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GenaCL600 [577]
3 years ago
14

Solve the following system of equations: 5x + y = 9 3x + 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)

Mathematics
2 answers:
Mila [183]3 years ago
7 0
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
makvit [3.9K]3 years ago
7 0
Plug each set in until both equations are correct. The answer is (2,-1)
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Tom [10]

Answer:

.66

Step-by-step explanation:

divide 3 into 2 = .66

5 0
3 years ago
Read 2 more answers
I need help with this problem. ​
MariettaO [177]

Answer:

the numbers next to a variable is a coefficient, for instance in 2x 2 would be the coefficient.

the constants are the numbers without variables next to them, just numbers

like terms are the term that are similar like 2x and 8x or even 5 and 3

lm not exactly sure what they mean when asking for constant terms.

4 0
2 years ago
What is 8 more than twice the sum of a number and 3 is the same as -6?
a_sh-v [17]
This can be solver by creating a small equation with x being the number and solving for x. The equation would be 8 + 2( x + 3 ) = -6
Solve for x:
8 + 2( x + 3 ) = -6
Distribute the 2
8+ (2x+6)=-6
Subtract 8
2x+6= -14
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Divide by 2
x=4

So the number you are looking for is 4

I hope this helps!
8 0
3 years ago
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need a
vesna_86 [32]

Answer:

(Choice C) 24+12R ≤100

$56

Step-by-step explanation:

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.

1)

Which inequality describes this scenario?

Choose 1 answer:

(Choice A) 12+ 24R ≤ 100

(Choice B) 12+24R ≥ 100

(Choice C) 24+12R ≤100

(Choice D) 24+12 ≥100

2)

What is the least amount of additional money Sofia can spend to get the sushi they need?

ans) ___ dollars

please solve fast !!!! thank you from advance :)

The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders

Sofia has ordered 24 pieces

Sofia needs 100 pieces

sushi comes in rolls

12 pieces per roll

= 12R

24 + 12R ≤ 100

(Choice C) 24+12R ≤100

B.

24 + 12R ≤ 100

12R ≤ 100 - 24

12R ≤ 76

R ≤ 76 / 12

R ≤ 6.33

Approximately 7 rolls

Sofia will order 7 more rolls

Each roll cost $8

R ≤ 7

7 × 8

= $56

5 0
3 years ago
Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the ar
irakobra [83]

Answer:

8πcm²/sec

Step-by-step explanation:

The radius of the circle increases at a rate of dr/dt = 0.25cm/sec

The radius of the circle r = 16cm

The area of the circle increases at a rate of dA/dt = ?

Area of a circle = πr²

We take the derivative with respect to t

dA/dt = 2πrdr/dt

dA/dt = 2 π (16)(0.25)

dA/dt = 8πcm²/sec

Thank you!!!

5 0
3 years ago
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