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Assoli18 [71]
3 years ago
13

The sum of a number x and 8, all divided by 3

Mathematics
1 answer:
mash [69]3 years ago
8 0

Answer

x/3 and 2 1/3

Step-by-step explanation:

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14. How much greater is the sum of the first 50 counting numbers greater than the sum of the first 100 counting numbers? a. 110
77julia77 [94]

Answer:

b. 3.775

Step-by-step explanation:

The question is worded incorrectly since the sum of the first 100 counting numbers is actually greater than the sum of the first 50 counting numbers.

The sum of any set of consecutive numbers of size 'n' is given by:

S = \frac{(A_1+A_n)*n}{2}

Where A1 is the first number on the set and An is the last number.

The sum of the first 100 counting numbers (1 through 100) is:

S_{100}= \frac{(1+100)*100}{2}=5,050

The sum of the first 50 counting numbers (1 through 50) is:

S_{50}= \frac{(1+50)*50}{2}=1,275

The difference between those two values is:

S_{100} -S_{50} =5,050-1,275=3,775

Therefore, the sum of the first 100 counting numbers is 3,775 greater than the sum of the first 50 counting numbers.

7 0
3 years ago
Tres hombres forman una sociedad y se ponen de acuerdo para repartir las ganancias en partes iguales x invierte $3500 y Y invier
Arlecino [84]
For this case, the total amount invested is:
 investment = 3500 + 1000 = 4500
 We must take out the percentage of what X invested.
 X investment = (3500/4500) * 100 = 77.78%.
 Therefore, X gets 77.78% of the profits:
 X profit = 0.7778 * 3000 = 2333.33 $
 answer
 if the profits are distributed in proportion to the amount invested X receives 2333.33 $
6 0
4 years ago
The table represents the function f (x) = 3x-1
Ann [662]

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

f(x) = 3x - 1

To find the value of a, we substitute x=-5.

f( - 5) = 3( - 5)  - 1  \\ f( - 5) =  - 15 - 1 \\ f( - 5) =  - 16

\therefore \: a =  - 16

To find the value of b, we substitute x=4.

f(4) =3(4)  - 1  \\ f(4) = 12 - 1 \\ f(4) =  11

To find the value of c, we substitute x=8,

f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23

c = 23

8 0
3 years ago
4x+5y=13<br> 8x+7y=11 <br> find solution of system of equation
Pavel [41]

Point Form:

(−3, 5)

Equation Form:

x = −3,y = 5

3 0
3 years ago
B<br> D<br> which angles add up to 180
lions [1.4K]

Answer:

Two Angles are Supplementary when they add up to 180 degrees.

Step-by-step explanation:

4 0
3 years ago
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