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Aloiza [94]
3 years ago
5

A company fills a warehouse will two types of goods A and B . they both come in tall boxes which cannot be stocked. one box of A

text up 1/2m of floor space and cost 5000. one box of B 6 of 1/2 m floor space and cost 30000. the warehouse has 100 m of floor space available. the company can spend up to 1500000 and needs at least 50 boxes of A add 20 boxes of B. if the company buys "a" box of A and "b" of B. write down for inequalities in terms of A and B​
Mathematics
1 answer:
inessss [21]3 years ago
5 0

Answer:

(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20

(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20

Step-by-step explanation:

There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.

The first

A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:

(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20

The second:

A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:

(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20

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A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing
yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

  • Speed = 12 Km/h
  • Time = t
  • Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

  • Time (t) = 3.5 hours
  • Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

#SPJ1

6 0
2 years ago
Find Mean, Median, mode and range. Round to the nearest tenth.
stiv31 [10]

Answer:

  • Mean = 26.24
  • Median = 27
  • Mode = 32
  • Range = 38

Step-by-step explanation:

Plotting the original data from leaf plot

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

<em><u>Finding Mean:</u></em>

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                                            \mu=\frac{446}{17}

                                                                = 26.24

Therefore, the range = 26.24.

<u>Finding Median:</u>

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47  

So, the median is 27 .

<em><u>Finding Mode: </u></em>

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

We see that the mode is 32.

<em><u>Finding Range:</u></em>

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

The lowest value is 9.

The highest value is 47.

The range = 47 - 9 = 38

4 0
3 years ago
A bag contains four balls. one is blue, one is white and two are red. someone draws two balls at random from the bag. he looks a
Andrew [12]
There is a 1/3 chance or 33% chance that the other ball is also red.
8 0
3 years ago
Write a proportion for 56% of a number is 244
Misha Larkins [42]
\frac{56}{100} =  \frac{244}{x} So, You cross multiply and get 56x=244(100). Simplify and you get 56x=24400. Divide each side by 56 and you get 435.71. 56% of about 435.71 is 244.
6 0
3 years ago
Which radical expression is an irrational number? A. √ 121 B. √ 65 C. √ 36 D. √ 64
alina1380 [7]

We will verify each options

option-A:

\sqrt{121}

we can factor it

\sqrt{121}=\sqrt{11*11}

\sqrt{121}=\sqrt{11^2}

\sqrt{121}=11

so, this is not irrational.........Answer

option-B:

\sqrt{65}

Since, it can not be factored

so, this is irrational.........................Answer

option-C:

\sqrt{36}

we can factor it

\sqrt{36}=\sqrt{6*6}

\sqrt{36}=\sqrt{6^2}

\sqrt{36}=6

so, this is not irrational.........Answer

option-D:

\sqrt{64}

we can factor it

\sqrt{64}=\sqrt{8*8}

\sqrt{64}=\sqrt{8^2}

\sqrt{64}=8

so, this is not irrational.........Answer


6 0
3 years ago
Read 2 more answers
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