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Mademuasel [1]
2 years ago
15

Find an ordered pair (x,y) that is a solution to the equation. x-3y=9 (x,y)= ?

Mathematics
1 answer:
Gemiola [76]2 years ago
7 0

Answer:

(9,-3)

Step-by-step explanation:

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Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1
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3 years ago
2 ACTIVITY: Estimating a Percents
Semenov [28]

Answer:

75 is 150% of 50!

3 0
1 year ago
Read 2 more answers
The supreme shipping company can load trucks with both rectangular and cylindrical containers. A rectangular container has a vol
soldi70 [24.7K]

the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Let x be the number of rectangular containers and y the number of cylindrical containers.

Since a rectangular container has a volume of 100 ft ³and weighs 200 pounds and a cylindrical container has a volume of 200 ft.³ and weighs 100 pounds, and each truck has room for at most 4200 ft.³ of containers and can carry a maximum of 4800 pounds,

We have that the maximum volume of the truck V = 100x + 200y.

Also, the maximum weight of the truck is W = 200x + 100y

Since V = 4200 ft.³  and W = 4800 pounds,

100x + 200y = 4200 and 200x + 100y = 4800

x + 2y = 42 (1) and 2x + y = 48 (2)

Multiplying (1) by 2 and (2) by 1, we have

2x + 4y = 84 (3) and 2x + y = 48 (4)

Subtracting (4) from (3), we have

2x + 4y = 84

-

2x + y = 48

3y = 36

y = 36/3

y = 12

Substituting y into (1), we have

x + 2y = 42

x + 2(12) = 42

x + 24 = 42

x = 42 - 24

x = 18

Also, since the shipping company charges $60 for a rectangular container and $55 for a cylindrical container, the income, P = 60x + 55y

Since x = 18 and y = 12, the maximum income is P = 60x + 55y

= 60(18) + 55(12)  

= 1080 + 660

= $1740

So, the number of rectangular containers to maximze their income is 18 while the number of cylindrical containers to maximize income is 12.

The maximum income is $1740

Learn more about maximum income here:

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3 0
3 years ago
QUESTION 1
wlad13 [49]

Based on the information given, the simple interest rate that will be earned will be 13.6%.

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Simple Interest = PRT / 100

1250 = (5250 × 1.75 × R) / 100

Cross multiply

125000 = 9187.5R

R = 125000 / 9187.5

R = 13.6%

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3 0
2 years ago
$600 invested at 6% compounded annually for six years
Lynna [10]

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:

7 0
2 years ago
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