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noname [10]
2 years ago
7

The average distance is 92,950,000 miles between earth and sun but the distance can vary 1,550,000 miles from the average. find

an absolute value equation that models the situation and has a minimum and maximum distance between the earth and sun as solutions
Mathematics
1 answer:
Semenov [28]2 years ago
7 0

Answer:

  |x -92,950,000| = 1,550,000

Step-by-step explanation:

The positive difference (x) from average will be ...

  |x -92,950,000|

We want that to be 1,550,000 so that the only solutions to the equation are the minimum and maximum values of distance.

  |x -92,950,000| = 1,550,000 . . . . . where x is earth-sun distance

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Sergio [31]

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Step-by-step explanation:

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Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and
asambeis [7]

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

6 0
3 years ago
For which value of a are the graphs of –4 = 3x + 6y and ax – 8y = 12 parallel? a = –4 a = a = a = 2
anygoal [31]
-4 = 3x + 6y
6y = -3x - 4
y = -1/2x - 2/3.....slope here is -1/2. A parallel line will have the same slope

ax - 8y = 12
-8y = -ax + 12
y = (-a/-8)x + 12......so a would have to be -4 because -(-4) / -8 = -4/8 = -1/2

ur answer is : a = -4
7 0
3 years ago
A company sells fruit cups in packs of 4. The packs currently weigh 20 oz. The company plans to reduce the weight of each cup by
skad [1K]

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task:  Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

6 0
2 years ago
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