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Alika [10]
3 years ago
9

The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine these numbers

Mathematics
1 answer:
vivado [14]3 years ago
4 0
(x + y = 125)3
5x - 3y = 41
3x - 3y = 375
8x = 416, x = 52
52 + y = 125, y = 73

Solution: the numbers are 52 and 73
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What is the sum of the first five terms of a geometric series with a1 = 6 and r = 1/3? Express your answer as an improper fracti
Likurg_2 [28]

Answer:

  242/27

Step-by-step explanation:

Using the formula for the sum, you can fill in the given values and do the arithmetic.

  Sn = a1·(r^n -1)/(r -1)

  S5 = 6·((1/3)^5 -1)/(1/3 -1) = 6(-242/243)/(-2/3) = 6·(121/81)

  S5 = 242/27

_____

Or, you can write the terms and add them up. The sum is ...

  6 + 2 + 2/3 + 2/9 + 2/27 = (162 +54 +18 +6 +2)/27 = 242/27

5 0
3 years ago
Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than
coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x

He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =

x + 2.8

Since the distance uphill is the same as the distance downhill, then

2x = x + 2.8

2x - x = 2.8

x = 2.8

Therefore, the distance hiked up the canyon is

2x = 2 × 2.8 = 5.6 miles

8 0
3 years ago
What isthe answer to 3/5 ❌ 20
finlep [7]
3/5 × 20/1 = 12 because 3×20 is 60 and 5×1 is 5 so 60/5 and that simplifies to 12
4 0
3 years ago
Solve the formula for the indicated variable.<br> T(r+s)=rs, for r<br> (Simplify your answer.)
yaroslaw [1]

Answer:

R = \frac{-TS}{(T-S)}

Step-by-step explanation:

First, distribute all terms

T(R+S) =RS\\TR + TS =RS

Get all terms with R onto the same side

TR + TS = RS\\TR - RS = -TS

Factor out the R

R(T-S)=-TS

Divide by (T-S) to isolate R

R = \frac{-TS}{(T-S)}

5 0
3 years ago
Read 2 more answers
The sum of 4 consecutive multiples of 6 is 540. What is the greatest of these numbers?
pychu [463]

Answer:

144

Step-by-step explanation:

First: 6x

Second: 6x+6

Third: 6x+12

Fourth: 6x+18

- Since they're multiples of 6

6x+6x+6+6x+12+6x+18=540

24x+36=540\\

Subract 36 from each side give us...

24x=504\\x=21

21(6)+18=144

Hope this helped! Please mark brainliest :)

4 0
3 years ago
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