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NemiM [27]
3 years ago
13

Use the elimination method to solve the system of equations

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

D

Step-by-step explanation:

2x + 3y = 18

3x - 3y = 12

the 3y and -3y cancel and you add the other like terms

5x = 30

x = 6

plug x back into any of the equations

2(6) + 3y = 18

12 + 3y = 18

3y = 6

y = 2

answer is (6,2)

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You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w
Trava [24]

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

6 0
3 years ago
Read 2 more answers
21 is 30% of what number?
WARRIOR [948]

<u>Answer</u>:

21 is 30% of 70

<u>Explanation</u>:

We know that 100% is the original number.

Equation:

(21/30)*100

21/3 * 10

7 * 10

70 ....this is the answer, original number.

5 0
3 years ago
Read 2 more answers
Can someone help me with B? I’m really bad at this kind of stuff. I need help ASAP
Vinil7 [7]

Answer:

D = .44P

Step-by-step explanation:

We need to find the slope of the line

m = (y2-y1)/ (x2-x1)

Using two points

m = (22-4.4) /(50-10)

   = 17.6/40

   = .44 lb/ in^2 ft

We can use the point slope form of the equation

y-y1 = m(x-x1)  where y=D and x=P

D-4.4 = .44 (P-10)

Distribute

D-4.4 = .44P - 4.4

Add 4.4 to each side

D -4.4+4.4 = .44P -4.4+4.4

D = .44P

8 0
3 years ago
Read 2 more answers
If 8 = 54 and v = 17, Find m.
zhenek [66]

Answer:

What is the m part?

Step-by-step explanation:

8 0
3 years ago
12a - 6 + 7a - 2a ; a = 4<br> Need help please
Novosadov [1.4K]

Answer:

62

Step-by-step explanation:

Plug in the value of a in the equation:

12(4) - 6 + 7(4) - 2(4)

Solve 12(4) - 6:

12(4) - 6 = 48 - 6 = 42

Solve 7(4) - 2(4):

7(4) - 2(4) = 28 - 8 = 20

Combine both answers (42+20):

42+20 = 62

Complete answer:

12(4) - 6 + 7(4) - 2(4) = 62

3 0
3 years ago
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