Vern has a collection of pennies, nickels, and dimes. The ratio of the number of pennies to the number of nickels is $9:2,$ and the ratio of the number of nickels to the number of dimes is $3:4.$ If the total worth of Vern's collection is $\$10.96,$ then how many coins do they have in total?

Answers

Answer 1

Let  be the number of pennies,  be the number of nickels, and  be the number of dimes that Vern has. The given ratios tell us that  and  Therefore,  so we haveTo turn this into a ratio of integers, we multiply every part of the ratio by  Doing this, we see that Therefore, we can think of Vern's collection as consisting of several groups, each of which contains  pennies,  nickels, and  dimes. Let  be the number of such groups of coins that Vern has. Then Vern has  pennies,  nickels, and  dimes. Since a penny is worth  cent, a nickel is worth  cents, and a dime is worth  cents, the total worth of Vern's coins in cents is  However, we know Vern has  or  cents, so we can write an equation:Simplifying the left-hand side, we get  Dividing both sides by  we get  This tells us that Vern has  groups of  coins, for a total of  coins.

328


Related Questions

Can someone please help me with this question

Answers

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

Answer:

76° , 76° , 104°

Step-by-step explanation:

(a)

∠ 2 and ∠  3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 6 and ∠ 3 are alternate angles and are congruent , then

∠ 6 = 76°

(c)

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then

∠ 8 = 180° - 76° = 104°

what is 3x + 4y = 10

6x - 4y = 8

Answers

Answer:

x=2

y=1

Step-by-step explanation:

9x+0=18

so it's x=2

6=4y=10

so y=1

Write the inequality that represents the solution set to the given inequality below.

|x−3|<15

Group of answer choices

12 x>−18


−12>x>18

Answers

Answer:

-12 < x < 18

Step-by-step explanation:

x-3 < 15

x < 18

and

-x + 3 < 15

-x < 12

x > -12

what is the slope of the line tha passes through the points (4,-9) and (8,-3)

Answers

the slope of this line is 3/2

please help i'm stuck and it's a unit test if correct i will give brainiest
Which inequality represents this statement?
A number is no more than 5.

a. n≥5

b. n<5

c. n>5

d. n≤5

Answers

Answer:

d. n≤5

Step-by-step explanation:

This is the answer

Answer:

D) n≤5

Step-by-step explanation:

No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.

A triangle has two sides of length 2 and 18. What is the largest possible whole-number length for the third side?

Answers

Answer:

19

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

18 - 2 < x < 18 + 2

16 < x < 20

Then the largest possible length of the third side is 19

A carton of a orange juice is in the sahpe of a cuboid. It has a height of 20cm lenght of 12cm and depth of 8cm. The depth of the orange juice is 6cm.the carton is turned so that it stands the shaded face.Work out the depth of the orange juice.

Answers

Answer:

4cm

Step-by-step explanation:

The area of the base will be doubled 60[tex]cm^{2}[/tex] to 120[tex]cm^{2}[/tex]

Archie and Michael are helping their friend George move the washers and dryers from his laundromat to a larger building. Archie's truck is carrying three washers and four dryers that have a combined mass of 1260 kg Michael's truck is carrying two washers and three dryers that have a combined mass of 880 kg.
How much does one of George's washers weigh?​

Answers

Answer:

A

Step-by-step explanation:

Yes

Jason has $45.00. He wants to buy equal numbers of soft drinks and sandwiches. A soft drink costs $0.79. A sandwich costs $2.49.


Part A


How much does a sandwich and drink cost together?


$



Part B


How many can he buy with $45.00?




soft drinks and

sandwiches


​Part C


How much change will Jason get?


​$

Answers

Answer:

Step-by-step explanation:

How much does a sandwich and drink cost together?

($0.79 + $2.49) = $3.28

How many can he buy with $45.00?

$45/$3.28 = 13.72 or 13 sandwich/soda combos.

 

13 soft drinks and  

13 sandwiches

How much change will Jason get?

$45 - 13($3.28) = $2.36

ASAP help 50 points Please hurry

Answers

Answer:

Step-by-step explanation:

Y=7

Let it be x

[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{150+150}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{300}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{2}{280}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{1}{140}[/tex]

[tex]\\ \sf\longmapsto x=140ft[/tex]

Company A: A 2-column table with 5 rows. The first column is labeled hours with entries 5, 12, 20, 29, 42. The second column is labeled earnings (dollar sign) with entries 340, 404, 460, 530, 630. Company B: A 2-column table with 5 rows. The first column is labeled hours with entries 4, 9, 20, 32, 39. The second column is labeled earnings (dollar sign) with entries 125, 234, 450, 668, 828. If Amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? Explain your answer. Company A: Using linear regression models from both data sets, she determines that it pays about $14 more. Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more. Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.

Answers

Answer:

86 & tends to increase

Step-by-step explanation:

Goodluck :)

Answer:

Company B: Using linear regression models from both data sets, she determines that it pays about $10 more.

Step-by-step explanation:

C/3

Please help
Me solve this ASAP

Answers

Answer:

i dont know it looks complicated

Step-by-step explanation:

copy paste then search it, you might find it.

--
△XYZ = △KLM,m Find m

Answers

Answer:

<m is equal to the measure of <Z

_______________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning form them:)

Write the equation for the line in slope intercept form

Answers

Answer:

y = -x + 5

Step-by-step explanation:

lmk if you want an explanation

change percentage to a decimal
52 %
319%
7.9%
4/5%
3 7/8%
6 2/3%

2.
There are six bottles of water. Each bottle contains 0.65 L of water. The capacity of a cup is 0.26 L.How many cups can you fill with all the water.

3.
30.8 m of cloth is needed to make 7 shirts. What is the length needed to make 16 shirts

4.
Mrs Wong buys 0.6 kg of fish balls for $15. Mr Chan buys 0.5 kg from the same shop how much should he pay?
5.
every 0.35 L of mango drink is made of 0.14 kg of mangoes and some soda . Connie wants to buy 3.75 L of mango drink . How many kilograms of mangoes dose she need

Answers

Answer:

52%=0.52

319%=3.19

7.9%=0.079

4.5%=80

37/8%=4.652

62/3%=20.67

2. 15 cups

3. 70.4m

4. $12.5

5.

Step-by-step explanation:

52%=52/100=0.52

319%=319/100=3.19

7.9%=7.9/100=0.079

4/5%=(4/5)/100=4/5×100=80

37/8%=4.(5/8)=4.652

62/3%=20.(2/3)=20.67

1 bottle holds 0.65L

1 cup holds 0.26L

6 bottles hold (0.65×6) =3.9L

n cups hold 3.9L

0.26n=3.9

n=3.9/0.26

n=15

30.8m make 7 shirts

ym make 1 shirt

7y = 30.8

y = 4.4m

1 shirt needs 4.4m

16 shirts need 16×4.4=70.4m

0.6kg cost $15

1kg costs $b

0.6b=15

b=$25

1kg costs $25

0.5kg cost (25×0.5)=$12.5

The point (-5,0) is plotted on a coordinate plane.
What is the point of reflection when (-5,0) is reflected across the y-axis?
A-(0,5)
B-(-5,0)
C-(0,-5)
D-(5,0)

Answers

[tex]\huge\boxed{Hello! :)}[/tex]

We plot the point (-5,0) on the coordinate plane.

Then, we reflect it over the y-axis.

Remember the rule:

If a point has coordinates (x, y), and the point is reflected over the y-axis, the new point's coordinates are: (-x,y)

Let's use this rule now.

We reflect (-5,0) over the y-axis.

(-5,0)

The new point is: (5,0)

[tex]\huge\boxed{(5,0) \: is \: the \: answer. :)}[/tex]

(Option D)

[tex]\boxed{Felicitous\: Girlie\: here\: to\: help}[/tex]

A 14​-oz iced tea at a certain restaurant has 140 calories. How many calories are there in a 22​-oz iced​ tea?

Answers

Answer:

220 calories

Step-by-step explanation:

Cross multiply and then divide:

[tex]\frac{14}{22}= \frac{140}{x}[/tex]

140 x 22 = 3080

3080 / 14 = 220

Use the properties of operations to write an expression equivalent to 4x+1/2+2x-3. Please include explanations. Thanks!

Answers

Answer:

[tex]6x -2\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]4x + \frac{1}{2} + 2x - 3[/tex]              Addition of like terms

[tex]6x + \frac{1}{2} - 3[/tex]                      Addition of content terms  

[tex]6x -2\frac{1}{2}[/tex]

Gillian can jog 100 metres in 24 seconds. How long will it take her to jog 2 km?

Answers

Answer:

8 minutes or 480 seconds

Step-by-step explanation:

1 km = 1000 m

100x20=2000

24 x 20 = 480

480/60 = 8

Answer:

Step-by-step explanation:

What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.

Answers

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

The slope of the line perpendicular will be m  -1/-1  = 1.

Given the point (-1.5, 3.5)

Substitute the slope and the point into the point-slope form of the equation expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]

Hence the required equation of a line perpendicular is y = x + 5

Learn more on equation of a line here: https://brainly.com/question/19417700

A farmer decides to make three identical pens with 88 feet of fence. The pens will be next to each other sharing a fence and will be up against a barn. The barn side needs no fence. What dimensions for the total enclosure (rectangle including all pens) will make the area as large as possible?

Answers

Answer:

The long fence, AC = 44 feet

4 shorter segments at 11feet each = 44 feet

Area = 484 ft^2

Step-by-step explanation:

The three pens will share one fence section parallel to the barn, we'll call it AB.  Each pen will need two side fence segments, from the front fence to the barn.  We'll call those portions AC.  We need four of them:  two for the outer sides and two more to divide up the space equally among the three pens.  The total area would be AB*AC.

We know that AC + 4AB = 88 feet.

or AC = (88feet - 4AB)

Area = AB(88feet - 4AB)

Area = 88AB - 4AB^2

To maximize the area, we can take the first derivative and set it equal to zero:

Area' = 88 - 8AB

0 = 88 - 8AB

AB = 11 feet

AC = (88 - 4AB)

AC = (88 - 44)

AC = 44 feet

The fours segments of fence:  

AC + 4AB = 88 feet

(44) + 4(11 feet) = 88feet

Area = 44' x 11 ft' = 484 ft^2

the LCM and GCF of 66 and 101

Answers

Answer:

GCF: 1

LCM: 6,666

Step-by-step explanation:

I hope this helps!


Each batch of 24 cookies needs 2.25 cups of flour. If Stacy and her mom bake 3.5 batches, how much flour is
needed?
Show work !

Answers

Answer:

7 7/8 cups of flour

Step-by-step explanation:

2.25 times 3.5 equals 7.875

What is the solution to the system of equations?

Answers

Answer:

a set of values for the variable that satisfy all the equations simultaneously.

Step-by-step explanation:

search it

21²/0.219 to 2 significant figures​

Answers

21^2/0.219 = 2013.69863
2 significant figures are the 20, so the answer is 2000
The answer is 2000…..

Plz help brainiest to the correct answer!

Answers

Here’s the answer to your questions.

#1

Current temperature=0°C

Temperature before 1 hour

[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]

#2

Temperature before 3h

[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]

#3

Temperature before 4.5h

[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]

what does x equals to if 3( x + 7 ) =57

Answers

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?

Answers

Answer:

3

Step-by-step explanation:

i'd say 3

i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want

good luck! <3

Find the missing base.
Write your answer as a whole number.
?^2=36

Answers

Answer:

6

Step-by-step explanation:

6^2 = 36

hope this helps! :D

have a miraculous day!! <3

The diameter of the sun is about is about 1 390 000 km;

use scientific
notation to represent this diameter.

Answers

Answer:

1.39×10^6

Step-by-step explanation:

Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use

Other Questions
a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses?????? Evaluate.10 3/4 plus 8 3/4 subtract 6 1/2 Evaluate each expression rbol Factorial de 48 I need this solved as c.l.t6=n-2n What challenges have Argentina, Peru, and Chile faced in their paths toward democracy and stronger economies? Include at least one example from each country in your response. Find all missing angles. The price of a notebook in 2012 is $2000. In 2013, its value decreased by 30%. In 2014, its value decreased by 30% of its value in 2013. Find the value of the notebook at the end of 2013 I dont get it, pls help me During the 1920s and 1930s, sociologists interested in urban life developed an approach to the study of cities called urban ecology. Please select the best answer from the choices provided. T F. I need the answers and explanation to a b c and d which car can travel furthur on one gallon of gas/ green car 18.4 miles on 0.8 gallons or black car 17.4 miles on 0.75 gallons A number x is no less than 18 The perimeter of a rectangular field is 292 yards. If the width of the field is 55 yards, what is its length?nyards what is the percent increase from 1 to 6 10+8x > 2 Solve each inequality HELP ME PLEASE(NO LINKS PLEASE FOR REAL NO LINKS)In the acronym APACT, the first "A" stands for author. Do you need to know the author's name?A. yes, because you cannot use them as a source if you don't know the author's nameB. yes, because you may want to contact the authorC. no, because all of the information will have your name on itD. no, not if the information is from a reputable university You need to buy new soil for your garden. Find the area of the garden. Use the dimensions shown in the picture.A triangle with side lengths 16.75 meters, 11.5 meters, and 19 meters. The height of the triangle is 10 meters.CLEAR CHECK95 square meters190 square meters47.25 square meters57.25 square meters Can someone please help me find some problems with Southwest Asia I need to find them please for my article! Which definition for the word hypothermia can be determined using context clues from this passage? Prolonged exposure to cold can cause a serious health condition known hypothermia. Other dangers also exist in an wilderness environment including attacks by wild animals, falling tree limbs, and the minor cuts, scrapes and abrasions that can happen to just about anyone!a dangerous fall that causes injurya very low body temperaturesevere mental confusion or disorientationshort-term memory loss