A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student

The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.

Important information:

We need to find the 12 th term.

In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].

The nth term is:

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.

The 12th term is:

[tex]a_{12}=2(5)^{12-1}[/tex]

[tex]a_{12}=2(5)^{11}[/tex]

[tex]a_{12}=97656250[/tex]

Therefore, the 12th term of the geometric sequence is 97656250.

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Answer: 97656250.

Step-by-step explanation:

dm

After substituting the given values of x and y in the equation, all that can apply are (0, 2), (3, 0), and (6, -2).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The given equation is,

2x + 3y = 6

Now, substitute the corresponding points and check,

1. For points (0, 2)

2(0) + 3(2) = 6

6 = 6, this is correct.

2. For points (0, 6)

2(0) + 3(6) = 18

6 ≠ 18, this is incorrect.

3. For points (2, 3)

2(2) + 3(3) = 6

13 ≠ 6, this is incorrect.

4. For point (3, -2)

2(3) + 3(-2) = 6

0 ≠ 6, this is incorrect.

5. For point (3, 0)

2(3) + 3(0) = 6

6 = 6, this is correct.

6. For point (6, -2)

2(6) + 3(-2) = 6

6 = 6, this is correct.

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Complete question is;

A bee flies at 9 feet per second directly to a flower bed from its hive. The bee stays at the flowerbed for 15 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 18 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

Answer:

A) (d/9) + 900 + (d/6) = 1080

B) d = 648 ft

Step-by-step explanation:

A) We are told that A bee flies at 9 feet per second directly to a flower bed from its hive.

Time taken is given as;

t = distance/speed

If distance is d from the hive to the flower bird.

Then, t1 = d/9

The bee stays at the flowerbed for 15 minutes. Thus, time spent at the flowerbird in seconds is; t2 = 15 × 60 = 900 seconds.

We are told that the bee flew directly back to the hive at 6 feet per second.

Thus,time is;

t3 = d/6

Since total time spent away from hive is 18 minutes, then converting to seconds, we have; t = 18 × 60 = 1080 s

Thus;

(d/9) + 900 + (d/6) = 1080

B) Since we have derived;

(d/9) + 900 + (d/6) = 1080

Then we can find d.

Multiply through by 18 to get;

2d + (900 × 18) + 3d = 1080 × 18

2d + 16200 + 3d = 19440

5d = 19440 - 16200

5d = 3240

d = 3240/5

d = 648 ft

Answer:

In what time frame. It asks how often she does both but does that mean in a week or another span of time?

Step-by-step explanation:

Answer:

t = 4

Step-by-step explanation:

Anything divided by itself is 1

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

Answer:

2.85 × 10^6

Step-by-step explanation:

Answer:

2850000

Step-by-step explanation:

Answer 8x - 20

Step-by-step explanation:

6(2x - 3) - 2(2x + 1)

Distribute

6(2x) -6( 3) - 2(2x) -2( 1)

12x -18 -4x -2

Combine like terms

12x -4x    -18 -2

8x-20

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

Answer:

I can help

Step-by-step explanation:

I'm in honors classes

Answer:

2(4y - 3x)

Step-by-step explanation:

Answer:

Y=7.5x

Step-by-step explanation:

8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

Answer:

99 problems

Step-by-step explanation:

27 problems solved, x problems unsolved

27/x to 3/11

27/3 = 9

3/11(9/9)

27/99

There are 99 problems in Jennifer's homework.

x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

Two or more expressions with an Equal sign is called as Equation.

-2(x-4)=4

-2(2-4)=4

4=4

Hence, x=2 is the solution

26/x=13

Now x=2

26/2=13

13=13

Hence, x=2 is the solution

-3.8x=-7.4

Now x=2

-3.8×2=-7.4

-7.6=-7.4

x=2 is not a solution of -3.8×2=-7.4

4(x - 1) – 3(x - 2) = -8

4(2-1)-3(2-2)=-8

4=-8

x=2 is not a solution of -3.8×2=-7.4

Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

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Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.

Answer:

[tex]Ratio = \frac{3}{2}[/tex]

Step-by-step explanation:

See attachment for complete question.

We start by solving for the equation of the graph (The graph shows a linear equation)

Represent pencils with x and pen with y

From the graph, we have that:

[tex](x_1,y_1) = (6,4)[/tex]

[tex](x_2,y_2) = (12,8)[/tex]

Solve for slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 4}{12- 6}[/tex]

[tex]m = \frac{4}{6}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = \frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,4)[/tex]

[tex]y - 4 = \frac{2}{3}(x - 6)[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2}{3} * 6[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{2 * 6}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - \frac{12}{3}[/tex]

[tex]y - 4 = \frac{2}{3}x - 4[/tex]

Add 4 to both sides

[tex]y - 4 +4= \frac{2}{3}x - 4 + 4[/tex]

[tex]y= \frac{2}{3}x[/tex]

Now, to the question.

When pencils is 15 implies that

[tex]x = 15[/tex]

Solving for x, we have:

[tex]y= \frac{2}{3}x[/tex]

[tex]y= \frac{2}{3} * 15[/tex]

[tex]y= \frac{2* 15}{3}[/tex]

[tex]y= \frac{30}{3}[/tex]

[tex]y= 10[/tex]

i.e. Pen = 10

Ratio = x ; y

[tex]x : y = 15 : 10[/tex]

Convert to fraction

[tex]\frac{x}{y} = \frac{15}{10}[/tex]

Simplify

[tex]\frac{x}{y} = \frac{3}{2}[/tex]

Hence,

[tex]Ratio = \frac{3}{2}[/tex]

Answer:

3/2 :)

Step-by-step explanation:

Answer:

24t + 270 gallons

Step-by-step explanation:

Given that :

Addition rate 1 = 15 gallons per minute

Addition rate 2 = 9 gallons per minute

Total time spent adding water = half an hour = 30 minutes = 0.5 hour

Time spent adding water at faster rate = t

Time spent addition water at slower rate = (30 - t)

Total number of water added to the pool :

Amount of water added = addition rate * time

Hence,

Amount of water added at faster rate :

(15 gal / min) * t = 15t gallons

Amount added at slower rate :

(9 gal / min) * (30 - t) = (270 - 9t) gallons

Total amount of water added to the pool:

15t gallons + (270 - 9t)gallons

15t + 270 + 9t

24t + 270 gallons

Answer:

A

Step-by-step explanation:

Answer:

C. 190.77

Step-by-step explanation: edge 2022

The required, total cost of the purchase is $190.77. Option C is correct.

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.

Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56

Total cost of purchase = $175 + $13.56 = $188.56

If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).

The interest charged on the outstanding balance after 30 days will be:

Interest = $188.56 x 1.17% = $2.20

Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,

Total cost = $188.56 + $2.20 = $190.76

Therefore, the total cost of the purchase is $190.77.

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Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

Answer:

1 is the coefficient of the last term in the binomial expansion

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

[tex]Length: 10\ in[/tex]

[tex]Width: 8\ in[/tex]

Required

Determine the possible dimensions of Rectangle B

The question has missing options; however, the question can still be solved.

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

[tex]Length: 15 in[/tex]

[tex]Width: 12 in[/tex]

Divide the corresponding lengths of B by A to get the enlargement ratio

[tex]Ratio = \frac{B}{A}[/tex]

For length:

[tex]Ratio = \frac{15}{10}[/tex]

[tex]Ratio = 1.5[/tex]

For width

[tex]Ratio = \frac{12}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

[tex]Length: 20\ in[/tex]

[tex]Width: 10\ in[/tex]

Calculate Ratios

[tex]Ratio = \frac{B}{A}[/tex]

For length:

[tex]Ratio = \frac{20}{10}[/tex]

[tex]Ratio = 2[/tex]

For width

[tex]Ratio = \frac{10}{8}[/tex]

[tex]Ratio = 1.25[/tex]

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy