zoe has a total of 16 coins. some of her coins are dimes and some are nickels. The combined value of her nickels and dimes is 1.35. How many nickels and dimes does she have?

Answers

Answer 1

Given:

In 16 coins some coins are dimes and some are nickels.

The combined value of her nickels and dimes is 1.35.

To find:

The number of nickels and dimes.

Solution:

We have,

Number of total coins = 16

Combined value = $1.35

Let x be the number of nickels and y be the number of dimes.

Total coins: [tex]x+y=16[/tex]              ...(i)

We know that,

1 nickel = $0.05

1 dime = $0.10

Combined value: [tex]0.05x+0.10y=1.35[/tex]          ...(ii)

From (i), we get

[tex]y=16-x[/tex]           ...(iii)

Putting this in (ii), we get

[tex]0.05x+0.10(16-x)=1.35[/tex]

[tex]0.05x+1.60-0.10x=1.35[/tex]

[tex]-0.05x=1.35-1.60[/tex]

[tex]-0.05x=-0.25[/tex]

Divide both sides by -0.05.

[tex]x=\dfrac{-0.25}{-0.05}[/tex]

[tex]x=5[/tex]

Putting x=5 in (ii), we get

[tex]y=16-5[/tex]

[tex]y=11[/tex]

Therefore, the number of nickels is 5 and the number of dimes is 11.


Related Questions

Stock prices for a certain company start at $12 per share an increase at a rate of
$2 per month. Write an equation of the function of the value of the stock price v,
as a function of the number of month that have passed, m.

Answers

Step-by-step explanation:

V = $12

M = The number of months

So, function = v + $2m

Lets take an Example = for example the stock price now is $20

V + $2m = $20

V = $12

So, 12 + $2m = 20

$2m = 20 - 12

$2m = 8

m = 8/2

m = 4

So this used we can easily find the number of months

Now let's try with the stock price only

The total now is $24

And 6 months passed

v + $2m = $24

v + $2(6) = $24

v + $12 = $24

v = $24 - $12

v = $12

So we got the same stock price

We found with this function the stock price as well as the number of months

Hope this answers ur question!

Multiply.
(5x + 4)^2

Answers

Answer: 25x^2 + 40x + 16

Explanation: Apply perfect square formula
(5x)^2 + 2 * 5x * 4 + 4^2
Simplify

The multiplication of the given equation i.e. [tex](5x + 4)^2[/tex] should be considered as the [tex]25x^2 + 40x + 16[/tex].

Calculation of the equation:

Since the given equation is [tex](5x + 4)^2[/tex]

We have to break this equation

So, it can be like

[tex](5x)^2 + 2 \times 5x \times 4 + 4^2[/tex]

[tex]25x^2 + 40x + 16[/tex]

Hence, we can conclude that The multiplication of the given equation i.e. [tex](5x + 4)^2[/tex] should be considered as the [tex]25x^2 + 40x + 16[/tex].

Learn more about an equation here: https://brainly.com/question/17069398

I don’t know this question please help me!!!

Answers

Answer:

5

Step-by-step explanation:

150 diveded by 30 is 5

Answer:

It sounds like 5 months, but the wording you chose is a little strange. What are the other wording options?

Step-by-step explanation:

150/30=5.

I hope this helps.

-2 and 4
what is the slope intercept form

Answers

Answer:

y=4x-2

Step-by-step explanation:

Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?

Answers

Elysa would have to save money for 6 weeks to afford the glove

46.50-15= 31.5/5.25= 6

6 weeks is the answer.

How do you know 4/5 is already simpless? Explain

Answers

Answer:

cause u cant make it more simpler

Step-by-step explanation:

4 and 5 cannot bbe cancelled by any number

Answer:

you can simply a fraction with even and odd numbers

what is the simplified form of the expression
[tex] \sqrt[3]{27} [/tex]

Answers

simplified form of the expression

[tex] \sqrt[3]{27} [/tex]

Answer:

[tex]\rightsquigarrow[/tex] [tex]\tt{\sqrt[3]{27} }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{\sqrt[3]{3×3×3} }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{3 }[/tex] ⠀

A coupon for 60% off has been awarded to the first 50 customers at a
new restaurant and you were 12th in line! Woohoo! If your bill was $12.80,
how much will you save

Answers

Answer: you will save $7.68 but you will spend $5.12

Step-by-step explanation: 12.8 x 0.6

George is in charge of
prepping a pinata for a
party. He puts 72 pieces of
candy in the pinata. If
each person gets 2/8 of the
candy, how many pieces of
candy will each person
receive?

Answers

It would most likely be that each person gets 18 pieces of Candy

Solve the following
equations for r:
9r - 66 = 116 - 4r

Answers

Answer:

r = 14

Step-by-step explanation:

9r - 66 = 116 - 4r

+4r                 +4r

13r - 66 = 116

     +66    +66

13r = 182

divide both sides by 13

r = 14

Hope this helps!!!

45 =p x 60
NEED HELP ASAP

Answers

Answer:

p = 3/4 or 0.75

Step-by-step explanation:

your equation: 60p = 45

divide both sides by 60: p = 45/60

simply the fraction by dividing the numerator and denominator by 15: p = 3/4

your answer: 3/4 or 0.75

Answer: p = 75%

Step-by-step explanation:

p = 45/60 then divide that by 15/15

so 45 divided by 15 is 3

and 60 divided by 15 is 4

this equals too 3/4 = 0.75

0.75 = 75%

You complete 40% of ur hw problems before dinner what fraction of the problems did u complete before dinner

Answers

Is there any answer choices? I believe it is 2/5

Please help please please

Answers

Answer:

x= 11.04

................

Suppose x varies directly with y and x=29 when y=-87. What is the constant of variation
and what is the value of x when y=-189

Answers

Answer:

x = -71

Step-by-step explanation:

If it correlates together than it goes down a total of -102.

Helppppp me please ???

Answers

Answer:

176•74

Step-by-step explanation:

area of circle is πr^2

π=3•142

r=7•5

3•142×7•5×7•5

=176•737

176•74

In a crate, there are 40 apples. 3 of the apples are bad. What percentage of the apples are good?

Answers

Answer:

40-3

37/40 x100

92.5%

I hope this helps

PLEASE HELP QUICKLY WILL GIVE BRAILYST IF CORRECT

Answers

Answer:

It depends on which side you are talking about.  

Plzzzz give me Brainliest!  

Amir drove 165 miles in three hours . What was his speed in miles per hour

Answers

Answer:

165 divided by 3 55 miles per hour

Step-by-step explanation:

divide 165 by 3

equals to 1 hour

0.93+0.80 rounded to the nearest whole number

Answers

Answer:

1.73 rounded to the nearest whole number is 2

Answer: 2

Step-by-step explanation: 1.73 since 7 is high round up.

6. What is the slope of the line pictured?​

Answers

Answer:

-1/3

Step-by-step explanation:

We can do this by counting the number of spaces away the points shown are. Starting from the leftmost point, you move down one, or -1, units, and right 3 units. Since slope is defined as rise over run, you can then say that the slope is:

-1/3

Hope this helps!

Simplify the expression. ( 5 x 2 − 3 x ) − ( 5 x 2 − 3 x + 1 )

Answers

Answer:

-1

Step-by-step explanation:

Following PEMDAS The answer equals to -1

*plssss make me brainlist*

Answer:

Let's simplify step-by-step.

5x2−3x−(5x2−3x+1)

Distribute the Negative Sign:

=5x2−3x+−1(5x2−3x+1)

=5x2+−3x+−1(5x2)+−1(−3x)+(−1)(1)

=5x2+−3x+−5x2+3x+−1

Combine Like Terms:

=5x2+−3x+−5x2+3x+−1

=(5x2+−5x2)+(−3x+3x)+(−1)

=−1

Step-by-step explanation:

Show your work

7n2 + 9k2 + 6 6n Submit​

Answers

Answer:

9 ( -10 - 10y )

Step-by-step explanation:

Marcus has a circular rug in his room . if the diameter of the rug is equal to the length of the bedroom floor , what is the circumference of his rug ?

Answers

Answer:

37.68ft

Step-by-step explanation:

circumference = πd

12*π=37.68ft

Mildreda bought 3 boxes of pencils. There were 4 pencils in each box. Which shows how Mildreda could figure out how many pencils she bought?

Answers

Answer: 12

Step-by-step explanation:

4 x 3 =12

line that is parallel y=-1.25x+7

Answers

It’s 1010010183829919272 your welcome!

2/3b+5=20-b
can someone help me out plz because i keep getting this wrong

Answers

Answer:

b=9.

Step-by-step explanation:

Jamal reads every day. He read 55 pages on Tuesday, which is 25% less than what he read on Monday. How many total pages did Jamal read on Monday and Tuesday? Write solution as a mixed number

Answers

35 is the answerrrrrrrrr

Answer:

68/.75

Step-by-step explanation:

Rewrite the expression without parenthesis
8(2x + 1)

Answers

16x+8 should be your answer

Answer: 16x+8

Step-by-step explanation:

you use the distributive property. 8 * 2x = 16x and 8 * 1 = 8

Please help me if you can

Answers

Answer:

Area_3 = 25

Distance from Washington to Springfield = 70.7 miles

Step-by-step explanation:

Two

If one side of a square is 50 miles, all sides are.

a^2 + b^2 = c^2

You are looking for c.  a and b both equal 50

50^2 + 50^2 = c^2

c^2  = 2500 + 2500

c^2 = 5000

√c^2 = √5000

c = 70.7 miles

One

Again you are using a^2 + b^2 = c^2

c = 169

Perimeter of square 2  = 48

a = ?

a is square 3.b is square 2c is square 1

4s =  48  

s = b = 48/4

s = b = 12

area_2 = s^2

Area_2 =12^2

Area_2 = 144

Area_ 1^2 - Area_2 ^2 = Area_3^2

169 - 144 = Area_3^2

side_3 = sqrt(25)

area= 25

Jonah is going to the hardware store for his Uncle Frederick. He needs to buy 4 yards of electrical wire and 14 quarts of liquid nails The store only sells wire by the foot. How many feet does Jonah need? (3 ft = 1 yd)

Answers

Answer:

Jonah needs 12 feet of electrical wire.

Step-by-step explanation:

[tex]\frac{3 feet}{1 yard}[/tex]= [tex]\frac{x}{4 yards}[/tex]

cross multiply

12 yard × ft = 1 yard x

12÷1=12

12 feet of wire.

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