Since y generally
as x increases,
x and y have a

Answer:

15 years ago

Step-by-step explanation:

So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.

Answer:

The answer is 15 years

Step-by-step explanation:

Answer:

y - 6 = (5/6)(x - 4)

Step-by-step explanation:

Write an equation that represents the line through the points (-2,1) and (4,6)

As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.

Thus, the slope of the line connecting these two points is m = rise/run = 5/6.

Using (4, 6) as one point on the line, the equation of the line in point-slope form is

y - 6 = (5/6)(x - 4)

Answer: y - 6 = (5/6)(x - 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

8 divided by 2 = 4

Answer:

3 = 234

Step-by-step explanation:

156 ÷ 2 = 78 so then 156 + 78 = 234

Please mark Brainliest :)

Answer:

84 students

Step-by-step explanation:

Let x be the number of adults.

Then the number of children is 2x, according to the condition,

and the number of students is the rest (315-x-2x) = (315-3x).

The "money" equation (the revenue equation) is

   12x + 5x(2x) + 7x(315-3x) = 2282.

   12x + 10x + 7x315 - 21x = 2282

   x = 2282 - 7x315 = 77  is the number of adults.

 77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.

Answer:

BA=180°

C=70°

180° - 70° = 110°

Step-by-step explanation:

Answer:

1/2 gallon

Step-by-step explanation:

Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.

[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]

The fraction of a gallon of juice left over is:

[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]

Therefore, there is 1/2 of gallon of juice left over.

Answer:

1/4 < 5/4

Step-by-step explanation:

Since the numbers have the same denominator, we compare the numerators

1 < 5

so 1/4 < 5/4

Answer:

5/4

Step-by-step explanation:

Hello there!

Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.

5>1, so 5/4 is greater.

:)

The domain of the function y = 2√(x - 6) is all real numbers x such that x is greater than or equal to 6. This is represented as [6, ∞).

The domain of the function y = 2√(x - 6) is the set of all x-values for which the expression inside the square root is non-negative. This is because the square root function is only defined for non-negative values.

To find the domain, we set up the inequality:

x - 6 ≥ 0

Solving this inequality, we get

x ≥ 6

Therefore, the domain of the function y = 2√(x - 6) is [6, ∞). This includes all real numbers x starting from 6 to positive infinity.

Answers:

Step-by-step explanation:

There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:

An arithmetic sequence is produced by adding the same number to all the terms in the sequence.

EXAMPLE:

5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)

To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.

7 - 5 = 2

9 - 7 = 2

11 - 9 = 2

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

All results equal 2, so the sequence is arithmetic

From your list: The following sequences are arithmetic

A. 5, 10, 15, 20, 25 (common difference of 5)

The next type of sequence is the geometric sequence.

A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.

EXAMPLE:

100, 50, 25 (Each term is divided by 2)

To figure this out, we divide each term in the sequence by the next term.

100 / 50 = 2

50 / 25 = 2

All results are two, so this sequence can be confirmed to be geometric

From your list: The following sequences are geometric

C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)

D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)

There is one final type of sequence, which has no common difference, sum, quotient, or product.

EXAMPLE:

5, 6, 8, 9, 11, 12, 14, 15

This sequence has a pattern, the differences between the numbers are not common.

6 - 5 = 1

8 - 6 = 2

9 - 8 = 1

11 - 9 = 2

12 - 11 = 1

14 - 12 = 2

15 - 14 = 1

From your list: The following sequences are neither geometric nor arithmetic

B. 1, 1, 2, 3, 5, 8, 13 (No pattern)

I'n always happy to help :)

The correct sequences which are geometric sequence is,

C) 10, 5, 2.5, 1.25, 0.625,

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

All the sequences are,

A) 5, 10, 15, 20, 25

B) 1, 1, 2. 3, 5, 8, 13

C) 10, 5, 2.5, 1.25, 0.625,

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

Now, We know that;

Common ratio of the geometric sequences are same.

Hence, We get;

A) 5, 10, 15, 20, 25

Common ratio = 10/5 = 2

Common ratio = 15/10 = 3/2

Hence, It is not geometric sequence.

B) 1, 1, 2. 3, 5, 8, 13

Common ratio = 1/1 = 1

Common ratio = 2/1 = 2

Hence, It is not geometric sequence.

C) 10, 5, 2.5, 1.25, 0.625,

Common ratio = 5/10 = 1/2

Common ratio = 2.5/5 = 1/2

Hence, It is geometric sequence.

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

Common ratio = - 3/- 9 = 1/3

Common ratio = - 1/- 3 = 1/3

Hence, It is geometric sequence.

Thus, The correct sequences which are geometric sequence is,

C) 10, 5, 2.5, 1.25, 0.625,

D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

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Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

225 adult tickets were sold

To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.

The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.

The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.

Answer:

Probability (sum of the numbers ≥ 10) = 1/6

Step-by-step explanation:

Given:

Number of Dice = 2

Total number on dice = 1, 2, 3, 4, 5, 6

Find:

Probability (sum of the numbers ≥ 10)

Computation:

Total number of probability = 6 × 6

Total number of probability = 36

Sum of number greater than or equal to 10 are:

(4,6), (5,5), (5,6), (6,6), (6,4), (6,5)

Total number of outcomes = 6

Probability (sum of the numbers ≥ 10) = Total number of outcomes / Total number of probability

Probability (sum of the numbers ≥ 10) = 6 / 36

Probability (sum of the numbers ≥ 10) = 1/6

Answer:

Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.

Step-by-step explanation:

(4/1.66)=(x/125)

solve for X

X≈301.2

Step-by-step explanation:

Hello there!

Solve for x using the distruibutive property:

3(x+3)=12

3x+9=12

3x=3

x=1

:)

Answer:

x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

3x=3

x=1

Answer:

12

Step-by-step explanation:

sale price is (100-20)% of 15 = 80/100 * 15 = 12

Answer:

the area is 146 mi^2 and the perimeter is 54

Step-by-step explanation:

Answer

perimeter = 44 mi

area = 146 mi²

Step by step

perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi

perimeter = 44 mi

area = (2 × 10) + (7 × 18)

area = 20 + 126

area = 146 mi²

Answer: 2,3

Step-by-step explanation: I literally just did it

Answer:

160

Step-by-step explanation:

one of the triangle faces:

4 × 6 = 24cm^2

theres 4 triangle faces so 24 × 4 = 96 cm^2

then u have to add on the square face which is 8×8 =64cm^2

total:

64 + 96 = 160cm^2

Answer:

A your welcome

Step-by-step explanation:

Answer:

61 degrees

Step-by-step explanation:

a triangle measures 180 degrees

so your going to add 87 and 32 which gives us 119

since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees

Answer:

its 61 on edg

Step-by-step explanation:

i took the test and got a 93.2%

Answer:

11n+11y

Step-by-step explanation:

CLT

7n+4n+7y+4y

11n+11y

Answer:

it is 1/5

Step-by-step explanation:

the factor of the coordinates b(10,-15) and b'(2,-3) is five, but the figure gets smaller and is a reduction. therefore the scale factor is between 0-1, making it 1/5.

Answer:

-70003

Step-by-step explanation:

-70000 - 3 = - 70003

Answer:

n = 20

Step-by-step explanation:

Add 7n to both sides.

-5n + 7n - 12 = 2n - 12.

-7n + 7n + 28 = 28.

Now the equation is 2n - 12 = 28.

Add 12 to both sides to isolate the variable.

2n - 12 + 12 = 2n.

28 + 12 = 40.

Now the equation is 2n = 40. Divide both sides by 2.

n = 20.

Answer:

n=20

Step-by-step explanation:

-5n-12 =-7n+28

plus 7n to each side

2n - 12 = 28

add 12 to each side

2n=40

divde by 2 to isolate the n.

you get n=20

Answer:

2l + 2w. l+l+w+w. l+l+2w. 2(l+w)

Answer:

ML = 6

Step-by-step explanation:

If JM = 6, then ML = 6 because they are congruent.

Answer:

Step-by-step explanation:

Answer:

(7x² - 4x) unit²

Step-by-step explanation:

Area of rectangle = width × height

Width = 7x - 4

Height = x

Area = x ( 7x - 4)

Area = (7x² - 4x) unit²

Answer:

The volume of the cylinder is 25.12

Step-by-step explanation:

The width is the diameter in the circle of the base

radius = half of diameter

r = 2/2 = 1

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 8

π = 3.14

r = radius = 1

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (1)²) * 8

v = (3.14 * 1) * 8

v =3.14 * 8

v = 25.12

The volume of the cylinder is 25.12

Answer:

27

Step-by-step explanation:

Answer:

(B+b)xh/2 = formula for the area of the trapeze

so (9+3)x3/2= 12x3/2 = 6x3 = 18