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ASHA 777 [7]
3 years ago
5

Separate the number 219 into three parts. The second number is two less than 5 times the first number, and the third number is 4

more than the first number.
Mathematics
1 answer:
Sav [38]3 years ago
4 0
Let us assume the first number = x
Then the second number = 5x -2
The third number = x + 4
The total number that needs to be divided into three parts is 219
Then we can write the equation as
x + 5x - 2 + x + 4 = 219
7x + 2 = 219
7x = 219 - 2
7x = 217
x = 217/7
  = 31
Then
First number = 31
Second number = 5x - 2
                           = (5 * 31) - 2
                           = 155 -2
                          = 153
Third number = x + 4
                       = 31 + 4
                       = 35
So the three numbers are 31, 153 and 35.
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The graph provides distance as a linear function of time.
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Calculate the slope.
m = (120 - 0)/(6 - 0) = 20

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d = 20t
where
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Therefore distance is the dependent variable.
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Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
    d = 20t
    where
    t = time, hours
    d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.

6 0
3 years ago
Chin canned a number of quart jars and a number of pint jars of tamoatoes from his garden a pint is 16 ounces and a quart us 32
natulia [17]
The total volume of the canned tomato sauce is equal to the sum of those canned in quart jars (32 ounces) and the number of pint jars (16 ounces). If we let p and q be the number of pints and quarts canned, the equation that would best represent the given is,
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Simplifying the equation by dividing by 16 will give us the final answer of,
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7 0
3 years ago
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3. The average distance from the sun to the planet Jupiter is about 483,800.000. The average
MArishka [77]

Answer:

The answer to your question is:

a) sun to jupiter =  4.838 x 10 ⁸ miles

   sun to earth = 9.296 x 10 ⁷ miles

b) 5.2 times

Step-by-step explanation:

distance sun to jupiter = 483 800 000 miles

distance sun to earth = 92 960 000 miles

a)

      sun to jupiter =  4.838 x 10 ⁸ miles  just move the decimal point eight places to the left.

      sun to earth = 9.296 x 10 ⁷ miles   just move the decimal point seven places to the left.

b)

divide distance sun to jupiter by distance sun to earth =

                                  = 4.838 x 10 ⁸ / 9.296 x 10 ⁷

                                 

First divide   4.838 by 9.296    or   4.838 / 9.296 = 0.52

Then we substract the powers:  8 minus 7  or 8 -7 = 1

So we get              0.52 x 10¹  or 0.52 x 10 = 5.2 times

5 0
3 years ago
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horsena [70]

Answer:

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Step-by-step explanation:

(3x^2+2x^2-5x+7)+(4x^2+2x-3)

5x^2-5x+7+4x^2+2x-3

5x^2+4x^2-5x+2x+7-3

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5 0
3 years ago
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Determine the lowest common denominator of the following rational expressions
andreev551 [17]

Answer:

Hi the answer is A, hopefully i helped you

7 0
3 years ago
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