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andreev551 [17]
3 years ago
11

The first five terms of a pattern are given below. 38, 41, 44, 47, 50.... Which expression can be used to determine the nth term

of the pattern? A. 35 + 3n B. 41 - 3n C. 40 - 2n D. 36 + 2n
Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

a = 38

d = 41 - 38 = 3

nth term = 38 + 3(n-1)

= 38 + 3n - 3

= 35 + 3n

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The question is below
Anna35 [415]

Answer:

12) A = 27

13) B =  36

14) C = 25

15) D = 30

Step-by-step explanation:

We need to complete the ratio tables

We are given:

Footballs 15   5   20   C     D

Baseballs A   9    B    45   54

The table shows the ratio of footballs to baseballs.

We are given the ratio \frac{Football}{Baseball}=\frac{5}{9}

All other ratios will also be simplified to get \frac{5}{9}

12) Calculate A

Footballs = 15

Baseballs = A

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.

We know that \frac{5\times3}{9\times3}= \frac{15}{27}

So, A = 27

13) Calculate B

Footballs = 20

Baseballs = B

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.

We know that \frac{5\times4}{9\times4}= \frac{20}{36}

So, B = 36

14) Calculate C

Footballs = C

Baseballs = 45

Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.

We know that \frac{5\times5}{9\times5}= \frac{25}{45}

So, C = 25

15) Calculate D

Footballs = D

Baseballs = 54

Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.

We know that \frac{5\times6}{9\times6}= \frac{30}{54}

So, D = 30

8 0
3 years ago
The value of two numbers if their sum is 24 and their difference is 4.
ankoles [38]

Answer:

14 and 10

Step-by-step explanation:

14+10=24

14-10=4

6 0
3 years ago
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