what is the answer to 5 divided by 1/3

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

83 kids total

Step-by-step explanation:

There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?

girls = 54

boys = 54 - 25 = 29

54 + 29 = 83 kids total

kids that are on the playground are 83.

Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.

The total number of girls that are present is 54

The data given is that there are

25 fewer boys taht are4 present

The total number of boys will be

boys = 54 - 25 = 29

The number of kids that are present will be the total of boys and girls that are present.

Kids = boys + girls

54 + 29 = 83 kids total

The quantity of kids that are present in the playground is 83.

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Answer:

Step-by-step explanation:

f(x) = 3x + 5

g(x) = 4x² - 2

h(x) = x² - 3x + 1

f(x)+g(x)-h(x) means subtract h(x) from the sum of f(x) and h(x)

f(x)+g(x)-h(x) = 3x + 5 +( 4x² - 2) - (x² - 3x + 1)

Remove the brackets

That's

f(x)+g(x)-h(x) = 3x + 5 + 4x² - 2 - x² + 3x - 1

Group like terms

We have

f(x)+g(x)-h(x) = 4x² - x² + 3x + 3x + 5 - 2 - 1

Simplify

We have the final answer as

Hope this helps you

Hope this helps you

Answer:

PRQ/3

Step-by-step explanation:

it is done by adding the first two

the perpendicular or opposite side is approximately 10.42 units long.

How to solve the triangle?

In a right triangle, the side opposite the 90-degree angle is called the hypotenuse, and the side opposite the 15-degree angle is called the opposite side or perpendicular. The third side, adjacent to the 15-degree angle and the right angle, is called the adjacent side.

Using trigonometric functions, we can relate the angles and sides of a right triangle. In this case, we can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side:

tan(15) = opposite/adjacent

We are given the hypotenuse, which is the hypotenuse, and we can use the Pythagorean theorem to find the adjacent side:

adjacent = sqrt(hypotenuse² - opposite²)

Substituting the value of the hypotenuse and rearranging the above equation we get:

opposite = √(hypotenuse² / (1 + tan(15)²))

Plugging in the values, we get:

opposite = √(12² / (1 + tan(15)²))

= √(144 / (1 + 0.2679))

= ²(108.5)

= 10.42

Therefore, the perpendicular or opposite side is approximately 10.42 units long.

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2 x + 4 y = 1 has the simultaneous equation \(x=\frac{1-4 y}{2}\) .Eliminate a variable by using the elimination procedure.

for x, solve, \(2 x+4 y=1 \quad: \quad x=\frac{1-4 y}{2}\)

2 x + 4 y=1

4 y in the correct direction

2 x = 1 - 4 y

multiply both sides by two.

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

Simplify

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

You can find answers to both unknowns in two separate equations that have the same two unknowns in each. The three most popular approaches to solving are addition/subtraction, substitution, and graphing. simultaneous problems Equations: Elimination, Substitution, Graphical, and Matrix Methods | Vivax Solutions.

Steps for Solving Multiple Equations at Once Using the Elimination Method. Selecting a variable to remove is step one. Find the LCM of the variable's coefficients in step two. Step 3: Multiply the equations' two sides to create the coefficient of the variable you want to remove from the LCM.

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Answer:

1,2,3,7

a function can only have one y for every x

the first 3 have multiple y values for a single x value as well as the seventh one has 2 y values for that one x value

(first 3 on top not functions, 3rd one on the bottom also not a function)

Step-by-step explanation:

The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24

Answer:

-18/-9

=2

-8/-4

=2

Step-by-step explanation:

Hope it works out :)))

A. The value of the standardized test statistic is -2.391.

B. The rejection region for the standardized test statistic is t <-2.160.

C. The decision for the hypothesis test is to reject the null hypothesis.

Employing a t-distribution table or calculator along with 13 degrees of freedom (n1 + n2 - 2) enables us to ascertain the rejection region for the t-statistic at an α=0.025 level of significance (two-tailed test):

Rejection Region: t < -2.160 or t > 2.160

Given that -2.391 falls in the rejection region, we repudiate the null hypothesis. At the α=0.025 level of significance, we are provided sufficient evidence to support that those who consistently partake in exercise generally have a lower resting heart rate than those who do not.

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STak

Hello there. To solve this question, we'll have to remember some properties about exponential growth and solving exponential equations, inequalities.

Given the colonies A and B, for which the number of bacteria are, respectivelly, modelled by the equations:

For t > 0 in hours. We have to determine:

a) The number of bacteria in colony A after 4 hours.

For this, we take t = 4 and calculate the following number:

Using a calculator, we get the approximation:

b) How long does it take for the number of bacteria in colony A to reach 400?

For this, we have to determine t such that:

Hence plugging the exponential function, we get

Divide both sides of the equation by a factor of 12

Take the natural logarithm on both sides of the equation

Apply the following property:

Knowing that:

Hence we get:

Multiply both sides of the equation by a factor of 2.5

Using a calculator, we get the following approximation:

c) Find the value of k

For this, we have to use the fact that there are 60 bacteria in colony B after four hours;

Hence we get

Divide both sides of the equation by a factor of 24

Taking the natural logarithm of both sides of the equation

Applying the property presented before, we get

Divide both sides by a factor of 4

In this case it is better to keep the answer like this instead of using an approximaton.

With this, we have that B(t) will be

But we can keep it in the first form in order to solve part d).

d) The number of bacteria in colony A first exceeds the number of bacteria in colony B after n hours, where n is in integers. Find the value of n.

For this, we have to solve the following inequality:

Since both exponential functions are powers of e and

We can solve the inequality without having to swap its order.

Divide both sides of the inequality by a factor of

Hence we get

Since the logarithm is an one-to-one function, we take the natural logarithm on both sides of the inequality, preserving the order, therefore we get:

Applying the following property:

We get that

Hence we get by applying the very first property that

Divide both sides by a factor of

Notice it is a negative number, hence we swap the inequality sign as follows

Which evaluates to

Since n is an integer, then we say

Is the first hour for which the number of bacteria on colony A exceeds the number of bacteria on colony B.

Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step-by-step explanation:

Hope this is right!!!!

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

B

Step-by-step explanation:

pretty much just gave you the anwsers

The expression means "10 less than the sum of a and b" is 10 - (a + b). Then the correct option is C.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

The sum of a and b is given as

→ a + b

Then the meaning of the less than is minus.

That means 10 minus a + b

This can be written as

→ 10 - (a + b)

Thus, the correct option is C.

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EXPLANATION:

Given;

We are given the following system of inequalities;

Required;

We are required to graph the inequalities on a graph paper and identify the solutions to the system of inequalities.

Step-by-step solution;

To graph each inequality, we will have to identify and plot points/coordinates on the inequality.

We shall take the first inequality for example;

Therefore we have the coordinates;

Also,

Also we have the coordinates,

We can use the same procedure for the other inequality and plot several coordinates. We can go ahead and plot several coordinates as much as the graph page/paper can accommodate.

Using a graphing tool, we have the inequalities as shown below;

As we can see from the graph above, there is no point of intersection between both inequalities. Hence, there is no solution to this system of inequalities.

ANSWER:

No Solution

Answer: A

Step-by-step explanation:

For this problem, we would distribute the outer exponent to each exponent inside. Once we distribute, we multiply the exponents together.

\(2^\frac{12}{5} *9^\frac{4}{5}\)

Answer:

When we have exponents (being multiplied) in a parenthesis which also has an exponent, the exponent of the parenthesis gets multiplied by each one of the others. We have to distribute the outer exponent to each exponent inside, like:

\((a^n*b^m)^p = a^{n*p}*b^{m*p}\)

If there are numbers but no exponents (inside), it also happens the same, but as the exponent of the parenthesis gets multiplied by 1, we can just put the exponent, like:

\((a*b)^p=a^p+b^p\)

So, in our case we have what we have explained: two numbers, one of them with an exponent and the other without it in a parenthesis which also has an exponent, so we multiply that exponent by the ones of the numbers inside the parenthesis.

\((2^3*9)^\frac{4}{5}\) = \(2^{3*\frac{4}{5}}*9^\frac{4}{5}\) = \(2^\frac{12}{5}*9^\frac{4}{5}\)

So the answer is \(2^\frac{12}{5}*9^\frac{4}{5}\)

The population at the end of the year 2018 will be 2150.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.

The population will be calculated as the year 2000 is also considered:-

P = Total years x Increase per year

P = 19 x 50

P = 2150

Therefore the population at the end of the year 2018 will be 2150.

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Answer:

3

Step-by-step explanation:

the answer is x=3 because 4x3 = 12 + 1 = 13. there's your answer. please mark me brainliest!!!

The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Answer:

KL = 7, so B is the correct answer.

Answer:

Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer: A. -40

Step-by-step explanation:

-4 x -2 equals 8, 8 times -5 equals -40

Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?

Answer:

D: 14.5

Step-by-step explanation:

4.1 = d - 10.4    add 10.4 to each side

14.5 = d

Answer:

14.5

Step-by-step explanation:

10.4 - 4.1 = 14.5

Answer:

2x - 2

Step-by-step explanation:

There are two steps to take here.  First add together the -3 + 2 in the brackets:

2(x - 3 + 2)

= 2(x - 1)

Now use the distributive property and multiply each term in the brackets by two:

2(x - 1)

= 2x - 2

And you now have it in simplest form.