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Paladinen [302]
3 years ago
5

In 2009 the city of Houston, Texas, had a population of 2, 257, 926. Find the place value of the 5 in 2,257,926

Mathematics
1 answer:
fredd [130]3 years ago
4 0
50,000 is the answer
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A farmer owns a 100 acre farm and plans to plant at most three crops. The seed for crops A,B, and C costs $40, $20, and $30 per
aev [14]

Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

Crop B = 60 acres

Crop C = 40 acres

Profit, P = $26,000

Step-by-step explanation:

We plant A in X acres

B in Y acres and

C in Z acres

Therefore, X + Y + Z ≤ 100

we work A for 1·X workdays

B for 2·Y workdays and

C for 1·Z workdays

Where X + 2·Y + Z ≤ 160

$40·X for crop A

$20·Y for crop B and

$30·Z for crop C is spent whereby

$40·X + $20·Y + $30·Z ≤ $3200

The farmer makes

$100·X from crop A

$300·Y from crop B and

$200·Z from crop C

P = $100·X + $300·Y + $200·Z

Therefore, we have three equations with three unknowns solving the equations simultaneously, we have

X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

Multiplying equation (1) by 40 and subtracting from (3) we  have Z = -40

and therefore, Y = 80

If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

Comparing the profit per acre to the seed cost we have Profit for seed A = $100 while cost = $40 per acre,

If we remove seed A we have

Y + Z = 100....................................................(4)

2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

3 0
3 years ago
Pls I need help on this
Sav [38]

Answer1:

-1

Step-by-step explanation:

distributed, so it must be the number before parenthesis

-(-3c+5) = -1(-3c+5)

3 0
2 years ago
Isaac wants to join a gym. He checked out the membership fees at two gyms.
igor_vitrenko [27]
Gym a:
$65 + $20 per month
$65 + 20m                m=month

gym b:
$25 + $35 per month with 20% discount
$25 + $28m

4 0
2 years ago
Read 2 more answers
Asha and Lucy are selling pencils in a school shop.
Akimi4 [234]

Step-by-step explanation:

7x+22=2(5x+2)

7x+22=10x+4 (-7x)

3x+4=22 (-4)

3X=18 (divide by 3)

X=6 pencils

check if the number is correct

asha= 7*6=42 42+22 is 64

Lucy= 5*6=30 30+2 is 3264/32 is 2

asha= 7*6=42 42+22 is 64Lucy= 5*6=30 30+2 is 3264/32 is 2there fore asha sells twice as many as Lucy

8 0
3 years ago
Simplify: <br> (8)2(2)3<br> (4)3(-2)4
Lostsunrise [7]
1). (16)(6)

2). (12)(-8)
8 0
2 years ago
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