Jonathon has a collection of coins worth a total of $10.75. If he has one-fourth as many dimes as pennies, and two-thirds as many dimes as nickels, how many of each coin does Jonathon have?

Answers

Answer 1

The number of dimes, pennies and nickels are required.

The number of dimes is 50, pennies is 200 and nickels is 75.

Let the number of dimes be [tex]x[/tex]

From the question the number of dimes is one-fourth the number of pennies and two-thirds the number of nickels.

So,

The number of pennies is [tex]4x[/tex]

and number of nickels is [tex]\dfrac{3}{2}x[/tex]

1 nickel = 0.05$

1 penny = 0.01$

1 dime = 0.01$

Total value of the coins is $10.75

[tex]0.1x+0.05\times \dfrac{3}{2}x+0.01\times 4x=10.75\\\Rightarrow 0.215x=10.75\\\Rightarrow x=\dfrac{10.75}{0.215}\\\Rightarrow x=50[/tex]

The number of dimes is 50.

The number of pennies is [tex]4x=4\times50=200[/tex]

The number of nickels is [tex]\dfrac{3}{2}x=\dfrac{3}{2}\times50=75[/tex].

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Related Questions

I really need help with this it’s due tonight

Answers

A and D both look correct

Definitely not B and C because the signs are not correct
Yeah you should definitely go with A

20 divided by 4 1/2 i will give brainlist if u give me a step by step thank u.

Answers

Answer:

4 4/9

Step-by-step explanation:

20 ÷ 4 1/2 = 20 ÷ 9/220 ÷ 9/2 = 20 · 2/920 · 2/9 = 40/940/9 = 4 4/9

Therefore, the answer is 4 4/9.

Answer:

4 [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

20 ÷ 4[tex]\frac{1}{2}[/tex] = 20 ÷ [tex]\frac{9}{2}[/tex]

20 ÷ [tex]\frac{9}{2}[/tex] = 20 x [tex]\frac{2}{9}[/tex] = [tex]\frac{40}{9}[/tex]

[tex]\frac{40}{9}[/tex] = 4 [tex]\frac{4}{9}[/tex]

3 The diagram shows parallel lines a and b cut by
transversals cand d.
If mzi = 115° and m_8 = 105°, what is the measure of
each of the following angles?
56
87
4/3
9 10
13/14
b
Answer: mz5=
t
12 11
16/15
mZ11 =
m2 16 =
Curriculum Associates, LLC
Copring permitted for classroom use
Grade 8 Lesson 9 Understand Angle Relationships
hol narconnel anly Thic rochure ovires on 6/30/2003

Answers

Answer:get the government ewual

Step-by-step explanation:

You have to get the government equal

please someone help me with this. Giving brainliest!!

Answers

Step-by-step explanation:

option A is correct

we will add 5 to both the sides

1/8x - 5 = 3

1/8x = 8

than we will multiply 8 to both the sides

x = 8×8 = 64.

hope this answer helps you dear...take care abd may u have a great day ahead...and ur test/exam/assignment also go well!

please help me on this ​

Answers

Answer:

[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ = \frac{1}{ \sqrt{36} } \\ = \frac{1}{6} \\ {64}^{ \frac{1}{3} } \\ = {(4 \times 4 \times 4)}^{ \frac{1}{3} } \\ = { {4}}^{ {3}^{ \frac{1}{3} } } \\ = 4 \\ thank \: you[/tex]

the original price of a shirt was AED 175. A clothing store decides to sell all shirts at a 40% discount. what is the selling price of a shirt? ​

Answers

[tex] \huge\hookrightarrow \: \mathfrak{Answer }[/tex]

Original price = 175

Discount = 40%

Selling price :

[tex]175 - \bigg(\dfrac{40}{100} \times 175 \bigg)[/tex]

[tex]175 - \bigg ( \dfrac{40 \times 7}{4} \bigg )[/tex]

[tex]175 - ( 10 \times 7 )[/tex]

[tex]175 - 70[/tex]

[tex]105[/tex]

Selling price = AED 105

Which graph represents a function.

Answers

Answer:

one on bottom rght

Step-by-step explanation:

How would you write 43—% asa decima

Answers

43. Hope that helps

Answer:

if it's -43% it's -0.43. If it's 43% it's 0.43

Step-by-step explanation:

There are 329,000,000 people in the United States. Elon musk has a wealth equal to $164,000,000,000. Could Elon Musk afford to give everyone $1,000? Explain your answer.

Answers

Answer:

yes

Step-by-step explanation:

Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for k less than 6 hours

Answers

Answer:

72-12k

Step-by-step explanation:

Our information:

Speed=12mph

Distance=x

Time=K less than 6 hours

Using the distance triangle, (Distance over speed and time,) We can use this equation.

TxS=D

12x(6xk)=D

72-12k

The number of miles she can travel if she runs for k less than 6 hours will be 12k-172.

What is the distance?

Distance is a measurement of the separation between two things or places. When we talk about distance, we're talking about a physical length or an estimate based on other physics or practical usage factors.

It is given that,

Speed=12mph

Distance=x

Time, t= (K - 6) hours

The distance for the given condition is,

d = v × t

d = 12  (K - 6)

d = 12k - 72 miles

Thus, the number of miles she can travel if she runs for k less than 6 hours will be 12k-172.

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Help with Question B only! Thanks

Answers

Answer:

a) 4g

b) 60 beads

Step-by-step explanation:

Please see the attached picture for the full solution.

--------------


1+1


---------------

Answers

Answer:

2

Step-by-step explanation:

evaluate the series 2 + 4 + 8 + 16 + 32 + 64

Answers

The series is that each number is doubled and added to the next doubled number

Am I doing this right I’m trying to help my little brother with his math homework but I don’t remember how to do this and he wants me to use the “cake method” (LCM stands for least common multiple)

Answers

Answer:

The least common multiple is 30. Hope that helps!!

Step-by-step explanation:

the weekly average cost of hiring a caravan in wales is £250
in July the average cost increases to £800
calculate the percentage increase
give your answer in 2 signifcant figures

Answers

9514 1404 393

Answer:

  220%

Step-by-step explanation:

The percentage change is computed by ...

  % change = ((new value)/(old value) -1) × 100%

  = (800/250 -1) × 100% = (3.2 -1) × 100%

  = 220%

The increase was 220%.

how man times can 2 go intp 9

Answers

Answer:

4 times

Step-by-step explanation:

It goes in because 2+2+2+2=8 so you cant add 2 again or else it will go over so there for the answer is 4 times.

How do you do this question?

Answers

I’m pretty sure you do the formula x2+y2 y1+y2
X2+ X1. I hope this helps. Have a nice day!

HELPP!!

can someone tell me how to find the perpendicular line and the parallel line of an equation

EX. y=2x+4

Answers

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

Step-by-step explanation:

Jordan receives a 4% commission on the merchandise he sells at Foot Locker. How much would
Jordan have to sell to earn a commission of $100?

Answers

Answer: $2500

Step-by-step explanation:

4% of what number = 100

0.04 x ? = 100

divide both sides by 0.04

? = 100/ 0.04

  = $2500

Answer: $2500



Step by step Explanation:

The mass of a competition frisbee is 125g. Convert its mass to ounces using the unit conversion factor derived from the relationship 1oz = 28.349g

Answers

Answer:  i answered it the best way i could

The mass in ounces will be 4.40925 oz.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement.

Given that, the mass of a competition Frisbee is 125g

1 oz = 28.349 g

1 g = 1/28.349 oz

125 g = 125*1/28.349 oz

125 g = 4.40925 oz.

Hence, The mass in ounces will be 4.40925 oz.

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Could someone help me

Answers

Answer:

A: the answer is 10

B: the answer is 0.03

Step-by-step explanation:

Answer:

a is 10

b is 0.03

hope this helps


a) Work out the value of 19 + 7 divided 2-5

Answers

19+3.5-5 [ Dividing 7 with 2 yields 3.5].

Answer:

17.5

Step-by-step explanation:

19+7÷2-5

Order of operations says to multiply and divide before adding and subtracting.

19+3.5-5

Then go from left to right.

22.5-5=17.5

Solve
x2 + 11x + 30 = 0

Answers

Answer:

x = - 5, - 6

Step-by-step explanation:

x^2 + 11x + 30 = 0

x^2 + 5x + 6x + 30 = 0

x ( x + 5 ) + 6 ( x + 5 ) = 0

( x + 6 ) ( x + 5 ) = 0

x + 6 = 0

x = - 6

x + 5 = 0

x = - 5

Kaily is making punch for her party. She adds 1 bottle of ginger ale for every 2 gallons of punch. Which graph represents the ginger ale to punch?

Answers

Answer:

f

Step-by-step explanation:

each time it goes to the side (punch) once, it goes up (ginger ale) twice

If f(x)=(x-3)^2, find f(-4)

Answers

Solution:Given, f(x) = (x-3)^2Therefore, f(-4) = (-4-3)^2= (-7)^2= -7 × -7= 49Answer:

f(-4) = 49.

49

Step-by-step explanation:

f(x) = (x - 3)²

f(-4) = (-4 - 3)²

f(-4) = (-7)²

f(-4) = 49

please, someone, help me with this. Im giving brainliest!

Answers

Answer:

2x-10=14

2x=10+14

2x=24

x=24/2

x=12.

i guess it cant have infinite solutions.........

false.

5(2x-1)+2(4x-3) help i don't know if the answer is 0.5 or -0.5

Answers

Answer: I got .61 .... so .5?

Step-by-step explanation:

Answer:

The simplified version is 18x - 11 since you didn't state further information

Step-by-step explanation:

[tex]5(2x-1)+2(4x-3) \\ 10x - 5 + 8x - 6 \\ 18x - 11[/tex]

A stack of books in 59 inches high how high is it in feet and inches

Answers

Answer:

See down bro

Step-by-step explanation:

4 feet

11 inches

when is it a good idea to round number? When is it not a good idea?

Answers

Good idea to round the number is when the question asks you to round the number and it’s not a good idea when your instructed not to round the number

what percent of 500is 120

Answers

Answer:

24%

Step-by-step explanation:

Hope this helps :)

Answer:

24% of 500 is 120...........

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