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Nostrana [21]
3 years ago
5

What value of p makes the equation true? -3p + 1/8 = -1/4

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

<em>Answer:</em>

<em>p = 1/8</em>

<em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>⁸⁾-3p + 1/8 = ²⁾- 1/4</em>

<em>- 24p + 1 = - 2</em>

<em>- 24p = - 2 - 1</em>

<em>- 24p = - 3 | (-)</em>

<em>24p = 3</em>

<em>p = 3⁽³/24</em>

<em>p = 1/8</em>

<em>Good luck !</em>

You might be interested in
Which function forms a geometric sequence when x = 1, 2, 3, ...?
jeka94
The geometric sequence is found in the relationship between consecutive terms that is constant.
 In this problem, as I understand it, none of the functions forms a geometric sequence.
 The functions that form a geometric sequence have the form
 f (x) = h (a) ^ n where "a" is the constant relation between the successive terms.
 If you wrote the function "f (x) = - 2 (3/4) x", you wanted to write instead:
 f (x) = - 2 (3/4) ^ x
 So that would be the function that forms a geometric sequence, where the relation between the consecutive terms is 3/4.
 You can test it by dividing f (x) / f (x-1)
 Then you will see that the result of that division will be 3/4.
4 0
3 years ago
jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
2) Marion deposited $12,000 into her saving account for 10 years with simple annual interest rate of 5%. Cameron deposited $12,0
morpeh [17]

Answer:

Marion’s account will have $237 more at the end of 10 years

Step-by-step explanation:

Firstly, we calculate the amount that will be in Marion’s account after 10 years.

To calculate this, we use the formula for simple interest

I = PRT/100

where I is the interest accrued for the period of years

P is the amount deposited = $12,000

R is the rate = 5%

T is the time which is 10 years

Plugging these values into the equation

I = (12,000 * 5 * 10)/100 = $6,000

The amount after 10 years is thus the sum of the amount deposited and the interest accured = $12,000 + $6,000 = $18,000

Now for Cameron, we use the compound interest formula

A = P(1+r/n)^nt

Where A is the amount in the account after the number of years

P is the amount deposited = $12,000

r is the interest rate = 4% = 4/100 = 0.04

n is the number of times per year the interest is compounded. Since it is annually, n = 1

t is the time which is 10 years

We plug these values and we have;

A = 12,000(1 + 0.04/1)^(1 * 10)

A = 12,000 (1.04)^10

A = $17,763 ( to the nearest whole dollars)

Since 18,000 is greater than 17,763, the amount in Marion’s account will be greater at an amount of (18,000 - 17,763) = $237

6 0
3 years ago
1. Oblicz:
dem82 [27]

Step-by-step explanation:

1. Oblicz:

a) Liczbę o 15% mniejszą od 60

b) Liczbę, której 15% stanowi 60

c) Jakim procentem 60 jest 15

d) O ile %większa jest 60 od 15

2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?

3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?

4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?

5 0
2 years ago
HELP ME PLEASE-
polet [3.4K]

Answer:

Step-by-step explanation:

if a is less than zero then b will from 4 down to negative infinity

so  b < 4

Does this help at all?   ask me some questions if you really want to learn about math ;)

4 0
2 years ago
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