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
Nesterboy [21]
2 years ago
15

7. Jerry has 23 coins in nickels, n, and dimes, d. He

Mathematics
1 answer:
aliya0001 [1]2 years ago
7 0

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

You might be interested in
a cylindrical tinfull of engine oil has a diameter of 12cmand the height of 14cm.the oil is poured into a rectangular tin 16cm l
steposvetlana [31]

Find the volume of the cylinder using the formula v = pixr^2 x height

V= 3.14 x 6^2 x 14 = 1,582.56 cubic cm

Area of of the rectangle = 16 x 11 = 176 square cm

The height will be the volume divided by the area

Height =1582.56/176 = 8.99 cm

The height is 8.99 cm ( round off as needed)

3 0
2 years ago
Write an equivalent expression for 4.5x(2 - 6)
ki77a [65]

4.5x(2 - 6) \\  \\ 1. \: 4.5x \times  - 4 \\ 2. \:  =  - 18x

5 0
2 years ago
Read 2 more answers
You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

                                                    = $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0
2 years ago
One number is -3 times the first number. The sum of the numbers is -4. What is the second number?
kobusy [5.1K]
Lets say that the first number is x and the second number is y.
from the question we know that:
y=-3x and x+y=-4
from there, you need to replace the y in the second equation with -3x since we know that is what y equals so we can have an equation with only one variable.
x+-3x+-4
Then you solve for x.
-2x=-4
x=2
then you find y with the fact that y=-3x
y=-6
6 0
2 years ago
Hal earns n dollars per hour. Next month he
xenn [34]

Answer:

Total = 1.02n

Step-by-step explanation:

Given

Earnings = n

Raise = 2\% --- <em>not 296</em>

Total = n + 0.02n

Required

Simplify the expression for total earning

The total amount is derived from:

Total = Earnings + Raise * Earnings

Total = n + 2\% * n

Express percentage as decimal

Total = n + 0.02 * n

Now, we can solve further:

Total = n + 0.02n

Total = 1.02n

<em>Hence, the simplified expression is 1.02n</em>

8 0
3 years ago
Read 2 more answers
Other questions:
  • If $10000 is invested at a rate of 2.3% compounded continuously, find the balance in the account after 15 years.
    8·1 answer
  • Jim &amp; Jesse each had the same amount of money. Jim spent $58 and Jesse spent $37. Afterward, the ratio of Jim's money to Jes
    7·1 answer
  • A car rental firm has the following charges for a certain type of car: $25 per day with 100 free miles included, $0.15 per mile
    15·1 answer
  • If you are riding your bike west to your friend’s house, and you ride the 1.25 miles in 5 minutes, what is your velocity, in mil
    6·1 answer
  • Someone please help i have a time limit on this.
    13·1 answer
  • Please I need help, can’t figure it out<br> Thank you
    5·2 answers
  • Please help!!!!
    8·1 answer
  • Can someone answer this for me please and ASAP!
    12·2 answers
  • I am not sure of the answer which one of the option is it?
    11·1 answer
  • WILL MARK BRAINLIEST PLS HELP. Fill in the table by following the rules provided for each backpack.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!