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

Write each number as the product of two or three
prime numbers.
a) 49

b) 42

c) 63

d) 18

Answers

A = 7•7
B = 3•7•2
C = 3•3•7
D = 2•3•3

What is the graph of y- (-1) = -1/2(x-(-2))?​

Answers

Answer:

Y(355-+=098) THAT WHAT I GOT

Step-by-step explanation:

The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.

Answers


The inequality is : 1800 < c < 1900

I need help showing work

Answers

Answer:

yawa ka ah diyan module tae yan hahaha

don't know sorry mate

The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.

Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?

Answers

The distance between points (a) and (b) is the number of units between the points.

Formula for halfway two

Assume the lesser point is point (a)

To locate the halfway between points (a) and (b)

Calculate the absolute difference between points (a) and (b) i.e. |a - b|Divide the difference into halvesAdd the value of one half to point (a).

The above steps is represented as:

[tex]P = a + \frac{|a - b|}{2}[/tex]

Using the above formula, the halfway point between 5 and 11 would be 8

The formula can be used to calculate the distance between negative points, and absolute values are used to determine the number of units between the points

Real world circumstance

The formula can be used to calculate the halfway distance between two points on a track

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

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Calculate the measure of the major arc MPN.

Answers

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

What should you do to both sides of the inequality in order to solve x + (-2) > 3?
A) Subtract 3
B) Subtract 2
C) Add 3
D) Add 2

Answers

x+(-2) >3

open the bracket

x-2>3

collect the like terms by taking 2 to the other side

x>3+2

x>6

Sixty-seven percent of 237 people own
their homes. About how many people
own their homes?

Answers

Answer:

about 159 people own their homes

(158.79)

Step-by-step explanation:

When you want to find the percentage of a number, multiply that number by the percentage's decimal

example: 20% of 300

20%=20/100=0.20

300×0.20=60

Your welcome!

if you can, please mark brainliest :)

y - 12 = 89
y - 12 +____
=89 + 12
y=?

Answers

the answer is y=101 ! :)

Answer:101

Step-by-step explanation:

Emily drove to the ferry office and back. The trip there took four hours and the trip back took six hours. She averaged 20 km/h on the return trip. Find the average speed of the trip there.

Answers

Answer:

on the way there she was going at 25 km/hr

Step-by-step explanation:

If (x +4) + (y - 3) = -1 -i, what are the values of x and y?

Answers

Answer:

x=y-2

y=x-2

Step-by-step explanation:

Which of the following does an appropriately cautious reading of a receipt entail? I. Making sure that the items charged are the same as the items received. II. Asking for a second copy for your records. III. Checking to see if all of the discounts were applied properly. A. I only b. II and III c. I and III d. I, II, and III.

Answers

An appropriate cautious reading of a receipt entail making sure that the

items charged are the same as the items received and checking to see if all

of the discounts were applied properly,

When an item is bought, a receipt is usually issued which confirms that

payment has been made for the goods or services. Receipt however should

be properly checked to detect any error in the course of the transaction.

Making sure that the items charged are the same as the items received and

checking to see if all of the discounts were applied properly should be done

to avoid shortages of the resources of the parties involved.

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Answer:

c

Step-by-step explanation:

Jack deposited a check into his account for $227.11. Then, he withdrew $227.11 in cash in the same transaction. What is the net amount of Jack's transaction? A. $454.22 B. $227.11 C. $0 D. -$227.11

Answers

Answer:

None because he took out all of the money he had

Step-by-step explanation:

(I made the same mistake once......)

The net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.

Given:

Deposit amount = $227.11

Withdrawal amount = $227.11

Net amount = Deposit amount - Withdrawal amount

Net amount = $227.11 - $227.11

Net amount = $0

Hence, the net amount of Jack's transaction is: $0.

So, the correct answer is C. $0.

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Your family took a road trip to Disneyland. For a part of the drive, your family drove 70 miles per hour for 4 hours. How far did your family drive for that portion of the trip?

Answers

Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.

70 x 4 = 280

For four hours of driving, the family drove 280 miles.

Answer: 280 miles

Explanation:
If they’re going 70 miles every 1 hour, then just multiply that by the number of hours they travel.
70 * 4 = 280 miles in 4 hours

Pls help me asap don’t put any links and pls show me how you got that answer I will give brainliest

Answers

It has infinite solutions so there is no single solution for the first part

6x - 1 = 2x + 5 + 4x - 6

Add same ( right side )

2x + 4x = 6x
5 - 6 = -1

Put that in to the equation


6x - 1 = 6x - 1

Because of this x could be anything since both sides of the equation are the same

which term of the a.p 24, 21,, 18, ................. is the second negative term ?

Answers

Answer: -6

Step-by-step explanation:

It's going by 3s so the second negative number would follow as this:

24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6

Find the equation of the line that passes through (1,-1) and is parallel to 2x+y−3=0

Leave your answer in the form y=mx+c

Answers

Answer:

y = - 2x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y - 3 = 0 ( subtract 2x - 3 from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes, then

y = - 2x + c ← is the partial equation

To find c substitute (1, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - 2x + 1 ← equation of parallel line

Which exponential expression represents the numerical expression 9.9.9? O 39 99 0 9x3 O 3x9 1 2 2 3​

Answers

Step-by-step explanation:

nine to the third power or 9-cubed is the answer b/c multiply the number "9" by itself, three times.

     Therefore, 9*9*9" is equal to: 9³ 

explanation:
9^3

good luck!!

Why is it a shame that parallel lines have so much in common riddle answer

Answers

It’s a shame because they’re never gonna meet.

Answer:

Bc they will never meet (intersect, touch, etc)

Step-by-step explanation:

Parallel do not intersect.

Mark me the Brainliest! Ty!

6x-2 (x-5) = 46 what’s x

Answers

Answer:

x = 9

Step-by-step explanation:

6x - 2(x - 5) = 46 ← distribute parenthesis and simplify left side

6x - 2x + 10 = 46

4x + 10 = 46 ( subtract 10 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

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Answers

Answer:

I don't know (-_-)  HAHAHAHA

Step-by-step explanation:

d/−7 ≤ −6 pls help :)

Answers

Answer:

D > -42

Step-by-step explanation:

i need HELLPPPPPPP PLEASEEE

Answers

Answer:

B

Step-by-step explanation:

thats the only one that can go on a number  line correctly, plz mark me brainiest

a) work out the size of angle x.

b) give reasons for your answer.

Answers

Answer:

x=30

Step-by-step explanation:

105 is also the same as angle b which is also the same as the angle opposite.

so

150+150=300

360-300=60

60/2=30

hope that helps.

plz mark as brainliest if correct

thank you

Answer:

x=75°

Step-by-step explanation:

the angle that is 105° and the angle that is x makes a co interior angle.

the two angles belonging to that co interior angle will always add up to 180°.

so in this case, 180° - 105° = x

answer = x=75°

Decimal Addition/Subtraction.

Answers

Answer:

D. 1.175L

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?

y ≥ 2x + 1

y ≤ 2x – 2

Answers

Answer:

See below

Step-by-step explanation:

Given system:

y ≥ 2x + 1 y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

From the given inequalities we have boundaries (0, -1) and (0, 2). Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given system of inequalities are y ≥ 2x + 1 and y ≤ 2x – 2.

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

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Spiderman charges $25 for a service call plus $50 per hour of service. If Spiderman
works for 10 hours what will be the total cost of his service?

Answers

Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

P = 6 ft. Find the length of side H.



3.5 ft
3 ft
2 ft
2.5 ft

Answers

Answer:

The answer is 2.5 ft.

Step-by-step explanation:

Using Pythagoras theorem, let's find 'H'.=> H² = 2² + 1.5²=> H² = 4 + 2.25=> H² = 6.25=> √H² = √6.25=> H = 2.5

Conclusion:

Therefore, the answer is 2.5 ft.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

help plz
help
help
help
help
help
help

Answers

Answer:

A

Step-by-step explanation:

-|x+3| has a x-intercept of -3. A is the only option with -3 as an x-intercept.

-hope it helps

Answer:

answer be A

Step-by-step explanation:

take a factor out of the square root: 4√450

Answers

Answer:

60√2

Step-by-step explanation:

Factor the value 450

450 = 9 x 50 = 9 x 5 x 2

4√450 = [tex]4\sqrt{9*25*2[/tex]

            = [tex]4*3*5\sqrt2[/tex]

            = [tex]60\sqrt2[/tex]

[tex]60\sqrt2[/tex]

-Chetan K

Following are the calculation to the square root:

Given:

[tex]\bold{4 \sqrt{450}}[/tex]

To find:

square root=?

Solution:

Calculating the factor of 450:

[tex]\to 450 = 9 \times 50 = 9 \times 5 \times 2 \\\\\to 4\sqrt{450} =4 \sqrt{ 9 \times 25 \times 2}\\\\[/tex]

               [tex]=4 \times 3 \times 5 \sqrt{2} \\\\ =60 \sqrt{2} \\\\[/tex]

Therefore, the final answer is "[tex]60 \sqrt{2}[/tex]".

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