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vfiekz [6]
2 years ago
15

Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only ha

s 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
8 0

Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

IrinaVladis [17]2 years ago
5 0

Answer:

(1).

B. 34+23F≥175

(2).

7 bags

Step-by-step explanation:

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Will likes two brands of healthy breakfast cereal. In Superfiber cereal, there are 5 grams of fiber in one cup. In Fiber Oats ce
Katen [24]

Let x  <u>represent</u> the <u>number of cups</u> of Superfiber Will ate this week and let y  represent the number cups of Fiber Oats he ate this week.

1. If in Superfiber cereal, there are 5 grams of fiber in one cup, then in x cups there are 5\cdot x=5x grams of fiber.

2. If in Fiber Oats cereal, there are 4 grams of fiber in one cup, then in y cups there are 4\cdot y=4y grams of fiber.

3. The total amount of fiber Will ate is 5x+4y grams.

4. This week Will ate at least 30 grams of fiber. Then

5x+4y\ge 30.

Answer: correct choice is A.


7 0
2 years ago
Read 2 more answers
Perry, maria, and lorna are painting rooms in a college dormitory. working alone, perry can paint a standard room in 3 hours, ma
Leviafan [203]

Answer:Perry and Lorna take the maximum time and Maria and Lorna take the minimum time when they work together.

Explanation: Since, according to the question- Perry takes time when he works alone = 3 hours

Similarly, Maria takes = 2 hours, While Lorna takes= 2 hours 30 minutes or 2.5 hours.

since, there are three people thus their are three possibility to choose any two of them.

1- when Perry and Maria work together then time taken by them is \frac{1}{1/2+1/3}=\frac{1}{5/6}= 6/5= 1 hour 12 minutes.

2- when Maria and Lorna work together then time taken by them is \frac{1}{1/2 + 1/2.5}= 10/9= 1 hours 1/9 minutes ≈ 1 hours 7 min

3- when Perry and Lorna work together then time taken= \frac{1}{1/3+1/2.5}= 15/11= 1 hour 4/11 minutes≈ 1 hours 21 minutes

From the above explanation, it has been proved that when we talk about 2 members team then Perry and Lorna take the maximum time. While Maria and Lorna take the minimum time when they work together.


3 0
2 years ago
Read 2 more answers
Felecia left her home to visit her daughter, driving 45mph. Her husband waited for the dog sitter to arrive and left home 20 min
Jet001 [13]

Felecia's husband will catch up to her 1 hour 30 minutes after leaving.

Step-by-step explanation:

Step 1; Felecia is traveling at 45 mph, her husband starts 20 minutes after her but travels at a speed of 55 mph. So first we need to calculate how much of a head start Felecia got.

Head start = \frac{1}{3} × 45 miles an hour = 15 miles.

So Felecia got a head start of 15 miles.

Step 2; Since Felecia and her husband are traveling at different rates, we can determine how much distance there is between them. Since Felecia is traveling at 45 mph and her husband is traveling at 55 mph, their gap in between is closing at a rate of 55 - 45 = 10 miles every hour. So for every hour, the gap between them is closing by 10 miles.

Total gap initially = 15 miles.

The rate at which gap is being closed = 10 miles an hour.

Time to close the gap = 15 / 10 = 1.5 hours.

8 0
2 years ago
The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receivi
pav-90 [236]

Answer:

0.8759 is the probability that no less than 4 of the entry forms will include an order.    

Step-by-step explanation:

We are given the following information:

We treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 14

We have to evaluate:

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(x = 2) - P(x = 3) \\= 1 - (\binom{14}{0}(0.4)^0(1-0.4)^{14} + \binom{14}{1}(0.4)^1(1-0.4)^{13} + \binom{14}{2}(0.4)^2(1-0.4)^{12} + \binom{14}{3}(0.4)^3(1-0.4)^{11})\\=1-(0.0007+0.0074+0.0317+0.0846)\\= 0.8756

0.8759 is the probability that no less than 4 of the entry forms will include an order.

6 0
2 years ago
Which of the following expressions represents "no more than 5"?
777dan777 [17]

Answer:

Ox>5

x is less than 5

means nothing more than 5 but anything less than 5

5 0
2 years ago
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