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Marrrta [24]
2 years ago
9

What is the solution to the system of equations below? x 3 y = 15 and 4 x 2 y = 30 (6, 3) (3, 6) (7, –6) (–6, 7).

Mathematics
1 answer:
swat322 years ago
7 0

Answer: (6 , 3)

Step-by-step explanation: Given

x + 3y =15 ------- equation 1

4x + 2y = 30 --------- equation 2

x = 15 - 3y

Put value of x in equation 2

4 (15 - 3y) + 2y = 30

60 - 12y + 2y = 30

-10y = -30

divide by '-10' on both sides

y = 3

now, put value of y in equation 1

x + 3(3) = 15

x + 9 = 15

x = 15 - 9

x =  6

So , (x , y) = (6 , 3)

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A culture started with 5000 bacteria. after 7 hours, it grew to 6500 bacteria. predict how many bacteria will be present after 1
spin [16.1K]

6500=7x+5000

6500-5000=7x+5000-5000

1500=7x

1500/7≈214

x≈214

y=19·214+5000

y=9066

answer=9066 bacteria

4 0
3 years ago
What is the simplified form of the following expression?
geniusboy [140]

Answer:

242

Step-by-step explanation:

Simplify the following:

11 ((9^2 - 5^2)/2^2 + 8)

Hint: | Evaluate 2^2.

2^2 = 4:

11 ((9^2 - 5^2)/4 + 8)

Hint: | Evaluate 5^2.

5^2 = 25:

11 ((9^2 - 25)/4 + 8)

Hint: | Evaluate 9^2.

9^2 = 81:

11 ((81 - 25)/4 + 8)

Hint: | Subtract 25 from 81.

| 7 | 11

| 8 | 1

- | 2 | 5

| 5 | 6:

11 (56/4 + 8)

Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

11 (14 + 8)

Hint: | Evaluate 14 + 8 using long addition.

| 1 |  

| 1 | 4

+ | | 8

| 2 | 2:

11×22

Hint: | Multiply 11 and 22 together.

| 2 | 2

× | 1 | 1

| 2 | 2

2 | 2 | 0

2 | 4 | 2:

Answer: 242

3 0
3 years ago
What expression is equivalent to 4/2 times 4/3
In-s [12.5K]

Answer:

8/3

Step-by-step explanation:

6 0
3 years ago
Find C to form completing Square<br> <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B5x%20%2B%20C" id="TexFormula1" title="x^
postnew [5]

Answer:

\frac{25}{4}  (or 6.25)

Step-by-step explanation:

Let's do a simple square problem to see the relationship between the elements of the resulting equation...

(x+3)(x+3) = x(x+3) + 3(x+3) = x^{2} +3x + 3x + 9 = x^{2} + 6x + 9

As you see, the number of 'x' (6) is the double of the numeric part of the binomial expression (3), while the numeric-only part (9) is the square of the numeric part of the binomial expression (3).

So, if we look at the formula from the problem, we see the the number of 'x' is 5. To obtain the C value, we need to divide the 5 by 2... then get the square value of the result.

\frac{5}{2} * \frac{5}{2} = \frac{25}{4}  (or 6.25)

3 0
3 years ago
Daphane gave away 3 more than half of her apples. she gave away 17 apples in all. how many apples did daphne have originally?
inn [45]
Well 17-3 gets you 14 which would be half of her apples. 14x2=28 therefore, Daphne originally had 28 apples. She gave away 17 which means she kept 11 for herself
6 0
3 years ago
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