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Olegator [25]
3 years ago
11

4(5n -7) =10+2 i need step by step explanation i dont get it

Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0

Answer:

n=2

Step-by-step explanation:

4(5n-7)=10+2

1) First, distribute (multiply out 4)

20n-28=10+2

2) Combine like terms (add 10 and 2)

20n-28=12

3) Isolate the variable (Add 28 to 12)

20n=40

4) Isolate the variable (Divide by 20)

n=2

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Members of the track team can run 400 min an average time of 64.6 seconds. The
vova2212 [387]

Answer:

T maximum=T average -7.8 seconds

T minimum=T average +7.8 seconds

Step-by-step explanation:

Calculation for the equation that can be

use to find the maximum and minimum times for the track team

Using this equation to find the maximum times for the track team

T maximum=T average -7.8 seconds

T maximum=64.6 seconds-7.8 seconds

Using this equation to find the minimum times for the the track team

T minimum=T average +7.8 seconds

T minimum=64.6 seconds +7.8 seconds

Therefore the equation for the maximum and minimum times for the track team are :

T maximum=T average -7.8 seconds

T minimum=T average +7.8 seconds

6 0
2 years ago
The temperature of a cooling liquid over time can be modeled by the exponential function T(x) = 60(1/2)^(x/30) + 20, where T(x)
Alexus [3.1K]
Based on the scenario, the initial temperature would be :

28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 

80 C

Hope this helps
6 0
3 years ago
Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the
dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is A=\frac{lwh}{3} . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s

In short, the slant height is 10.8 ft.

3 0
3 years ago
13. All students in a class play Scrabble or Checkers or both, 36% of the students play Scrabble only:
Genrish500 [490]

Answer:

b) 16%

Step-by-step explanation:

add 36 to 48 (84) then subtract that from 100. 16% played both games

6 0
3 years ago
Read 2 more answers
A wood stove burns 4 same-sized logs in 2 hours. How many logs does the stove burn in 8 hours?
Liono4ka [1.6K]
(4logs/2hours) = (x logs/8 hours)

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Cross multiplication gets you:

(4)(8) = (2)x
32 = 2x
x = 16

16 logs
8 0
3 years ago
Read 2 more answers
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