Jason receives $30,000 salary. If jason has to spend $18,000 on expenses each year then what % of jason's money does he have to spend? Round your answer to the nearest tenth if necessary.

Answer:

it is D

Step-by-step explanation:

Answer:

2square root of 10

Step-by-step explanation:

to find a simplification of a surd ,there must be a perfect square which you multiply w number to get square root of 40

Answer:

20 for both

Step-by-step explanation:

hope this helps

Answer:

The domain is the value of x for which the function is defined

Domain={x|-6≤x≤8}

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

Answer:

21d+12e

Step-by-step explanation:

I'm pretty sure thats it if its expanding.

Answer:

y=1/2x+5

Step-by-step explanation:

Answer:

y=1/2x+5

Step-by-step explanation:

slope intercept form is y=mx+b

m= slope

b= y-intercept

Answer:

y +x and the answer will be xy

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

Salamander trail is longer than great oaks trail.

Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

\(\frac{36mi}{6cm}=\frac{x}{4.5cm}\)

Where x is the real length of great oaks trail ⇒

\(x=\frac{(36mi).(4.5cm)}{6cm}=27mi\)

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

\(\frac{24mi}{3cm}=\frac{y}{3.5cm}\)

Where y is the real length of salamander trail ⇒

\(y=\frac{(24mi).(3.5cm)}{3cm}=28mi\)

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.

Answer:

Step-by-step explanation:

x+5+5=x+10=Sam's age 2x+5+5=2x+10=Nina's age 2x+10=1.5(x+10) (In five years, Nina will be 1.5 times as old as Sam. 2x+10=1.5x+150.5x=5x=10x+5=152x+5=25.

Nina:25

Sam:15

Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

The farmer can fill 45 boxes.

Step-by-step explanation:

To find this, we must divide the pounds of potatos by how much each box can hold.

2205/49 = 45

Answer:

45 boxes can be filled

Step-by-step explanation:

\(2205/49=45\)

System of equations is represented by the matrix below is 2x + 3y = 2 and 12x  = -24

[2 3     2]

[12 0   -24]

This means 2x + 3y = 2 and 12x  = -24

How matrix is used to solve system of equation?

The matrix can be used to solve system of equation. it can be 3 by 3 matrix or 2 by 2 matrices.

The first rows of the matrix above represent the coefficient of the first equation and second row represents the second equation of the system of equations.

Matrices is the plural form of matrix, which is a rectangular array or table with rows and columns of numbers or elements. They can have as many columns and rows as they want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

Matrices, the plural form of matrix, are the arrangements of numbers, variables, symbols, or expressions in a rectangular table with varying rows and columns. They are rectangular arrays with defined operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, while the vertical entries are referred to as columns.

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Answer:

3.25 pounds.

Step-by-step explanation:

For every pound of pet food Ben would have to pay $(23.49/9) = $2.61.

Hence, with $8.5, Ben would be able to buy (8.5/2.61) pounds = 3.25 pounds of pet food.

Hope this helped!

There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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Answer:

3

Step-by-step explanation:

PART ONE

Answers:

a) 8, 5 12, 12, 15, 0, 18, 1, 25, 1

b) The sequence will have 5 2x1 matrices.

c)The 2x1 matrices are:

d)

e) The product of A x B is:

a) to solve the first item, we need to look in the table and find the corresponding numbers.

The characters are:

H E L L O _ R A Y A

The corresponding string is 8, 5 12, 12, 15, 0, 18, 1, 25, 1

b) This string will be converted in 5 2x1 matrices, because there are 10 elements in total, and the matrices have 2 elements each:

c) Now, to write the 2x1 matrices, we need to take the string of numbers in pairs and create the 5 matrices:

d) If we join all the 2x1 matrices, we'll get a 2x5 matrix. This is matrix B.

e) The product of matrices is:

Answer:

\(\frac{1}{8} \)

Step-by-step explanation:

8x = -1
x = \(-\frac{1}{8} \)

The absolute value lines || means the answer will always be positive, so the final answer is positive 1/8.

Answer:

B

Step-by-step explanation:

To find the answer, translate each point and then use the process of elimination.

For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.

For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer:

$49

Step-by-step explanation:

16 - 9 =7

7 x 7 = 49

he would make $49.

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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Answer:

\(\mu =2.16\) --- Mean

\(\sigma^2 = 1.4944\) -- Variance

\(\sigma = 1.222\) --- Standard deviation

Step-by-step explanation:

Given

\(\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.12} & {0.2} & {0.2} & {0.36} & {0.12} \ \end{array}\)

Solving (a): The population mean

This is calculated as:

\(\mu = \sum x * P(x)\)

So, we have:

\(\mu =0*0.12 + 1 * 0.2 + 2 * 0.2 + 3 * 0.36 + 4 * 0.12\)

\(\mu =2.16\)

Solving (b): The population variance

First, calculate:

\(E(x^2)\) using:

\(E(x^2) = \sum x^2 * P(x)\)

So, we have:

\(E(x^2) = 0^2*0.12 + 1^2 * 0.2 + 2^2 * 0.2 + 3^2 * 0.36 + 4^2 * 0.12\)

\(E(x^2) =6.160\)

So, the population variance is:

\(\sigma^2 = E(x^2) - \mu^2\)

\(\sigma^2 = 6.16 - 2.160^2\)

\(\sigma^2 = 6.160 - 4.6656\)

\(\sigma^2 = 1.4944\)

Solving (c): The population standard deviation

This is calculated as:

\(\sigma = \sqrt{\sigma^2}\)

\(\sigma = \sqrt{1.4944}\)

\(\sigma = 1.222\)

Answer:

3x + 10 y = -80

Step-by-step explanation:

We are given the equation y = −3/10x − 8  and we want to write it in standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.

The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.

So, to start, we can add 3/10x to both sides.

y = -3/10x - 8

+3/10x +3/10x

_______________

3/10x + y = - 8

Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).

So, we need to clear the fraction.

Multiply both sides by 10.

10(3/10x + y) = 10(-8)
3x + 10y = -80

Answer:

Option B, 105 would be correct

Step-by-step explanation:

The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°

Hope this helps!

Answer:

  $42

Step-by-step explanation:

You want the price with tax of a $35 pair of shoes subject to a 20% tax.

The tax is the cost of the shoes multiplied by the tax rate. The final price is the sum of the cost of the shoes and the tax:

  final price = price + price × tax rate

  final price = price × (1 + tax rate) = $35 × 1.20 = $42

The final price of the shoes is $42.

Answer:

42$

Step-by-step explanation:

tax increase will be

20% of 35$

= 20/100 × 35

= 7$

Final price = Old price + Tax

= 35 + 7

= 42$

Answer:

97

Step-by-step explanation:

if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.

Answer:

\(\frac{8}{15}\) of a mile

Step-by-step explanation:

To find a segment of a fraction, you must first find the LCM of each value's denominator:

LCM - Lowest Common Multiple

The lowest common multiple is the number that shows up first in each number's multiple set.

Example: LCM of 4 and 6

Multiples of 4: 4, 8, 12, 16, 20

Multiples of 6: 6, 12, 18, 24, 30

Because 12 is the first number to show up in each multiple set, 12 is the LCM.

So, to be able to solve this problem easy, do the same with 5 and 3:

5, 10, 15, 20, 25

3, 6, 9, 12, 15

Since 15 is the first number in both sets, 15 is the LCM.

The next step is to multiply \(\frac{4}{5}\) by \(\frac{x}{x}\), x being the value that can be multiplied with the denominator to equal 15:

\(\frac{4}{5}\) × \(\frac{3}{3}\) = \(\frac{12}{15}\)

To find how much \(\frac{2}{3}\) of \(\frac{12}{15}\) is, multiply the fractions together:

\(\frac{12}{15}\) × \(\frac{2}{3}\) = \(\frac{24}{45}\)          

Simplify the fraction by dividing the numerator and denominator by 3.

\(\frac{24}{45}\) ÷ \(\frac{3}{3}\) = \(\frac{8}{15}\)

Because the fraction can't be simplified any further, Aimee has walked a total of \(\frac{8}{15}\) of a mile.