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2 years ago

X+y=3 2x-y=0 substituition method

Mathematics

1 answer:

Veronika [31]2 years ago

5 0

Answer:

(1, 2 )

Step-by-step explanation:

x + y = 3 (subtract x from both sides )

y = 3 - x → (1)

2x - y = 0 → (2)

Substitute y = 3 - x into (2)

2x - (3 - x) = 0

2x - 3 + x = 0

3x - 3 = 0 ( add 3 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1)

y = 3 - 1 = 2

solution is (1, 2 )

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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

2 years ago

Need help on this one too

amid [387]

Answer:

If this is for a triangle then the answer is 45°

Step-by-step explanation:

Triangles are always 180° so if you have a right angle know that, that means the angle is 90°. So angle CAB is 90° and angle DAB is 45°. You take 180° and subtract 90° which leaves you with 90°. Then you take that 90° and subtract 45° and that leaves you with 45°.

8 0

2 years ago

olchik [2.2K]

You can do it just believe in your self

7 0

3 years ago

Find area and perimeter show your work

yan [13]

Answer:

A= 16

P=16

Step-by-step explanation:

A=h^bxb/ 2

P= side+base+side

8 0

1 year ago

NEED HELP ASAP. WILL GIVE BRAINLYIST.

Eva8 [605]

Actual length = 3.5 × 120
actual length = 420 cm
actual length = 4.2 m

actual width = 2.5 × 120
actual width = 300 cm
actual width = 3 m

actual area = l × w
actual area = 4.2 × 3
actual area = 12.6 m²

the answer is b

5 0

2 years ago