A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y

Answer:

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

We can see two angles marked as same, one of them is a right angle.

The included vertical side is common to both triangles so is a congruent side.

Since we have congruence of two angles and the included side, it is Angle-Side-Angle or ASA.

Answer:

142

Step-by-step explanation:

38+x = 180

x = 142

The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.

Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.

90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.

The x- and y-coordinates are both positive in quadrant I.

The x-coordinate is negative and the y-coordinate is positive in quadrant II.

The x- and y-coordinates are positive in quadrant III.

Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.

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Answer:

Step-by-step explanation: If the sides are a,b,c (in ascending order) and c squared = the sum of the squares of a and b, then it's a right triangle.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

Right triangle fulfill the pythagorean theorem:

[tex]a^2+ b^2 = c^2[/tex]

Where, c is the hypothenuse or the longest side, and b and a are the remaining two sides.

[tex]12^{2} = 144\\16^2 = 256\\256 + 144 = 400\\\sqrt {400} = 20 \neq 18[/tex]

The distance in miles represented by a length on the map of 7 inches is 0.28

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

Given;

The scale of a map says that 2 inches represents 50 miles.

2 inches = 50 miles

1 Mile = 2/50 inches

Hence, 7 Mile = 7 * 2/50 inches

7 Mile = 14/50 inches

7 Mile = 0.28 inches

Therefore, the scale factor of 7miles in the map will be 0.28inches

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The ratio of spice A to spice B is : 49/87

Here, 2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B.

First we convert the improper fraction into a proper fraction.

For improper fraction2 1/3,

2 1/3

= (2 × 3)/3 + 1/3

= 6/3 + 1/3

= (6 + 1)/3

= 7/3 which is a proper fraction.

and for 4 1/7

= (4 × 7)/7 + 1/7

= 28/7 + 1/7

= (28 + 1)/7

= 29/7

The ratio of spice A to spice B would be,

(2 1/3) / (4 1/7 )

= (7/3) / (29/7)

= (7/3) × (7/29)

= (7 × 7)/(3 × 29)

= 49/87

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The function G(x) = 3 tan(x) does not have a minimum value.

The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.

The extremas are classified as local minimum or local maximum, as follows:

The tangent function does not have a local minimum, as it is increasing over it's entire domain.

The function G(x) = 3 tan(x) is a vertical stretch by a factor of 3 of the tangent function, which changes only the range, thus the function continues without a local minimum.

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Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.

Why do you use the term pharmaceutical?

pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.

What function do drugs serve?

Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.

                          The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."

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The angle of a turn clockwise from South East to North is Option B 135°.

When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).

If we imagine the compass as a clock, with North at the 12 o'clock position, South at the 6 o'clock position, East at the 3 o'clock position, and West at the 9 o'clock position. Then South East would be at the 4:30 position and the North would be at the 12 o'clock position. To rotate from 4:30 (South East) to 12 o'clock (North) in a clockwise direction, we would have to rotate 135 degrees. Thus, the angle of a turn clockwise from South East to North is 135 degrees.

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The required scale factor that Amir will use to go from Polygon F to G is 1/9.

The scale factor is defined as the ratio of the modified change in length to the original length.

here,
Area of polygon F = 36 square units
Area of polygon G = 4 square units

Now,
The scale factor to go from polygon F to polygon G is given as,
SF = Area of polygon G / Area of polygon F
SF= 4/36
SF = 1/9

Thus, the required scale factor that Amir will use to go from F to G is 1/9.

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To do Maths fast follow the steps:

Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.

The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.

There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.

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The number of asset is 15.698.89

Assets = liabilities + equity

liabilities= 3,241.77

equity= 12,457.12

Assets= 3,241.77 + 12,457.12

=  15.698.89

Hence Lloyd has 15.698.89 number of assets

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Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Now, According to the question:

How do you find the domain?

Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

How do you find the range?

The range is calculated by subtracting the lowest value from the highest value.

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Answer:

Step-by-step explain

We know that the campsite is 65 miles north of her town.

There are 63,360 inches in a mile

so, if you multiply it would look like

63,360 x 65 = 4,118,400

so, your answer would be 4,118,400 inches

The range for the following set of scores: 6, 12, 9, 17, 11, 4, and 14 is 13.

In statistics, the range is a measure of dispersion that describes the difference between the largest and smallest values in a dataset. The range is used to describe the spread of a dataset and can be a simple way to identify outliers or unusually large or small values. It is a simple measure of statistical dispersion and is most useful for interval and ratio data.

It is calculated by subtracting the minimum value from the maximum value among the data set.

range = maximum value - minimum value

Plug in the necessary values and solve for the range.

range = 17 - 4

range = 13

Therefore, the range for the following set of scores is 13.

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A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Now, According to the question:

What does translation of coordinates mean?

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

Transformations of Graphs

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

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XY = 6 units  is the length of XY in AXYZ .

What is a right-angle triangle, exactly?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees.

                         Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

using the sine ratio in the right triangle and the exact value

  sin30° = 1/2, then

    sin30° = XY/XZ = XY/12 =  1/2  ( cross - multiply)

     2XY = 12  ( divide both sides by 2 )

        XY = 6

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The complete question is -

Use right triangle XYZ to complete the following parts.

Part A

12

XY =

30°

? Question

What is the length of XY in AXYZ?

Type the correct answer in the box. Use numerals instead of words.

units

The unknown number deduced by solving the equation 4x - 1 = 6x +9 is -5.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let the unknown number be x.

First multiply the number by 4 = 4x

Then subtract 1 from it = 4x -1

This results in the same number as when the number is multiplied by 6 and 9 is added to it = 6x + 9.

So the equation will be -

4x - 1 = 6x +9

4x - 6x = 9 + 1

-2x = 10

-x = 10/2

x = -5

Therefore, the number obtained is -5.

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If you take a number, times by 4 then subtract 1. You get the same as if you took the number, times by 6 then add 9. What is the number?

Answer:

0.25 in/h

Step-by-step explanation:

1. change 2 3/4 t0 2.75

2. 2.75/11= 0.25

The measurements are found using congruency.

What does congruency mean?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

It is given that ABCD ≅ EFGH :

According to congruency,

22. AD = EH, so AD = 335 ft.

23. GH= CD, so GH = 45ft.

24. m∠GHE = m∠CDA, so m∠GHE= 52°

25. m∠BAD= m∠FEH, so m∠BAD= 52°

26. EF= AB, so EF= 45ft

27. BC= FG, so BC= 280ft

28. m∠DCB= m∠HGF, so m∠DCB= 128°

29. m∠EFG= m∠ABC, so m∠EFG= 128°

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The volume of the cylinder on the image is:

v = 36,424 in³

So the correct option is the second one.

We know that for a cylinder of diameter D and height H, the volume is given by the formula:

V = pi*(D/2)²*H

Where pi = 3.14

Here we know that:

D = 40 inches.

H = 29 inches.

Replacing that in the formula for the volume we will get:

V = 3.14*(40 in/2)²*29 in = 36,424 in³

So the correct option is the second one.

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The guidelines apply to logarithms of any base anyway a comparable base ought to be used all through a calculation. This guideline tells us how to add two logarithms together. Adding log An and log B achieves the logarithm of the consequence of An and B, that is log Stomach muscle.

As demonstrated by the norm of logs, a log of a base with similar bases will drop and will leave simply the power. Logarithms are models, and when you increment, you will add the logarithms. The log of a thing is the number of logs.

In case you have comparable systems on the different sides of a circumstance, they offset each other! Recollect that this conceivably works when the logarithms on the different sides of the circumstance have a comparable base.

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Answer:

2.24$

Step-by-step explanation:

The best answer is t = 7. Option C

A quadratic equation is simply defined as an equation that could be rearranged in standard form.

It is also described as an algebraic equation having the highest exponent of as 2.

It is so arranged such that;

It is important to note that the three methods of solving quadratic equation are;

From the information given, we have that the form is;

x² = c

Given  t squared minus 49 = 0

First, represent mathematically

t² - 49 = 0

Now, collect like terms, we have;

t² = 49

Take square root of both sides

t = √49

t = 7

Hence, the equation is  t = 7

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Answer:

[tex]x = -7\\x = -3[/tex]

Step-by-step explanation:

The steps are in the image attached to this response.

The best option regarding the solutions of the trigonometric equation 2sin(θ) + 1 = 0 in this problem is given as follows:

d. θ = 330º + 360ºn, θ = 210 + 360ºn.

The trigonometric equation for this problem is defined as follows:

2sin(θ) + 1 = 0

Then, isolating the sine, we have that:

2sin(θ) = -1

sin(θ) = -1/2.

The values of theta for which the sine is of negative 1/2 are given as follows:

θ = 210º, θ = 330º.

(as the sine is negative for the third and fourth quadrant, hence we have to find the equivalent angle to 30º in each of these quadrants).

One entire lap over the unit circle is equivalent to 360º, hence adding 360º n times to any of these solutions is also a solution to the trigonometric equation, meaning that option d is correct.

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Here are the expressions that are equivalent to - 15 + 6x

What is an equivalent expression?

Expressions that are the same even if they may appear slightly different are called equivalent expressions. When you simplify equivalent expressions, they will all return the same value if you plug in the same variable value.

3(5 - 2x)

6x + (- 15)

15 + (- 6x)

The first one, -3(5-2x), can be simplified as -35+32x = -15 + 6x

The second one 6x + (- 15) is already in the same form as - 15 + 6x

The third one 15 + (- 6x) is just - 15 + 6x when you change the sign of -6x

The other expressions are not equivalent as they are not equal to - 15 + 6x

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Answer:

[tex]-1\frac{1}{3}[/tex]

Step-by-step explanation:

We can approach this equation algebraically. Since we know E = -3, we can substitute it into our Second equation, giving us:

-3G = 4

Divide both sides by 3 gives us :

G = [tex]-\frac{4}{3}[/tex]  =  [tex]-1\frac{1}{3}[/tex]

So, the possible coordinate of G is [tex]-1\frac{1}{3}[/tex].

Hope this helped!

On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so, we have

There were  = 150 tickets sold to the play

Student tickets cost $3 per ticket

so, total will be = 150* 3 = $450

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Answer:

d. 3^108

Step-by-step explanation:

Just multiply 6 and 18.