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
sergey [27]
3 years ago
15

Sasha has some pennies, nickels, and dimes in her pocket. The number of coins is 16. The expression 0.01p+0.05n+0.10d represents

the value of the coins, which is $1.22. She has twice as many nickles as pennies. How many of each coin does Sasha have?
Mathematics
1 answer:
uysha [10]3 years ago
3 0
I would like to use cents

p+n+d=16
1p+5n+10d=122
twice as many nicklese a pennies, n=2p

sub 2p for n
p+2p+d=16
1p+5(2p)+10d=122
simplified
3p+d=16
1p+10p+10d=122

3p+d=16
11p+10d=122
now solve
use subsitution

3p+d=16
minus 3p from both sides
d=16-3p
sub 16-3p for d in other equation

11p+10(16-3p)=122
11p+160-30p=122
160-19p=122
minus 160 both sides
-19p=-38
divide both sides by -19
p=2

sub back
n=2p
n=2(2)
n=4

d=16-3p
d=16-3(2)
d=16-6
d=10


2 pennies
4 nickles
10 dimes


You might be interested in
Three friends decide that they each want to be able to buy a new bike in four years.IIiana puts $500 in a savings account with a
Lisa [10]

Answer:

Iliana will have the most money, with a total of $580

Step-by-step explanation:

We can find the amount of money that each one will have using the formulas of interest:

For Iliana and Joann, simple interest: Total money = P + P*r*t

For Cyndy, compound interest: Total money = P*(1+r)^t

So, using the time of four years, we can calculate the total money of each one:

Iliana: P = 500 and r = 0.04:

Total money = 500 + 500*0.04*4 = $580

Joann: P = 515 and r = 0.03:

Total money = 515 + 515*0.03*4 = $576.8

Cyndy: P = 500 and r = 0.035:

Total money = 500*(1+0.035)^4 = $573.7615

So Iliana will have the most money, with a total of $580

6 0
2 years ago
Read 2 more answers
Which expression represents a<br> positive integer?<br> F. – 6²<br> H. (-5)<br> G. (-3)<br> 1.-23
marta [7]
F -6*-6 = 36 which is a positive interger
3 0
2 years ago
Two joggers run 8 miles north and then 5 miles west. What is the shortest
Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles

The shortest distance to the starting point is 9.4 miles

4 0
2 years ago
Is 14 a solution for the equation -5 + 2x = 23? Explain.
Mila [183]

Answer:

Yes because after solving the equation, x does indeed equal 14.

Step-by-step explanation:

-5 + 2x = 23

2x = 23 + 5

2x = 28

x = 14

8 0
3 years ago
Read 2 more answers
jordan solved 6 × 5 by breaking apart the 6 into 5 + 1. which of the following correctly shows the next step to find the solutio
AleksandrR [38]
D, it’s the only answer that equals 30. When splitting up the 6, you’re doing the distributive property, which is what D is doing.
7 0
3 years ago
Read 2 more answers
Other questions:
  • In the past you paid $800$800 per month to rent your apartment. You now pay $900$900 per month for your rent. What is the percen
    13·2 answers
  • Is this correct? (no actually answering, just tell me if it's right) plz
    11·2 answers
  • What shape is produced when slicing a hexagonal prism perpendicular to the base?
    8·1 answer
  • Adionte writes this problem:
    6·1 answer
  • Given the following sets.
    12·1 answer
  • What is the surface area of a cereal box with length of 8 width of .75 and a height of 1.50
    7·2 answers
  • Estimate.<br> 24.12 dived by 8.1 <br><br> A. 2<br> B. 2.9<br> C. 3<br> D. 3.9
    8·2 answers
  • What fraction is equivalent to - 3/2
    15·1 answer
  • Solve for x: 5x + 15 = 28<br><br> A: 43/5<br> B: 13/5<br> C: 13<br> D: 43
    14·2 answers
  • In the given figure, if a:b=10:13, then /_xoy equals.​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!