A- 63
B- 125
C-44
D-45

Answer:

21

Sorry if not correct

But I think this is the answer

The number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]

Its nth term is

[tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is

[tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

For this case, we can use arithmetic sequence as the number of seats in each next row is 3 more than previous row, so there is constant difference.

Now, the first number is 15, so we have: a = 15,d = 3 (increasing, so positive).

Let there are 'n' row in the theater.

Then the nth term of the arithmetic sequence having a = 15 and d = 3 should be 78 (as the nth row from first to last is the last row, having 78 seats).

Thus, we get:

[tex]T_n = a + (n-1)d\\78 = 15 + (n-1)3\\78-15 =3n - 3\\\\n = \dfrac{63+3}{3} = 22[/tex]

Thus, the number of rows in the considered theater which has 3 more seats that seats that the previous row, with first row having 15 and last row having 78 seats is given by: Option D: 22

Learn more about arithmetic sequence here:

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Answer:

Hope this helps

Step-by-step explanation:

Step-by-step explanation:

given,

JIMMY bought,

no. of daylillies = 4

no. of shrubs = 9

total cost of all material he bought = $80

TED bought,

no. of daylillies = 12

no. of shrubs = 4

total cost of all material he bought = $148

let daylillies be x and shrubs be y

the equation is,

4x + 9y = $80 -----------(1)

12x + 4y = $148 -----------(2)

now, multiply (1) by 3 we got,

12x + 27y = $240 -----------(3)

now, subtract (2) from (3) we got,

23y = 92

→ y = 92/23 = 4

→ y = 4

therefore cost of shrubs are $4.

so, cost of daylillies,

→ 12x + 4(4) = 148

→ 12x = 148 - 16 = 132

→ x = 132/12 = 11

→ x = 11

Hence, cost of daylillies are $11 and shrubs are $4.

hope this answer helps you dear......take care and may u have a great day ahead!

[tex]\\ \sf\longmapsto 8r+9-4r-3r-8r[/tex]

[tex]\\ \sf\longmapsto 8r-4r-3r-8r+9[/tex]

[tex]\\ \sf\longmapsto -7r+9[/tex]

[tex]\\ \sf\longmapsto 9-7r[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here's the solution for You !

just combine the like terms :

Answer:

x < -20

Step-by-step explanation:

x / -4  + 14 >20

Subtract 14 from each side

x / -4 +14-14 > 20 -14

x / -4 > 6

Multiply each side by -4, remembering to flip the inequality

x / -4 * -4 < 6 * -4

x < -20

Answer:

1) Linear equation

2) Non Linear equation

3) Non Linear equation

4) Linear equation

5) Non Linear equation

i hope this helps!

Step-by-step explanation:

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

Answer:

x^2/3, this the correct answer.

Step-by-step explanation:

It's simple!

=x^1/6+1/6+1/6+1/6

=x^4/6

=x^2/3

Answer:

is good

Step-by-step explanation:

Answer:

y=9-2x

Step-by-step explanation:

The equation that shows the relationship between the number of hours since Emmy went to bed is y = -2x + 9.

A linear equation is given by:

y = mx + b;

m is the rate of change, b is the initial value of y and y,x are variables.

Let x represent the number of hours since Emmy went to bed and y the temperature in °F. Since temperature has been dropping 2°F each hour, m = -2. Also b = 9°F, Hence:

y = -2x + 9

The equation that shows the relationship between the number of hours since Emmy went to bed is y = -2x + 9.

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Answer:

15 and 7 Im almost certain

Step-by-step explanation:

Step-by-step explanation:

=total pay=(8x30)+20

=240+20=£260

=Total pay=(8x34)+bonus

300-272+bonus

300/-272 -272/-272 +bonus

bonus=£28

Answer:

a, b, d, e, f

Step-by-step explanation:

only c is incorrect

Answer:

Step-by-step explanation:

b  - 7x = (-4) - 7*2

          = -4 - 14      {both numbers have same sign, so add and put the - sign for the result}

         = -18

Answer: 3.1 x 10¹⁰

Explanation: None

Uniform probability distribution describes a distribution which is continous and the probability that a random variable assumes a value in any interval of equal length is the same for each interval.

Therefore, the true statement is the option B.

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Answer:

Angle A +Angle B=180

67+B=180

B=113°

Answer:

Step-by-step explanation:

Hey ! I beleive this is the answer: 27.5/100=.275

1. figure 4 would be 81

Explanation:

from figure 1 wich is 3, if you keep multiplying 3 until figure 4. the shaded triangle would be 81

1x3 - 3

3x3 - 9

9x3 - 27

27x3 - 81

2. figure 10 would be 59,049

Explanation:

from figure 1 wich is 3, if you keep multiplying 3 until figure 10. the shaded triangle would be 59,049

1x3 - 3

3x3 - 9

9x3 - 27

27x3 - 81

81x3 - 243

243x3 - 729

729x3 - 2,187

2,187x3 - 6,561

6,561x3 - 19,683

19,683x3 - 59,049

3. it would be figure 8 wich is 6,561

Explanation:

1x3 - 3

3x3 - 9

9x3 - 27

27x3 - 81

81x3 - 243

243x3 - 729

729x3 - 2,187

2,187x3 - 6,561

Answer:

please keep the question clearly

Based on the given information, Michael's age is 13, and Gabrielle's age is 26.

Let's represent Gabrielle's age as G and Michael's age as M.

Given that Gabrielle's age is two times Michael's age, we can express this relationship as:

G = 2M.

We also know that the sum of their ages is 39:

G + M = 39.

Now, we can substitute the value of G from the first equation into the second equation:

2M + M = 39.

Combining like terms:

3M = 39.

To isolate M, we divide both sides of the equation by 3:

M = 39 / 3.

Simplifying further:

M = 13.

Therefore, Michael's age is 13.

To confirm this result, we can substitute M = 13 back into the equation G = 2M:

G = 2(13).

G = 26.

So, Gabrielle's age is 26.

For similar question on age.

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#SPJ8

Answer:

−[tex]x^{2}[/tex] + [tex]x^[/tex] − 1

Answer:x=2

Step-by-step explanation:

hope it helps

Answer:

6

Step-by-step explanation:

Because 42/7 simplified is 6/1 and 6/1 = 6.

Also / means division, you can just divide 42 by 7 = 6.

:)

Answer:

Step-by-step explanation:

[tex]11. \: \: - 2.5(4x - 4) = - 6 \\ - 2.5(4x) - 2.5(4) = - 6 \\ - 10x + 10 = - 6 \\ - 10x + 10 - 10 = - 6 - 10 \\ - 10x = - 16 \\ \frac{ - 10x}{ - 10} = \frac{ - 16}{ - 10} \\ x = 1.6 \\ [/tex]

[tex] \frac{1}{6} (x - 5) = \frac{1}{2} (x + 6) \\ \frac{1}{6} \times x + \frac{1}{6} ( - 5) = \frac{1}{2} \times x + \frac{1}{2} \times 6 \\ \frac{x}{6} - \frac{5}{6} = \frac{x}{2} + \frac{6}{2} \\ \frac{x - 5}{6} = \frac{x + 6}{2} \\ 2(x - 5) = 6(x + 6) \\ 2x - 10 = 6x + 36 \\ - 10 - 36 = 6x - 2x \\ - 46 = 4x \\ \frac{ - 46}{4} = \frac{4x}{4} \\ \frac{ - 23}{2} = x \\ - 11 \frac{1}{2} = x[/tex]

Answer:

a = 36

Step-by-step explanation:

6 = [tex]\frac{a}{4+2}[/tex] , that is

6 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

36 = a

Line segments can be divided into sub-segments.

The value of DF is 18

The given parameters are:

[tex]\mathbf{BE = 3x + 6}[/tex]

[tex]\mathbf{DF = 7x + 4}[/tex]

We have:

[tex]\mathbf{BE + DF = 30}[/tex]

So, we have:

[tex]\mathbf{3x + 6 + 7x + 4 = 30}[/tex]

[tex]\mathbf{10x + 10 = 30}[/tex]

Subtract 10 from both sides

[tex]\mathbf{10x = 20}[/tex]

Divide both sides by 10

[tex]\mathbf{x = 2}[/tex]

Substitute [tex]\mathbf{x = 2}[/tex] in [tex]\mathbf{DF = 7x + 4}[/tex]

[tex]\mathbf{DF = 7 \time 2 + 4}[/tex]

[tex]\mathbf{DF = 14 + 4}[/tex]

[tex]\mathbf{DF = 18}[/tex]

Hence, the value of DF is 18

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Answer:

x = - 1

Step-by-step explanation:

3(x + 2) = 2x + 5 ← distribute parenthesis on left side by 3

3x + 6 = 2x + 5 ( subtract 2x from both sides )

x + 6 = 5 ( subtract 6 from both sides )

x = - 1

Answer:

Step-by-step explanation:

a  and d  are in standard form.

b and c are in factored form

ax² + bx + c  ---> this is the standard form.

If the equation is written as product of two terms then it is in factored  form.