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mrs_skeptik [129]
3 years ago
5

*

Mathematics
1 answer:
scoray [572]3 years ago
7 0

Answer:

n=\frac{189}{104}

Step-by-step explanation:

7−2(8n−3)=4(n−2)(22)

Step 1: Simplify both sides of the equation.

7−2(8n−3)=4(n−2)(22)

7+(−2)(8n)+(−2)(−3)=88n+−176(Distribute)

7+−16n+6=88n+−176

(−16n)+(7+6)=88n−176(Combine Like Terms)

−16n+13=88n−176

−16n+13=88n−176

Step 2: Subtract 88n from both sides.

−16n+13−88n=88n−176−88n

−104n+13=−176

Step 3: Subtract 13 from both sides.

−104n+13−13=−176−13

−104n=−189

Step 4: Divide both sides by -104.

-\frac{104n}{104} =-\frac{189}{104} \\n=\frac{189}{104}

Answer:

n=\frac{189}{104} \\

Hope this helps

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Answer:

11. 736080 cars //   12. 5397920 cars

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so to find this 12% = 12 * 61340 = 736080 cars produced by America

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A’s DJ service charges a $200 setup fee and $75 an hour after that.
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The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

y=200+75x .... (1)

Let Y represent the cost for B's DJ service.

y=125x .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

125x= 200+75x

125x-75x=200

50x=200

x=4

y=125\times 4 =500

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

-y = -125x.... Equation (3).

Add euation (1) and equation (3)

y+(-y) = 200+75x-125x

0=200-50x

50x=200, x=4

y=500

Solution: For x = 4, y = 500 ( same as the previous two methods)

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For x = 2, equation (2)

y= 125\times 2 =250

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

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y=200+(75\times 6) =650

For x= 6, equation (2)

y=125\times 6=750

For 6 hours, DJ A would be  better option since it charges $650 for 6 hours.



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