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goldfiish [28.3K]
3 years ago
15

One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.

Mathematics
2 answers:
Nat2105 [25]3 years ago
7 0
Let one no. be x , Then according to question other number will be 8x
Now 8x - x = 70 
        7x = 70 
         x=10 
hence one no is 10 and other 80
Alik [6]3 years ago
7 0
Let one of the the numbers be x.

Hence the other number is 8 times the other = 8*x = 8x

The difference between the numbers is 70

8x - x = 70

7x = 70

x = 70/7

x = 10

Since the  numbers are x and 8x

x = 10 

8*x = 8*10 = 80

So the numbers are 10 and 80.

I hope this helps.
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Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)
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Given:

An exponential function goes through points (0,12) and (3,6144).

To find:

The exponential function.

Solution:

The general exponential function is:

y=ab^x           ...(i)

The function goes through point (0,12). Substituting x=0,y=12, we get

12=ab^0

12=a

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6144=12b^3

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3 years ago
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kirill [66]

The <u>Pink Party Punch</u> has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

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Answer:

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Step-by-step explanation:

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Two angles are supplementary if their sum is​ 180°. the larger angle measures five degrees more than four times the measure of a
wlad13 [49]
Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

y=4x+5

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

x+y=180

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute y=4x+5 into x+y=180

x+y=180

After substituting, you get

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Now, combine the x's

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Subtract both sides by 5

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Divide both sides by 5.

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Now, we can solve for y using the equation x+y=180 since we know the value of x.

35+y=180

Subtract both sides by 35.

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The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
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