System of Equations : Money

Damian has been saving coins he finds on the ground for several months. So far he has found 37 coins that are either pennies or nickels. The combined value of his found pennies and nickels currently is $1.09. What is the system of linear equations, written using standard form, represents the situation if Damian found p pennies and n nickels.​

Answers

Answer 1

Answer:

18 nickles 19 pennies

Step-by-step explanation:

value of 1 penny=$0.01

value of 1 nickle=$0.05

0.01p+0.05n=1.09

p+n=37

there are two methods for this system

I.substitution

p+n=37

p=37-n

we replace p in the first relation

0.01(37-n)+0.05n=1.09

0.37-0.01n+0.05n=1.09

0.04n=0.72

n=18 nickels

p+18=37

p=37-18=19 pennies

II.reduction

0.01p+0.05n=1.09

p+n=37

we multiply the second equation by 100

p+5n=109

p+n=37

we calculate the difference between the two relations

p-p+5n-n=109-37

4n=72

n=18

p+18=37

p=19


Related Questions

Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5

Answers

Answer:

2

Step-by-step explanation:

I think dont come at me if I'm wrong

Answer:

1, 3, and 4 are true

Step-by-step explanation:

1. y=mx+b, m is the slope

2.  Parallel lines have the same slope. -2 is not equal to 2

3. y=mx+b, b is the y-intercept

4. Perpendicular lines,

If you multiply the slopes and the result is -1.

-2 times 1/2

-1

If two parents, one with brown eyes (a dominant trait) and the other with blue eyes (the recessive trait) produce one twin boy with blue eyes, what is the probability that a fraternal twin will transmit the blue eye allele to his or her offspring

Answers

Answer:

50 percent

Step-by-step explanation:

It is given that one of the parent with a dominant trait have brown eyes and the other parent with a recessive trait has blue eyes. They produce a twin boy with eyes that is blue in color. So the probability of the fraternal twin to transmit his allele of blue eye to his or her offspring is 50 percent.

And also the probability of the offspring to pass the allele on to his or her offspring is 50 %.

The product rule is used : 0.5 x 0.5 = 0.25 or 25%.

8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches

Answers

Answer:

71

Step-by-step explanation:

i just want to ask a question sorry for not being helpful

Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.

On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).

To complete the pentagon, she can choose only from the points below.

(2, 0), (–2, 0), (–2, 4), (2, 4)

How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).

Answers

Answer:

D

Step-by-step explanation:

Connect the point already at (0, –2) to a new point at (2, 0), connect

(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).

Im pretty sure

Answer:

D

Step-by-step explanation:

A clothing company produced 600 items of clothing. Of those, 15% were jackets, 25% were dresses, and 15% were shoes. How many of the items of clothing were NOT jackets, dresses, or shoes?

Answers

Answer:

270 items

Step-by-step explanation:

Answer:

270 of them were not jackets dresses or shoes

Step-by-step explanation:

Jessica is making party punch. The recipe calls for 1 3/4 cups of cranberry juice. How many fluid ounces is this?

Which student is correct?

Answers

Student A is correct, this is because 1.75 cups converts to 14 fluid ounces.

Evaluate 1/3 to the power of 3

Answers

The answer is 0.0369 (4 d.p)
Take 1/3 and convert to a decimal which is 0.333. Then put the decimal to the power of 3. In which you will get 0.0369 if you change to a fraction it will be 369/1000.
Hope it helps.

12x-20=n(3x-5) what does n equal​

Answers

The answer is 4 do you need a step by step explanation or no
the answer is 4 because 12x-20 =4(3x-5)

Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?

Answers

Answer:

30 oranges

Step-by-step explanation:

2 apples : 5 oranges

12 apples : 30 oranges

because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.

sam can make 10 bracelets in 4 hours. how many bracelets can he make in 1 hour. 2 hours. and 3 hours.

Answers

Answer:

1 hour- 2 bracelets ; 2 hours 2 bracelets; 3 hours 4 bracelets

Step-by-step explanation:

i dont know if correct

If a person weighs 130 Ibs and they lose 1/10 of their weight.How much weight was lost

Answers

Answer:

13 lbs

Step-by-step explanation:

to find 1/10 we divide by 10

This can be found by moving the decimal back by one

So 130/10=13

13 lbs were lost

The person lost 13 lbs of weight.

What is weight?

Weight is the measure of how heavy an object is. Weight is measured in standard customary units. The mass of an object is the amount of material it contains.

Given that, the person weight=130 lbs and he lost 1/10 of his weight.

We need to find how much weight was lost.

Now, weight lost [tex]=\frac{1}{10} \times 130=13[/tex] lbs.

Hence, the person lost 13 lbs of weight.

To learn more about the weight visit:

https://brainly.com/question/10069252.

#SPJ2

Part C
Use an exponential expression to calculate the area covered by purple loosestrife 7 years from now.

Answers

Answer:500(1.2)^x

Plato :)

Answer:

3

Step-by-step explanation:

PLATO

Which equation can be used to determine the number of movie tickets sold if the cost of each ticket x was $5.50, and $6,850 was earned on the ticket sales?

Answers

Answer:

5.50x = 6,850

Step-by-step explanation:

Each ticket costs $5.50, and the total is $6,850.

Hope this helps! :)

Jonah teachers pet training classes at the happy tails doggie daycare yesterday he talk to tricks to a group of dogs during a 30 minute class Jonah decided to create a longer class lasting 75 minutes if he teaches tricks at the same rate how many tricks with Jonah teach during the 75 minute class

Answers

Answer:

5

Step-by-step explanation:

he teaches 1 trick every 15 minutes 75 divided by 15 gives you 5 so Jonah can teach 5 tricks in a 75 minute class

Answer:

5

Step-by-step explanation:

 bjhugvcyfxtdrzstxycfugiholiugkyftdrsetdfyugi

An individual rides a bike at a rate of 15 miles per hour for h hours. Write an equation that expresses the situation, let x be the independent variable and y be the dependent variable.

Answers

Answer:

15y+x

Step-by-step explanation:

Which of the following is 3x²/12x simplified?


3x/12


x/4


x/3


x²/4x

Answers

the third option is the answer

Answer:

I think it is the last one

Step-by-step explanation:

PLEASE HELP ME QUICKLY I NEED THIS SOON!!!!

Katherine and Alex both work at the burger barn. Katherine earned three times as much on her last paycheck as Alex did on his. If Katherine’s earnings were $351 then how much did Alex earn?

Answers

Answer:

Alex earned $117

Step-by-step explanation:

You just have to divide 351 by 3

Hope this helps :)

PLEASE HELP!!!! Liner equations & graphs!!! I REALLY NEED HELP W THIS !!!!

Answers

Answer:

line X

Step-by-step explanation:

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

the correct answer would be A

5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál


es el grosor de una hoja?

Answers

Responder:

0,01 cm

Explicación paso a paso:

Dado que :

Un paquete de 100 hojas iguales = 1cm de alto

Esto significa que el grosor del paquete es de 1 cm de alto.

Dado que las hojas son iguales, el grosor de una sola hoja será:

(Espesor del paquete completo / número de hojas en el paquete)

(1 cm / 100)

= 0,01 cm

Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.

Esto problema é solucionado por proporciones, se utilizando de una regla de três.

Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?

La regla de três es dada por:

100 hojas - 1 cm

1 hoja - x cm

Aplicando multiplicación cruzada:

[tex]100x = 1[/tex]

[tex]x = \frac{1}{100}[/tex]

[tex]x = 0.01[/tex]

Por eso, el grosor de una hoja es de 0.01 cm.

Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636

Which pair of numbers is relatively prime?
A 7 and 21
B 4 and 15
C 6 and 9
D 9 and 27

Answers

It is B i’m pretty sure! I hope this is correct

PLEASE help me. thank you

Answers

Answer:

Each paper weight is half a pound

Step-by-step explanation:

in the figure, AC=20cm CD=22cm and AE=16cm find the length of BD.

Answers

Answer:

17.6 cm

Step-by-step explanation:

Area of triangle equals to half of the base times height, i.e. A = 1/2 × b × h.

1/2 x 22 x 16 = 1/2 x 20 x BD

BD = (1/2 x 22 x 16) / (1/2 x 20)

BD = 17.6 cm

Based on the 2017 season, the Houston Astros have a winning percentage of .623. Use the binomial model to find the probability that the Astros will win 4 of their next 6 games.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
A.
12.4%

B.
24.7%

C.
32.1%

D.
62.3%

Answers

Answer: Your answer would be C) 32.1%

Step-by-step explanation:

With the number of successes needed to be 4 and the total amount of trials (games) for this to be achieved in being 6 you can calculate a percentage based on their currenting winning percentage of .623 (don't forget decimals can be percentages, just move the decimal point over) and you can input all of this into the binomial model equation to get your answer. Please do note also that it would be a different answer entirely if you were to use .500 (50%) as a winning percentage which would be the logical conclusion as any team has a 50/50 chance of winning a given game but instead the question is asking us to calculate this percentage off the already given winning percentage. After inputting the data into the model formula you can conclude the answer to be 32.1% chance of them winning 4 out of the next 6 games. I hope this has been of assistance to you :)

Have a wonderful rest of your day!

On a recent survey, 60% of those surveyed indicated that they preferred taking a trip to the beach over a trip to the mountains. If 810 people preferred a trip to the mountains, how many people were surveyed?

1) 486


2) 870


3) 1,350


4) 2,025

Answers

Answer:

Answer is number 3

Step-by-step explanation:

find the measusre of the angles.

Answers

Answer:

1, 3, 5 =117

2, 4, 6, 7= 63

Step-by-step explanation:

Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.

A cell phone is originally priced at $80. The online retailer gives a discount and the cell phone is now priced at $40. Enter the percentage discount for the cost of the cell phone.

Answers

Answer: The percent that the phone is on sale is 50%. The discount if 40 dollars.1/2 of the total will be taken off.

The Tigers basketball team scored the following points during the regular season: 52, 75, 90, 48, 90.
What is the range of these scores?
A. 42
B. 90
C. 71
D. 75
E. 38

Answers

Answer:

D

Step-by-step explanation:

Answer: the answer should be 90 :)

Which is the correct answer? and how can you find the answer

Answers

Answer:

?

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

-10/2=-5-7=-12

-8/2=-4-7=-11

Braniliest?

What is the range of the mapping?

Answers

The range of the mapping is 1,4
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