MATHEMATICS HIGH SCHOOL

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

Answers

Answer 1
Answer:

Answer:

23rd term of the arithmetic sequence is 118.

Step-by-step explanation:

In this question we have been given first term a1 = 8 and 9th term a9 = 48

we have to find the 23rd term of this arithmetic sequence.

Since in an arithmetic sequence

T_(n)=a+(n-1)d

here a = first term

n = number of term

d = common difference

since 9th term a9 = 48

48 = 8 + (9-1)d

8d = 48 - 8 = 40

d = 40/8 = 5

Now T_(23)= a + (n-1)d

= 8 + (23 -1)5 = 8 + 22×5 = 8 + 110 = 118

Therefore 23rd term of the sequence is 118.

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A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?​

Answers

Answer:

626

Step-by-step explanation:

So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger

Match the sequence with the correct indicated term.

1)a1 = -4, d= -9, n=20
2)a1 =20, d=4, n=81
3)a12 for 8,3,-2,...

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A)340
B)-47
C)-175
D)94

*PLEASE EXPLAIN*

Answers

1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)

2) a81 = 20 + 4*80 = 340;
2) ---> A)

3) a12 = ?
3) ---> B) or D).

Find a polynomial function whose graph passes through each set of points (-1,8), (5,-4), and (7, 8)

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y = x^2 - 6x + 1

I just did it

Trying to find out what 18 minus one third is and what 12 minus 0ne fourth

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18 - 1/3 = 53/3 or 17 2/3

12 - 1/4 = 47/4 or 11 3/4

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so what you do is 18/1 - 1/3 then you find the least common denominator which is 3
then you multiply 18/1 by three and turn it into 54/3
then you do 54/3-1/3 which equals 53/3
answer is 17 2/3

Ronnie wants to buya computer table that measures 10 feet by 17 feet.The cost of the table is $16 per square foot.How much will it cost Ronnie to buy the computer table for his study?

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find how many square feet it is
assumng the table is a rectangle
area=legnth times width
area=10 times 17=170

16 per 1 square foot
16 imes 170=2720

answer is $2720

Add −3 1/6+53/4 I need help

Answers

Answer: 8 11/12

Step-by-step explanation:

3 1/6+ 5 3/4

19/6+ 23/4

38/12+69/12

107/12

8 11/12

To solve this problem, you must understand what is the Common Denominator Rule:

The Common Denominator rule is when you use the common factors of the denominators to make them the same number. This will allow you to add and subtract fractions.

First, let’s put these two mixed fractions as improper fractions. Learn more about making that conversion here: brainly.com/question/35061276

(23)/(4)

(-19)/(6)

Now that you have your fractions, look at the denominators: 6 and 4.

A common factor between 4 and 6 is the number 12. Multiply the denominators and numerators of each fraction by the number that will turn the denominator into 12:

((23)(3))/((4)(3)) = (69)/(12)

((-19)(2))/((6)(2)) = (-38)/(12)

Now that both factions have the same number in the denominator, you can add them together!

*be aware of the negative sign*

Your answer should be:  (31)/(12)
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