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Slav-nsk [51]
3 years ago
7

franco is buying grapes by the pound for every 5 pounds he pays 12 dollars. how much does 1 pound of grapes cost?

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0
12/5 = 2.40

$2.40 per lb

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Factor out: <br> 5y^2-2y-7
KatRina [158]
5y^2-2y-7=0
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5y^2+5y-7y-7=0
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(5y-7) (y+1)
5 0
3 years ago
In a survey of U.S. adults with a sample size of 2062​,330said Franklin Roosevelt was the best president since World War II. Two
tigry1 [53]

Answer:

a) 0.0255

b) 0.7050

c) 0.2945

Step-by-step explanation:

Probability that one of those sampled saying that Roosevelt was the best president since World War II = 330/2062 = 0.16

Probability that one of those sampled don't mention Roosevelt = (2062 - 330)/2062 = 1732/2062 = 0.84

a) The probability that both adults picked say Franklin Roosevelt was the best president since World War II = (330/2062) × (329/2061) = 0.0255

b) The probability that neither of the two adults say Franklin Roosevelt was the best president since World War II = (1732/2062) × (1731/2061) = 0.7050

c) The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = Probability that one of the two adults mention Roosevelt + Probability that the two adults mention Roosevelt

Probability that one of the adults mention Roosevelt = [(330/2062) × (1732/2061)] + [(1732/2062) × (330/2061)] = 0.269

Probability that two of the adults mention Roosevelt has been done in (a) and it is equal to 0.0255

probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = 0.269 + 0.0255 = 0.2945

3 0
3 years ago
The following function describes the number of employees working at a company, In thousands, where trepresents the number of yea
NISA [10]

Consider the missing part of the question is "Select the correct statement.

A. The number of employees is increasing by 50% every year.

B. The number of employees is decreasing by 10% every year.

C. The number of employees is decreasing by 90% every year.

D. The number of employees is increasing by 90% every year."

Given:

The function is:

f(t)=1.5(0.90)^t

Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.

To find:

The correct statement from the given options.

Solution:

The general exponential decay model is:

f(t)=a(1-r)^t         ...(i)

Where, a is the initial value, r is the rate of decay and t is the number of years.

We have,

f(t)=1.5(0.90)^t

It can be written as

f(t)=1.5(1-0.10)^t        ...(ii)

From (i) and (ii), we get

a=1.5,r=0.10

The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.

Therefore, the correct option is B.

5 0
3 years ago
Daryl has a total of 160 National Football League (NFL) trading cards from both the American Football Conference (AFC) and the N
Svet_ta [14]

Answer:

B

Step-by-step explanation:

Since A represents the number of AFC cars and N represents the number of NFC cards, and that Daryl has 160 total cards, then A+N = 160, the total number of cards. Furthermore, the number of AFC cards Daryl has is 8 more than 3 times the number of NFC cards, so A would be equal to 8 + 3N, or A = 3N + 8. The only system of equations with both of these correct equations is B.

4 0
3 years ago
The phrase "4 more than twice a number" becomes '2n + 4'.
andrew11 [14]
I mean, this isn't a question but its true?
3 0
3 years ago
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