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
Olin [163]
3 years ago
14

Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how

many coins of each type does she have
Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

You might be interested in
Austin purchase 2/3 of a pound of yum yum treats. If yum yum treats are $6.00 per pound how much does Austin pay
Oksi-84 [34.3K]
1. The information given in the problem above, is:

 - Austin purchases <span>2/3 of a pound of yum yum treats.
 - Y</span><span>um yum treats are $6.00 per pound (1 pound=$6.00).

 2. Keeping this on mind you have: If 1 pound of </span>yum yum treats is $6.00, how much is 2/3 of a pound?

 1 pound------------$6.00
 2/3 of a pound----x

 x=(2/3)(6.00)/1
 x=(2/3)(6.00)
 x=12/3
 x=$4.00
<span>
 Therefore: How much does Austin pay?
</span>
 The answer is: Austin pays $4.00.
5 0
3 years ago
Find the ratio in simplest form.<br><br> 30:6<br><br> A. 1:5<br> B. 4:1<br> C. 5:1
nekit [7.7K]
ANSWER

The simplest form of the ratio
30:6
is

5:1


EXPLANATION

The ratio given to us is
30:6


We can divide each term in ratio by the same number.


To find the ratio in the simplest form we divide the terms in the ratio by their highest common factor, which is
6.


This implies that,

30:6 =  \frac{30}{6} : \frac{6}{6}


We simplify this to obtain,



30:6 = 5: 1


The correct answer is C.



Alternatively,


30:6 =   \frac{30}{6}


30:6 =   \frac{5}{1}


This implies that,


30:6 =   5:1



6 0
3 years ago
Read 2 more answers
What is the approximate area of a circle with a radius of 3ft? *
Ad libitum [116K]
The answer is 28.26 because to find the area of a circle you need to do pie time radius squared.
5 0
3 years ago
Malia has her $ 10.00 allowence to spend at the fall carnival. She decides to order two ice cream cones for herself and her sist
Ierofanga [76]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If f(x) = 9x10 tan−1x, find f '(x).
djverab [1.8K]

Answer:

\displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)  

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                             \displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = 9x^{10} \tan^{-1}(x)

<u>Step 2: Differentiate</u>

  1. [Function] Derivative Rule [Product Rule]:                                                   \displaystyle f'(x) = \frac{d}{dx}[9x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  2. Rewrite [Derivative Property - Multiplied Constant]:                                  \displaystyle f'(x) = 9 \frac{d}{dx}[x^{10}] \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  3. Basic Power Rule:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + 9x^{10} \frac{d}{dx}[\tan^{-1}(x)]
  4. Arctrig Derivative:                                                                                         \displaystyle f'(x) = 90x^9 \tan^{-1}(x) + \frac{9x^{10}}{x^2 + 1}

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0
2 years ago
Other questions:
  • Richard has a rectangular plot of land that is 525 feet long and y feet wide. He decides to build a fence around the plot. If th
    15·2 answers
  • Y = 12 <br>2x -y = 4<br><br>What is the solution of the system?​
    5·2 answers
  • Lara takes 40 minutes to drive 20 miles north and then 20 miles south to end up at the same place. Calculate average speed and a
    6·1 answer
  • I need help making the sentence make sense
    14·1 answer
  • A skydiver falls 125 feet in 5 seconds. How far does the skydiver fall per second?
    14·2 answers
  • Fill in the blanks to the picture above
    15·2 answers
  • film processing costs $4.95, plus $0.35 for each picture printed. Milan paid $11.95 for processing and printing. How many pictur
    13·1 answer
  • 0.2 divide by 0.4 is 0.5
    15·1 answer
  • Mia had $40 dollars . Then she started to receive $5 dollars a week as an allowance. She plans to save all of her money for a bi
    11·1 answer
  • The length from one point to another that is a portion of the curve of the circle is called:
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!