1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lutik1710 [3]
3 years ago
12

Ms. Fraser has 12 coins in her pocket which are dimes and nickels. If she has 85 cents in all, how many of each coin does she ha

ve? Show all of your work on your notebook paper.*
I will have whoever answers this question as to the brain list
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

She have 5 number of dimes and 7 number of nickel

Step-by-step explanation:

let

number of dimes = a

number of nickels = b

Total number of dimes and nickel can be expressed as follows:

a + b = 12 ..........(i)

Total cost of dimes and nickel can be express below:

1 dimes = 10 cents

1 nickel = 5 cents

10a + 5b = 85...........(ii)

combine the equation

a + b = 12 ..........(i)

10a + 5b = 85...........(ii)

a = 12 - b

insert the value of a in equation (ii)

10(12 - b) + 5b = 85

120 - 10b + 5b = 85

120 - 5b = 85

120 - 85 = 5b

35 = 5b

divide both sides by 5

b = 35/5

b = 7

Insert the value of b in equation (i)

a + b = 12 ..........(i)

a + 7 = 12

a = 12 - 7

a = 5

She have 5 number of dimes and 7 number of nickel

You might be interested in
A bookstore sold 25 books in 5 days. At this rate
Sonbull [250]

Answer:

20 days

Step-by-step explanation:

We multiply 25 by 4 to get 100, then multiply 5 by 4 to get 20.

5 0
3 years ago
Read 2 more answers
You have 24 months left until you graduate and you plan on buying yourself a new $20,000 car on graduation day. If you invest $3
shusha [124]

Answer: No, the money won't be enough to buy the car

Step-by-step explanation:

you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.

The principal amount, p = 300

He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So

n = 4

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for a total of 24 months. This is equivalent to 2 years. So

n = 2

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount that would be compounded at the end of n years.

A = 300(1 + (0.04/4)/4)^4×2

A = 300(1 + 0.01)^8

A = 300(1.01)^8

A = $324.857

The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car

3 0
4 years ago
Write an algebraic expression to represent each verbal expression. 5 times the sum of a number and 1
11111nata11111 [884]

Answer: 5(x+1)

Step-by-step explanation:

Let the number be x

Sum of number and 1 is x+1

5 times the sum is 5(x+1)

3 0
3 years ago
What is the function graph if both the domain and range is (−∞, ∞)
velikii [3]

Answer:

(−∞, ∞) and (−∞, ∞)

Step-by-step explanation:

One example (of many) might be y = 2x.  The domain and range of this function are (−∞, ∞) and (−∞, ∞).

7 0
3 years ago
Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of
ale4655 [162]

Answer: 4 seconds

Step-by-step explanation:

Given: The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.

Differentiate the given function with respect to t , we get

h'(t)=-36(2)t+288=-72t+288

Put h'(t)=0

\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4

Also, h''(t)=-72

By second derivative test, h(t) is maximum at t=4.

Hence, the time in Devon which the ball reaches it maximum height = 4 seconds

3 0
3 years ago
Other questions:
  • Simplify and solve this equation for q: 3p+5+2p-5=65
    6·1 answer
  • If a couple plans to have 8 ​children, what is the probability that there will be at least one boy​? Assume boys and girls are e
    11·1 answer
  • What are the solutions of the quadratic equation?
    10·2 answers
  • The centroid of a triangle is at (8, 7). One vertex of the triangle is at (0, 1). What is the midpoint of the side opposite this
    9·1 answer
  • What’s seven more than the quotient of a number and 2 is 10
    9·1 answer
  • C is the midpoint of bc, bc = 7 and CD = 3x- 5 what is the value of x
    7·2 answers
  • Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 −
    8·2 answers
  • URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!!
    13·1 answer
  • F(x)=4x+1<br> g(x)=−4x−1<br> Write g in terms of f
    12·1 answer
  • there are 6 studenjts in the class. one of them is to be selcted as the best studen and another student is to be selceted as a r
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!