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3 years ago

0.018 ÷ 0.02 pls help

Mathematics

1 answer:

vesna_86 [32]3 years ago

4 0

The answer is 0.9 because if you divide 0.018 and 0.02 you would get 0.9

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For the series 16, 24, 36, 54,... find S7.

diamong [38]

24 - 16 = 8
36 - 24 = 12
54 - 36 = 18

So, obviously, this isn't an arithmetic sequence.

24/16 = 3/2
36/24 = 3/2
54/36 = 3/2

Aha! This is a geometric sequence.

Now, let's find the 7th term in this sequence!

$a_n = a_1 \cdot r^{n-1}$

We're trying to solve for a_7.
We know that a_1 is 16
We know that n = 7
We know that r = 3/2 or 1.5

Plug it in!

$a_n = a_1 \cdot r^{n-1}\\\\a_7 =16 \cdot 1.5^{7-1}\\\\a_7 = 16 \cdot 1.5^6\\\\a_7 = 16 \cdot 11.390625\\\\\boxed{\bf{ a_7 = 182.25}}$

The seventh term is 182.25

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3 years ago

A piece of rope is 55 feet 6 inches long and a piece 6 feet 9 inches is cut from it.

DIA [1.3K]

ANSWER= the remaining piece of rope is 48 feet 9 inch long.

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3 years ago

Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change)

Pani-rosa [81]

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

At the bulk food store, Jerry bought 200 g of mixed nuts that cost $2.50. What is the cost of 1 g of nuts? show ur work

Alex Ar [27]

Step-by-step explanation:

200g=$2.50

1g=?

2.50*1=?*200

2.50/200=?

$0.0125

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3 years ago

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2.5 over 5 and 59 hundredths. Triangles XYZ

adell [148]

Dilation involves changing the size of a shape

<h3>How to determine the relationship between the trigonometry ratios</h3>

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following are corresponding points

Points X and A
Points Y and C
Points Z and B

The above means that:

The relationships between the trigonometry ratios of both triangles are:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>How to determine the measures of segments AC and AB</h3>

In (a), segments XY and XZ corresponds to the segments AC and AB

So, the product of the lengths of XY and XZ and the scale factor will result in the lengths of AC and AB,

i.e.

AC = 2 * XY and AB = 2 * XZ

0.018 ÷ 0.02 pls help​

0.018 ÷ 0.02 pls help