five and one third plus five ninths

Answer:

I think C

Step-by-step explanation:

It has a whole number as numerator and denominator so it is rational and it is a real number, but it is not an integer because it is a fraction.

Answer:

Rational, and Real numbers.

Step-by-step explanation:

There's a certain overlapping sequence of categorizing:

Whole #, Integers, Rational, Real.

Fractions and decimals belong in Rational, so you could say they are real as well.

Hope this helps! (sorry about it being brief)

Answer:

B. new elements are created when uranium breaks apart

Explanation:

Fission is the breaking apart of an atom.

The other choices are fusion, where atoms fuse together.

Answer:

46°

Step-by-step explanation:

Δ1 = 180 - 130 = 50°

Δ2 = 180 - 50 - 84 = 46°

Answer:

\(\large\boxed{\bf\:\angle \: 2 = 46^{\circ}}\)

Step-by-step explanation:

In the given triangle,

∠1 + ∠2 + 84° = 180° (angle sum property of triangles states that all the 3 angles in a triangle will sum up to 180°)

Here,

∠1

= 180° - 130° (a linear pair makes 180°)

= 50°

So, acoording to the angle sum property of triangles,

∠1 + ∠2 + 84° = 180°

∠2 + 50° + 84° = 180°

∠2 = 180° - (50° + 84°)

∠2 = 180° - 134°

∠2 = 46°

_________

Enjoy the rest of your day!

Canon has 12 jigsaw puzzles in total.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let us say puzzles solved by :

Arthur be x

Conan be y

Doyle be z

also,

Here, it is given that :

Arthur has completed four times as many jigsaw puzzles as Conan which means :

x = 4y.......(1)

Doyle has completed three times as many jigsaw puzzles as Conan which  means :

z = 3y.....(2)

Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :

z = x-12....(3)

now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :

3y = x-12

3y = 4y-12

4y-3y = 12

y = 12

Therefore, Canon has 12 jigsaw puzzles in total.

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Answer:

59,60,61

Step-by-step explanation:

the sum of all the angles in a triangle is 180.

consecutive intergers come right after one another.

x+(x+1)+(x+2)=180

3x+3=180

3x=177

x=59

x+1=60

x+2=61

Answer:

252 minutes

Step-by-step explanation:

All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.

He started the first house at 9:00 AM and the sixth house at 10:00 AM.

Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.

1 hour = 60 minutes

60 minutes per 5 lawns = 60/5 minutes/lawn

which can be reduced to

12 minutes per lawn

His unit rate is 12 minutes/lawn.

Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.

12 minutes/lawn * 21 lawns = 252 minutes

Answer: 252 minutes

The dairy farmer should use 400 pounds of the 75% protein supplement and 800 pounds of the 30% protein ration to make 1200 pounds of a high-grade 45% protein ration.

To determine how many pounds of each protein supplement the dairy farmer should use, we can set up a system of equations based on the given information.

Let's denote the following:

x = pounds of the 75% protein supplement

y = pounds of the 30% protein ration

The total weight of the mixture is 1200 pounds, so we have the equation:

x + y = 1200

The protein content in the mixture should be 45% of the total weight, so we have the equation:

0.75x + 0.30y = 0.45 * 1200

Now we can solve this system of equations.

First, let's rewrite the second equation in decimal form:

0.75x + 0.30y = 540

To make it easier to work with, we can eliminate the decimals by multiplying both sides of the equation by 100:

75x + 30y = 54000

Now we have a system of equations:

x + y = 1200

75x + 30y = 54000

We can solve this system using any appropriate method, such as substitution or elimination. In this case, let's use the substitution method:

Solve the first equation for x:

x = 1200 - y

Substitute the value of x into the second equation:

75(1200 - y) + 30y = 54000

Simplify and solve for y:

90000 - 75y + 30y = 54000

-45y = -36000

y = 800

Now we can substitute the value of y back into the first equation to find x:

x + 800 = 1200

x = 1200 - 800

x = 400

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Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

Step-by-step explanation:

El recíproco de un número es el inverso multiplicativo del número, lo que significa que el producto de un número y su recíproco es igual a 1.

Para encontrar el recíproco de 43/5, primero debemos escribir el número como una fracción. Luego, intercambiamos el numerador y el denominador para obtener el recíproco.

El recíproco de 43/5 es entonces:

Recíproco de 43/5 = 5/43

Esto se puede verificar multiplicando 43/5 y 5/43:

(43/5) * (5/43) = 1

Por lo tanto, el recíproco de 43/5 es 5/43.

Answer:

\(\frac{5}{43}\)

Step-by-step explanation:

Reciprocal just means turn the fraction upside down.

The perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.

To know the perimeter of a plane figure, we add up all the length of its sides or boundaries together. That is the sum total of the length of a plane figure is called its perimeter.

The plene figure has for sides who two of it is 5 inches each and the other two is 3 inches each.

thus we calculate for the perimeter as follows:

perimeter of the plane figure = 5 in + 5 in + 3 in + 3 in

perimeter of the plane figure = 16 inches

Therefore, the perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.

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Answer:

Step-by-step explanation:7.5x10^1

The population of the United States is 7.5 times greater than the population of California.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It might also be called standard index form or scientific form.

Given that California has approximately 4 x 10⁷ people living in it. The population of the entire United States is approximately 3 x 10⁸ people.

The United States how many times greater than California will be calculated as:-

Number of times = 3 x 10⁸ /  4 x 10⁷

Number of times = 0.75 x 10 = 7.5

Therefore,  the population of the United States is 7.5 times greater than the population of California.

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Answer:

c is the anser

Step-by-step explanation:

Work Shown:

The set {A,B,C,1,2} has five items. There are four slots to fill.

So we have 5^4 = 5*5*5*5 = 625 different possible passwords where the characters can be repeated.

625 four-character passwords can be formed.

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

Each character of the password is independent of previous characters, which means that the fundamental counting principle is used to solve this question.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

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

Thus, the number of passwords is:

\(5 \times 5 \times 5 \times 5 = 5^4 = 625\)

625 four-character passwords can be formed.

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Answer:

Due to lack of parenthesis, the function can be written one of three ways:

g(x) = (x+1)/(x-2)

g(x) = (x +1)/x - 2

g(x) = x + 1/x - 2

It is also unclear if you are doing function composition, or multiplication;

I am also assuming you are plugging -3 into function h;

so then h(-3) = 4 - -3 = 4 + +3 = 7

In the first case you get 8/5

in the second case you get 8/7 - 2 = 8/7 - 14/7 = -6/7

in the third case you get 7 + 1/7 - 2 =  5 and 1/7 = 36/7

x = 3, y = -4

The given system of linear equations is:

The graph representing the equations is plotted below:

The point where both lines intersect is the solution to the system of equations.

The lines intersect at the point (3, -4), therefore, (3, -4) is the solution to the system of equations

The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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We use the formula of the area of a trapezoid

where A is the area, B and b are bases of the trapezoid and h the height

we can replace values like area, and bases

simplify

multiply on both sides to remove denominator 2

and divide between 17 to find h

the height of trapezoid is 6cm

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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Answer:

x = 0 , x = 2

Step-by-step explanation:

3x² = 6x ( subtract 6x from both sides )

3x² - 6x = 0 ← factor out 3x from each term

3x(x - 2) = 0

equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 2 = 0 ( add 2 to both sides )

x = 2

solutions are x = 0 , x = 2

Diane plans to arrive at 7:30 A.M.

Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.

If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.

Therefore, Diane plans to arrive at 7:30 A.M.

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Answer:

240.52 m square is your answer

Answer:

B

Step-by-step explanation:

area of square=20×21=420 m²

diagonal=√(20²+21²)=√(400+441)=√841=29

radius=29/2

area of circle=π×(29/2)²=841/4  π≈660.52 m²

area of shaded region=660.52-420=240.52 m²

Answer:

-96

Step-by-step explanation:

m = -4

n = -6

(m³ + 4) - n² =

= [(-4)³ + 4] - (-6)²

= -64 + 4 - 36

= -60 - 36

= -96

Answer:

Tenths

Hope this helps :)

Answer:

tenths

Step-by-step explanation:

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

\( \cos4( \theta)=Re(\cos4( \theta)+i\sin4( \theta)) \\=Re(\cos ( \theta)+i\sin ( \theta))^4 \\ =Re(cos^4( \theta)+4cos^3( \theta)isin( \theta)+6cos^2( \theta)i^2sin^2( \theta)+4cosi^3( \theta)sin^3( \theta)+i^4sin^4( \theta)) \\cos( 4\theta) =cos^4( \theta)-6cos^2( \theta)sin^2( \theta)+sin^4( \theta) \\ =(1-\sin^2( \theta))^2-6(1-\sin^2( \theta))\sin^2( \theta)+sin^4( \theta) \\ = 1-2\sin^2( \theta)+\sin^4( \theta)-6\sin^2( \theta)+6\sin^4( \theta)+\sin^4( \theta) \\ =8\sin^4( \theta)-8\sin^2( \theta)+1\)

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

  We calculated from the graph that 10542719 people expected to have type O blood.

Generally, human body contains any of these four common types of blood. These are type A, B, O and AB.

If we want to estimate our population containing different blood group. we need to carry out survey study to colect data.

Given, Estimated population in 2010 =21515754

the population in percentage who may have O type blood =49%

Actual number of people who expected to have O type blood =

(21515754×49)/100

=10542719

hence, total 10542719 people expected to have O type blood.

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There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer:

24.99

Step-by-step explanation:

If the area of the quarter circle is 38.465, then the equation to find this would be

3.14*r^2 / 4 = 38.465. we solve for r, the radius, and get two solutions. 7 and -7. Obviously the length of the radius can't be -7, so we know the radius is 7.

Now we must solve for the perimeter. The perimeter is equal to 2r + (2*3.14*r)/4

Plugging 7 in as the radius, r, we get 24.99 as our final answer.