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anygoal [31]
1 year ago
13

What is a21 of the arithmetic sequence for which a7 = -19 and a10 =-28

Mathematics
1 answer:
AlekseyPX1 year ago
3 0

a_{n} = a_{1} + (n - 1)d \\ a_{7} = a_{1} + (7 - 1)d \\ a_{7} = a_{1} + 6d \\ a_{10} = a_{1} + 9d

- 19 = a_{1}  + 6d \\  - 28 =  a_{1} + 9d \\  \\  - 19 =  a_{1} + 6d \\ 28 =  -  a_{1} - 9d \\\  - 3d = 9 \\ d =  - 3

a_{1} =  - 19 - 6d =  - 19 - 6( - 3) =  - 1 \\

a_{21} =  a_{1} + (21 - 1)d \\ a_{21} =  - 1 + 20( - 3) =  - 61

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5 0
3 years ago
Solve for x in terms of r, s and t : s=2x+t/r
Anna007 [38]

For this case we have the following equation:

s = \frac {2x + t} {r}

We must clear the value of the variable "x" as a function of r, s and t:

If we multiply by "r" on both sides of the equation we have:

rs =2x + t

If we subtract "t" on both sides of the equation we have:

rs-t = 2x

If we divide by "2" on both sides of the equation we have:

x = \frac {rs-t} {2}

Thus, the value of the variable "x" is:

x = \frac {rs-t} {2}

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x = \frac {rs-t} {2}

4 0
3 years ago
Please help me with my question!!
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Answer:

10

Step-by-step explanation:

Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4

2 1/2 = 5/2

(5/2)/(1/4) = 20/2 = 10

7 0
3 years ago
How to turn a fraction into a division problem?
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3 0
3 years ago
What is the largest number of pancakes that Benjamin can afford
aleksklad [387]

Answer:

See explanation

Step-by-step explanation:

Here is the complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?

Given:

Cost of chocolate milk = $3.25

Maximum bill that Benjamin wants before tax = $30

Cost of stack of 4 pancakes = $5.50

Let S be the number of stacks of pancakes that Benjamin buys

Solution:

Cost per stack of pancakes = $5.50  

Cost of S number of stacks of pancakes = S*5.50  = 5.50 S

So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes

Compute the total money spent by Benjamin:

Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S

Maximum bill that Benjamin wants is $30 So,

The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:

3.25 + 5.50S ≤ 30  ----- (1)

Now using (1) we can find the largest number of pancakes that  Benjamin can afford :

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25    

subtract 3.25 from 30

5.50S ≤ 26.75

Divide by 5.50

S ≤ 4.863636

S ≤ 4.86

S≤ 4 approx

Since the restaurant only sells pancakes in stacks of 4 pancakes so,

4 stacks = 4 *4 =  16

So the largest number of pancakes that Benjamin can afford are 16.

If we do not round off the the value stacks then we get:

4.86 stacks = 4.86 *4 =  19.44 pancakes

So the largest number of pancakes that Benjamin can afford are 19

3 0
3 years ago
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