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3 years ago

#4

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

............15n+12b

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-5⁄2 a + 5 = 25 What Does A =

ruslelena [56]

Answer:

a = -8

Step-by-step explanation:

-5⁄2 a + 5 = 25

Subtract 5 from each side

-5⁄2 a + 5-5 = 25-5

-5/2 a = 20

Multiply each side by -2/5 to isolate a

-2/5 * -5/2 a = -2/5 *20

a = -8

6 0

4 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)

= 750 m

Put the value of y in equation (3).

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

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0

3 years ago

How many sloths were spotted altogether?

erastovalidia [21]

Their frequencies are 1, 3, 2, 10, 2, and 1.

Add them together and you have 19 sloth sightings.

8 0

3 years ago

Read 2 more answers

Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?

Archy [21]

Mr. Gardener's annual interest rate is 8%.

40,000/500,000 = 0.08

8 0

3 years ago

2) If one variable increases in value and the other variable decreases in value, the variables have a(n) ________ relationship.

max2010maxim [7]

Answer:

inverse

Step-by-step explanation:

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3 years ago