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Otrada [13]
3 years ago
8

The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.

Mathematics
1 answer:
quester [9]3 years ago
7 0
To find the integer, you must cross multiply, group the same terms, then divide both side by 2:

Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9

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The half-life of a certain radioactive material is 83 hours. An initial amount of the material has a mass of 67 kg. Write an exp
Anvisha [2.4K]

Answer:

  • Initial amount of the material is 67 kg
  • Hal-life is 83 hours

<u>The required equation is:</u>

  • m(x) = 67 * (1/2)^{x/83}, where m- remaining amount of the radioactive material, x - number of hours

<u>After 5 hours the material remains:</u>

  • m(5) = 67 * (1/2)^{5/83} = 64.260 (rounded)
4 0
2 years ago
The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a
Paha777 [63]
Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.

By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.

ANSWER: One whole cycle of the weight took 6 seconds.
4 0
3 years ago
Wen was hiking on a 12-mile route. During the first 2 hours, his hiking speed was 3 mph. During the rest of the hike, his speed
Mars2501 [29]

The total time taken to cover 12 miles distance is 5 hours.

<u>Given the Parameters</u> :

  • Total distance hiked = 12 miles

Recall :

  • Distance = speed × time

Let :

  • Total Time taken = t

<u>We could create an equation thus</u> :

Total distance = 3(2) + 2(t - 2)

12 = 6 + 2t - 4

12 = 2 + 2t

12 - 2 = 2t

10 = 2t

t = 10/2

t = 5

Therefore, the total time taken is 5 hours

Learn more :brainly.com/question/18796573

5 0
2 years ago
) Fred buys a video game disk for $4. There was a discount of 20%.What is<br> the sales price?
dolphi86 [110]

Answer:

so 4 dollars is discount

100-20=80 so

4 dollars =80%

1 dollar=20%

80+20=100

4+1=5

original price=$5

6 0
2 years ago
Read 2 more answers
Pls help What is true about the following sequence: 2.7, 6.5, 10.3, 14.1, 17.9*
RSB [31]

Answer:

<em>D.) It has a common difference of 3.8</em>

Step-by-step explanation:

When you subtract a_{2} -a_{1} you get a common difference, the same goes for the other values: when you subtract the previous term from the next, you get a common difference of positive 3.8

7 0
2 years ago
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