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MrRa [10]
2 years ago
13

(1/4)(5/6)^x=75/432. Solve the Equation

Mathematics
1 answer:
Ksivusya [100]2 years ago
4 0
This one I believe is easier than it looks. First you want to start by isolating the part with the exponent. To do this start by dividing both sides by (1/4) and you get….

(5/6)^x= (25/36)

Immediately, it’s noticeable that 25 is 5^2 and 36 is 6^2

So you can rewrite this equation as

(5/6)^x=(5/6)^2

Because the bases are the same now, all you need to do is solve for the exponents. In which you get x=2.
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Answer:

  (0, -8), (1, -11), (-1, -5)

Step-by-step explanation:

It is convenient to solve for y and choose values of x.

  y = -3x -8 . . . . . subtract 3x from both sides of the equation

Now, any integer value of x you choose will result in an integer value of y. Often, it is convenient to choose values near zero.

  x = -1, y = -3(-1) -8 = 3 -8 = -5 . . . . solution: (-1, -5)

  x = 0, y = -3(0) -8 = -8 . . . . solution: (0, -8)

  x = 1, y = -3(1) -8 = -11 . . . . solution: (1, -11)

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3 years ago
The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls
maks197457 [2]

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

\frac{4  \\boys}{12 \\ \\girls}

2. Now lets plug the value in

\frac{6 \\boys}{x girls}

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

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7 0
3 years ago
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The perimeter of a rectangular field is 340 yards. The length is 90 yd longer than the width. Find the dimensions.
Alexus [3.1K]

Answer:

length= 100 width=70

Step-by-step explanation:

The perimeter of a rectangular field is 340 yds.  

The length is 30 yds longer than the width.  

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l + w = 170

w + 30 + w = 170

2w = 140

w = 70

Hence the dimensions:

Length: 100 yds.

Width: 70 yds.

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3 years ago
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Over [174]

enable to answer your question we need  question to answer could you attach one or edit your question


4 0
4 years ago
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