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
Vesnalui [34]
3 years ago
11

James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?

Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

You might be interested in
Nina wants to put color tiles on a square three color tiles fit across the top of the square how many rows and Columns of the sq
Nonamiya [84]
Nina will need 3 columns,3 rows and she will use 9 squares in all. 
Hope that helped
8 0
3 years ago
What is a quadrilateral that has no lines of symmetry
gogolik [260]

Answer:

A parallelogram is a quadrilateral with no axis of line symmetry.

8 0
3 years ago
Read 2 more answers
Pls help...also ill mark brainlest
pentagon [3]

Answer:

D

Step-by-step explanation:

I think it is D

4 0
2 years ago
Ivuviivivivvivuvuccucucyc
bija089 [108]

asdfghauyrugvo bnidfassfasag

6 0
3 years ago
GreenBeam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a m
Harrizon [31]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 3.50 mg  

     Alternate Hypothesis, H_A : \mu > 3.50 mg

(b) The value of z test statistics is 2.50.

(c) We conclude that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg.

(d) The p-value is 0.0062.

Step-by-step explanation:

We are given that Green Beam Ltd. claims that its compact fluorescent bulbs average no more than 3.50 mg of mercury. A sample of 25 bulbs shows a mean of 3.59 mg of mercury. Assuming a known standard deviation of 0.18 mg.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average mg of mercury in compact fluorescent bulbs.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 3.50 mg     {means that the average mg of mercury in compact fluorescent bulbs is no more than 3.50 mg}

Alternate Hypothesis, H_A : \mu > 3.50 mg     {means that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg}

The test statistics that would be used here <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                          T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean mg of mercury = 3.59

            \sigma = population standard deviation = 0.18 mg

            n = sample of bulbs = 25

So, <em><u>test statistics</u></em>  =  \frac{3.59-3.50}{\frac{0.18}{\sqrt{25} } }

                               =  2.50

The value of z test statistics is 2.50.

<u>Now, P-value of the test statistics is given by;</u>

         P-value = P(Z > 2.50) = 1 - P(Z \leq 2.50)

                                             = 1 - 0.9938 = 0.0062

<em />

<em>Now, at 0.01 significance level the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the average mg of mercury in compact fluorescent bulbs is more than 3.50 mg.

6 0
3 years ago
Other questions:
  • A cylinder has a radius of 12 m and a height of 9 m. What is the exact volume of the cylinder? 108π m³ 216π m³ 972π m³ 1296π m³
    11·2 answers
  • What is divided 89 into 4356?
    12·1 answer
  • Can someone please help me look at the picture
    12·1 answer
  • What are qualities of a square?
    10·2 answers
  • What is the result of converting 14 inches into centimeters
    10·1 answer
  • Round 649,418 to the nearest hundred
    10·2 answers
  • In your job as a grocery cashier, a customer gives you a $20 bill to pay $3.99 for coffee, $3.49 for coffee creamer, and $7.29 f
    9·2 answers
  • Lara employed a residential cleaning service to tidy up her home. They charged her $150 for 3
    5·1 answer
  • What is the x-coordinate of point B? Write a decimal coordinate.
    15·2 answers
  • A landscaping service company charges customers a one-time fee and an hourly rate of $15. For 1 hour of service, the company cha
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!