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2 years ago

3p + 2q = 14 10p + 6q = 44 What is p and what is q

Mathematics

1 answer:

Airida [17]2 years ago

4 0

Answer:

p = 2 ; q = 4

Step-by-step explanation:

Given tbe equation :

3p + 2q = 14 - - - (1)

10p + 6q = 44 - - -(2)

What is p and what is q

This is a simultaneous equation ; using elimination method :

Multiply (1) by 6 and (2) by 2

18p + 12q = 84 - - - - (3)

20p + 12q = 88 - - - (4)

Subtract (3) and (4)

-2p = - 4

p = 4/2

p = 2

Put p = 2 in (1)

3p + 2q = 14

3(2) + 2q = 14

6 + 2q = 14

2q = 14 - 6

2q = 8

q = 8/2

q = 4

p = 2 ; q = 4

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Find the 15th term in the arithmetic sequence 7, 10, 13, 16, 19,... Question 4 options: 49 42 35 52

Ne4ueva [31]

Answer:

Step-by-step explanation:

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2 years ago

$0.\overline{5} + 0.19\overline{4}$.

Scilla [17]

Answer:

$0.\overline{5} + 0.19\overline{4}=0.75$

Step-by-step explanation:

Given expression:

$0.\overline{5} + 0.19\overline{4}$

To evaluate the expression.

Solution.

The values are

$0.\overline{5}=0.555555......$

Let $X=0.555555.....$ -----------1

Multiplying 10 both sides.

$10X=5.555555....$ ----------2

Subtracting 1 from 2.

$10X=5.555555....$

- $X=0.555555.....$

-------------------------------------------

$9X=5.0$

Dividing both sides by 9.

$\frac{9X}{9}=\frac{5}{9}$

$X=\frac{5}{9}$

$0.19\overline{4}=0.194444....$

Let $Y=0.1944444..$

Multiplying both sides by 100

$100Y=19.44444..$ ------------3

Multiplying 1000 both sides.

$1000Y=194.4444....$ ----------4

Subtracting 3 from 4.

$1000Y=194.4444....$

- $100Y=19.44444.....$

-------------------------------------------

$900Y=175.0$

Dividing both sides by 900.

$\frac{900Y}{900}=\frac{175}{900}$

$Y=\frac{175}{900}$

So, we can evaluate the given expression as:

⇒ $0.\overline{5} + 0.19\overline{4}$

⇒ $X+Y$

⇒ $\frac{5}{9}+\frac{175}{900}$

Taking LCD = 900

⇒ $\frac{5\times 100}{9\times 100}+\frac{175}{900}$

⇒ $\frac{500}{900}+\frac{175}{900}$

Adding numerators.

⇒ $\frac{500+175}{900}$

⇒ $\frac{675}{900}$

⇒ $0.75$ (Answer)

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Answer:

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Step-by-step explanation:

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