,Ashanti earns $300 in 6 hours.

The team won 18 of its 30 games. What was the team’s won-lost ratio?

Answers

Answer:

18:12 (accurate)

3:2 (simplified)

Step-by-step explanation:

The team won 18 games out of 30 total games. Find the amount of games lost by simply subtracting 18 with 30:

30 - 18 = 12

The ratio you are trying to find is won to lost, or won:lost. Plug in the corresponding numbers to the corresponding terms:

won:lost ⇒ 18:12

18:12 is the ratio.

If the teacher asks you to simplify, factor both sides. Divide 6 from both sides:

(18)/6 : (12)/6

3:2

3:2 is your simplified ratio.

~

HELP.... BRAINLIEST FOR ANYONE WHO ANSWERS
Kelly walks 1/3 mile to school. Justin’s walks 75% longer. How far does Justin walk to school?

Answers

Answer:

7/12 miles i think

Step-by-step explanation:

3/4 x 1/3 = 1/4

1/3 + 1/4 = 7/12 miles

Solve the inequality x+6<7. Then graph the solutions.
What are the​ solutions? Select the correct choice below and fill in the answer box to complete your choice.
A.
xgreater than or equals
B.
xgreater than
C.
xless than
D.
xless than or equals

Answers

I’m not exactly sure but i think it might be x less than. When i solved the inequality i got x < 1

Simplify the expression. -6 1/3-1/2(1/2+x)

Answers

Answer:

-79/12 - x/2

Step-by-step explanation:

Simplify ⏬

PLEASE HELP. it is in the attachment

Answers

Answer:

<JKL=123

Step-by-step explanation:

57+57=114

360-114=246

246/2=123

<JKL=123

Answer:

angle JKL=123 degrees

Step-by-step explanation:

since sides of a rhombus are parallel, angle JKL is supplementary to angle KJM (or same side interior) so angle JKL is 180-57=123 degrees

what is nthe anwer
5 - 2x + 50

Answers

Step-by-step explanation:

= 55 - 2x is the answer .

plz mark my answer as brainlist if you find it useful.

Answer:

Add 5 and 50

−2x + 55

Step-by-step explanation:

Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos

Answers

Answer:

Kg de carne= 15 kg

Step-by-step explanation:

Dada la siguiente información:

Una persona compra 2.5kg de carne por día.

Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:

Kg de carne= kg por día*cantidad de días

Kg de carne= 2.5*6

Kg de carne= 15 kg

sum of 500 consecutive integers is 250 . what is the product same 500 numbers

Answers

Answer:

250 and 2 because i think 250 multiply by 2 is 500

The product of the 500 numbers is 0.

What are integers?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

Consecutive integers are whole numbers that follow each other on the number line. For example, 1, 2, 3, 4 .... are consecutive integers.

How to determine the product of the 500 consecutive integers

If the sum of the 500 consecutive integers is equal to 250, it means that the consecutive integers would include negative numbers, zero and positive numbers. If the consecutive integers include zero, the product of the consecutive integers would be equal to zero.

To learn more about products, please check: https://brainly.com/question/3385014

Plz help meeeeeeee !!!!!

Answers

Answer:

answer is A

Step-by-step explanation:

simplify: -28+2r+3r+5

simplify more: 5r-23

2(-14+r) - (-3r-5)
-28+2r +3r+5
-23+5r
so, the answer is A

Hope this helps!! :)

please answer correctly and quickly all the question-answer all the questions, please

Answers

Answer:

Step-by-step explanation:

81= 3 times k. K equals 27

4x-12 = 18. X is 5

4x-3=5. X is 2

4x-2=38. Answer is C

I hope this helps!

Plz, Plz, mark Brainliest!

11) 4x-3=5
+3 +3
4x=8
/4 /4
x=2

14) 81=3k
/3 /3
27=k

The last question) 4x-12=8
+ 12 +12
4x=20
/4 /4
x=5

4x - 8 - 6x + 10 = ?

Answers

Answer:

-2x + 2

Step-by-step explanation:

Answer:

-2x+2

Step-by-step explanation:

This is the farthest this expression can be reduced to, there is no way to solve it

Hope this helps (:

What is the length of segment AC?​

Answers

The y difference of the 2 lines are 6(you can just count these)

The x difference of the 2 lines are 8(again you can count this)

Now calculate distance using distance formula (the pythag theorem)

sqrt(6^2+8^2)=sqrt 100= 10

Therefore the distance of AC is 10.

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

The population grew by 12600 people.

Step-by-step explanation:

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

The population grow from 2010 to 2015 is 12600

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Total population in 2010 = 180000

From 2010 to 2015, the population grew by 7%.

Then, the population grew from 2010 - 2015

= 7% of 180000

= 7/100 x 180000

= 7 x 1800

= 12600

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To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.

c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved

Answers

Answer:

6.5 hours

Step-by-step explanation:

123-45=78

78/12=6.5

Theo had the limousine reserved for 6.5 hours.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Theo's equation for the cost of renting a limousine is:

c = 45 + 12h

where c is the total cost,

and h is the number of hours reserved.

If the final bill amounts to $123,

we can set c equal to 123 and solve for h:

123 = 45 + 12h

Subtracting 45 from both sides:

78 = 12h

Dividing both sides by 12:

h = 6.5

Therefore, Theo had the limousine reserved for 6.5 hours.

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Your teacher is giving a test that has 5 more four-point questions than six-point questions.
The test is worth 120 points. Which system represents this information?​

Answers

Answer:

x-y=5

4x+6y=120

Step-by-step explanation:

let x = # of 4-point questions

ley y = # of 6-point questions

# of 4-point questions is 5 more than # of 6-point questions

x=y+5 or x-y=5

now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:

4x+6y=120

The System of Equation is

x-y=5

4x+6y=120

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x be number of 4-point questions.

ley y be number of 6-point questions.

as, the 4-point questions is 5 more than 6-point questions

So, x=y+5

or x-y=5.................(1)

Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.

So, 4x+6y=120....................(2)

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Who can do my i-Ready math is only 1 lesson I’m level E pls

Answers

I’ll do it, math or reading?

Admission to the carnival cost four dollars then each game cost $.50 if Kalen can spend no more than $10 how many games can she play

Answers

Answer:

12

Step-by-step explanation:

10-4=6

6÷0.50 = 12

2x +3y = 12

Complete the missing value in the solution to the equation

(__, 8)​

Answers

Answer:

The two solutions of the equation is (0,-4)(6,0).

How many vehicles are at Nam's Gas Station?

Answers

Answer:

23

Step-by-step explanation:

The number of car are in the y-intercept line so just add each one of the for every different bar.

3 + 4 + 5 + 6 + 3 + 2 = 23

So there are 23 vehicles in total.

The number of vehicles are at Nam's Gas Station is 23

Calculation of the number of vehicles:

Since The number of cars are in the y-intercept line

So here the no of vehicles should be

= 3 + 4 + 5 + 6 + 3 + 2

= 23

Here we added according to the given graph

Therefore, we can conclude that The number of vehicles are at Nam's Gas Station is 23

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Use the original price and the markup to find the retail price.

Original price $68; Markup 15%

The retail price is $________?​
how I did it 68 x .15= 45.33333 rounded = 4.53
68 + 4.53 = 72.5 then I added a 0, 72.50
is 72.50 the answer?

Answers

Answer:

15% of $68 is $10.2

$68 + $10.2 = $78.2

The retail price is $78.20

Andy learns in school that plants grow best when they receive an optimal range of water, sunlight, and nutrients. He decides to do an experiment with bean plants to test this idea. Over the course of a month, he is planning on giving five bean plants different amounts of water. His watering schedule is outlined below.

Plant


Amount of Water

Every Week

A


0 mL

B


10 mL

C


100 mL

D


1,000 mL

E


10,000 mL

What will be the most likely result of his experiment?


Question 2 options:


A. Plant A will die, while all of the other plants will flourish.


B. There will be no difference between the plants by the end of the fourth week.


C. Plant A and Plant E will die.


D. Plant E will grow faster than all of the other plants.
Question 3 (1 point)

Answers

Answer:

C. Plant A and Plant E will die.

Step-by-step explanation:

A0 mL

B 10 mL

C 100 mL

D 1,000 mL

E 10,000 mL

Plant A will get no water so it will Die

Plant E will be overwatered so it will rot and die

please help I will give Brainlyest




If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)



Group of answer choices

143

314

14 ⋅ 3.

14 ⋅ 14 ⋅ 14

Flag this Question
Question 23 pts
(06.01)

Simplify the expression 43 + 2(3 − 2). (3 points)

Group of answer choices

14

16

66

68

Flag this Question
Question 33 pts
(06.04)

What is the value of 5 + 3x when x = 4? (3 points)

Group of answer choices

12

17

32

86

Flag this Question
Question 410 pts
(06.02)

Match the verbal expression with its algebraic expression. (10 points)

Group of answer choices
x3

[ Choose ]
b ÷ 3

[ Choose ]
3a

[ Choose ]
y − 3

[ Choose ]
z + 3

[ Choose ]

Flag this Question
Question 52 pts
(06.03)

For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)

Group of answer choices

0

1

3

6

Flag this Question
Question 66 pts
(06.03)

9(5x + 1) ÷ 3y

From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)


p
0 words

Flag this Question
Question 74 pts
(06.04)

4x + 1 over 3 y2

What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)




hellllllp

Answers

Answer:

number one :

volume = LxWxH

as it is a cube all lengths are the same substitute the values in V= 14x14x14

exponent are when you multiply a value by itself for example 2x2 can be written as 2²

in this case , the answer would be option 1.14³


What is the value of x? Fill in the blanks.

Answer:
25 = ?
? 4x-4

( ? )(4x-4)=(20)( ? )

100x- ? = 600

100x = ?

X= ?


Answers

25 = 30

20 = 4x-4

(25)(4x-4) = (20)(30)

100x - 100 = 600

100x = 600 + 100

100x = 700

x = 7

Hope it helps!

Select all of the following that are true. *
sinA=18/30
sinA=3/5
cosA=10/6
cosA=8/10
cosA=5/3
tanF=24/18
tanF=3/4
tanD=3/4
sinD=18/30

Answers

Answer:

Step-by-step explanation:

sin A = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

cos A = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]

tan F = [tex]\frac{DE}{FE}[/tex] = [tex]\frac{24}{18}[/tex] = [tex]\frac{4}{3}[/tex]

tan D = [tex]\frac{FE}{DE}[/tex] = [tex]\frac{18}{24}[/tex] = [tex]\frac{3}{4}[/tex]

sin D = [tex]\frac{FE}{FD}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

Help plsss!!!! Thnk you!!!!

Answers

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)

2. What is 45% of 90?
O A. 40.5
OB 45
O 0.50
OD 200

Answers

Answer:

this would be the answer 40.5.

Take the 90 and multiply it by 45. Then multiply that by . 01.

what is the factored form of 5(8 + 3x) + 5? ​

Answers

Answer:

15(3+x)

Explanation:

5(8+3x+1)

5(9+3x)

5•3(3+x)

15(3+x)

The spinner below is divided into five equal-sized sectors. What is the probability that the spinner will stop on a number greater than 3?

Answers

Answer:

40%

Step-by-step explanation: If you have five equal-sized sectors, then the probability that the spinner will stop on 4 and 5 is 40%.

The probability that the spinner will stop on a number greater than 3 will be 0.4 or 40%.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

The spinner below is divided into five equal-sized sectors.

The probability of it stopping more than 3 = probability of stops at 4 + probability of stops at 5.

⇒ 1/5 + 1/5

⇒ 2/5 = 0.4

So, 0.4 x 100 = 40%

Hence "The probability that the spinner will stop on a number greater than 3 will be 0.4 or 40%".

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write a polynomial function with zeros -3,5,8​

Answers

Answer:

x^3-10x^2+x+120

Step-by-step explanation:

Assuming you mean roots -3, 5, 8

These happen when we have (x+3)(x-5)(x-8)=0

Expand this

(x^2-2x-15)(x-8)=0

=x^3-2x^2-15x-8x^2+16x+120

=x^3-10x^2+x+120

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