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Ksju [112]
2 years ago
15

If the common difference of an ap is 3/2 and its 20 th term 35×1/2 find first term and 15 th term

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
4 0

Answer:

Step-by-step explanation:

d = 3/2

a₂₀ = a₁+19d

35/2 = a₁ + 19×3/2

a₁ = 35/2 - 19×3/2 = -11

a₁₅ = a₁+14d = -11 + 14×3/2 = 10

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Provide a solution for the following equation: 3x + 2y=4
shtirl [24]

Answer:

One solution is to find x and y by doing the following:

Step-by-step explanation:

Let's solve for x.

3x+2y=4

Step 1: Add -2y to both sides.

3x+2y+−2y=4+−2y

3x=−2y+4

Step 2: Divide both sides by 3.

x=-2/3y+4/3

Lets solve for y.

3x+2y=4

Step 1: Add -3x to both sides.

3x+2y+−3x=4+−3x

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Step 2: Divide both sides by 2.

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7 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

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Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

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If I drink decaffeinated coffee, then I do not stay awake.
marishachu [46]

Answer:

the statements are not equivalent

6 0
2 years ago
One number is 9 more than 3 times another. If their difference is 29, what is the larger number?
vfiekz [6]

Answer:

39

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x-3y=9

x-y=29

subtract

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y=10

x-10=29

x=39

6 0
3 years ago
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