A jar is filled with quarters and nickels in the ratio 1 2/5 to 2 1/3. If there are 24 quarters in the jar, what is the ratio in dollar value of quarters to that of the nickels???

Answers

Answer 1

Answer:

  3 : 1

Step-by-step explanation:

The ratio of coins is ...

  1 2/5 : 2 1/3 = 7/5 : 7/3 = 3 : 5

The quarters have 5 times the dollar value of nickels, so the ratio of dollar values is ...

  5(3) : 5 = 3 : 1

The quarters have 3 times the dollar value of the nickels.

__

Additional comment

The number of nickels is 5/3 times the number of quarters, so is 5/3(24) = 40.

The dollar value of the quarters is 24($0.25) = $6.

The dollar value of the nickels is 40($0.05) = $2.

As above, the ratio of dollar values is 6:2 = 3 : 1.

__

There are a few different ways to compute the ratio of fractions. The one we used here may be a little unusual. All are equivalent.

  [tex]\bullet\quad\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}\qquad\text{"invert and multiply"}\\\\\bullet\quad\dfrac{a}{b}\div\dfrac{c}{b}=\dfrac{a}{c}\qquad\text{ratio of numerators with the same denominator}\\\\\bullet\quad\dfrac{a}{b}\div\dfrac{a}{c}=\dfrac{c}{b}\qquad\text{inverse ratio of denominators with the same numerator}[/tex]


Related Questions

PLZ ANSWER AS SOON AS YOU CAN!!!!!!!!!!!
The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25

Hector's Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22

Part A
Are the numbers of white and yellow flowers in Cara's arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
A. Yes; y=35w
B. Yes; y=53w
C. No; y=3w+5w
D. No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A. Yes; e=32h
B. Yes; e=23h
C. No; e=h+2
D. No; e=h−2

Answers

Answer:

Part A - Yes; y=5/3w        Part B - No; e=h+2

Step-by-step explanation:

The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements            Proportional

White 3 6 9 12 15

Yellow 5 10 15 20 25

Hector’s Flower Arrangements          Not Proportional

White 4 8 12 16 20

Yellow 6 10 14 18 22

Part A

Are the numbers of white and yellow flowers in Cara’s arrangements proportional?

Which equation relates the number of white flowers, w, to the number of yellow flowers, y?

Yes; y=3/5w

Yes; y=5/3w CORRECT ANSWER

No; y=3w+5w

No; y=5+3w

Part B

Are the numbers of white and yellow flowers in Hector’s arrangements proportional?

Which equation relates the number of white flowers, h, to the number of yellow flowers, e?

Yes; e=3/2h

Yes; e=2/3h

No; e=h+2 CORRECT ANSWER

No; e=h−2

They are correct because Part A is 1.666667  thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.

A and C I’m pretty sure about, listen to the other person above me!

(PLEASE HELPP) The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11, while the number of 5th graders to that of the 6th graders was 13 to 9. By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

Answers

Answer:

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Step-by-step explanation:

I am going to say that:

x is the proportion of 5th graders.

y is the proportion of 6th graders.

z is the proportion of 7th graders.

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11

This means that:

\frac{y}{z} = \frac{4}{11}

z

y

=

11

4

So

11y = 4z11y=4z

y = \frac{4z}{11}y=

11

4z

The number of 5th graders to that of the 6th graders was 13 to 9.

This means that:

\frac{x}{y} = \frac{13}{9}

y

x

=

9

13

9x = 13y9x=13y

x = \frac{13y}{9}x=

9

13y

All of them is 100%

This means that:

x + y + z = 1x+y+z=1

We need to find z.

y = \frac{4z}{11}y=

11

4z

x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=

9

13y

=

9∗11

13∗4z

=

99

52z

Then

x + y + z = 1x+y+z=1

\frac{52z}{99} + \frac{4z}{11} + z = 1

99

52z

+

11

4z

+z=1

The lcm(least common multiple) between 11 and 99 is 99. Then

\frac{52z + 9*4z + 99z}{99} = 1

99

52z+9∗4z+99z

=1

187z = 99187z=99

z = \frac{99}{187}z=

187

99

z = 0.5294z=0.5294

By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

z(7th graders) is 52.94%.

x + y(5th and 6th graders) is 100 - 52.94 = 47.06%

52.94 - 47.06 = 5.88

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

What is the value of m?



13.78 – m = 9.13

Answers

Answer:

4.65

Step-by-step explanation:

13.78 - m = 9.13

13.78 - 9.13 - m = 0 (subtracting 9.13 from both sides)

m = 13.78 - 9.13  (adding m to both sides)

m = 4.65

Answer:

m=22.91

Step-by-step explanation:

13.78+9.13=22.91

what is 1+1-1 plssssssssssssssssssssssssssssssss its a test and its impossible to solve

Answers

Answer:

1

Step-by-step explanation:

1+1 =2

and 2-1=1

since the 2 is a bigger no. 1 got the sigh of +

Mrs. Parker has a small garden in her backyard. The total area of her garden is 3.5 square meters. The length is 5 meters.


What is the width of Mrs. Parker’s garden?
A.
0.7 meters
B.
70 meters
C.
0.07 meters
D.
7 meters

Answers

Answer:

B. 0.7

Step-by-step explanation:

3.5/5=0.7

A! If you work backwards, 5*0.7=3.5 or 3.5/5=0.7

−2.4(m−2/3)=−9
Please help! I can't figure it out!

Answers

Answer:

−2.4(m−2/3)=−9  First you do the problem inside the parenthesis. Then figure out the answer for that and then -2.4 with whatever the answer was. then you will have the answer

Step-by-step explanation:

hope this hels

Answer: 4.416 (the 6 should have a line on top to show it goes on)

Step-by-step explanation:

720x + 10 = 2170
What is x?

Answers

Answer:

x = 3

Step-by-step explanation:

720x + 10 = 2170

=> 720x = 2160

=> x = 3

Hoped this helped.

Answer:

x = 3

Step-by-step explanation:

First subtract 10 from 2,170 to get 2,160.

Next isolate the x variable by dividing 720 on both sides to get x = 3.

Hope this helps you :)

Please help me find all choices that apply to the question

Answers

Answer:

which question

Step-by-step explanation:

The total length of fabric needed is 375 m.

65% of 375 meters can be written as 0.65× 375 m = 243.75 m

The length of fabric still needed is 375 m − 243.75 m =

___m

Answers

Answer:

375 - 243.75 = 131.25

Step-by-step explanation:

The length of fabric still needed is 131.25 m.

Hope this helped!

What does -3 ⅕ < 1 ⅗ indicate about the positions of -3 ⅕ and 1 ⅗ on a number line? Rewrite the statement using absolute value. Use the number line below to help.

Answers

the answer is a

i did the quiz

100% sure that it is A like the other person said

Which fraction and decimals forms match the long division problem?

Answers

Answer:

A

Step-by-step explanation:

the numerator always goes into the dividend, and in this case the dividend is 7, so 7/9 is correct rather than 9/7. and the decimal form is 0.7777777+ it is not 0.7 because the question keeps adding zeros when the whole number is supposed to be 7, not 7.000. hope that helps.

The answer is A because when you divide the numerator in to the denominator you get what you have there so 7 divide 9 is equal to 7/9!

HELP ME PLZZZZ. I don’t know!!

Answers

Answer:

w=-6

Step-by-step explanation:

-2(-6)>-4

12>-4

This is true.

w=2 it’s the last one just divide -2 under -4

Calvin digs a hole at a steady rate of 1(1)/(3) feet every hour.
Consider ground level to be 0 .
What value represents the elevation of the hole relative to ground level after digging for 2(1)/(2) hours?
Enter your answer as a simplified mixed number in the box.

Answers

Answer:

3 1/3 feet

Step-by-step explanation:

Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.

Hope this helps :)

Simplify the expression. Drag and drop a number into each box to complete the simplification.


8 × (30 ÷ 15)2 + 3 = 8 × (___)2 + 3

= 8 × ___ + 3

=____ + 3

=____


numbers to drag and drop: 51, 32, 38, 4, 35, 2

Answers

Answer:

8 × (30 ÷ 15)2 + 3 = 8 × (2)2 + 3

= 8 × 4 + 3

=32 + 3

=35

Step-by-step explanation:

Answer: 35

Step-by-step explanation: Mark brainiiest please

A chemist is using 389 milliliters of a solution of acid and water. If 14.6 of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.

Answers

Answer:

389 - 14.6 = 374.4

Step-by-step explanation:

374.4 milliliters of acid are in there.

389
-14.6
———
374.4


374.4 milliliters

Need help will give brainleist

Answers

A because you would have to multiply 5x2x8x10

Answer:

B 5*2*8

Step-by-step explanation:

To calculate the volume multiply the 3 dimensions together. you don't use the diagonal.

Compare.

A. <
B. >
C. =
D. cannot be solved

Answers

well, change 15/4 into a decimal, 3.75. And now, we can see which is greater. Considering the wholes, 2 and 3,   3 is greater than 2, so it would be 2.2 < 15/4.

So, basically A I think.

It’s A. <
No 15 over 4 is more than 2.2!
Hope this helps

how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?

Answers

Answer:

7.5 gallons

Step-by-step explanation:

2.5/5+x=0.2

This question is based on the concept of solving an  equation. Therefore, 7.5 gallons of water would be added to 5 gallons of 50% acid solution to get a 20% solution.

Given:

5 gallons of 50% acid solution to get a 20% solution.

According to question,

Let  it be x gallons of water should be added to 5 gallons of 50% acid solution to get a 20% solution.

Now, forming the equation, we get,

 0.50 ( 5 )  =  0.20  ( x + 5 )

Simplifying the equation.

We get,

2.5 = 0.2x + 1

1.5 = 0.2 x

x = 7.5

Therefore, 7.5 gallons of water would be added to 5 gallons of 50% acid solution to get a 20% solution.

For more details, please prefer this link:

https://brainly.com/question/21105092

One mom has 3 children, and each child attends a different level of school. If the mom plans to pick her children up, what would be her total distance traveled if she starts at the high school, then goes to the elementary school, and finally the middle school? (Write your answer as a decimal rounded to the nearest tenths place). *

Answers

Can you give a picture so I can know how far the schools are
Yeah I need a picture to see the distances

Pls help me with this math.

Answers

Michael made the first error when he did not do +10 on both sides in step 2 (he did not change the sign of -10 to +10 on the right side).
Micheal made the first error you can make sure by doing 186261 divided by 3

A right triangle has sides of length 3, 4, and x. Find x if it is the hypotenuse.

HELP ME PLEASE

Answers

Answer:

5

Step-by-step explanation:

The rules for the hypotenuse is side a^2+side b^2=hypotenuse^2

a=3

b=4

3^2=9

4^2=16

9+16=25

5^2=25, so 5 is the hypotenuse.

:)

help is very much needed thxs

Answers

Answer:

Step-by-step explanation:

PLZ HELP AS SOON AS POSSIBLE!!!!!!!!! WILL GIVE LIKE, 5 STARS, & BRAINLIEST; THE WHOLE SHEBANG;
Part 1
Meg is a veterinarian. She found that 5 or, 50% of the dogs she saw this week were boxers. Steve is also a veterinarian. He found that 50% out of the 2 dogs he saw this week were boxers. Does each person need to find the​ part, the​ whole, or the​ percent?
Question content area bottom
Part 1
Meg needs to find the

percent.
part.
whole.
Part 2
Steve needs to find the

percent.
part.
whole.

Answers

Answer:

a. Meg needs to find the part

b. Steve needs to find the percent.

Step-by-step explanation:

A. Does Meg need to find the part, the whole, or the percent.

Meg already knows the whole and the percent.

The whole is the entire number of dogs seen: 16 dogs.

The percent is 50%.

Hence, she needs to find the part: this is how many (what part) of the 16 dogs she saw were boxers.

And she can do with a simple operation:

Part = whole × percent = 16 × 50% = 8. This is 8 dogs of 16 were boxers.

B. Does Steve need to find the part, the whole, or the percent.

He already knows the part (7 of the 35 dogs were boxers) and the whole (35 dogs).

Then he needs to find the percent, which he can do using the next operation:

Percent = (part / whole) × 100 = (7/35)×100 = 20%

Step-by-step explanation:

Part 1:

Meg needs to find the whole as 50% of the dogs = 5 therefore 100% equals 10 dogs.

Part 2:

Steve saw 50% out of two dogs meaning that he only saw 1 dog that is a boxer.

A holiday meal cost $12.50 a person plus a delivery fee of 30$. Which equation is right?

1. y=30+12.50x
2. y= 12.50+30
3. 12.50x=30
4. y=12.50+30x

Answers

Answer:

1. y = 12.50x + 30

Step-by-step explanation:

A holiday meal cost $12.50 a person plus a delivery fee of 30$

Let x = number of people ordering a meal and y = total cost

It cost 12.50 per person so the cost regarding the number of people that orders food can be represented by 12.50x.

There is also a $30 delivery fee.

So the total cost would (y) = 12.50x + 30

The answer would be 1. 12.50 and 30 just swapped places.

y=12.50x= 30
i’m not sure if i’m wrong or right

You make 12 equal payments for a go-kart. You pay a total of $1380. How much is each payment? The quotient is ______. So, each payment is ___________.

answer plz

Answers

Answer:

115; 115

Step-by-step explanation:

In this case, 1380 is the dividend, 12 is the divider, and the answer is the quotient. Thus we get the quotient, or each payment, is 1380/12=115

Each payment is 115 1380/12

Bob's pluming charges $25 per hour plus a service fee of 40$ for coming out to your house. Which equation is right?

1. y=25x
2. y=25x+40
3. y= 40x+25
4. y=25x-40

Answers

Answer is y=25x+40
Because for x hours it takes bob to finish the you pay 25$

I need halp plz, no incorrect

Answers

Shape: Rectangle
Area: (Length) x (Width)
Perimeter: 2(Length) + 2(Width)
(SHOWED WORK IN PICTURE)
The guy above me I right

What is 35x 1 ? OMG this is such a hard question!! first one to answer will get a brainliest!!!

Answers

Answer:

its 35

Step-by-step explanation:

351 obviously :) its quite simple lol

A. 6 m
B. 9 m
C. 12 m
D. 15 m

Answers

I think this would be 12
The correct answer is 15m

What is the greatest common factor of 70 and 33?

Answers

Answer: 1

Step-by-step explanation: 1 is the greatest common factor of 70 and 33.

1 is the greatest number that 33 and 70 divides into.
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