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3 years ago

Show your work ‼️ offering 50 points and branliest.

Mathematics

2 answers:

adell [148]3 years ago

7 0

Hope this helps. I just used similar triangles to solve this. feel free to clarify if unsure!

Rom4ik [11]3 years ago

4 0

Answer:

PK = 75

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{PK}{WK}$ = $\frac{AK}{NK}$ , substitute values

$\frac{PK}{54}$ = $\frac{62.5}{45}$ ( cross- multiply )

45 PK = 3375 ( divide both sides by 45 )

PK = 75

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A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per uni

aleksandrvk [35]

Answer:

a. x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Min 6x1 + 5.5x2

c. x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

Step-by-step explanation:

a. We can consider the variables x1 and x2 as:

x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Price per unit of Iowa corn = $6

Price per unit of Illinois corn = $5.5

Objective function that would minimize the total cost can be written as:

Min 6x1 + 5.5x2

c. The manufacturer needs at least 12000 units of corn which means that the combined number of units from Iowa and Illinois must be greater than or equal to 12000. So, we can write:

x1 + x2 ≥ 12000

The Iowa cooperative can supply up to 8000 units which means that the value of x1 must not be greater than 8000. So, we can write:

x1 ≤ 8000

Similarly, the Illinois cooperative can supply at least 6000 units which means that the value of x2 must not be less than 6000. So, we can write:

x2 ≥ 6000.

The constraints for these conditions are:

x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

6 0

3 years ago

Data is a pieces of information true or false

Maru [420]

True because it is used to collect information on data tables and other things.

6 0

3 years ago

write an algebraic equation and use it to solve the problem. A jacket in a clothing store is on a rack marked 40% off. if the di

Tema [17]

49.99 = 0.6x, where x = original coat of jacket.
To solve for x divide both sides by 0.6, and you get x = $83.32 (rounded)

7 0

3 years ago

2. a) How many milliseconds (ms) are in 1 second? 1. b) How many microseconds (μs) are in 1 second? 2. c) How many nanoseconds (

olchik [2.2K]

Answer and explanation:

a) How many milliseconds (ms) are in 1 second?

1 second = 1000 milliseconds

1 second = $10^3$ milliseconds

b) How many microseconds (μs) are in 1 second?

1 second = 1000000 microseconds

1 second = $10^6$ microseconds

c) How many nanoseconds (ns) are in 1 millisecond?

1 millisecond = 1000000 nanoseconds

1 millisecond = $10^6$ nanoseconds

d) How many microseconds are in 1 millisecond?

1 millisecond = 1000 microseconds

1 millisecond = $10^3$ microseconds

e) How many nanoseconds are in 1 microsecond?

1 microsecond = 1000 nanoseconds

1 microsecond = $10^3$ nanoseconds

f) How many kilobytes (KB) are in 1 gigabyte (GB)?

1 gigabyte = 1000000 kilobytes

1 gigabyte = $10^6$ kilobytes

g) How many kilobytes are in 1 megabyte (MB)?

1 megabyte = 1000 kilobytes

1 megabyte = $10^3$ kilobytes

h) How many megabytes are in 1 gigabyte?

1 gigabyte = 1000 megabytes

1 gigabyte = $10^3$ megabytes

i) How many bytes are in 20 megabytes?

1 megabytes = 1000000 bytes

20 megabytes = 20000000 bytes

20 megabytes = $2\times 10^7$ bytes

j) How many kilobytes are in 2 gigabytes?

1 megabyte = 1000 kilobytes

2 megabyte = 2000 kilobytes

2 megabyte = $2\times 10^3$ kilobytes

4 0

4 years ago

Two cubes are tossed. Find P(only one shows a 2).

djverab [1.8K]

The probability that only one shows a 2.

There are 36 different outputs (6x6) = 36

There are 6 combinations where the first cube shows a 2, these are 2,1;2,2;2,3;2,4;2,5; and 2.6

There are 6 combinations where the second cube shows a 2: 1,2;2,2;3,2;4,2;5,2; and 6,2.

Of those one combination on each set shows two 2.

Then the number of combinations with only one 2 are 6 - 1 + 6 -1 = 10

Now the probabilit is 10 out of 36 = 10 / 36 = 5 / 18

4 0

3 years ago