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kati45 [8]
2 years ago
8

2. Solve the system of equations using the substitution method.

Mathematics
1 answer:
Dimas [21]2 years ago
7 0

Answer:

x = 1

Step-by-step explanation:

2x + 3y = 20

2x + 3(10-4x) = 20

2x + 30 - 12x = 20

combine like terms

-10x + 30 =  20

        -30      -30

-10x = -10

divide both sides by -10

x = 1

Hope this Helps!!!

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X² y² + y2 – 4x + 20y +55 =0<br> Center:<br> Radius:
netineya [11]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
What is the perimeter of a rectangle with an area of 2x^2+11x+5 in^2?​
kirza4 [7]

Answer:

6x + 14

Step-by-step explanation:

Area = side x side

Factor the quadratic:

2x^2 +10x / +1x +5

2x(x+5) 1 (x+5)

(2x + 1) (x+5)

^These are your two sides

Perimeter =2L + 2W

(2(2x+1)) + (2(x+5))

4x+4+2x+10 = final answer 6x + 14

6 0
2 years ago
I need help I dont understand
svp [43]

Answer:

X=5

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Step-by-step explanation:

6 0
2 years ago
What is 17/20 - 4/15
Zinaida [17]

Hello there, today you gave us the problem \frac{17}{20}-\frac{4}{15},

Our first step is to give them common denominators, which is \frac{51}{60}-\frac{16}{60}, solve it and we get \frac{35}{60} as our answer, which can be simplified down to \frac{7}{12}

4 0
2 years ago
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current
exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0
2 years ago
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