There are $13.30 worth of nickels and dimes in a piggy bank. There are 5 more nickels than dimes. How
many of each are in the piggy bank? You must solve this problem algebraically (no guess and check). Show
each step for full credit. Circle your final answer. (4 points)

Answers

Answer 1

Answer:

92 nickels87 dimes

Step-by-step explanation:

You want the number of nickels and dimes that make up $13.30 when there are 5 more nickels than dimes.

Setup

Let d represent the number of dimes. Then (d+5) is the number of nickels. The total value in cents is ...

  10d +5(d+5) = 1330

Solution

Simplifying the equation, we get ...

  15d +25 = 1330

  15d = 1305 . . . . . . . . subtract 25

  d = 87 . . . . . . . . . . . divide by 15

  (d+5) = 92 . . . . . . the number of nickels

[tex]\boxed{\text{There are 92 nickels and 87 dimes in the piggy bank.}}[/tex]


Related Questions

prove that the set of all xy=0 in R^n is not an open set

Answers

the set of all x y = 0 in R is not an open set.

x y = 0 in R is possible if

either x= 0y =0x = y = 0

So, the contains (0,0) , (0, any real number) ,...…..,

(any real number, 0) ,...…..

So, the set is not an open set.

Hence proved.

Therefore, the set of all x y = 0 in R is not an open set.

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Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?

Answers

The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.

How to calculate the function?

Based on the information given, let the number of hours be represented by h

Therefore, the first function for Michael will be:

96 + 12h

The second function for Greg will be:

= 128 + 10h

Therefore, we'll equate both equations. This will be:

96 + 12h = 128 + 10h

12h - 10h = 128 - 96.

2h = 32.

h = 32/2

h = 16 hours.

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7.8 x 10 3
--------------
1.2 x 10 4

Answers

Step-by-step explanation:

7.8 ×1000=7800.

1.2×10000=12000.

7800÷12000=0.65.

I need help with cumulative frequency pleaseee!!

Answers

The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.

The CFs for the given grade ranges are

• ≤ 49 :

9/67

• ≤ 59 :

9/67 + 10/67 = 19/67

• ≤ 69 :

9/67 + 10/67 + 10/67 = 29/67

• ≤ 79 :

9/67 + 10/67 + 10/67 + 14/67 = 43/67

• ≤ 89 :

9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67

• ≤ 100 :

9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1

Plot the intercepts to graph the equation.
9x−4y=−36
Graph it

Answers

For the line 9x−4y=−36 we have:

x-intercept (-4, 0)

y-intercept (0, 9)

The graph of the line can be seen below.

How to graph the linear equation?

Here we have the linear equation:

9x - 4y = -36

First, the x-intercept is what we get when y = 0, then:

9x - 4*0 = -36

9x = - 36

x = -36/9 = -4

Then we have the point (-4, 0)

And the y-intercept is what we get when evaluate the variable x = 0, so:

9*0 - 4*y = -36

y = -36/-4 = 9

Then we have the point (0, 9)

Now just graph these two points, and connect them with a line, you will get the graph below.

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Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?

Answers

The initial amount that Taylor receive initially is $1500.

How to calculate the value?

Based on the information given, the following can be illustrated:

Interest = 1500

Time = 4 years

Rate = 2.5%

Principal = Unknown

Interest = PRT/100

1500 = (P × 4 × 2.5)/100

150000 = 10P

Divide

P = 150000/100

P = 1500

The initial amount is $1500.

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What is the ones digit in the number 2^2076Hint: Start with smaller exponents to find a pattern.
Answer

Answers

Answer:

Step-by-step explanation: i think 9 the 9 is in one digits

Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40

Answers

Answer:

is correct

x^3 -7x^2+2x +40

multiply the constants of the factors (each factor has opposite sign of the zero)

(x+2)(x-4)(x-5)   2(-4)(-5) = 40,  that eliminates all but c) and d)

(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5)   by using FOIL on the 1st two factors

then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)

-5 times -2x = 10x,  x times -8 = -8x.   10x-8x = 2x which c) has but d) doesn't.

Step-by-step explanation:

can someone answer this please

Answers

can someone answer this please. done

Idrk what to name this but- just only answer if you are sure

Answers

Answer:

Put it on calculator

Step-by-step explanation:

Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70

If you don't understand don't be shy to ask you should learn from your mistakes

Answer:

C. 70%

Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)

At Gabby's family reunion, Gabby hands out watermelon for the annual seed-spitting contest
She gives a watermelon slice to each kid at the reunion. She also gives a slice to 25 adults.
Gabby hands out 55 watermelon slices in all.
Which equation can you use to find how many kids k are at the reunion?
k - 25 = 55
k
25
= 55
k + 25 = 55
25k = 55
Solve this equation for k to find how many kids are at the reunion.

Answers

The  equation which can be used  to find how many kids k are at the reunion is :k + 25 = 55

There are 30 kids at the reunion

What is algebraic expression?

Algebraic expressions are based on expressing numbers using letters  without indicating their actual values, such that we can determine the unknown variables by solving the expression or equation.

The total number of watermelons in this case is 55, if 25 slices are handed to the adults in the reunion gathering, the remaining one is the difference between 55 and 25 already served, which is known as k in this case.

total number of watermelons=55

number of adults=25

number of kids given watermelon=k

i.e k+25=55

k=55-25

k=30

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What is (-2/3)+(7/8)?

Answers

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=

[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=

[tex]\frac{-2*8+7*3}{24}[/tex]=

[tex]\frac{-16+21}{24}[/tex]=5/24

It takes you 53 seconds to walk from the first​ (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor​ (at the same​ pace, assuming all floors have the same​ height)?

Answers

The time it takes to walk from the first floor to the sixth floor​ is 132.5 seconds.

What is a division?

The division is a process of splitting a specific amount into equal parts.

We have,

To walk from the first floor to the third floor it takes 53 seconds.

From the first floor to the third floor there are two floors.

So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.

We have,

= 53 / 2

= 26.5 seconds

There are 5 floors from the first floor to the sixth floor.

So the time it takes to walk from the first floor to the sixth floor is:

= 26.5 x 5

= 132.5 seconds

We can also say that,

132.5 seconds = 2.20 minutes = 2 minutes 12 seconds

Thus the time it takes to walk from the first floor to the sixth floor​ is132.5 seconds.

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Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64

Answers

Answer: The 48 0z of jelly for 8.64

Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9

Answer:

48 Oz of jelly for $8.64

Step-by-step explanation:

16oz of jelly is $3.30 x 3 =$9.90

I need help for the Wednesday one

Answers

Answer:

Seth is correct.

Step-by-step explanation:

Complementary means that they add to 90 degrees.  Supplemental means that they add to 180.  147 + 33 equals 180 so they are supplemental.

Compute the derivatives of the Michaelis Menten kinetics
V=Kx/kn + x
where K and kn are constants.

Answers

We get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.

We are given a function:

V = K x / k n + x

where K and k n are constants.

We need to find its derivative with respect to x

Derivative refers the rate of change of a function with respect to a variable.

Now differentiating with respect to x , we get that:

d V / d x = k / k n ( 1 ) + ( 1 )

d v / d x = k / k n + 1

Therefore, we get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.

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a company charges $80 per day plus $0.30 per mile for truck rentals. If Greg rents a truck for 3 days and drives 200 miles, how much will the company charge?

Answers

80x3=240, .30x200= 60 so 60+240=$300

Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?

Answers

Answer: 25 students

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

83 lollipops - the 8 remaining lollipops = 75 lollipops

75 lollipops ÷ 3 ( the amount he gave to each student) = 25

3 lollipops per person

3 * 25 people = 75 + 8 (remaining)

what are the missing lengths for the triangle 45 45 5v2

Answers

3.5355339 cm are the missing lengths for the right triangle.

What is right triangle ?

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs

n√2=5

n=5/√2

multiply both terms by √2

n=5√2/2, or...

n=2.5(1.4142136)

n=3.5355339 cm (round as needed)

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The complete question is -

The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.

On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?

Answers

Answer:

the answer is 136 miles

the answer is 136 miles.

(13 + 7 ^ 2 / 7)/(9 - 20/4 - 16)

Answers

Answer:

-5/3

Step-by-step explanation:

= (13+7*7/7)/(9-20/4-16)

= (13+7)/(9-5-16)

= 20/(-12)

= -5/3

9 divided by 836 step by step

Answers

Answer: 92 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

836/9=

(800+36)/9=

800/9 + 36/9=

800/9 + 4 =

(792+8)/9 + 4=

792/9 + 8/9 + 4=

88 + 8/9 + 4=

88+4+8/9=92 [tex]\frac{8}{9}[/tex]





Which of the following is considered to have two dimensions?


Answers

Answer: objects that are flat plane figures that have two dimensions; length and width.

example: squares, circles, rectangles, and triangles are examples of two-dimensional objects.

Step-by-step explanation:

Solve the equation for x.

27
(14 − 28x) = 20

Answers

Answer:

27 times (14 and 28)

378-756=20

-378=20

Put it (-378) on the other side

Your answer: 398

Thank you,daintysword

1/(x+1) = -1/ x-1
true or false

Answers

Answer:

False

Step-by-step explanation:

it would be positive, not negative.

Find the sum of 0.55 and 0.41 i need help

Answers

The answer is 0.96 because you need to add them together

1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation

Answers

Change in Rosa's elevation from starting to end of her hike is 692 feet.

What is elevation in a hike?

Elevation is the height of hiker above the sea level at any point of the hike.

At the starting of the hike , Rosa was at an elevation of = -600feet

At the ending of the hike, Rosa is at an elevation of  = 92 feet

Change in elevation = final elevation - initial elevation

                                 = 92-(-600) = 692 feet

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Hailey signed up for a streaming music service that costs $12 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1 per song. How much total money would Hailey have to pay in a month in which she downloaded 15 songs? How much would she have to pay if she downloaded ss songs?

Answers

12+15= 27
not sure what the ss is, if you could let me
know i could do that one too!

Finn completed 27 situps. Ellen completed 9 situps. Finn completed n more situps than Ellen. How would you determine this?

Answers

Finn completed 18 more situps than Ellen so N = 18. This is because 27 - 9 = 18. Hope this helped! :)

Answer: finn did 18 more situps than ellen

Step-by-step explanation:

whats a equivalent expression for the square root of 13 x the square root of 13​

Answers

Answer:

[tex]2(13^{2})[/tex]

Step-by-step explanation:

[tex]13^2 + 13^2 = 13^2[/tex] x [tex]2 = 2(13^2)[/tex]

We can check the work.

[tex]13^2 +13^2= 169 + 169 = 338\\\\\\2(13^2)= 2(169)= 338[/tex]

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