the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age? ​

When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.

Given that r is less than 5, let's substitute r = 4 into the expression:

[3(4) - 15]

= [12 - 15]

= -3

Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.

It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.

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=(D-64)2

We move all terms to the left:

-((D-64)2)=0

We calculate terms in parentheses: -((D-64)2), so:

(D-64)2

We multiply parentheses

2D-128

Back to the equation:

-(2D-128)

We get rid of parentheses

-2D+128=0

We move all terms containing D to the left, all other terms to the right

-2D=-128

D=-128/-2

D=+64

Answer:

Step-by-step explanation:

480 miles/5 hours=x miles/8 hours

x=480*8/5

x=768 miles(distance)

480/5=96 mph(speed)

Answer:

Se pueden hacer 5040 permutaciones con la palabra COLUMNA.

Explanation:

La palabara COLUMNA posee 7 letras, por lo que debemos hacer permutación sin repetición.

La formula es:

P_^{n}: n!

Donde n son todos los elementos.

The smaller number is 6 .

The larger number is 22

Let's let x be the smaller number and y be the larger number.

From the problem, we know that one number is eight less than five times the other, so we can write:

y = 5x - 8

We also know that the sum of the two numbers is 28, so we can write:

x + y = 28

Now we have two equations in two variables. We can solve for one of the variables in terms of the other, and substitute that expression into the other equation to eliminate one variable.

Let's solve the first equation for x

x = (y + 8)/5

Now we can substitute this expression for x into the second equation:

(y + 8)/5 + y = 28

Multiplying both sides by 5 to eliminate the fraction, we get:

y + 8 + 5y = 140

Combining like terms, we get:

6y + 8 = 140

Subtracting 8 from both sides, we get:

6y = 132

Dividing both sides by 6, we get:

y = 22

Now we can use the equation y = 5x - 8 to solve for x:

22 = 5x - 8

Adding 8 to both sides, we get:

30 = 5x

Dividing both sides by 5, we get:

x = 6

Therefore, the smaller number is 6 and the larger number is 22.

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The equation is formed and solved below

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also investigates Diophantine equations with integer coefficients and solutions. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

Let the price of washer = $x

The cost of dryer = $x+85

The equation is formed as

x + x + 85 = 765

or, 2x = 765 - 85

or, x = 680/2 = 340

Price of dryer = $(340+85) = $425

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This problem is related to the linear equation and the required cost of the dryer is $425.

What is a linear equation?

If a variable's maximum power is always 1, an equation is said to be a linear equation. As a one-degree equation, it also goes by that name.

Let a washer costs be \(w\) and a dryer costs be \(d\).

Since the total cost of a washer and a dryer is $765, it follows:

\(w+d=765\)                ... (1)

Further, it is given that the washer costs $85 less than the dryer, it means that:

\(w=d-85\)                 ... (2)

Using the two linear equations (1) and (2), it follows:

\(d-85+d=765\\2d-85=765\\2d=765+85\\2d=850\\d=\frac{850}{2}=425\)

Therefore, the cost of a dryer is $425.

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A purchaser of a single ticket can anticipate losing, on average, $43.15.

The likelihood of winning each prize multiplied by the prize's worth, then adding up all the prizes, can be used to determine the estimated earnings for a single-ticket purchaser.

The big prize has a 1/10600 chance of being won, and it is worth $50000. Hence, the following are the anticipated profits from the main prize:

\(\dfrac{1}{10600} \times $50000 = $4.72\)

The odds of winning one of the three second-place prizes, each worth $8000, are 3/10600. The following is the anticipated profits from the second prize:

\(\dfrac{3}{10600} \times $8000 = $2.13\)

Finally, the price of the ticket itself is the projected cost of the ticket:

$50

Consequently, the difference between the expected value of the prizes and the ticket's price can be used to compute the expected wins for a single ticket purchaser:

$4.72 + $2.13 - $50 = -$43.15

This indicates that a purchaser of a single ticket can anticipate losing, on average, $43.15.

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Answer: 3 11/15  please mark brainliest If I helped you.

the question is kayar and 12 by 5 miles on Monday and 21 by three miles on Tuesday what is the total distance in miles kayuren during those two days first phone on Monday how much run that was 12 by 5 miles on Tuesday Shirin to 1 by 3 minus now this whole part and fractional part are written separately so this can be converted into a mixed fraction like when a number is of the form of p by see that is one whole number and fraction then it is written as a + b by c so we can write Monday that was 12 by 5 miles that is

12 by 1 + 2 by 5 that will be 5 will be LCM of 5 + 2 will be 7 by 5 MI and Tuesday it will be 21 by 3 that is 2 + 1 by 3 3 will be the LCM of 3 and 22 will be 6 plus one that is 7 by 3 minus in question is asked that what was the total distance kayar and thus during today's so Monday plus Tuesday will be the total total 27 by 5 + 7 by 3 that will be equal to LCM will be 15 this will be X 307 into 3 + 7 and 25 that

is 21 + 45 upon 15 that will be equal to 56 upon 15 Now since we have to give answer in mixed fraction in whole number and fraction this a bi bi can be divided into a whole number and fraction part when divided by be the remainder is remainder is written here b is written here and question is written here so 56 by 15 can be written as 15 and 23 is 45 three years question remainder will be 11:00 that is 56 - 45 and below will be the denominator will be 15 so this is our answer and the correct

Answer:

n = -24/7

Step-by-step explanation:

3 -7n = 27

-7n = 24         Subtract 3 from both sides

n = -24/7        Divided by -7 both sides

So, the answer is n = -24/7

Answer:

Below

Step-by-step explanation:

Subtract 3 from both sides of the equation THEN divide both sides of the equation by  - 7

add 12 with 16 by 20 it gives you 48 cubic inches

12 +16+20=48 cubic inches

Problem 1

Answer: C) No solution

---------------------------

Explanation:

We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1

So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.

======================================================

Problem 2

Answer: C) Infinitely many solutions

---------------------------

Explanation:

The two equations are equivalent. You can prove as such by isolating 2y in the first equation.

5x = 8-2y

5x+2y = 8

2y = 8-5x

2y = -5x+8

-5x+8 = 2y

This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.

======================================================

Problem 3

Answer: Choice A) \(-6 < y \le 3\)

---------------------------

Explanation:

The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.

The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range

The other part is \(y \le 3\) since y = 3 is the when the highest point occurs.

So writing \(-6 < y \le 3\) describes all possible y values of each (x,y) solution in the shaded region.

Answer:

I think A is the right answer

Answer:

Step-by-step explanation:

A hands-on experience is the only modality that would give visitors a complete understanding of the plight of modern enslaved people.

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer:

A. They are multiples of 5

Step-by-step explanation:

10 times 2= 20+5= 25

25 times 2= 50+5= 55

55 times 2= 110+5= 115

115 times 2= 230+5= 235

All of them are multiples of 5.

Hope that helped! :)

Answer:

1) x = 5

2) x = -10

3) x = 15

Step-by-step explanation:

4x + 8 = 7x - 7

8 = 3x - 7

3x = 15

x = 5

2(4 - x) - 12 = 36 + 2x

8 - 2x - 12 = 36 + 2x

-4 - 2x = 36 + 2x

-4 - 4x = 36

-4x = 40

x = -10

2/3x - 7 = 3

2/3x = 10

x = 10 * 3/2

x = 15

Answer:

\( \frac{2}{7} \: and \: \frac{1}{7} \)

Answer:

-3.8

Step-by-step explanation:

to find the average [mean] of a data set, you add all the numbers [-19] and then divide by the amount of numbers [5]

Answer:

-3.8

Step-by-step explanation:You add all of the number together and divde the sum by however man numbers. (-4)+(-7)+(-2)+(-4)+(-2)=-19.-19 divided by 5 equals -3.8

Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

Answer:

B) y - 2 = (-1/4)(x - 2)

Step-by-step explanation:

Start with the equation of the given line: y = 4x + 7.

Determine the slope of the given line, which is 4.

Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.

Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).

Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.

Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.

Simplify further: y = (-1/4)x + 5/2.

The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.

Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

---------------

a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

n-1= 180/4

n-1= 45

n=46

9514 1404 393

Answer:

   4.9% weekly

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the account balance that results from investing P at rate r compounded n times per year for t years.

Filling in the values for the two scenarios, we find ...

  A = 10,000(1 +0.04/365)^(365·3) ≈ 11,274.89

  A = 10,000(1 +0.049/52)^(52·3) = 11,582.74

The higher interest rate will earn Mr. Larson the most money in three years. (4.9% weekly)

\( \frac{6 - 2}{2 - x} = \frac{4}{7} \\ \)

\( \frac{4}{2 - x} = \frac{4}{7} \\ \)

Divided sides by 4

\( \frac{4}{2 - x} \div 4 = \frac{4}{7} \div 4 \\ \)

\(\frac{4}{2 - x} \times \frac{1}{4} = \frac{4}{7} \times \frac{1}{4} \\ \)

\( \frac{1}{2 - x} = \frac{1}{7} \\ \)

Multiply sides by 7

\(7 \times \frac{1}{2 - x} = 7 \times \frac{1}{7} \\ \)

\( \frac{7}{2 - x} = 1 \\ \)

Multiply sides by ( 2 - x )

\((2 - x) \times \frac{7}{2 - x} = 1 \times (2 - x) \\ \)

\(7 = 2 - x\)

Plus sides by x

\(7 + x = 2 - x + x\)

\(x + 7 = 2\)

Subtract sides -7

\(x + 7 - 7 = 2 - 7\)

\(x = - 5\)

_________________________________

Done ♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.

The point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.

The tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...

  m = y/x = -4/4 = -1

The tangent line's slope is the opposite reciprocal of this:

  m = -1/(-1) = 1

The point-slope form of the equation for the tangent line is ...

  y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)

  y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)

  x -y = 8 . . . . . . . . . . add 4-y to put in standard form

The equation of the tangent line is x - y = 8.

In the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...

  y -0 = -1(x -0)

  y = -x

The equation of the normal line is y = -x.

__

Additional comment

The normal line can also be written as x + y = 0.

The tangent line can also be written as y = x -8.

<95141404393>

Answer:

-3c

hope it helps

Step-by-step explanation:

Answer:

18.5

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

-3 + 83 is the same as 83 -3.

Answer:

1.6 meters.

Step-by-step explanation:

There are 100 centimeters in 1 meter. You are changing the centimeters to meters. In this case, divide by 100:

160/100 = 1.6

1.6 meters is your answer.

~

Answer:

1.6 meters.

Step-by-step explanation:

There are 100 centimeters in 1 meter. You are changing the centimeters to meters. In this case, divide by 100:

160/100 = 1.6

1.6 meters is your answer.

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Answer:

\(Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved\)