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Delicious77 [7]
3 years ago
9

2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

a_1 = 2.8

a_2 = 3.4

Common difference = a_2 - a_1 = 3.4 - 2.8 = 0.6.

Expression for the nth term:

a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n

n = 50 for the fiftieth term. Therefore

a_{50} = 2.2 + 0.6 \times 50 = 32.2.

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after elsa backed muffins, her brother ate 4 of them, he ate 2/5 of all the muffins, how many muffins did elsa bake?
kondor19780726 [428]
If he ate 4 of them, but it means he ate 2/5 muffins, 
4 muffins = 2/5 muffins
You substitute x muffins for how much muffins she baked in all -
2/5* x muffins = 4
2/5 multiply by 2/5 to cross it out. Do the same to the other side. 
x= 4 *5/2
x = 10 muffins
So there were 10 muffins in all


6 0
3 years ago
Read 2 more answers
A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l
Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0
3 years ago
Please help, ASAP!!​
babymother [125]

Answer:

The answer should be  x ≤ 5

3 0
3 years ago
Pls answer I will follow you if u do answer
Marianna [84]

Answer:

The answer is 113

Step-by-step explanation:

6^2 + 7(3^2 + 8 - 6)

36 + 7(9 + 8 - 6)

36 + 7(11)

36 + 77  

113

3 0
2 years ago
11 You are renting a car for a trip. You call two different rental car places about prices. Each
Sonja [21]

Answer:

Step-by-step explanation:

m is number of miles

A: 45+0.21m (45 is the initial cost)

B: 28+0.38m (28 is the initial cost)

To know how in many miles the cost will be equal,

45+0.21m=28+0.38m

0.38m-0.21m=45-28

0.17m=17

m=17/0.17 = 100

So, at 100 miles the cost will be same for company A and B.

4 0
3 years ago
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