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3 years ago

100 POINTS

Mathematics

2 answers:

ra1l [238]3 years ago

4 0

Answer:

i do not know

Step-by-step explanation:

because i am stupid

Talja [164]3 years ago

4 0

Answer:

6 ways to win

Step-by-step explanation:

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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.

il63 [147K]

The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

= 10 [ 7.7 + 19 x 0.25 ]

= 10 [ 7.7 + 4.75 ]

= 10 x 12.45

= 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

brainly.com/question/25749583

#SPJ1

8 0

1 year ago

I need help :/ i have five questions

IrinaK [193]

Answer:

Step-by-step explanation:

1. The given equation is:

$\frac{3}{5}{\times}\frac{4}{5}$

Multiplying both the terms, we get

$\frac{12}{25}$

Option A is correct.

2. The given equation is:

$2\frac{1}{3}{\times}\frac{3}{4}$

Converting the improper fraction into the mixed fraction,

$\frac{7}{3}{\times}\frac{3}{4}$

= $\frac{7}{4}$

Option C is correct.

3. The given equation is:

$\frac{3}{16}{\times}\frac{4}{21}$

Multiplying both the terms, we get

= $\frac{1}{28}$

4. The given equation is:

$3\frac{8}{9}{\times}4\frac{4}{5}$

Converting the improper fraction into the mixed fraction,

$\frac{35}{9}{\times}\frac{24}{5}$

= $\frac{56}{3}$

5. One package contains= $5\frac{1}{4}=\frac{21}{4}$ pounds of raisins.

$4\frac{2}{3}$ packages contains= $4\frac{2}{3}{\times}5\frac{1}{4}$ pounds of raisins.

= $\frac{14}{3}{\times}\frac{21}{4}$

= $\frac{49}{2}$

Therefore, the baker used $\frac{49}{2}$ pounds of raisins.

5 0

4 years ago

What is y = x2 + 4x + 7 in vertex form

Makovka662 [10]

Answer:

$y = (x + 2)^{2} + 3$

6 0

3 years ago

Please help, i really need help

AveGali [126]

Answer :

35 hot dogs and 52 sodas were sold.

Step-by-step explanation:

Let the no. of hot dogs sold be x and no. of sodas sold be y .

Put together your two equations, and find the values of x and y, to know exactly how many hot dogs and sodas were sold.

Hope i was able to help:)))

6 0

3 years ago

Find the angles a, b, c and d.

Alborosie

A=180-79= 101°

B=75°

C=83°

D=101°

6 0

3 years ago

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