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

HELP NOW PLSSSSS
(where the longer it takes to solve a problem and the fewer people who answer it correctly, the more difficult it is). On each subsection, question 1 will be "easy" and question 15 will be considered "difficult." However, the ascending difficulty resets from easy to hard on the grid-ins.

Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).

Answers

the answer is 4/.12

:)

Answer:

Hence, multiple choice questions are arranged in increasing difficulty (questions 1 and 2 will be the easiest, questions 14 and 15 will be the hardest), but the difficulty level resets for the grid-in section (meaning questions 16 and 17 will again be "easy" and questions 19 and 20 will be very difficult).

What is the question??

3u - 10 =23
Simplify your answer as much as possible.
Ü
Х

Answers

Answer:

u=11

Step-by-step explanation:

3u - 10 = 20

3u-10+10=20+10 |+10

3u=33 |÷3

3/3*u=33/3

1*u=11

u=11

Will give Brainliest! A rectangle on the coordinate plane has vertices at (0, 0), (4, 0), (4, 2) and (0, 2). A dilation of the rectangle has vertices at (0, 0), (2, 0), (2, 1) and (0, 1). Find the scale factor.

Answers

Answer:  Sample. Points. A(2, 1). B(1, 3). C(3, 2). Segments ... and angle measures of the image of △ABC after a dilation with a scale factor of k? Dilating Lines ... Graph quadrilateral KLMN with vertices K(−3, 6), L(0, 6), M(3, 3), and N(−3, −3) ... Find the perimeter and area of the rectangle. b.

Step-by-step explanation:

if a bike race covers 120 mi over 6 days and the cyclists ride the same distance every day how many miles does each cyclist ride each day​

Answers

120/6= 20
they ride 20 miles each day

n − 32 5 = 10 help plz

Answers

Answer:

n=335

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

n − 325 = 10  equation

Step 2

n − 325 = 10  simplify by adding 325 to both sides

Answer

n=335

Jeffrey is 5 years older than his brother. If j represents Jeffrey’s age, the expression j−5 can be used to find his brother’s age. If Jeffrey is 23, how old is his brother?

Answers

If j=23 and j-5 is how old Jeffery's brother is then Jeffrey's brother is 17 years old.

So j=17

His brother is 17 because 23-5 =17

what is 13+7x=27 pleae i really need help

Answers

Answer:

x=2 is the answer to this problem


5
12
of the pupils in Year 9 say their favourite colour is red.
There are 180 pupils in Year 9.
How many students said red is their favourite colour?

Answers

Red

⁣           
    
    

Doing my homework!
✏️✏️✏️✏️

Given the diagram below, solve for the value of x.

Answers

Answer:    x = 53

==========================================================

Explanation:

Sides ED and FD are the same length due to the red tickmarks.

The angles opposite these side lengths, angle E and angle F, are congruent as well. So angle F is also x.

For any triangle, the three angles always add to 180

F+E+D = 180

x+x+74 = 180

2x+74 = 180

2x+74-74 = 180-74 .... subtract 74 from both sides

2x = 106

2x/2 = 106/2 ... divide both sides by 2

x = 53

As a check,

F+E+D = x+x+74 = 53+53+74 = 180

which verifies the answer.

Rewrite the expression as the sum of two numbers 7(2+5)

Answers

answer:

its 7 x 7 or 49

explanation:

First you used distribute property
7(2+5) bring 7 into the parentheses
14+35 Then you just add
49 that’s the sum

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

Answers

Answer:

-24+6=

Step-by-step explanation:

select the correct rule, then solve the equation

Complete Question

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits. minimum=7, maximum = 83, 6 classes ​

What is the class width? (whole number)

We have that the Class Width is given as

7-19

20-32

33-45

46-58

59-71

72-84

Generally

[tex]Class\ width =\frac{83-7}{6}[/tex]

Class width =12.67

Class width =13

Hence

Lower class limit is

7,7+13=20...33,46,59,72

Upper class limit is

7+13-1=19,32,45,58,71,84

For more information on this visit

https://brainly.com/question/17871636?referrer=searchResults

whats the value of v 69 = 7v – 6

Answers

Answer:

75/7

Step-by-step explanation:

69=7v-6 rewrite as 69+6=7v

75 = 7v

75/7 = v

can someone help with this question?

Answers

Get the app called connects! It’s really good help for math!

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

the diagram shows what tina had left from a yard of fabric. she now uses 2/3 yards of fabric for a project.how much of the original yard of fabric did tina have after the project

Answers

Cant see the diagram

17% of what number is 51

Answers

Answer:

300

Step-by-step explanation:

What is the value of the expression?

Answers

Answer:

2/0 or infinity

Step-by-step explanation:

Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8

Answers

Answer:

x < 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

x + 25 < 33

Step 2: Solve for x

Subtract 25 on both sides:                    x < 8

Here we see that any value x smaller than 8 would work as a solution to the inequality.

Suppose that the functions q and r are defined as follows.
q(x) = -x-1
r(x) = 2x² – 2
Find the following.
(q*r)(-5) =
(r*q) (-5) =​

Answers

Step-by-step explanation:

r(-5) = 2*25 - 2 = 48

Q(-5) = 5 - 1 = 4

How many groups of 3/4 are in each of the following questions?
11/4
Enter answer as a fraction.

Answers

Answer:

12 1/3

Step-by-step exp

First, you need to add up 11/4 and

6 1/2

11/ 4 + 6 1/2 = 11/4 + 13/2 = 37 / 4

To find how many 3/4 we have in 37/4, we simply dividw 37/4 by 3/4

37/4 ÷ 3/4

= 37/4 × 4/3 (4 will cancel out 4)

= 37/3

=12 1/3

At Smith’s Bike Rentals, it cost $27 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use

Answers

Answer:

$4.50 per hour

Step-by-step explanation:

Step 1: 27 divided by 6 is 4.50

Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27

To find how much it would cost for one hour you would need to divide 27 by 6.

27/6 = 4.5

Therefore it costs $4.5 to rent the bike per hour

Tamara is bringing refreshments to a
reception for 23 people. She estimates one
liter of juice for 5 people. How much juice should Tamara buy in liters.How many milliliters of juice is this.

Answers

She should buy 5 liters of juice.

48 is 16 2/3% of what number?

Answers

Answer:

288

Step-by-step explanation:

I hope this helps <3

help me , my project is do soon .

Answers

Answer:

whats the question

Step-by-step explanation:

Will give brainliest again for help

Answers

Answer:

B and C are the answers

Step-by-step explanation:

this is the second time my answer has been deleted.

angles FMK and HMK are congruent because corresponding angles are congruent----  if you were to cut this in half horizontally, then place the two pieces on top of each other, you would see that the angles line up perfectly.

angles GMK and JNL are supplementary because they add up to 180 degrees-- Alternate exterior angles are supplementary.

neeed helppp pleasseeee

Answers

-1/24 is the answer

What fraction of an hour is 51 minutes?
Give your answer in its simplest form.

Answers

Answer:

0.850

Step-by-step explanation:

fraction = given time / total time in 1 hour

=51/60

The answer is: 0.850

Jane ran 15.2 miles she ran 6.7 miles on Saturday how many miles did she run on Sunday

Answers

Answer:

8.5

Step-by-step explanation

15.2 - 6.7 = 8.5

And She Ran 15.2 Miles IN ALL.

Find the value of x.
4x + 5
2x + 21, smby help me wit dis pls

Answers

Answer: x = 8

Step-by-step explanation:

4x + 5 = 2x + 21

4x + 5 - 2x = -2x + 2x +21 (Subtract 2x from both sides)

2x + 5 = 21

2x + 5 - 5 = 21 - 5 (Subtract 5 from both sides)

2x = 16

2x/2 = 16/2 (Divide both sides by 2)

x = 8

A line passes through (-6, 10) and (4, -10). What is the slope?

Answers

m= -2 , hope this help you <3
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