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Setler [38]
3 years ago
13

Solve 5n – 7p + 3n = 25p for n.

Mathematics
2 answers:
jekas [21]3 years ago
8 0

Simplifying:

5n + -7p + 3n = 25p

Reorder the terms:

5n + 3n + -7p = 25p

Combine like terms: 5n + 3n = 8n

8n + -7p = 25p

Solving:

8n + -7p = 25p

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '7p' to each side of the equation.

8n + -7p + 7p = 25p + 7p

Combine like terms: -7p + 7p = 0

8n + 0 = 25p + 7p

8n = 25p + 7p

Combine like terms: 25p + 7p = 32p

8n = 32p

Divide each side by '8'.

n = 4p

Simplifying:

n = 4p

Hope this helps!

saul85 [17]3 years ago
7 0

5n – 7p + 3n = 25p

Combine like terms

8n - 7p = 25p

Add (7p) to both sides

8n - 7p + 7p = 25p + 7p

Simplifying

8n = 32p

Divide both sides by 8

8n / 8 = 32p / 8

Simplifying

n = 4p

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Find positive numbers x and y satisfying the equation xyequals12 such that the sum 4xplusy is as small as possible. Let S be the
WITCHER [35]

Answer:

The objective function in terms of one​ number, x is

S(x) = 4x + (12/x)

The values of x and y that minimum the sum are √3 and 4√3 respectively.

Step-by-step explanation:

Two positive numbers, x and y

x × y = 12

xy = 12

S(x,y) = 4x + y

We plan to minimize the sum subject to the constraint (xy = 12)

We can make y the subject of formula in the constraint equation

y = (12/x)

Substituting into the objective function,

S(x,y) = 4x + y

S(x) = 4x + (12/x)

We can then find the minimum.

At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0

(dS/dx) = 4 - (12/x²) = 0

4 - (12/x²) = 0

(12/x²) = 4

4x² = 12

x = √3

y = 12/√3 = 4√3

To just check if this point is truly a minimum

(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)

4 0
2 years ago
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Trava [24]

Answer:

8

Step-by-step explanation:

I believe that the answer is 8

8 0
2 years ago
Which angles are a linear pair
mihalych1998 [28]

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

3 0
3 years ago
How do we find the rate of a loan if the total payment is $1,235. The loan was $800 in 5 years
garik1379 [7]
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7 0
3 years ago
How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0
3 years ago
Read 2 more answers
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