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
IRINA_888 [86]
3 years ago
11

Keith has p pennies, n nickels, and d dimes in his pocket. The total number of coins is 9. The expression 0.01p+0.05n+0.10d repr

esents the value of the coins, which is equal to $0.44. He has one more dime than nickels. How many pennies does Keith have? Keith has _____ pennies.
Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0

he  has 4 pennies

2 nickels=10 cents

3 dime=30 cents

             20 cents

40 +4 pennies =44 cents

Olenka [21]3 years ago
7 0

Answer:

Keith has 4 pennies, 3 dimes and 2 nickels.

Step-by-step explanation:

Let the pennies be = p

Let the nickels be = n

Let the dimes be = d

Total coins Keith has = 9

So, 1st equation form :

p+n+d=9     ....(1)

Keith has one more dime than nickels, means d=n+1   .....(2)

Total value of these coins is $0.44

So, third equation forms:

0.01p+0.05n+0.10d=0.44   .....(3)

Substituting (2) in (1)

p+n+n+1=9

p+2n=8     .....(4)

Similarly substitution (2) in (3)

0.01p+0.05n+0.10(n+1)=0.44

0.01p+0.05n+0.10n+0.10=0.44

0.01p+0.15n=0.34    ....(5)

Now multiplying (4) by 0.01 and subtracting by (5)

0.01p+0.02n=0.08 subtracting this from (5) we get

0.13n=0.26

So, we get n = 2

p+2n=8

p+2(2)=8

p+4=8

p = 4

p+n+d=9

4+2+d=9

6+d=9

d = 3

-------------------------------------------------------------------------------------

Therefore, Keith has 4 pennies, 3 dimes and 2 nickels.

You might be interested in
The distance between 5,-8 and 5,7 hurry please
solmaris [256]

Answer:

it should be 15

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co
ycow [4]

Answer:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

4 0
3 years ago
34.1 divided by what equals 22
allochka39001 [22]
I hope this helps you

3 0
3 years ago
Read 2 more answers
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. Wh
umka21 [38]

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

<u>Find Unit Rate</u> : 5/2= 2.5

Unit Rate for Silvia is  2.5

<u>Written out</u> : 2 pages x 2.5 = 5 minutes

<u>Example</u> : 1 page to 2.5  minutes

<u>What we found</u> : ___ pages to 60 minutes(60 divided by 2.5) is  

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

<u>Find Unit Rate</u> : 6/3= 2

Unit Rate for Silvia is  2

<u>Written out</u> : 3 pages x 2 = 6 minutes

<u>Example</u> : 1 page to 2  minute

<u>What we found</u> : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes  </h2>

<u>Final Step</u> : 30 - 24 = 6

7 0
3 years ago
Jacks plant grew 50 inches in 100 weeks at this rate how much did it grow in 210 days
denpristay [2]
210 days* (1 week/ 7 days)* (50 inches/ 100 weeks)= 15 inches.
(Note that the units cancel out so you get the answer)

Final answer: 15 inches~
3 0
3 years ago
Other questions:
  • How many pounds of bananas cost $3.75?
    9·1 answer
  • Show that the number 6 is a rational number by finding a ratio of two integers equal to the number.
    12·1 answer
  • A rod was cut into 3 piece the length of the 3 piece are in the ratio of 5 : 3 :2 if the shortest is 25cm how long was the rod ​
    7·1 answer
  • What is f(2) of the function?<br> F(x)=4x+1
    14·1 answer
  • I need help with this problem (it's number 3)
    15·1 answer
  • PLSSSSSSSSHELPMEPLSSSSSS
    5·2 answers
  • Why the neutron has no charge?
    15·2 answers
  • art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how man
    13·1 answer
  • Evalueate-2/5-x(-9/10) where x= 4/5​
    5·2 answers
  • Helpppppppppppppppppp
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!