A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?

Answers

Answer 1

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24


Related Questions

What is the value of x

Answers

Answer:

the answer will be 10 aka number 1

Step-by-step explanation:

If the left side is 18 and the number above it is half that aka 9 then the other side is 10

Having trouble solving this:

Answers

Answer:

your answer is 139/ 250

Step-by-step explanation:

I did this already good luck! hope this helps

I believe it’s the last one

316 students went on a field trip. Six buses were filled and 10 students traveled in cars. How many students
were in each bus?

Answers

Answer:

51

Step-by-step explanation:

316-10= 306

306 divided by 6 = 51

Select the correct answer.

If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?

A.
-6 and -1
B.
-1 and 6
C.
1 and 6
D.
-6 and 1

Answers

Answer:

6 and 1

Step-by-step explanation:

Let  x - 6 = 0   and x - 1 = 0

x = 6    and x = 1

116 is less than a number, R increased by 35?

Answers

Answer:

R - 116 + 35 is your expression I am pretty sure

12 cm
8 cm
5 cm
5 cm
17 cm
26. The area of the composite figure above is_cm-square.
1 point
Your answer​

Answers

12 cm..........................

To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.

c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved

Answers

Answer:

6.5 hours

Step-by-step explanation:

123-45=78

78/12=6.5

Theo had the limousine reserved for 6.5 hours.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Theo's equation for the cost of renting a limousine is:

c = 45 + 12h

where c is the total cost,

and h is the number of hours reserved.

If the final bill amounts to $123,

we can set c equal to 123 and solve for h:

123 = 45 + 12h

Subtracting 45 from both sides:

78 = 12h

Dividing both sides by 12:

h = 6.5

Therefore, Theo had the limousine reserved for 6.5 hours.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ3

It usually takes Mary 6 hours to do the cleaning that Jane can do in 5 hours and Ellen can do in 4 hours. If
Jane and Ellen agree to help Mary so that they can all go on a picnic, how long will it take them to do the
cleaning?

Answers

Answer:

It will take them about 5 hours to do the cleaning.

Step-by-step explanation:

Since all three of them are going to do it together, you must find the average amount of time between the three of them. To do this you add all of their cleaning times, 6, 5 and 4, and them divide by the amount of people there. 6+5+4= 15, 15/3=5.

Solve for x, Round to the nearest 100th if needed.
x13+18=49
x=?

Answers

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

so nearest 100 th would be 2.4

List the domain and range of the relation. {(7,-8), (4,4), (0,-8), (4,1),(7,8)}

Answers

Answer:

Domain: {7, 4, 0} Range: {-8, 4, 1, 8}

Step-by-step explanation:

the domain is just the x values and the range is just the y values when just a list of cordinates are given.

in △ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. what are the measures of the angles?

Answers

All angles in a triangle add to 180. So, we must add all those expressions together and set them equal to 180.

2x+3+4x+2+2x-1=180
Now we combine like terms (2x+4x+3x is 8x, 3+2-1 is 4)
8x+4=180
Now subtract 4 from both sides (4-4 is 0, 180-4 is 176)
8x=176
Now divide both sides by 8.
x=22.

Now substitute 22 wherever you see x in each expression.

2x+3 = 2(22)+3 = 44+ 3 = 47
4x+2 = 4(22)+2 = 88+2 = 90
2x-1 = 2(22)-1 = 44-1 = 43

So the final answer is A=47°, B=90°, C=43°

To check, add these numbers together and see if they equal 180.

90+43+47 is 180, so the answers are correct.

Numbers 100 to 125 are written on separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking in to it. What is the probability of getting a number 108?

Answers

Answer:

1/25

Step-by-step explanation:

In 100 to 125, the difference is 25.

so, there is only 1 possibility of there being 108 from 100 to 125 so its 1/25

6(-5x - 16) = 30y + 84

Answers

Answer:
-6

Explanation:

Evaluate the expression,
if x = 9, y = 14, and z = 6.
X•y-z2

Answers

Answer:

90

Step-by-step explanation:

6^2=36

9*14=126

126-36=90

Answer:

90

Step-by-step explanation:

X ° Y - z2 =

9 x 14 - 6 x 6 =

126 - 6 x 6 =

126 - 36 = 90

Bodmas is used for this equation, the order of the sums that you should do:

1. The sum in the bracket

2. Division

3. Multiplication

4. Addition

5. Subtraction

Do it left to right, you can do division and multiplication and addition and subtraction too but it's based on left to right.

Simplify 9 x (1/3)2 + 3a -10 whereas "a" stands for 5.

(1/3)2 = one third to the power of 2

Answers

Answer:

24

kobeeeeeeeeee

Step-by-step explanation:

Compounds A and B are used in an experiment.

The equation y=700(0.8)x represents the remaining amount of compound A, in grams, after x hours. The table shows the remaining amount of compound B.

Time (h) Grams of B
1 800
2 400
3 200
What is the positive difference in the initial amount of each compound?

Enter your answer in the box.

Answers

9514 1404 393

Answer:

  900 grams

Step-by-step explanation:

The equation tells you the initial amount of A is 700 grams.

The table tells you B is being cut in half each hour, so the amount when h=0 is 2×800 = 1600 grams.

The difference in the initial amounts is ...

  1600 -700 = 900 . . . grams

Chloe earned a grade of 87% on her multiple choice math final that had a total of 200
problems. How many problems on the final exam did Chloe answer correctly?

Answers

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

Three people attend a concert for $155. Ten attend the same concert for $470. Find the rate of change.

Answers

Answer: 45

Step-by-step explanation:

3 attend for $155    ($51.67 a piece)

10 attend for $470 ($47 a piece)

7 more attend/ adds $315

45 is the rate of change

(sat prep) find the value of x

Answers

Answer:

120 degrees

Step-by-step explanation:

RSM boi

but you actually have to get the values of the angles on the other side so

180-70=110

180-50=130

pretty simple from there

Answer:

120 deegress

Step-by-step explanation:

x + y = z

70 + 50 = x

x = 50+70 = 120

Enumere Cuatro Fuentes de Corriente continua​

Answers

Answer:

La corriente continua es producida por fuentes como baterías, termopares, celdas solares y máquinas eléctricas de tipo conmutador de tipo dínamo. La corriente continua puede fluir en un conductor como un cable, pero también puede fluir a través de semiconductores, aislantes o incluso a través de un vacío como en los haces de electrones o iones. espero que esto te ayude

The measurements of an cuboidal oil box are 30cm, 40cm and 50cm respectively. The cost of the tin sheet used in making the box is Rs. 10 per m². Find the cost of the tin required to make 20 such boxes ?​

Answers

Answer:

Cost of 20 boxes = RS. 188

Step-by-step explanation:

Given:

Length of box = 30 cm  = 0.3m

Width of box = 40 cm = 0.4 m

Height of box = 50 cm = 0.5 m

Cost per m² = Rs. 10

Find:

Cost of 20 boxes

computation:

TSA of box = 2[lb + bh + hl]

TSA of box = 2[(0.3)(0.4) + (0.4)(0.5) + (0.5)(0.3)]

TSA of box = 2[0.12 + 0.2 + 0.15]

TSA of box = 0.94 m²

Cost of 20 boxes = 0.94 x 20 x 10

Cost of 20 boxes = RS. 188

What is the length of the diagonal of a 10 cm by 15 cm rectangle

Answers

Answer:

5 root 13

Step-by-step explanation:

using the pytogorean therom we get

root(10 squared +15 squared)

=root(100+225)

=root(325)

=5 root 13

Find the number of terms in this polynomial. 7g7 + 10g4 – 6g3 + 3g2 - g​

Answers

Answer:

If you have more than 4 terms you say polynomial with the certain number of terms you have. So the answer to this is polynomial with 5 terms.

Hope this helps.

help me with this answer pls!!

Answers

Answer:

1.090909......

Step-by-step explanation:

Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....

I hope this helps!

What is the area of this?

Answers

Answer:

49 cm²

Step-by-step explanation:

Estelle's graduation picnic will cost $15 if it has 5 attendees. If there are 26 attendees, how much will Estelle's graduation picnic cost? Solve using unit rates.

Answers

Answer:

You can try to do a direct rule of three in this exercise.

We can considerr that the relation is proportional and we know that in this case it's dorect, as the more attendees there come, the more Estelle will have to pay, so we can write this and get x:

5 attendees - 15 dollars

26 attendees -  x dollars

x = 26*15 /  5 = 78 dollars

So you know how much Estelle would have to pay

Mr. Lowe had to replace the fluid in his tractor tire. The tire needed 73
gallons of fluid at $1.95 per gallon. About what did it cost to replace the
needed fluid? *

Answers

Answer:

$142.35

Step-by-step explanation:

Find the area of the triangle.

Answers

Answer:

[tex] 28\: ft^2[/tex]

Step-by-step explanation:

Area of the triangle

[tex] = \frac{1}{ \cancel2} \times 7 \times \cancel 8 \\ \\ = 7 \times 4 \\ \\ = 28 \: {ft}^{2} [/tex]

PLS HELP QUICK !!!!!!!

what is the area of this figure?

Answers

Answer:

... what figure?

Step-by-step explanation:

you forgot to add a picture

Answer:

ummmm what...?........

What is the constant of proportionality of y = 7x?

Answers

Answer:

7

Step-by-step explanation:

I did these types of questions for fun in 6th grade

The answer to this question is 7
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