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Ganezh [65]
4 years ago
14

Solve for d. 6(d+1)−2d=54

Mathematics
2 answers:
alexandr402 [8]4 years ago
3 0

Answer:

12

Step-by-step explanation:

6(d+1)−2d=54

Here, we have to find the value of d

multiply (d+1) by 6

6×d + 6×1 - 2 d= 54

6d + 6 - 2d= 54

Now subtract 2 d from 6d

6d- 2d +6= 54

4 d+ 6=54

Now, by using transposition  method,

+ 6 will be transferred from L.H.S to -6 to R.H.S

4 d = 54- 6

4d= 48

Now, divide 48 by 4

d= 48÷ 4

d= 12

Hence, the value of d is 12

Hence, the correct answer is 12

kolezko [41]4 years ago
3 0

To solve this for d, first distribute 6 into the values in the parentheses.

6(d+1)-2d=54

6d+6-2d=54

Then, combine like terms (add 6d+(-2d).

6d+6-2d=54

4d+6=54

Subtract 6 from both sides.

4d+6-6=54-6

4d=48

Divide both sides by 4 for d.

\frac{4d}{4}=\frac{48}{4}

d=12

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A community theater uses the function p(d)=−4d2+200d−100 to model the profit (in dollars) expected in a weekend when the tickets
bixtya [17]

Answer:

price = $25

maximum profit is $2400

Step-by-step explanation:

Given the function modeled by the community theatre as

p(d)=−4d^2+200d−100

The maximum profit will be ,ade at dP/dd = 0

dP/dd = -8d + 200

0 = -8d + 200

8d = 200

d = 200/8

d = 25

hence he theatre will make maximum profit at a price of $25

Substitute d = 25 to get the maximum profit

p(25)=−4(25)^2+200(25)−100

p(25) = -2500+5000-100

p(25) = 2400

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8 0
3 years ago
All the numbers that are highlighted
liberstina [14]
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4 years ago
What is the formula for dilation (the formula we've been using for the entire module)
strojnjashka [21]

Answer:

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Step-by-step explanation:

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3 years ago
Rewrite for two solutions: (x – 3) = 11, –(x – 3) = 11  
ANEK [815]

Answer:

x= 14, x=-14

Step-by-step explanation:

All you have to do is combine like-terms:

x-3=11

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and,

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============================================

How I got that answer:

The vertex is the lowest point of parabolas that open upward.

(h,k) = vertex

(h,k) = (-3,-1)

h = -3

k = -1

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The general template of a quadratic in vertex form is

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