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3 years ago

The following sequence is an arithmetic sequence what comes next ? 7,___,17

Mathematics

1 answer:

ipn [44]3 years ago

5 0

Since this is an arithmetic sequence, you can conclude that the addition to the number is constant.

Let x = the number asked

k = constant number added to the sequence

7 + k = x

x + k = 17

Solve the system of equation:

7 + k + k = 17

7 + 2k = 17

2k = 10

k = 5

Therefore, the missing number is 12 (7 + 5).

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What percent of discount should be given in a doll costing Rs 180

wolverine [178]

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

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3 years ago

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Help with these two figured and you shall be granted points. Good deal, half off.

STALIN [3.7K]

Answer:

5. C - 180ft²

6. D - 120m³

Step-by-step explanation:

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3 years ago

Solve for the indicated variable: ⅖(z + 1) = y for z.

sweet [91]

Answer:

z = 5/2y -1

Step-by-step explanation:

We observe that z has ...

1 added
the sum multiplied by 2/5

To solve for z, we undo these operations in reverse order.

$\dfrac{2}{5}(z+1)=y\qquad\text{given}\\\\z+1=\dfrac{5}{2}y\qquad\text{multiply by 5/2}\\\\\boxed{z=\dfrac{5}{2}y-1}\qquad\text{subtract 1}$

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3 years ago

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write a mixed number in simplest form to represent the number of pounds equivalent to each number of ounces . 66 oz = blank lb

sergiy2304 [10]

The answer would probably be 4 1/8 lb

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3 years ago

Masco Industries has 285,000 total employees. Of those employees, 85,500 telecommute. What percent of the company’s total employ

frosja888 [35]

Answer:

30% of the company’s total employees telecommute

Step-by-step explanation:

Masco Industries has 285,000 total employees. Of those employees, 85,500 telecommute.

To find the percentage of company’s total employees telecommute

We divide the number of employees telecommute by total employees

Then we multiply by 100 to get percentage

Percentage = $\frac{number \ of \ telecommute \ employess}{total \ employees} * 100$

Percentage = $\frac{85500}{285000} * 100$

Percentage = 0.3 * 100 = 30%

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3 years ago