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ira
1 day ago
8

A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes

to be 99% confident, and from a previous study the standard deviation was found to be 4.2. How many days should he select to survey
Mathematics
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16-pound bag of Kitty Kibbles is $24.00. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is tru
lawyer [12517]
To find the unit price you divide the total cost of the bag by the amount of pounds in the bag.

Thus, the unit price of Kitty Kibbles is 24/16, or 1.5. This means that each pound of Kitty Kibbles costs $1.50.

Also, the unit price of Feline Flavor is 11.20/8, or 1.4. This means that each pound of Feline Flavor costs $1.40

Feline Flavor is cheaper per pound than Kitty Kibbles (or Kitty Kibbles is more expensive than Feline Flavor per pound).
6 0
2 months ago
Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purc
lawyer [12517]

Answer:

$110.

Step-by-step explanation:

Let x represent the cost of the item that Carmen bought from the department store.

Carmen possesses $30 in store bucks along with a 25% discount coupon for a local department store. Our goal is to determine the maximum cost for Carmen's purchase such that after applying her store bucks and discount, her total remains at or below $60 before sales tax.

Since the $30 in store bucks is deducted prior to applying the 25% discount, we need to find x such that x - 30 minus 25% of (x - 30) must be less than or equal to 60. This can be set up as an equation:

x-30-((x-30)\times\frac{25}{100})\leq 60

x-30-((x-30)\times 0.25)\leq 60

x-30-(0.25x-7.5)\leq 60

x-30-0.25x+7.5\leq 60

0.75x-22.5\leq 60

0.75x-22.5+22.5\leq 60+22.5

0.75x\leq 82.5

\frac{0.75x}{0.75}\leq \frac{82.5}{0.75}

x\leq 110

Thus, Carmen's purchases should total no more than $110 before sales tax.

3 0
3 months ago
Read 2 more answers
the number of years that brad has been on the soccer team is 2 less than 5 times the number of years that scott has in total the
PIT_PIT [12445]
Let the number of years Brad has been on the soccer team be represented by x, and let y represent the number of years Scott has been on the same team.

From the information given, we formulate the equations:
5y - 2 = x -----(1)

x + y = 10 -----(2)

Now, substituting equation (1) into equation (2):
5y - 2 + y = 10
6y - 2 = 10
6y = 12
y = 2
Next, substituting this value back to find x:
x = 5×2 - 2
x = 8

So, Brad has spent a total of 8 years in the team.
8 0
3 months ago
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