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
Yakvenalex [24]
3 years ago
6

Dennis mowed his next door neighbor's lawn for a handful of dimes and nickles, 80 coins in all. Upon completing the job he count

ed out the coins and it came to $6.60. How many of each coin did he earn?
Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

28 nickels and 58 dimes

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of nickels. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.  

• d+n=80 is an equation representing the total number of coins

• 0.10d+0.05n=6.60 is an equation representing the total value in money based on the number of coin. 0.10 and 0.05 come from the value of a dime and nickel individually.

We write the first equation in terms of n by subtracting it across the equal sign to get d=80-n. We now substitute this for d in the second equation.

0.10(80-n)+0.25n=6.60\\8-0.10n+0.05n=6.60\\8-0.05q=6.60

After simplifying, we subtract 8 across and divide by the coefficient of n.

8-0.05q=6.60\\-0.05q=-1.4\\n=28

We now know of the 80 coins that 28 are nickels. To find the total number of dimes, we subtract 28 from 80 to get 52 dimes.

You might be interested in
Can anyone solve part C?​
nlexa [21]

Answer:

y - 7 = 4(x - 35)

Step-by-step explanation:

The fundamental theorem of calculus states that:

\frac{d}{dx} \int\limits^x_a {f(t)} \, dt = f(x).

So using the fundamental theorem of calculus, you can find that h'(x) = f(x).

The question tells you that f(x) is periodic with a period of 8, so f(x) repeats itself every 8 units.

Using this, you can find that the slope of h(x) at x = 35 is the same as the slope of h(x) at x = 3, which is 4.

The slope of h(x) at x = 35 is 4.

Now I have to find the value of h(x) when x = 35. It is the area under f(x) from 0 to 35.

The area underneath f(x) from 0 to 35 is 7. When x = 35, h(x) = 7.

Now use the point-slope formula to write the equation of the tangent line.

The answer is <u>y - 7 = 4(x - 35)</u>

3 0
3 years ago
Read 2 more answers
Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
4 pairs of pants for 22.60. what is the unit rate?​
Alona [7]

Answer:

$5.65

Step-by-step explanation:

Divide 22.6 / 4.

5.65

Best of Luck!

8 0
3 years ago
If y varies inversely to x and y=9 when x=-6 find x when y=3
Minchanka [31]

Answer: y =21

Step-by-step explanati

8 0
2 years ago
Read 2 more answers
mallorie has $5 in her wallet. If this is 10% of her monthly allowance, what is her monthly allowamce
7nadin3 [17]
10% = 0.1
10% of 5 = 10% x 5 = 0.1 x 5
therefore, the answer is $0.50
4 0
3 years ago
Other questions:
  • What are the correct answers ??
    11·2 answers
  • If Sam buys a $400 iPhone from the Apple store at 25% off and then sells it to Suzy 30% off what he paid how much will Suzy pay
    14·2 answers
  • Which is greater 2/6 or 1/3
    12·2 answers
  • Find x1 and x2.
    8·1 answer
  • What is the length of Line segment A C? Round to the nearest tenth.
    14·1 answer
  • 8. How many ounces of liquid are in 4 gallons
    10·2 answers
  • Why’s the answer to 16 and 17?<br><br> Need help!
    11·1 answer
  • Each square and figure DNE has a side length of one unit compare the area of the two figures which figure has more area how much
    8·1 answer
  • If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​
    10·2 answers
  • I need help ASAP, please save me.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!