Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54 Which equation can be used to find the number of pennies Ari has?

Answers

Answer 1
n = the number of nickels
p = the number of pennies

Total number of coins she has = 22.

n + p = 22

First equation

Each penny is one cent and a nickel is worth 5 cents

And the total is $0.54

Second equation. 0.05n + 0.01p = 0.54

n + p = 22
0.05n + 0.01p = 0.54

Multiply the top equation by -0.05 which gives us

-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54

The n terms cancel out which leaves the p value

-0.04p = -0.56

Divide by the -0.04p and you get p=14


Substitute the value of p back into the top equation.

Which is n + 14 = 22

Subtract 14 and you get n = 8

Ari has 8 nickels and 14 pennies

Related Questions

FIND THE LCM OF EACH SET OF NUMBERS USING THE PRIME FACTORIZATION METHOD.

(BEST ANSWER = BRAINLIEST)

1. {12,15}
2. {16,24}
3. {18,27}
4. {20,28}
5. {36,54}
6. {9,12,24}
7. {15, 20, 45}
8. {6,8,12}
9. {4,6,9}
10. {8,9,12}

Answers

The LCM of the set of numbers are:

1. {12,15} = 60

2. {16,24} = 48

3. {18,27} = 54

4. {20,28} = 140

5. {36,54} = 108

6. {9,12,24} = 72

7. {15, 20, 45} = 180

8. {6,8,12} = 24

9. {4,6,9} = 36

10. {8,9,12} = 72

What is the LCM?

The least common multiple of two or more numbers is the least multiple that is common to two or more numbers. A multiple of a number is the product of an integer and that number. For example, the multiples of 6 are 12 and 18.

Prime factors of 12 = 2 x 2 x 3

Prime factors of 15 = 3 x 5

LCM = 2 x 2  x 3 x 5 = 60

Prime factors of 16 = 2 x 2 x 2 x 2

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 2 x 3 = 48

Prime factors of 18  = 2 x 3 x 3

Prime factors of  27  = 3 x 3 x 3

LCM = 2 x 3 x 3 x 3 = 54

Prime factors of 20  = 2 x 2 x 5

Prime factors of 28  = 2 x 2 x 7

LCM = 2 x 2 x 5 x 7 = 140

Prime factors of 36  =2 x  2 x 3 x 3

Prime factors of 54  = 2 x 3 x 3 x 3

LCM = 2 x 2 x3 x 3 x3 = 108

Prime factors of 9  = 3 x 3

Prime factors of 12 = 2 x 2 x 3

Prime factors of 24 = 2 x 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

Prime factors of 15 = 3 x 5

Prime factors of 20 = 2 x 2 x 5

Prime factors of  45 = 3 x 3 x 5

LCM = 2 x 2 x 3 x 3 x 5 = 180

Prime factors of 6  = 2 x 3

Prime factors of 8= 2 x 2 x 2

Prime factors of  12= 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Prime factors of 4  = 2 x 2

Prime factors of 6= 2 x 3

Prime factors of  9= 3 x 3

LCM = 2 x 2 x 3 x 3 = 36

Prime factors of 8 = 2 x 2 x 2

Prime factors of 9= 3 x 3

Prime factors of 12 = 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 x 3 = 72

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find the percent of change when 25 meters change to 30 meters

Answers

Answer:

20 %

Step-by-step explanation:

There was a change from 25 m to 30 m. When we find percentage change of something, we first calculate the difference of final and initial value. Then divide it by initial value × 100.

Change:

= 30 m - 25 m

= 5 m

% change:

= 5 m / 25 m × 100

= 100 / 5

= 20 % (ans)

A. A person goes from a sauna at 1208F to an outside temperature of -208F. What is the change in temperature

Answers

The change in temperature should be 1208 - (-208).

Michael makes a model to show the distances between the Sun and the planets.
Earth is 1.50 x 10¹¹ m from the Sun. The distance on the model is 30 cm. What is the ratio of the lengths of the model to the actual distance?

Answers

Step-by-step explanation:

do 1.50 times 10 and the multiple by 30 to get the answer

The ratio of the lengths of the model to the actual distance is approximately 2 x 10⁻¹³.

To find the ratio of the lengths of the model to the actual distance, we need to compare the lengths in the same unit. Let's convert the actual distance between the Sun and Earth from meters to centimeters, so both values are in centimeters.

1 meter = 100 centimeters

Actual distance from the Sun to Earth = 1.50 x 10¹¹ meters

Actual distance from the Sun to Earth in centimeters = 1.50 x 10¹¹ meters * 100 centimeters/meter

Actual distance from the Sun to Earth in centimeters = 1.50 x 10¹¹ meters * 100 centimeters/meter = 1.50 x 10¹³ centimeters

Now, we can compare the lengths:

Length on the model = 30 centimeters

Actual distance from the Sun to Earth = 1.50 x 10¹³ centimeters

The ratio of the lengths of the model to the actual distance is:

Ratio = Length on the model / Actual distance from the Sun to Earth

Ratio = 30 centimeters / (1.50 x 10¹³ centimeters)

To simplify this ratio, let's express the actual distance in scientific notation:

1.50 x 10¹³ = 15 x 10¹² = 1.5 x 10¹³

Now, the ratio becomes:

Ratio = 30 centimeters / (1.5 x 10¹³ centimeters)

Now, notice that both values are in the same unit (centimeters). We can proceed with the division:

Ratio ≈ 0.0000000000002

Therefore, the ratio of the lengths of the model to the actual distance is approximately 2 x 10⁻¹³. This means that every 1 centimeter on the model represents approximately 2 x 10⁻¹³ centimeters in actual distance between the Sun and Earth.

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ever since renata moved to her new home, she's been keeping track of the height of the tree outside her window. the variable hhh models the height of the tree (in centimeters), ttt years since renata moved in. h

Answers

The tree was 210 cm tall.

Let 'h(t) ' models the height of the tree in centimeters and 't' denotes the number of years since Renata moved in.

Given, h(t) = 210 + 33t

This is a linear function in 't'.

This function says that in each year the tree grows 33 cm tall.

We need to find the height of the tree when Renata moved in.

When Renata moved in, the number of years, t = 0

Applying this into h(t) , we get,

h(t) = 210 + 33 x 0 = 210 cm

Therefore the tree was 210 cm tall when Renata moved in.

The question was incomplete. Find the complete question here:

Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. h(t) models the height of the tree (in centimeters), t years since Renata moved in. h(t)=210+33t

How tall was the tree when Renata moved in?

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The volleyball team had to play quite a bit last week. they practiced .5 hours on monday, 1.3 hours on tuesday, 2.2 hours on wednesday and .8 hour on thursday. if they wanted to practice a total of 6 hours last week, how many hours did they end up practicing on friday?

Answers

The volleyball team ended up practicing for 1.2 hours on Friday.

The total number of hours the volleyball team practiced on Monday, Tuesday, Wednesday, and Thursday can be determined by adding the values given in the statement.

Therefore,

the total number of hours the team practiced on Monday, Tuesday, Wednesday, and Thursday=0.5 hours+1.3hours+2.2hours+0.8hours= 4.8 hours

Total number of hours the team practiced last week = 6 hours

The number of hours they practiced on Friday can be calculated by subtraction of the total number of hours of the week from the total number of hours on Monday, Tuesday, Wednesday, and Thursday.

Hence, the number of hours the team practiced on Friday = 6 - 4.8= 1.2 hours.

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All members of a class of 27 students participated in at least one event on sports day. 20 students participated in individual events and 12 students took part in team events. how many students took part in both individual and team events?

Answers

5 students took part in both individual and team events.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing. Relative to today's computers and transmission media, data is information converted into binary digital form. It is acceptable for data to be used as a singular subject or a plural subject.

Given:

Total students participated = 27

20 students participated in individual events

12 students took part in team events.

We have N(All students) = 27

N(individual) = 20

N(Team)= 12

So,

[tex]N_{\text{individual \; and \; team}} & = N_{\text{individual}} + N_{\text{team}} - N_{\text{All students}}[/tex]

=20+12-27

=32-27

=5

Hence, 5 students took part in both individual and team events.

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(x+5/2) + (x-3/3) = 3 1/6

Answers

Answer:

Step-by-step explanation:

x=2

The answer is x=2 you need to simplify

find the error javier claimed that all cubic functions are odd. is he correct? if not, provide a counterexample.

Answers

Answer:

The cubic function f(x) = x3 is symmetric about the origin (it is an odd function). Here are some types of functions that are odd: Lines Through The Origin – any line with a zero y intercept (b = 0) and a nonzero slope (m not zero) will have equation f(x) = mx.

Step-by-step explanation:

Answer: No

f(x) = x³ + 2x − 5

Step-by-step explanation:

No

f(x) = x³ + 2x − 5

Please Help Important!!!!!!

Answers

Seeing that substituting the value x ≤ -2, did not yield a result that is correct with the equation x5 +7 > x3 we can say that Sam's conjecture is incorrect

Given data

x ≤ -2

x5 +7 > x3

How to test Sam's conjecture

Sam's conjecture is tested by substituting the value x ≤ -2 into the equation x5 +7 > x3.  If the result is in accordance with the equation then Sam's conjecture is correct, however if the result is not in accordance with the equation the Sam's conjecture is incorrect.

The substitution will give

( -2 )^5 + 7 > ( -2 )^3

-32 + 7 > -8

-25 > -8  (since -25 is less than -8, Sam's conjecture is incorrect )

Seeing that substituting the value x ≤ -2, did not yield a result that is correct we can say that Sam's conjecture is incorrect

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-8w > -6/5 What is the answer

Answers

Answer:

51

Step-by-step explanation:

Suppose A is (-2,4) and M is (3,1) and M is the Midpoint of AB, find the coordinates of AB

Answers

(8, -2)

Use midpoint formula
(x1+x2)/2 , (y1+y2)/2

(-2+x)/2=3
-2+x=6
x=8

(4+y)/2=1
4+y=2
y=-2

Find the missing fraction.
5|2
13

Answers

The missing fraction is 13/2

80,000 as a scientific notation?

Answers

8x 10^4
(eight times ten to the power of 4)

tracy bought a new flat-screen television. one side of the television screen is 49 inches and the other side is 27 inches..

Answers

The new flat screen television that Tracy bought has a diagonal length of 56 inch

With the information given we can calculate the diagonal length of the television using the Pythagorean theorem equation.

The formula and the procedure that we have to use is:

h2= a2 + b2

Where:

h= hypotenusea= minor sideb = major side

Information about the problem:

h = ?b = 49 inchesa = 27 inches

Applying the Pythagorean theorem and finding the variable, we get:

h² = a² + b²

h² = (27 inch)² + (49 inch)²

h² = 729 inch² + 2401 inch²

h² = 3130 inch²

h = [tex]\sqrt{}[/tex]3130 inch²

h = 55.95 inch rounding up we get 56 inch

What is the Pythagorean theorem?

It is a mathematical equation that relates the three sides of a right angled triangle (major side, minor side and hypotenuse) and states that the sum of the squared sides equals the squared hypotenuse. Its general equation is:

h² = a² + b²

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Maria wanted to bring back 5 million grains of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?

a
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg
b
Multiply 5 x (6.7 x 10^-7) = 33.5 x 10^-7 = 3.35 x 10^-6 kg
c
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + 7)) = 33.5 x 10^13 = 3.35 x 10^14 kg
d
Divide (5,000,000 / 6.7 x 10^-7) = (5 x 10^6) / (6.7 x 10^-7) = (5 / 6.7) x (10^(6 - 7)) = .74 x 10^-1 = 0.074 kg

PLEASE HELP

Answers

Answer:

3.35

Step-by-step explanation:

5,000,000*6.7 * 10^-7

= 5 * 10^6 * 6.7*10^-7

= 33.5 * 10^-1

= 3.35

The weight of 5 million grains of sand is 3.35 kg.

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Weight of each grain of sand = 6.7 x [tex]10^{-7}[/tex] kg

Weight of 5 million grains of sand.

= 5,000,000 x  6.7 x [tex]10^{-7}[/tex] kg

= 5 x [tex]10^6[/tex] x 6.7 x [tex]10^{-7}[/tex]

= 33.5 x [tex]10^{-1}[/tex] kg

= = 3.35 kg

Thus,

The weight of the total grain of sand is 3.35 kg.

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What
is the slope of the line that passes through the points (-4, 6) and (-4, 18)?
Write your answer in simplest form.

Answers

Slope = (y2 - y1) / (x2 - x1)

(18-6) / (-4- -4)
(18-6) / (-4 + 4)
(12/0)

Since the denominator is zero the slope is undefined.

Find the product of 18.6 and 3

Answers

Answer: 55.8 Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

18.6 * 3 = (18 * 3) + (0.6 * 3) =

54 + 1.8 =

55.8

Hope this helps, please consider making me Brainliest.

Answer:55.6

Step-by-step explanation:

55.6

Can anyone find the value of x and y from the given figure?:​

Answers

Answer:

little tricky question but i managed to do it..

Use the function: f(x)=√√2x-5 to answer the following:

a) f(7)

b) f(x + 1)

c) f(-x)

d) the domain of f(x).

Answers

Answer:

the answer is a because if you calculate it correctly that the answer I got

use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago.

Answers

Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

What is the missing information?

The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.

What is population and sample?

Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.

Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence they are:

Englewood Stem, Hyde Park, Lake View, Marshall, Noble - UIC.

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Write each statement as a conditional.


a. A triangle with all angles congruent is equilateral.
b. Alberto can go to the movies if he washes the car.

Answers

Answer:

Step-by-step explanation:

Write each statement as a conditional.

a. A triangle with all angles congruent is equilateral.

b. Alberto can go to the movies if he washes the car.

a. If all angles of a triangle are congruent then the triangle is an equilateral triangle

b. If Alberto washes the car he can go to the movies

What is the value of -7 + a, if the value of a is -3?

Answers

Answer:

[tex] \sf \large \: - 10[/tex]

Step-by-step explanation:

−7+a

Evaluate for a=−3

−7+−3

=−10

Answer:

-10 given a = -3

Step-by-step explanation:

-7 + -3 = -10

Hope this helps! :)

Evaluate the expression for c =
10.
2c - 11 =

Answers

the answer to you’re question is 9
Explanation:

C=10
2 x 10= 20
20-11=9

Solve for a.


ab + c = d

Answers

It is the first one I believe

An electrically neutral atom of beryllium has four protons. Which statement is true? There are four protons in the nucleus. There is a charge of −4 on an atom of beryllium. There are four neutrons in the nucleus. There is a charge of +4 on an atom of beryllium.

Answers

The right answer is that there are four electrons.

What is an atomic number?

The charge number of an atomic nucleus is the chemical element's atomic number, also known as the nuclear charge number.

For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.

Equal numbers of protons and electrons make up a neutral atom. This figure establishes the atom's atomic number.

The fourth element on the periodic table is beryllium.

Number of protons in Be-atom = 4

Number of electrons in Be-atom = 4

Therefore, it is true that there are four electrons.

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Shawn stated that 5x + 2 is equal to 7x . Is Shawn's claim, correct? EXPLAIN.
Need answer asap

Answers

"Shawn stated that 5x+2 is equal 7x" its is an incorrect statement, because we can only add like terms.

Given,

The statement

5x+2 is equal to 7x

Here 5x and 2 are not like terms. So we can't add them together.

So the given statement is incorrect

5x+2 is not equal to 7x

Hence, "Shawn stated that 5x+2 is equal 7x" it is an incorrect statement, because we can only add like terms.

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Allison is saving money to buy a video game system. in the first week her savings were $8 less than 2/5 the price of the system. in the second week, she saved 50 cents more than 1/2 the price of the system. she was still $37 short. find the price of the system.

Answers

Hence , the price of the system $295 .

The linear equations in one variable is associate degree equation that is expressed within the sort of ax+b = zero, wherever a and b square measure 2 integers, and x may be a variable and has just one resolution. as an example, 2x+3=8 may be a equation having one variable in it.

Let the price of the system be "x" .

It is given that in the first week her savings were $8 less than 2/5 the price of the system which can be represented by equation

First week savings =  (2/5)x -8

It is also given that in the second week, she saved 50 cents more than 1/2 the price of the system which can be represented by equation

Second week savings = (1/2)x +0.5

savings + short = price of system

(2/5)x -8 + (1/2)x +0.5 + 37 = x

 (2/5)x +  (1/2)x + 29.5 = x

   4x + 5x/ 10 + 29.5 = x

     9x/10+ 29.5 = x

       0.9x + 29.5 = x

          29.5 = x - 0.9x

           29.5 = 0.1x

           $ 295 = x

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Alang has a points card for a movie theater.
He receives 55 rewards points just for signing up.
• He earns 3.5 points for each visit to the movie theater.
• He needs 83 points for a free movie ticket.
How many visits must Alang make to earn a free movie ticket?

Answers

The number of visits that Alang makes to earn a free movie ticket will be 8.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Alang has a rewards card at a cinema.

The mere act of joining up earns him 55 reward points.

Every time he enters a movie theater, he receives 3.5 points.

To receive a free movie ticket, he needs 83 points.

Let x be the number of visits. Then the equation is given as,

3.5x + 55 = 83

Simplify the equation, then the value of x will be

3.5x = 83 - 55

3.5x = 28

x = 28 / 3.5

x = 8

The number of visits that Alang makes to earn a free movie ticket will be 8.

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Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

can someone please help me? i’ve been struggling with factoring for a little bit now.


Factor.

81-22

Answers

Answer:59

Step-by-step explanation:

81-22=59

answer is 59 because 59 is a prime number

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