five years ago, john was twice peters age. peter is now x years old and john is now y years old.

a) write an equation to illustrate the relation between John's age and Peter's age five years age.

b) this year, the total of their ages is 28 years old. use this information to determine John's age in three years.

c) use substitution to justify that your answers to part (a) are correct.

please help

The value of the variable expression is  -1/9.

According to the statement

we have to find the value of the given variable expression.

So, For this purpose, we know that the

A variable expression (or) an algebraic expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

According to the given information:

The variable expression is xyz

And the values of the X = - 5/8, y = - 2/5, Z= - 4/9.

The expression is xyz

Put the values in it then(- 5/8)(- 2/5)(- 4/9)

then the value become is -1/9.

The value of the expression becomes  -1/9.

So, The value of the variable expression is  -1/9.

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Answer:

90 hours.

Step-by-step explanation:

As we know there are 30 days in a month 3 hours a day there fore we say 30 x 3 = 90 :D

Answer:

120.22

Step-by-step explanation:

hope this helps

Answer:

15-(2×X)

Step-by-step explanation:

hope this is what you need

Answer:

Step-by-step explanation:

i can't see the expressions, but your answer will be 2x-15

The probability that a student living in a dormitory at ASU does not receive a coupon for a free sandwich is 0.6436.

The probability that a student lives in West Hall is 0.58 and the probability that a student lives in South Tower is 0.42. The probability that a student in West Hall receives a coupon is 0.26, and the probability that a student in South Tower receives a coupon is 0.19.

To find the probability that a student does not receive a coupon, we can use the complement rule: the probability of the event happening plus the probability of the event not happening is equal to 1. So, the probability of a student not receiving a coupon is 1 minus the probability of a student receiving a coupon.

Using a tree diagram, we can find the probability of a student receiving a coupon or not. Starting with the first branch of the tree, we have:

West Hall (0.58)
- Coupon (0.26)
- No Coupon (0.74)

South Tower (0.42)
- Coupon (0.19)
- No Coupon (0.81)

To find the probability of a student not receiving a coupon, we add the probability of no coupon from each branch of the tree and multiply by the probability of being in that branch. So, the probability of a student not receiving a coupon is:

(0.58 x 0.74) + (0.42 x 0.81) = 0.6436

Therefore, the probability that a student living in a dormitory at ASU does not receive a coupon for a free sandwich is 0.6436.
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The total number of possible outcomes in this situation is 3 x 4 x 2 = 24. This is because the spinner has three equal-sized sections, the die has 4 sides, and the coin has two sides (heads and tails).

Outcome is the result or consequence of an action, situation or event.

For the spinner, there are three possible outcomes (Walk, Run, and Stop). For the die, there are four possible outcomes (1, 2, 3, and 4). For the coin, there are two possible outcomes (heads or tails).

Therefore, the total number of possible outcomes is 3 x 4 x 2 = 24.

This means that there are 24 different combinations of outcomes that Kadeem can experience when spinning the spinner, rolling the die, and flipping the coin.

Let us imagine that Kadeem rolls a 4 on the die, lands on Walk on the spinner, and gets tails on the coin. In this scenario, the outcome would be 4-Walk-Tails.

In this scenario, the outcome would be 4-Walk-Tails.

This is just one of the 24 possible outcomes that Kadeem could experience.

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Answer:

1/6

Step-by-step explanation:

Given that the study was conducted using a sample of 513 bolts produced at a single facility when there is no bias resulting from data gathering procedures, broad inferences may then be drawn.

All bolts manufactured by that factory would be covered by the conclusion?

Due to the fact that bolts made in the same factory will follow the results of an analysis of a sample made up of bolts from the same factory. The finding or conclusion would therefore be applicable to all bolts produced in the same factory because the environment for experimentation and production is the same there while it may differ in other factories. Conclusions from the study may not apply to the bolts made by other companies as a result of this bias.

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Answer:

25

Step-by-step explanation:

ok so here's an equation i made:

3x +1 = 37. So i subtract 1 on both sides and get 36= 3x. x= 12, but im not done yet. multiply 12 by 2, and add one, t get 25.

I don't know either that's why I came here but there was no answer soooooooooooo

Answer:

the asnwer is 15

Step-by-step explanation:

firts add sevent in both sides

7x=105

Then divide by 7

105/7=x

x=15

Answer

x=15

Step-by-step explanation:

first step 7x=98+7 second step 7x=105 third step x=105/7 fourth step is your answer which is x=15

check it =

7x15-7=98

105-7=98

98=98

Step-by-step explanation:

= 1/2 ÷ 2/5

= 1/2 × 5/2

= 5/4

Answer:

\( \sf 1 \frac{1}{4} \)

Step-by-step explanation:

\( \sf = \frac{1}{2} \div \frac{2}{5} \)

\( \sf = \frac{1}{2} \times \frac{5}{2} \)

\( \sf = \frac{1 \times 5}{2 \times 2} \)

\( \sf = \frac{5}{4} \)

\( \sf = 1 \frac{1}{4} \)

Answer:

thanks for points sis

Step-by-step explanation:

The correct statements regarding the function are:

I and II only.

The functions models the value of the furniture after x years, showing exponential decrease. We have that:

Hence statements I and II are correct.

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Answer:

l and lll only

Step-by-step explanation:

just did it

whole numbers and coefficients that can be constants or variables. The exponents in a polynomial must be non-negative integers (whole numbers).

The polynomial terms can be added or subtracted, but the exponents of the variables must still be whole numbers.

For example, the following are polynomials:

1. 3x^2 + 5x - 2

2. 2y^3 + 4y^2 - 7y + 1

3. x^4 + 2x^3 - x^2 + 3x - 1

In these examples, the exponents are all whole numbers (2, 3, and 4), and the coefficients (the numbers multiplied by the variables) can be constants or variables themselves.

However, expressions like 2x^(1/2) or 3x^(-2) are not considered polynomials because the exponents in these cases are not whole numbers.

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The probability that they all have different birthdays is 0.903 or 90.3%.

1. Calculate the number of days in a year.

There are 365 days in a year.

2. Calculate the number of possible combinations for 3 people.

There are 365 x 365 x 365 = 4,738,625 possible combinations for 3 people.

3. Calculate the number of combinations where all 3 people have different birthdays.

There are 365 x 364 x 363 = 4,324,320 combinations where all 3 people have different birthdays.

4. Calculate the probability.

The probability that they all have different birthdays is 4,324,320 / 4,738,625 = 0.903 or 90.3%.

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Answer:

1

Step-by-step explanation:

Using the trigonometric identities

tan(90 - x) = cotx , cotx = \(\frac{1}{tanx}\)

Given

tan1tan2tan3....................... tan87tan88tan89

= tan1tan2tan3............... tan(90-3)tan(90-2)(tan90 - 1)

= tan1tan2tan3.............. cot3cot2cot1

= tan1cot1tan2cot2tan3cot3 ........................

= 1 × 1 × 1 ×....................... × 1

= 1

Answer:

A scalene triangle is one whose sides are all a different length. So there is no way you can find the length of b when you are only given the length of a and the perimeter.

Step-by-step explanation:

hopes it help :)

Answer:

13.73°

Step-by-step explanation:

For this question, you can set it up so you can cross multiply.

\(\frac{153}{100}\)°×\(\frac{132}{?}\)

To find the ? (the percent of change), simply multiply 100 and 132, then divide the result by 153.

You get around 86.27 when rounded to the nearest tenths.

However, this percent represents 132 within 153, so find the percent of change, simply subtract 86.27 from 100.

100-86.27= 13.73

Answer: \(3\)

Add

\(19/8+5/8=24/8\)

Divide

\(24/8=3\)

Answer:

3

Step-by-step explanation:

To add these fractions, find the LCD (least common denominator). Then divide by 8. You get 3.

So your answer will be 3. Hope this helps!

Answer:

x = 8

Step-by-step explanation:

The two sides equal each other

5x - 13 = x + 19  Subtract x from both sides

5x - x - 13 = x - x + 19

4x - 13 = 19  Add 13 to both sides

4x - 13 + 13 = 19 + 13

4x = 32  Divide both sides by 4

x = 8

Helping in the name of Jesus.

The blanks in this two-column proof should be filled as follows:

Statements                                             Reasons_______________

m∠1 = m∠3                                                Given

m∠CBA = m∠ABE + m∠CBD            Angle Addition Postulate  

m∠ABE = m∠3 + m∠2              Substitution Property of Equality          

m∠CBD = m∠3 + m∠2              Substitution Property of Equality

m∠ABE ≅ m∠CBD                    Transitive Property of Equality

In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.

This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.

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Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

Answer:

The value of X is 10 As the two triangles are similar X= 10

Answer:

i think it would be B or D

Step-by-step explanation:

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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Using given area and base length of a rectangle we got that the height of the given rectangle is 6.5 inches.

Rectangle is closed geometric figure that has four perpendicular sides with opposite sides equal.

The formula for the area of the rectangle :

Area of the rectangle = Length × Breadth

Given that the area of a rectangle is 45.5 square inches.

The base of the rectangle is given 7 inches

To find : Height of the rectangle

Let the base length is the length of the rectangle and height is the Breadth of the rectangle.

Then, Area of the rectangle = Length × Breadth

⇒ 45.5 = 7 × Height

⇒ 45.5 /7 = Height

⇒ 6.5 = Height  of the rectangle

Therefore, the height of the rectangle is 6.5 inches.

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Answer:

x =7

Step-by-step explanation:

3x - 9 + 12 - 6x = -18

Combine like terms

-3x +3 = -18

Subtract 3 from each side

-3x +3 -3 = -18 -3

-3x = -21

Divide each side by-3

-3x /-3 = -21 /-3

x =7

Answer:

\(x=7\)

Step-by-step explanation:

\(3x - 9 + 12 - 6x = -18\)

\(3x+ - 9 + 12+ - 6x = -18\)

\(3x+- 6x + - 9 + 12+ = -18\)

\(-3x+ 3= -18\)

\(-3x= -18-3\)

\(-3x= -21\)

\(3x=21\)

\(x=21/3\)

\(x=7\)

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.