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
olasank [31]
2 years ago
5

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount., bu

t each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer: Let x represent the cost of one of Tanya's items.

Then the cost of one of Tony's items =x - 2.25. But we have:

3x =4(x - 2.25)

3x =4x - 9 subtract 3x from both sides

0 =x - 9 add 9 to both sides

x=$9 The cost of one of Tanya's items

27 Total cost of Tanya's 3 items

2.25 =$6.75 cost of one of Tony's items.

27 Total cost of Tony's 4 items.

3 x 6.75 =$27. This shows that both Tony and Tanya spent the same amount of money.

Step-by-step explanation:

You might be interested in
What is the solution to the equation below? Round your answer to two decimal places. HELP PLEASE PLEASE HELP PLEASE ASAP PLEASE
Assoli18 [71]

the award is a x=1.43

6 0
3 years ago
2 3/4-3 3/8÷4 1/2 plus show ur work
sladkih [1.3K]

Answer:

149/60

Step-by-step explanation:

11/4-27/8*1/4*1/2

11/4-27/64

149/64

8 0
3 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Alex17521 [72]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

3 0
2 years ago
Read 2 more answers
Solve x^2 – 7x = -13.
lara31 [8.8K]

Answer:

No solutions I think

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Jim spent $46.16 on some mulch and one shovel. Each bag of mulch costs $3.49 and the shovel cost $14.75. How many bags of mulch
mezya [45]
To find the amount he spent on bags of mulch you must take the cost of the shovel away from the total, giving the equation:
46.16-14.75=3.49x
To covert this to whole numbers, multiply by 100
4616-1475=349x
3141=349x
x=9
4 0
3 years ago
Other questions:
  • Krista is planning to mow her grandparents lawn the rectangular yard is 10 yards by 12 yards but there is a square patio that ha
    7·1 answer
  • What is 2x+13-5=7x-30
    10·2 answers
  • What is the equation of a line that passes through the points (0,5) and (4,8)? Write your answer in slope-intercept form.
    6·1 answer
  • 1. How many complex roots does the polynomial equation have?
    5·2 answers
  • Find the indicated probability.
    8·1 answer
  • 1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
    15·1 answer
  • Write an equation of a line, in slope-intercept form, that is perpendicular to the line y=2x+5 and passes through the point (8,-
    10·1 answer
  • Trey needs to find the zero of the equation 9x + 2y = 18. Which describes the steps he should take?
    11·1 answer
  • You want to purchase a book that costs $12.99. If there is a 5.5% sales tax, what will the total cost of the book be with tax?
    8·1 answer
  • What are the domain and range of this relationship?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!