Ask question

Ask question

All categories

3 years ago

11

Dan has the same number of nickels and dimes in his piggy bank. If the total amount of those coins is $0.90, how many of each co

in does he have?
And plz answer step by step

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

6.

Step-by-step explanation:

We can start by defining a couple things.

x = amount of nickels

y = amount of dimes

Since he has the same amount of each, we can say this.

x = y

And because we know it totals 0.90, we can say this.

0.05x + 0.10y = 0.90

then, we substitute and get this.

0.05x + 0.10x = 0.90

Simplify.

0.15x = 0.90

Divide both sides by 0.15.

x = 6

So we have 6 nickels, and they both are the same, so we have 6 dimes.

You might be interested in

The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

4 0

3 years ago

What’s 7/12+1/3 in fractions show your work

uysha [10]

The answer is 11/12. (:

5 0

3 years ago

Read 2 more answers

I NEED HELP ASAP The base of a triangle is 10 centimeters and its height is 6 centimeters. What is the area of the triangle?

yKpoI14uk [10]

The answer is c
Because you would double the 30 to make 60

4 0

3 years ago

Read 2 more answers

Which titles fits this Venn diagram best?

elena-14-01-66 [18.8K]

Step-by-step explanation:

I am not sure what that has to do with math. this is more "English" or social studies or something like this.

but clearly "title 2" describes "jobs" and "title 1" describes career paths in general.

people in both churches can be self- or company-employed.

so, the second answer option ("Careers" and "Jobs") is right.

4 0

3 years ago

11. A 3000-kg truck moving rightward with a speed of 5 km/hr collides head-on with a 1000-kg car moving leftward with a speed of

12345 [234]

Yo qreo que es un 3000-kg porque eles mal

7 0

3 years ago