answer.
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
Valentin [98]
2 years ago
4

Nora works at a donut shop. At the end of her shift, the change in the tip jar totals $13.05. The jar contains quarters, dimes,

nickels. The number of dimes is 3 more than twice the number of nickels and the number of quarters is 1 less than three times the number of nickels. Find the number of dimes in the jar.
Mathematics
1 answer:
Alenkasestr [34]2 years ago
7 0

Answer

Find out the number of dimes in the jar.

To prove

Let us assume that the number of nickels be x .

As given

At the end of her shift, the change in the tip jar totals $13.05.

The jar contains quarters, dimes, nickels.

The number of dimes is 3 more than twice the number of nickels .

The number of quarters is 1 less than three times the number of nickels.

Than the number of dimes = 3 + 2x

Than the number of quarters = 3x - 1

As

1 dime = $0.10

1 quarters = $ 0.25

1 nickels = $ 0.05

Than the equation becoms

0.10 × (3 + 2x) + 0.05x + 0.25 × (3x-1) = 13.05

0.3 + 0.2x + 0.05x + 0.75x - 0.25 = 13.05

0.2x + 0.05x + 0.75x = 13.05 - 0.3 + 0.25

x = 13

The number of dimes in the jars =  3 + 2x

                                                     = 3 + 2 × 13

                                                     = 29

Therefore the number of  dimes in the jar is 29 .




You might be interested in
-
melomori [17]

Answer: an increase in the average speed a car travels and a decreased in the time it takes to reach the destination

Step-by-step explanation:

7 0
2 years ago
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real n
e-lub [12.9K]

Answer:

See Below

Step-by-step explanation:

The function is a piecewise function defined as:

N(t)=\left \{ {{25t+150} \ 0 \leq t \leq 6 \atop {\frac{200+80t}{2+0.05t} \ t \geq 8}} \right.

a)

We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).

We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

\lim_{t \to \infty} \frac{200+80t}{2+0.05t} \\\lim_{n \to \infty} \frac{80t}{0.05t}\\ \lim_{n \to \infty} \frac{80}{0.05} =1600

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.

b)

A function is continuous at a point if we have the limit and the functional value at that point same.

Functional value at t = 8 is (we use 2nd part of equation):

\frac{200+80t}{2+0.05t}\\\frac{200+80(8)}{2+0.05(8)}\\=350

We do have a value and limit also goes to this as t approaches 8.

So, function is continuous at t = 8

c)

We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:

N(t)=25t+150\\250=25t+150\\25t=250-150\\25t=100\\t=4

The time is 4 years when the number of fishes in the pond is 250

6 0
2 years ago
An object is thrown from a height of 5 in. After 2 s, the object reaches a maximum height of 9 in, and then it lands back on the
Marta_Voda [28]

Answer:

y=-(x-2)^2+9

Step-by-step explanation:

Hope this helps

7 0
2 years ago
Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot
patriot [66]

Answer:

  8r^4

Step-by-step explanation:

  \sqrt{64r^8} =\sqrt{(8r^4)^2}=\boxed{8r^4}

5 0
2 years ago
There are 40 girls and 32 boys who want to participate in the relay race. If each team must have the same number of girls and bo
xxMikexx [17]

Answer:

8 teams

5 girls and 4 boys

Step-by-step explanation:

To determine how many teams we can have , we need to determine the greatest common factor.

 girls:40 = 5*8

boys:32 = 4*8

The greatest common factor is 8

So we will have 8 teams

There will be 5 girls and 4 boys on each team

6 0
2 years ago
Other questions:
  • When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?
    12·2 answers
  • A city planner is mapping the population of residents in the city. he has enough time to map only a small sample of the populati
    7·2 answers
  • Explain how you would use fraction bars to find the quotient of 10/12 ÷ 4/6. What is the quotient?
    11·2 answers
  • The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
    7·1 answer
  • Rename 24 ten thousands
    13·2 answers
  • A production system has a total daily output of 400 units and a total labor of 350 hours, what kind of productivity measure can
    7·1 answer
  • Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data
    14·2 answers
  • Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants
    15·1 answer
  • a shopkeeper had purchased 400 products for $40 each the goods did not sell due to quality issues he sold them to a scrap dealer
    8·1 answer
  • In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your a
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!