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3 years ago

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Since it is AP, the common difference is same for any term:

(4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
3x - 3 = 2x -1
3x - 2x = 3 - 1
x= 2

The first 3 terms are:

3, 6, 9

Since the last term is 18, it means this AP has 6 terms:

{3, 6, 9, 12, 15, 18}

Answer: as we need to find the value of x only, it is = 2

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CaHeK987 [17]

Answer:

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Step-by-step explanation:

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3 years ago

You sell your bicycle to your friend for 65$ your friend gives you x five dollar bills and y ten dollar bills. There are a total

jeka94

Answer:

There are $5$ five dollar bills and $4$ ten dollar bills.

Step-by-step explanation:

Given:

Selling price of bicycle $=\$65$ .

The friend gave $x$ five dollar bills and $y$ ten dollar bills.

Total number of bills $=9$ .

To find: Number of five dollar bills and ten dollar bills the friend gave.

Solution:

The friend gave $x$ five dollar bills and $y$ ten dollar bills and the friend gave $9$ bills in all.

So, $x+y=9$ .

$\Rightarrow x=9-y ...(i)$

Selling price of bicycle $=\$65$ .

So, $5x+10y=65...(ii)$

Putting the value of $x$ from equation $(i)$ in equation $(ii)$ .

$\Rightarrow 5(9-y)+10y=65$

$\Rightarrow 45-5y+10y=65$

$\Rightarrow 45+5y=65$

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$\Rightarrow 5y=20$

$\Rightarrow y=\frac{20}{5}$

$\Rightarrow y=4$

Now, putting the value of $y$ in equation $(i)$ .

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3 years ago

Find the slope of the line that is parallel to the line y=2x+5 m=

OlgaM077 [116]

M=2
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Using the slope intercept form the slope is 2 m=2

All lines that are parallel to y =2x-5 have the same slope of 2

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3 years ago

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ZanzabumX [31]

Answer:

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Step-by-step explanation:

-24 = 6x

________

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6x = -24

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3 years ago

Jim borrows $2,500 from his bank. The loan has a 5.4% annual simple interest rate. If it takes Jim two years to pay back the loa

riadik2000 [5.3K]

2500(.054)(2) = 270

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Happy to help,
~BP98

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3 years ago

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x​

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x