O.1 recurring as a fraction in its simplest form

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir

xxMikexx [17]

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

please mark as brainliest

7 0

3 years ago

Mrs.Davis bought 6 pounds of grapes for 18 dallors at this rate how much would 72 ounces of grapes have cost

harkovskaia [24]

Answer:

Cost of 72 ounces of grapes is $13.5

Step-by-step explanation:

In order to solve his problem, we first need to get all the values in the same units.

1 pound = 16 ounces

∴ 6 pounds= 16×6 = 96 ounces

Now by unitary method, we solve the question as follows:

price of 96 ounces of grapes = $ 18

price of 1 ounce of grapes = $ (18÷96)

∴ price of 72 ounces of grapes = $ [(18÷96)×72]

= (0.1875×72) = $ 13.5

4 0

3 years ago

China issued the largest stamp ever, 210mm Long and 65mm wide. Find the ratio of length to width

lora16 [44]

210 : 65
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42 : 13 is the ratio of 210mm long and 65mm wide
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divide both numbers by 5

7 0

3 years ago

The are of a rectangle is 54 cm. The length is 2 cm more than a x and the width is 5 cm less than twice x. Solve for x. Round yo

romanna [79]

Given that:

(x+2)(2x-5)=54

We have:
$2x^2-x-64=0$

Using the quadratic formula, this is approximately 5.66, so rounded to the nearest whole number, our answer is 6.

4 0

3 years ago

Find the value of x. A 28 20 B 9x – 8 С

natulia [17]

Answer:

The question is incorrect. please provide a diagram.

4 0

3 years ago