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daser333 [38]
3 years ago
5

Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

7.95 divided by 5 times 16 so 7.95 divided by 80= so about 10 cents

Step-by-step explanation:

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Find the 8th term in the following geometric sequence. Round your answer to the nearest hundredth. 27/375, 9/75,3/15,1/3,....
Nesterboy [21]

Answer:

  2.57

Step-by-step explanation:

The common ratio of this sequence is ...

  (1/3)/(3/15) = (1/3)/(1/5) = 5/3

Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...

  (1/3)·(5/3)^4 = 625/243 ≈ 2.57

_____

The generic n-th term (an) is ...

  an = a1·r^(n-1)

where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:

  a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57

7 0
3 years ago
One lap around the school track is 5/8 of a mile Carin ran 3 1/2 laps how far did she run
bearhunter [10]

Given length of a lap = 5/8 mile.

Number of laps Carin ran = 3 1/2 laps.

3 1/2 can be read as 3 and a half. In improper fractions, it can be written as

(3*2+1)/2 = 7/2 laps.

In order to find the total distance covered in 3 1/2 or 7/2 laps, we need to multiply length of a lap by total number of laps ran.

Therefore, total distance covered = 7/2 × 5/8.

=\frac{7}{2}\times\frac{5}{8}

Multiplying across, we get

= \frac{7\times5}{2\times8}

=\frac{35}{16}

Let us convert 35/16 into mixed fractions.

On dividing 35 by 16, we get 2 quotient and 3 remainder.

So, the mixed fraction would be 2 3/16.

Therefore, she ran 2 3/16 miles in 3 1/2 laps.


4 0
3 years ago
How much water should be added to 50 ml of 45 percent acid solution to dilute it to a 35 percent acid solution?
SOVA2 [1]

Answer:

dont drink water .

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
X^3 = 125/27 simplify. a. 25/9 b. +- 25/9 c. 5/3 d+- 5/3​
s2008m [1.1K]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,
Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

0.08*0.6 + 0.4x = 0.2

0.4x = 0.2 - 0.08*0.6

x = \frac{0.2 - 0.08*0.6}{0.4}

x = 0.38

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0
3 years ago
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