the ages of three friends are represented by 3 consecutive odd integers. the sum of their ages is 63. if the youngest of the three is represented by x , what equation could be used to find x?

Answer:

x = 22

Step-by-step explanation:

(88 - x)° = 3x°

-x - 3x = -88

-4x = -88

[tex]x = \frac{-88}{-4} \\\\ x = 22[/tex]

Answer: y = 3x +1

Step-by-step explanation:

y =mx +b

m(slope) = 3

b(y-int) = ?

y = 3x+b

substitute in values

4 = 3(1) +b

4 = 3+b

b = 1

y= 3x+1

Answer: The volume of the circular swimming pool to the nearest cubic meter is 151 [tex]m^{3}[/tex].

Step-by-step explanation: According to the question the swimming pool is in the shape of a cylinder, and the top is circular having a radius and depth.
To calculate the volume of a cylinder(pool) we will use the formula for the volume of a cylinder:
The radius of the cylinder = 4 m
height h=3
The volume of the cylinder (V) = [tex]\pi r^{2} h[/tex]
=[tex]\pi (4)^{2} *3[/tex]
Plugging π =3.142
= 3.14*16*3
=150.72 [tex]m^{3}[/tex]
rounding off to the nearest cubic meter
=151 [tex]m^{3}[/tex]
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Answer:

The probability that you draw two balls that are both black is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

To find probability, take the number of desirable outcomes over the total number of possible outcomes.

In this case, the black balls are desirable. There are four of them.

this means the numerator of the first fraction is 4. The denominator is the total possible outcomes or in this case the total number of black and white balls. This number is 9. The first probability fraction is [tex]\frac{4}{9}[/tex]

Lets say that the first one was black. Now we need to find the probability of drawing another one. Now there are black balls left in the bag. This means that the number of desirable outcomes is 3. There are also 8 balls total. This means the number of total possible outcomes is 8. The second probability is [tex]\frac{3}{8}[/tex]

To get the total probability you multiply both of the individual probabilities together.

[tex]\frac{4}{9} *\frac{3}{8} =\frac{1}{6}[/tex]

Answer:

7.5

Step-by-step explanation:

750 is the volume, so divided by then is 75, then divided by 10 again is 7.5

Hope this helps!

Answer:

7.5

Step-by-step explanation:

10x10x7.5=750

Answer:

42

81

91

Step-by-step explanation:

m = mystery

f = fantasy

[tex]\frac{m}{f}[/tex] = [tex]\frac{m}{f}[/tex]

Compare the ratio with the actual numbers.  Solve for the missing number

[tex]\frac{7}{9}[/tex] = [tex]\frac{m}{54}[/tex]  you need to multiply 9 by 6 to get 54 so multiply 7 x 6 to get 42.

[tex]\frac{7}{9}[/tex] = [tex]\frac{63}{f}[/tex]  Multiply 7 x 9 to get 63,so multiply 9 by 9 to get 81.

[tex]\frac{7}{9}[/tex] = [tex]\frac{m}{117}[/tex]  9 x 13 is 117, so multiply 7 by 13 to get 91.

The summer camp registration decreased in 2021 by 5.26 percent.

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Answer:

A

Step-by-step explanation:

Point A

:] its ok we all dum sometimes lol

Answer:

see my photo. hope it can help

100 ml of the first solution and 200 ml of the second are required.

Answer:

y=4/3x-3

Step-by-step explanation:

(y2-y1)/ (x2-x1)

The most appropriate choice for tangent to a curve will be given by- 2x + 25y = 10 is the required equation of tangent.

What is tangent to a curve?
In geometry, a tangent line is a straight line that most closely resembles (or "clings to") a curve at a particular point. It could be thought of as the limiting role of straight lines that pass through the specified point and a nearby curve point as the second point gets closer to the first. If two curves share the same tangent at a given point, they are said to be tangent. Similar definitions apply to the tangent plane to an exterior at a point and two surfaces that are tangent at a point.

Equation of  tangent to a curve at a point [tex](x_1, y_1)[/tex]  is given by

[tex]y-y_1 = \frac{dy}{dx}|_{(x_1, y_1)}(x - x_1)[/tex]

Here,
f(x) = [tex]\frac{2}{x}[/tex]
f'(x) = [tex]\frac{d}{dx} (\frac{2}{x})[/tex]

     = [tex]2(-1)x^{-1-1}\\-2x^{-2}[/tex]

[tex]f'(x)|_{(5, 0)} = -\frac{2}{5^2}[/tex]

               [tex]= -\frac{2}{25}[/tex]

Equation of tangent

[tex]y - 0 = -\frac{2}{25}(x - 5)\\\\25y = -2x +10\\2x + 25y = 10[/tex]

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The domain of the function is 1 ≤ x < 2.

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates).

We have f : [tex]\frac{1}{\sqrt{x-1} } + \frac{1}{\sqrt{2-x} }[/tex]

[tex]\sqrt{x-1}[/tex] ≥ 0

x- 1 ≥ 0

x ≥ 1

Similarly , [tex]\sqrt{2-x}[/tex] > 0

2 - x > 0

2 > x

So our domain is 1 ≤ x < 2.

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Answer: 130 degrees

Step-by-step explanation:

The interior angle where line c intersects line b is equal to 50 (given). therefore, its supplementary angle is 130 degrees. the opposite angle is therefore equal to 130 degrees, which makes angel x equal to 130 degrees.

https://www.mathplanet.com/education/pre-algebra/introducing-geometry/angles-and-parallel-lines

The answer is 14metres 4m long 3m wide 2 x (4+3) = 14

The slope of the line that passes through the points (10,10) and (5,10) is 0

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1 ( 10,10 )

Point 2 ( 5,10 )

To determine the slope, plug these coordinates into the slope formula and simplify.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 10 - 10 )/( 5 - 10 )

Slope m = ( 0 )/( 5 - 10 )

Slope m = ( 0 )/( -5 )

Slope m = 0

Therefore, the slope of the line is 0.

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The new expression by using distributive property is: 209.25

What is distributive property?

In mathematics, the distributive property tell the solution method for the expression who are in the form of a(b + c). In this, first add the expression which are in the parenthesis and later multiply it.

According to the question, the given expression is as follows:

70[2.50+(−0.60)]+25[3.75+(−0.70)]

Using distributive property, whose list contains parenthesis, exponents, multiplication/division, addition/subtraction. This is the list in which the given expression need to simplify.

First parenthesis calculation,

2.5 + - 0.6 = 1.9 and 3.75 + - 0.7 = 3.05

Now, substitute the values:

70(1.9) + 25(3.05)

Multiply it: 133 + 76.25;

Add it: 209.25

Hence, the new expression by using distributive property is: 209.25

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When we are factoring a quadratic function, we are trying to reverse the following equation

Now, comparing the right-hand side of the above equation and the one given in the problem we see that

This means the question simplifies to "what are the two numbers that if I add them I get -2 and if I multiply them I get -15? "

Well, If we set a = -5 and b = 3, then

Hence, our expression factors to

Answer: He drove for 2 hours and 30 minutes. Hope you do great! :)

Answer:2.5 hours

Step-by-step explanation:

A possible solution of the system of inequalities is 5 dimes and, 8 nickels

From the question, the given parameters are:

Number of coins = Not less than 12

Worth = At most $0.95

Represent dime with x and nickels with y

So, we have the following inequalities

x + y >= 12

0.1x +0.05y <= 0.95

Next, we plot the graph of the inequalities (see attachment)

From the graph, we have a possible solution to be (5, 8)

This is so because this point is in the shaded region

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In linear equation, $56.65are  the value of the coins in dollars .

What is a linear equation example?

We need to find how many of the 206 coins are nickels, dimes, or quarters.

We know the quantities of each coin in relation to one another.

From that relationship we can set up a ratio.

Let Q = number of quarters

Let D = number of dimes

Let N = number of nickels

Then Q:D:N = 1:1:2

this tells us if the girl had 4 coins, she would have 1 quarter, 1 dime, and 2 nickels.

We want to keep this same ratio but we want the total number of coins to be 206.

If we divide 206 by 4, we get the number that we use to multiply our ratio.

206/4 = 51.5

So she has 51.5 quarters, 51.5 dimes, and 103 nickels.

the value of the coins in dollars = 51.5(0.10) + 51.5(0.05) + 103(.25) = $56.65

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Answer: The answer is 76

Step-by-step explanation:

Answer:

8?

Step-by-step explanation:

so if 25 hours gets her to 395 dollars that you divide 395 by 25 to get how much money she makes per hour.  

you get 15.8 then you have to see how many hours she has to work to make 126.40 which is 8 cuz 15.8 * 8 = 126.4

I THINK??

Answer:

9 students

Explanation:

Every 8th person that entered the cinema received a free ticket.

The number of students who entered in the first hour = 76.

The first person given a ticket was the 8th person.

To calculate the number of persons who received a free ticket, we can view this problem as an arithmetic sequence in which:

• The first term = 8

• The last term = 76.

• The common difference (every 8th person) = 8.

Using the formula for the last term of an arithmetic sequence, we have:

Our goal is to find n, the number of students.

Since the number of students that entered in the first hour is not more than 76, we have that:

9 students received a free ticket.

The meand and variance are 13.75 cm and 17.52 respectively.

Each possible outcome is equally likely when there is a uniform probability.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

M = ( a + b ) / 2

The variance of the uniform distribution is given by:

V = ( b - a )² / 12

Uniform distribution on the interval ( 6.5, 21 )

Therefore, a = 6.5 and b = 21

Hence, the mean will be:

M = ( 6.5 + 21 )/ 2

M = 27.5 / 2

M = 13.75

The mean of depth is 13.75 cm.

The variance will be:

V = ( b - a )² / 12

V = ( 21 - 6.5 )² / 12

V = 210.25 / 12

V = 17.52

The variance of depth is of 17.52 cm².

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Answer:  square root of 104

Step-by-step explanation:

The length of the missing side in the right triangle is approximately √104.

Given is a right triangle with one leg labeled 11 and hypotenuse labeled 15.

We need to find length of the missing side.

To determine the length of the missing side in the right triangle, we can use the Pythagorean theorem.

It states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the missing side as "x".

According to the given information:

One leg (one of the shorter sides) is labeled as 11.

The hypotenuse (the longest side) is labeled as 15.

Using the Pythagorean theorem, we can set up the equation:

11² + x² = 15²

Simplifying this equation:

121 + x² = 225

Subtracting 121 from both sides:

x² = 225 - 121

x² = 104

To find the value of "x," we can take the square root of both sides of the equation:

x = √104

Therefore, the length of the missing side in the right triangle is approximately √104.

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Answer:

The sum of 3 and the product of 4 times 12.

Step-by-step explanation:

The equal sign would mean the words "the sum", which also corresponds with "3+". The 4 x 12 would be referred to by "the product" and "times".

Answer:

about 14, (its not a whole number but its the closest i could get)

Step-by-step explanation:

Answer:

14.833333333

Step-by-step explanation:

I'm assuming you want a rounded answer (14.83), but if you didn't it's 14.83 into perpetuity (meaning that the 3's don't end!)

Hopefully, I helped!

Answer:

-5

Step-by-step explanation:

m = (11 - 6) / (13 - 14) = 5/(-1) = -5

Answer:

-5

Step-by-step explanation:

1-6/15-14=-5/1=-5