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3 years ago

What is the next two answers in the sequence ? 1.5 3.9 6.3 8.7.. ?

1 answer:

6 0

The rate of change is 2.4, so the next two answers could be found by adding 2.4 to each.

8.7+2.4=11.1
11.1+2.4=13.5

Therefore, the next two numbers would be 11.1 and 13.5.

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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

2 years ago

Read 2 more answers

A teacher wrote the numbers 10 ,-2, 4, 3, -1, -7 ,1 on a white board.the teacher asked which number should she write in order to

storchak [24]

Let x be that number:

x +10 -2 +4 + 3 - 1 - 7 +1 = 0

x +8 = 0

and x = - 8

3 0

3 years ago

Find the product. (- d + 4)(- d - 4)

sashaice [31]

The product is
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3 years ago

What is the area of this parallelogram? Show your work in detail. helppp MEEEEE

Viktor [21]

Answer:

Parallelogram area = (height × base)

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Source: http://www.1728.org/quadpar.htm

Step-by-step explanation:

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