Murthy has a rectangular wooden box whose length is 7m and breath is 5m. He want to cover the top surface of it with a nice cloth. The cost of the cloth is 50 per sq.m.

The money left from last month's earnings is $1660.35.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In order to find the money left, we have to find the difference of earnings and expense.

Earnings = $4,283.30

Expense for bills = $4,283.30 × (3/5) = $2569.98

Expense for shirts = $19.99 × 2 = $39.98

Expense for sunglasses = $12.99

Total expense = $2569.98 + $39.98 + $12.99 = $2622.95

Money left = $4,283.30 - $2622.95 = $1660.35

Hence $1660.35 amount of money is left.

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The complete question is :

Selena earned $4,283.30 last month she used 3/5 of her earnings to pay her bills with the remaining money she bought two shirts $19.99 each and a pair of sunglasses for $12.99 how much money does Selena have left from last month's earnings?

The value of x is 16.2.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Perpendicular = 18

Base = x

Tan Ф = Perpendicular / Base

Tan 48 = 18 / x

1.11 = 18/x

Solve for x.

1.11 = 18/x

x = 18/1.11

x = 16.22

x = 16.2

Thus,

x is 16.2

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Answer:

πr2

Step-by-step explanation:

The formula of a circle/finding its area is pi(r)^2

Answer: The formula for the area of a circle is π r squared

Answer:

The slope of the line is -5/7

Step-by-step explanation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{4-(-3)}=\frac{-5}{4+3}=-\frac{5}{7}[/tex]

Answer:

the answer is 20

Step-by-step explanation:

.........

Answer:

20

Step-by-step explanation:

Do it one step at a time using the correct order of operations.

11 - 12 ÷ 4 + 3(6 - 2) =

= 11 - 3 + 3 × 4

= 8 + 12

= 20

Peeta worked 9.41 hours on Sunday. The equation 5.5h + 90.2 = 142.2 can be used to determine the number of hours Peeta worked given his earnings.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let h be the number of hours that Peeta worked on Sunday. We know that he earned $5.50 per hour and $90.20 in tips. So, his total earnings can be represented as:

5.5h + 90.2 = 142.2

Solving for h:

5.5h = 142.2 - 90.2
5.5h = 52

h = 52 / 5.5
h = 9.41 hours

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f(x) and g(x) are closed under subtraction because when subtracted, the result is also a polynomial.

Option B is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

f(x) = a(0) + a(1)x + a(2)x² + ......... + a(n)[tex]x^n[/tex]

g(x) = b(0) + b(1)x + b(2)x² + .......... + b(n)[tex]x^n[/tex]

Now,

f(x) - g(x)

=  a(0) + a(1)x + a(2)x² + ......... + a(n)[tex]x^n[/tex] -  b(0) - b(1)x - b(2)x² - .......... - b(n)[tex]x^n[/tex]

= (a(0) - b(0)) + (a(1) - b(1))x + (a(2) - b(2))x² + ........... + (a(n) - b(n))[tex]x^n[/tex]

This is also a polynomial.

Thus,

f(x) and g(x) are closed under subtraction.

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[tex]x=-2\hspace{5em}y=2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x^2 - y^3}{x^3 + y^2}\implies \cfrac{(-2)^2 - (2)^3}{(-2)^3 + (2)^2}\implies \cfrac{(-2)(-2)~~ - ~~(2)(2)(2)}{(-2)(-2)(-2)~~ + ~~(2)(2)} \\\\\\ \cfrac{(+4)~~ - ~~(+8)}{(-8)~~ + ~~(+4)}\implies \cfrac{4-8}{-8 + 4}\implies \cfrac{-4}{-4}\implies \text{\LARGE 1}[/tex]

for the sake of clarity, is better to parenthesize all, since plugging in the value for the variable, only includes the variable, no any exponents or signs in front.

that said, let's recall that minus * minus = plus, and that plus * plus = plus, however minus * plus = minus.

so you can think of it this way, if you have a negative value multiplied an "even times", it'll positivize, if you multiply it an "odd times", it'll go back to negative, so is not like it remains negative, it changed a few times and in the end negativized back.

The graph of y = 4x + 5 that models this situation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Already eaten = 5 mini hot dogs

Rate = 4 hot dogs per minute

So, the equation is

y = 4x + 5

A linear equation is represented as

y = mx + c

Where

slope = m = 4

y-intercept = c = 5

See attachment for the graph

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Se requiere agregar un volumen adicional de 24 yardas cúbicas para obtener una concentración de grava de 85 %.

Este problema es un caso de aplicación de promedios ponderados, en donde se mezcla un volumen de un porcentaje menor de grava con otro volumen de un porcentaje mayor de grava para obtener una mezcla con un porcentaje deseado. Esta situación queda descrita en la siguiente ecuación:

(6 yd³) · 65 + x · 90 = (6 yd³ + x) · 85

Donde x es el volumen del cargamento de grava al 90 %, en yardas cúbicas. A continuación, procedemos a determinar el volumen requerido:

390 + 90 · x = 510 + 85 · x

5 · x = 120

x = 24 yd³

No aparecen problemas verificados en español sobre promedios ponderados. Se ha agregado un problema en inglés por defecto.

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The value of 30 dollars in British pounds is 24.3

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We have to convert the 30 us dollars to the British pounds

The value of one dollar in pounds is 0.81

Now let us calculate for 30 dollars

30×0.81

24.3 pounds

Hence, the value of 30 dollars in British pounds is 24.3

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For the given triangles ΔABC ≈ ΔXYZ, the length of the side AB is, 24

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One triangle, ΔABC

Another triangle , which is ΔXYZ

Triangle ΔABC and ΔXYZ similar,

So, we can say ΔABC ≈ ΔXYZ

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, AB/BC = XY/ZY

⇒   X/18   =  16/12

⇒   X   =  24

Hence, the value of x is 24

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1) The value of x in the triangle is; x = 25

2) The measure of each interior angle is;

25°, 40° and 115°

Exterior angle = 65°

In a triangle, from the exterior angle property, we know that the exterior angle is always equal to the sum of the interior opposite angles. Thus, we say that any two triangles will be similar provided that their corresponding angles tend to be congruent and the length of their sides will be proportional.

Thus;

x + 15 + 25 = 3x - 10

3x - x = 25 + 15 + 10

2x = 50

x = 50/2

x = 25

The measure of each interior angle is;

25°

25 + 15 = 40°

180 - (25 + 40) = 115°

Exterior angle = 180 - 115 = 65°

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a. Perimeter = 72 yd

b. Area = 640 yd².

a. To find the perimeter of the compound figure, we need to add the lengths of all four sides together.

The perimeter is equal to 16 yd + 32 yd + 16 yd + 8 yd = 72 yd.

b. To find the area of the compound figure, we need to separate the figure into two separate shapes and find the area of each.

The figure can be separated into a 16 yd by 32 yd rectangle and a 8 yd by 16 yd rectangle.

The area of the 16 yd by 32 yd rectangle is 16 yd x 32 yd = 512 yd² and the area of the 8 yd by 16 yd rectangle is 8 yd x 16 yd = 128 yd². The total area is 512 yd² + 128 yd² = 640 yd².

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Answer: X E R

Step-by-step explanation: y=2 x 2x+2

calculate the product

y=4x+2

The domain of a linear function is the set of all real numbers

x E R

Answer:

-10 and -7

Step-by-step explanation:

Notice that (-10) + (-7) = -17, and (-10)(-7) = 70, so these are the integers.

Answer:

-7 & -10

Step-by-step explanation:

-7 + -10 = -17

-7 x -10 = +70

The ratio of 2 days to 80 hours and 5 days to 80 hours is 1 day : 40 hours and 1 day : 16 hours respectively.

2, 5 days : 80 hours

So,

2 days : 80 hours

= 2/80

= 1/40

= 1 day : 40 hours

Also,

5 days : 80 hours

= 5/80

= 1/16

= 1 day : 16 hours

Hence, the ratio of days to hours is given by 1 day : 40 hours and 1 day : 16 hours respectively.

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Answer: 500

Step-by-step explanation:

25 x 20 = 500

Answer:

Step-by-step explanation:original quantity = $30

New quantity = $39

increase amount = 39-30 = 9

Percent change:

30 x = 9

x = 9/30

x = 0.3

0.3x 100 = 30%

Since the quantity grows, it's a percent increase.

The lateral surface area of the pyramid is 200 square inches.

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces. The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.

We know the lateral surface area of a pyramid is = (1/2)×P×h, where P is the perimeter of the base.

Given, Each side of the base of a square pyramid measures 10 inches.

So, The perimeter of the pyramid is 4×10 = 40 inches.

Therefore, The lateral surface area of the pyramid is = (1/2)×40×10.

= 200 square inches.

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Step-by-step explanation:

At Big Time Pizza, you would need to add 5 toppings in order for the pizza to cost the same as a medium pizza from PizzaPizza, which would cost $9.50. At PizzaPizza, you would need to add 8 toppings in order for the pizza to cost the same as a medium pizza from Big Time Pizza, which would cost $9.50.

Answer:

Step-by-step explanation:

Are you asking to have this sentence put into a mathematical expression?  If so, I think the answer is:

y = (1/4)(x + 8) = 1/4 x + 2

The value of y'(2) is 135/16.

The correct option is A.

Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables.

Given:

y = (x - 1/x)³

Differentiating the function with respect to x,

y' = 3x² +3/x⁴ - 3 - 3/x²

y'(2) = 12 + 3/16 - 3 -3/4

y'(2) = 135/16

Therefore, the value is 135/16.

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the 25 brick masons complete the same job in 120 hours.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

It took 10 brick masons 300 hours to brick a new home.

1 brick mason will take 300*10 =3000 hours

So 25 brick masons will take 3000/25 = 120 hours.

Hence the 25 brick masons complete the same job in 120 hours.

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Applying the angle bisector theorem, the lengths are:

A. KL = 2.4, LW = 3.6

The Angle Bisector Theorem states that in a triangle, the ratio of the length of a side to the length of another side is equal to the ratio of the length of the angle bisector of one of the angles to the angle bisector of the corresponding angle.

In other words, if two angles of a triangle have angle bisectors of lengths x and y, then x/y = a/b where a and b are the lengths of the sides of the triangle corresponding to the bisected angles.

Based on the angle bisector theorem, we have:

(6 - x)/(x) = 4/6

Cross multiply:

4x = 6(6 - x)

4x = 36 - 6x

4x + 6x = 36

10x = 36

x = 36/10

x = 3.6

LW = x = 3.6

KL = 6 - x = 6 - 3.6 = 2.4

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Answer:

i hope this help

Step-by-step explanation:

If each question is worth 4 points, then 100 questions would be worth 400 points.

If Chee got 10 questions wrong, she would have answered 100-10 = 90 questions correctly.

Her score would be 90 x 4 = 360 points out of 400 points.

As a percentage, her score would be 360/400 x 100 = 90%.

If Chee got x questions wrong, her score would be (100-x) x 4 points.

The number 25 is the value at which the number sentence is true. An enumerated (numbered) list can be presented in sentence form in a variety of ways.

An enumerated (numbered) list can be presented in sentence form in a variety of ways. The number (not the number word) can be placed in parentheses in the following manner: I listed the following three causes: Here is my first justification, this is my second justification, and this is my third justification. A number sentence compares two numerical expressions and states their equivalence (or inequality).

Let the value be x

now 36 + 27 = 88 - x

36 + 27 = 88 - x

63 = 88 - x

x = 88 - 63

x = 25

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Step-by-step explanation:

Since we're solving for L, it has to equal L.

Which means C & D are the only options.

Only problem is... we don't have the original formula. Not sure if it was part of #1 or...

If a large equilateral triangle pyramid stands in front of the city's cultural center. The time  it take the painter to paint 75% of the pyramid is 10.8 hours.

The area of the base is:

(1/2) * 40 * 40

= 800 square feet

The area of one lateral face is:

(1/2) * 50 * 40

= 1000 square feet

So, the total area of all four lateral faces is:

4 * 1000

= 4000 square feet

The total surface area of the pyramid is:

800 + 4000 = 4800 square feet

To paint 75% of the pyramid, the painter needs to paint:

0.75 * 4800

= 3600 square feet

Time it will take them is:

3600 / 100 * 18

= 648 minutes or 10.8 hours

Therefore painter will take approximately 648 minutes, or 10 hours and 48 minutes, to paint 75% of the pyramid.

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