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Ahat [919]
3 years ago
15

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference. A.) 2 B.) 1.8 C.) 8/9

Mathematics
1 answer:
ruslelena [56]3 years ago
5 0

Answer:

A

d = 2

Step-by-step explanation:

<em><u>Formula</u></em>

l = a + (n - 1)d

<em><u>Givens</u></em>

n = 10

a = - 5

l = 13

<em><u>Solution</u></em>

13 = - 5 + (10 - 1)d       Substitute

13+5 = -5+5 + 9d       Add 5 to both sides

18 = 9d                      Divide by 9

18/9 = 9/d

d = 2

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Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles. Find the number of marbles Leah has.
konstantin123 [22]

Answer:

Leah has 48 marbles.

Step-by-step explanation:

Represent the number of marbles that each person has by L and D.

Leah has 28 more marbles than Dan:  L = D + 28.

Then (1/3)L = (4/5)D.  Here the LCD is 15, and so multiplying this equation by 15 will remove the fractions:  15(1/3)L = 15(4/5)D.  

Therefore, 5L = 12D, and D = 5L/12.

Then, since L = D + 28,        L = (5/12)L + 28, or

12L = 5L + 336, or

7L = 336, or

L = 336/7 = 48.

Leah has 48 marbles.  That means that Dan has 20 marbles.

7 0
3 years ago
Read 2 more answers
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sergejj [24]

Answer:

1. (x+2y)^2-ab    x^2+4xy+4y^2-ab

2. 3n-13<9       n<22/3

3. 6+n/7=4     n/7=-2

8 0
4 years ago
PLS HELP ME WITH 4 AND 5 PLS!
LiRa [457]
4. (x+1)(3x-5)

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4 0
3 years ago
2 1/5 divided by 5/6​
Gnesinka [82]

Answer:

 2 11/25

Step-by-step explanation:

I hope this helps :)

8 0
3 years ago
What is the probability of choosing a number from 1 to 10 that is greater than 5 or even?
dedylja [7]

Answer:

3/10  or 30%

Step-by-step explanation:

The longest, yet easiest way to do this is to find all possible numbers that fit this scenario

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Even Numbers: 2, 4, 6, 8, 10

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Now find common numbers in both categories

6,8, and 10

meaning the probability is 3/10 or 30%

7 0
3 years ago
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