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Darya [45]
3 years ago
7

What is the final answer for 6x-6-7x=-13/2

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
6 0
6x - 6 - 7x = -13/2

Multiply both sides by 2:
12x - 12 - 14x = -13

Simplify:
-2x - 12 = -13

Add 12 to both sides:
-2x = -1

Divide both sides by 2:
-x = -1

Change to a positive value of x:
x = 1

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The image of the point (3, -4) under a translation is (0, –5). Find the coordinatesof the image of the point (8,7) under the sam
Sav [38]

We will have the following:

*First: We determine the translation rule:

We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:

(x,y)\to(x-3,x-1)

Second: We apply the translation rule to the other point to determine it's image, that is:

(8,7)\to(8-3,7-1)\to(5,6)

So, the image of the second point is (5, 6).

6 0
1 year ago
After a discount of 5% the sales price of a game system is $106.78 what is the original price
Mrac [35]
106.78/.05=2135.6
21356*.05=106.78
4 0
3 years ago
How many times larger is 9 × 10^9 than 3 x 10^-4
ratelena [41]
<span>   9 × 10^9
---------------- = 3 x 10^13
  </span><span>3 x 10^-4 

answer
3 x 10^13 times larger</span>
3 0
2 years ago
Ying Zyiyu covers the first 300 miles of a trip traveling at 60 mph. and the last hundred miles traveling at 40 mph. What was hi
UNO [17]

Answer:

53.33 mph

Step-by-step explanation:

Speed is the rate of change of distance with time. Mathematically,

speed = distance/time

and is measured in miles per hour or meter per second.

To get the average speed over the entire trip, we must get the total time  spent on trip and the total distance, then apply the speed formula

Time for the first 300 miles

= 300/60

= 5 hours

Time spent on the last 100

= 100/40

= 2.5 hours

Total time of the trip = 5 + 2.5

= 7.5 hours

Total distance covered

= 300 miles + 100 miles

= 400 miles

Average speed on the trip

= 400/7.5

= 53.33 miles per hour

7 0
3 years ago
Harry church borrowed 17,500.00 at 6.5% exact interest. He had to pay back a maturity value of 17,873.97 to pay off the loan. Wh
kirill [66]

Answer:the term of the loan is approximately 4 months

Step-by-step explanation:

The term of the loan means the period for which the loan was given.

We would apply the formula for simple interest which is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

P = 17500

R = 6.5%

I = total amount paid - principal

I = 17,873.97 - 17,500.00 = 373.97

Therefore

373.97 = (17500 × 6.5 × T)/100

373.97 = 1137.5T

T = 373.97/1137.5

T = 0.32 years

Converting to months, it becomes

0.32 × 12 = 3.84

Approximately 4 months.

3 0
3 years ago
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