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

Use the distributive property to remove the parentheses.
3(6-y)

Answers

Answer:

18-3y.

Step-by-step explanation:

3 x 6 = 18

3 x -1y= -3y.

Answer:

18 - 3y

Step-by-step explanation:

3(6-y)

(3)(6) + (3)(-y)

18 + (-3y)

18 - 3y

The science club has 25 members and 40% of the girls how many girls are in the science club

Answers

Answer:

Step-by-step explanation:

25*40/100 = 10

Answer: 10

Step-by-step explanation:25*0.4=10

Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit

Answers

Answer:

It's probably B

Step-by-step explanation:

Someone help me with this for BRAINLIEST thank you!

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, please feel free to ask in the comment section.

[tex]x+y =6 ~~~.....(i)\\\\x =3y -2~~.....(ii)\\\\\text{Substitute}~ x =3y-2~ \text{in equation (i):}\\\\\\3y -2 +y =6\\\\\implies 4y = 6+2\\\\\implies 4y = 8\\\\\\\implies y =\dfrac 84 =2\\\\\text{Substitute y =2 in equation (ii):}\\\\x = 3(2) -2\\\\\implies x = 6-2 =4\\\\\\\text{Hence,}~ (x,y) = \left(4, 2\right)[/tex]

Jenny's great grandmother is 95 years old.
Jenny is 12 years old.
What percent of Jenny's great grandmother's age is Jenny's age?

Hurry! Worth a lot of points!

Answers

Think of it as 12/95. 12.63

Write an expression for 5 times the difference of twice a number and 4

Answers

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

what does relatively prime mean in math?

Answers

Answer:

When two numbers have no common factors other than 1.

Step-by-step explanation:

In other words there is no value that you could divide them both by exactly (without any remainder).

21 and 22 are relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 22 are 1, 2, 11 and 22

(the only common factor is 1)

But 21 and 24 are NOT relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

(the common factors are 1 AND 3)

Relatively Prime is also called "coprime" or "mutually prime".

Here we see that 12 and 16 are NOT relatively prime

List all the angle measures from least to greatest.

From the three triangles

Answers

Answer:

40°, 43°, 60°

Step-by-step explanation:

In each triangle, you are given the measures of two angles. Subtract those two measures from 180° to find the measure of the third angle.

Triangle A:

c = 180° - 90° - 50°

c = 40°

Triangle B:

c = 180° - 112° - 25°

c = 43°

Triangle C:

c = 180° - 70° - 50°

c = 60°

please please i beg for help omg

Answers

The goal is to make the bases the same and so 27 can become 3^3
3^5x = 3 ^ 3(2x-4)
This becomes
3^5x= 3 ^6x-12
Now that the bases are the same, set the exponents equal to one another
5x= 6x-12
Subtract 6x on both sides
-x= -12
Divide -1 on both sides
X=12
#brainliest????

Answer:

x = 12

Step-by-step explanation:

First:

[tex]27=9*3=3*3*3=3^3[/tex]

If you rewrite the 27 into base 3 like that:

[tex]3^{5x}=3^{(3)\times(2x-4)[/tex]

Now that both sides have the same base, you can cancel them out. This is the simplest example of that I can think of:

[tex]2^x=2^x[/tex]

Here, the exponent obviously has to be equal for this to be true, right? The exponents do have to be equal, so you can drop the bases completely:

[tex]x=x[/tex]

Same for the problem we have above. It's a base 3 on both sides, and for them to be equal, the exponents also have to be equal.

[tex]3^{5x}=3^{(3)\times(2x-4)}\\5x=(3)\times(2x-4)\\5x=3(2x-4)[/tex]

Now, you can simply solve for x.

[tex]5x=6x-12\\-1x=-12\\x=12[/tex]

can someone pllsss help :((
What is the area?

7 square feet
11 square feet
9 square feet

Answers

Answer:

7 square feet

Step-by-step explanation:

There are seven squares, one is 1 square foot

7x1=7

5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)

Answers

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

How would you graph the solution set of x - 2 > 5?

Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.

Answers

open circle on 7 shaded to the right

I need help answering asap!

Answers

Answer:

4 is. R=11.94 D= 23.88

5 and 6 I am not sure tbh

7 D=60.50 R=30.25

8 D=60 C=120

orignal price on a comb 0.99 discount 55%

Answers

Answer:

I think 5.45?  Sorry, not the best at math

Step-by-step explanation:

if you get a 55% discount off of 0.99 cents you pay 0.45 $

you're saving 0.54 $

Identify all of the congruent corresponding parts. Then, write a congruence statement.

Answers

Angle C is congruent to angle S. Angle B is congruent to angle R. Angle A is congruent to angle D. Line AB is congruent to angle DR. Angle BC is congruent to angle SR. Angle AC is congruent to angle DS. There is nothing congruent in the single triangles but the triangles are congruent to each other.

Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10
text to her friend per period. How many periods will it take Viviana to send 200 text
messages?

Answers

Answer:

20 More Periods

Step-by-step explanation:

Just Divide 200/10 and you get 20.

There are 750 calories in ten ounces of a certain ice cream. How many calories are
there in three pounds?
1 pound = 16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of
calories for?
try
You must answer all questions above in order to submit.
attempt 1 out of 2


Help me solve this PLEASE?

Answers

I think the first is 225 and second is 75 i’m so sorry if this is wrong this is so confusing
Answer:  3600 calories

Work Shown:

1 pound = 16 ounces

3 pounds = 48 ounces (multiply both sides by 3)

Based on that, we can then say,

(750 calories)/(10 ounces) = (x calories)/(48 ounces)

750/10 = x/48

75 = x/48

x/48 = 75

x = 48*75

x = 3600

initial value on this table

Answers

Answer:correct me if I’m wrong but it’s 0.

Step-by-step explanation:

85-51=34. 34

—————=. —————=17

5-3. 2

And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)

Answers

Answer:

  (1, 3), (2, 6), (3, 9)

Step-by-step explanation:

Dividing the first given ratio by 7 gives ...

  7/7 : 21/7 = 1 : 3

Multiplying this by 2 and 3 gives the other ratios you want.

  = 2(1) : 2(3) = 2 : 6

  = 3(1) : 3(3) = 3 : 9

The equivalent ratios are (1, 3), (2, 6), (3, 9).


Find the product
(-2) (7)

Answers

Answer:

-14

Step-by-step explanation:

Remember that a negative times a positive is negative:

(-2)(7) = -(2)(7) = -14

-14; because + and a negative equal a negative

N/2-11<-7 solve the 2 step inequality

Answers

Answer:

N<6

Step-by-step explanation:

Add 11 to both sides then multiply by 2

Please help I need work shown!!

Answers

3x-11=2x+11

x=22

3x-11=55

2x+11=55

55+55+2y=180

2y=70

y=35

x=22 , y=35

Ok done. Thank to me :>

2,826 rounded to the nearest tenth

Answers

Answer:

2,830

Step-by-step explanation:

The value of a small airplane depreciates exponentially every year after it is
purchased. The value, in thousands of dollars, alt), of Plane X, t years after purchase
can be approximated by this function.

Answers

Answer: the operation can be said as x( 576-68)t-5= x

Step-by-step explanation:

You can see this because I am smart and just am

Any polygon with two pairs of parallel opposite sides is a parallelogram

Answers

Answer:

It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.

Step-by-step explanation:false.

Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?

Answers

The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer:x=7

Step-by-step explanation:

please urgent i beg for help !!!!!!!!!!!!!!!!!!!! will mark brainlist

Answers

Step 2 is incorrect. Since we are flipping the numerator and denominator, the exponents sign should be the opposite! In this case, it would become -5x.

Hope this helps!

Help me with this problem please.

Answers

The value of x is 5. The value of y is 8.66.

The image attached is that of a right triangle. In order to determine the value of x and y, SOHCAHTOA would be used.  x is he opposite side and y in the adjacent side to the angle 30 degrees.

Sin 30 = opposite / hypotenuse

0.5 = x / 10

x = 5

Cos 30  = adjacent / hypotenuse

0.8660 = y / 10

y = 8.66

A similar question was answered here: https://brainly.com/question/18055768

What is the median of the following data values?
10, 11, 12, 15, 19, 24, 27, 29, 33, 38

Answers

Answer:

21.5

Step-by-step explanation:

Make sure they are in order.

A median is basically (or literally) the number in the middle of the data set.

In this case, it is 19 and 24. To get the middle number, you have to:

Add the two numbers and divide them by 2.

19 + 24 = 43

43/2 = 21.5

What is the answer to: 1a to the power of 349 b to the power of 28 c to the power of 2 d to the power of 82 e to the power of 48 f to the power of 920 g to the power of 40 h to the power of 38 i to the power of 492 j to the power of 23 k to the power of 43 l to the power of 982 m to the power of 48 n to the power of 62=(4/2 x 10 x(the square root of 100)

Answers

Answer:

Its 7.908764333

Step-by-step explanation:

Trust me :)

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