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Andrew [12]
3 years ago
8

1. Tom distributed chocolates among his friends Alex and Kevin in the ratio 2: 1. If he had 12chocolates, how many did Kevin get

?
Mathematics
1 answer:
natulia [17]3 years ago
6 0

Kevin:

\frac{2}{2+1}\cdot12=\frac{2}{3}\cdot12=8

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[x-(3-5i)][x-(3+5i)]
12345 [234]
You would combine like terms to get x^2 - 6x + 34
4 0
3 years ago
The third term of an arithmetic sequence is-8, and the sum of the first 10 terms of the sequence is -230. Find:
mixas84 [53]

Answer:

The first term of the sequence is a = 4

The sum of the first 13 terms is -480

Step-by-step explanation:

Given that:

The third term is: a + 2d = - 8 --- (1)

The \  sum  \ of  \ the \  first \ 10  \ terms  \ is:

-230 = \dfrac{10}{2}[2a+ (10-1)d]

-230 =5[2a+ (9)d]

-230 = 10a + 45d

10a + 45d = -230     ----(2)

From (1) and (2)

a + 2d = - 8

10a + 45d = -230

From (1), let a = -8 - 2d

Replace, the value of a in (1) to equation (2)

10(-8 -2d) + 45d = -230

-80 -20d +45d =-230

25d = -230 + 80

25d = -150

d = -150/25

d = -6

From equation (1);

a + 2(-6) = -8

a -12 = -8

a = -8 + 12

a = 4

Thus,the first term of the sequence a = 4

The \  sum  \ of  \ the \  first \ 13  \ terms  \ is:

S_n = \dfrac{n}{2}[2a+(n-1)d]

S_n = \dfrac{13}{2}[2(4)+(13-1)*-6]

S_n =7.5 [8+(12)\times -6]

S_n =7.5 [8-72]

= -480

4 0
3 years ago
Solve the given inequality 11x-20<_13​
RUDIKE [14]

Answer:

x ≤ 3

Step-by-step explanation:

11

x

−

20

≤

13

Step 1: Add 20 to both sides.

11

x

−

20

+

20

≤

13

+

20

11

x

≤

33

Step 2: Divide both sides by 11.

11

x

11

≤

33

11

3 0
2 years ago
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PLEASE HELP!! Will give brainliest!<br><br> A) Greater than<br> B) Less than<br> C) Equal to
Likurg_2 [28]
Its equal to the graph
3 0
3 years ago
A hamburger stand sells hamburgers for $3.87. in one day the stand made $433.44. How many hamburgers were sold?
Makovka662 [10]
All you have to do is divide 433.44 by the price of the hamburgers, so 


433.44 ÷ 3.87 = 112


The answer is 112 (:
8 0
3 years ago
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