The length of Benson’s desk is 6 feet. Which of the following illustrations is drawn to a scale of 1 centimeter = 3 feet?

Answer:

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

Given two sets:

Both sets include 3 and 5 so the combination is all the elements of the A and two unique elements of the B:

The matching choice is D.

Answer:

[tex]x=-\frac{21}{8}[/tex]

Step-by-step explanation:

[tex]-4(2x+4)=5 \\ \\ 2x+4=-\frac{5}{4} \\ \\ 2x=-\frac{21}{4} \\ \\ x=-\frac{21}{8}[/tex]

Answer:

to solve a system of linear equations by elimination, we need to eliminate one of the variables, for example, we could add the two equations together to eliminate the variable y. However, we need to make sure that the coefficients of the two equations are the same before we can add them together. We can do this by multiplying the first equation by -1.5 and the second equation by 1.5. This gives us the following system of equations:

-2.25x - 13.5y = -31.5

2.25x - 4.5y = 13.5

We can now add these two equations together to eliminate the variable y, which gives us the following equation:

0 = -18

This equation is not possible, so the system of equations does not have a solution.

Answer:

Math  can help you get your answer it has a linear equation by option

Step-by-step explanation:

Reciprocal of zero is undefined. So all the real numbers do not have the

reciprocal.

The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal.

We have the statement,

''All real numbers have a reciprocal''.

To find a counterexample:

The reciprocal of the number zero will always have the value "undefined".

Since there is no number that, when multiplied by zero, produces the result 1.

If n is a real number, then 1/n will be n's reciprocal.

n = 1,

So, the reciprocal of 1 is 1/1 = 1.

n = -7,

So, the reciprocal of -7 is 1/-7= -1/7.

And n = 1/4

So, the reciprocal of 1/4 is 1/(1/4)= 4/1 = 4.

Hence, reciprocal of zero gives us to disprove the statement.

Therefore, All real numbers have the reciprocal, except zero.

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An equation with the formula of an acute angle is a²+b²>c².

Triangles can be categorised based on their sides and angles. According to the measurement of angles, a triangle is categorised as acute. A triangle is referred to as an acute triangle if all of its inner angles are smaller than 90°.

In an acute triangle, the following statement holds good for the length of the sides:

a²+b²>c²

b²+c²>a²

c²+a²>b²

Where a, b and c are the sides of a triangle.

Therefore, an equation with the formula of an acute angle is a²+b²>c².

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Answer: x=-10

Step-by-step explanation:

Given that  x/5=-2

multiply both sides of equation with 5

(x/5)*(5)=(-2)*(5)

x=-10

Answer:

Step-by-step explanation:

The values of the expressions 12 + x is 18, 3x + y is 21, 4y - 10 is 14,

xy is 30.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Finding the value of given expression when x = 6 and y = 5 is simply replacing x and y with their numeric values.

Given,

12 + x.

= 12 + 6.

= 18.

3x + y.

= 3(5) + 6.

= 15 + 6.

= 21.

4y - 10.

= 4(6) - 10.

= 24 - 10.

= 14.

xy.

= (5)(6).

= 30.

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The expression equivalent to the given expression 2(x -2)-5(2x -3) is

(2x-4-10x+15)

An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, 2(x -2)-5(2x -3)

Using distributive property,

a(b+c) = ab+bc

2(x -2)-5(2x -3) = 2x-4-10x+15

Hence, The expression equivalent to the given expression 2(x -2)-5(2x -3) is (2x-4-10x+15)

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Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

The slope of the ramp is the ratio of the y and x coordinates thus it will be 24 feet.

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The situation is making a right-angle triangle as shown below.

The slope of the wheelchair = 2 feet / x

2/x = 1/12

x = 2 x 12 = 24 feet

Hence "The ramp will be 24 feet long since the slope is determined by the ratio of the y and x variables".

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Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

Answer: 6/4

Step-by-step explanation:

Pull terms out from under the radical.

3

(

8

√

8

)

Multiply

8

by

3

.

3

√

8

The result can be shown in multiple forms.

Exact Form:

6

√

4

Decimal Form:

0.61237243....

The irrational numbers are option (A)  π/2 and [tex]\sqrt[3]{4}[/tex]

The rational numbers are the numbers that can be expressed in the p/q form

The irrational numbers are the numbers that cannot be expressed in the p/q form.

The first number is -4.8237

This can be expressed in p/q form

It is a rational number

The second number is π/2

This cannot be expressed in p/q form

It is an irrational number

The third number is [tex]\sqrt[3]{4}[/tex]

We cannot express this in p/q form

It is an irrational number

The fourth number is 4 + [tex]\sqrt{25}[/tex]

Find the square root

4 + 5 = 9

This is a rational number

Therefore, the rational numbers are π/2 and [tex]\sqrt[3]{4}[/tex]

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Answer:

y = 1,100 - 130x

Step-by-step explanation:

Zachary purchased a computer for ​$1100 on a payment plan. three months after he purchased the​ computer, his balance was ​$710. four months after he purchased the​ computer, his balance was ​$580. What is an equation that models the balance y after x​ months?

(1,100 - 710)/3 = he pays $130 per month

(1,100 - 580)/4 = he pays $130 per month

when balance = y and x = months

y = 1,100 - 130x

On the blueprint what is the length of a room is 5square inch.

What is square?

A square is a quadrilateral because it has four equally sized sides. Our immediate surroundings is filled with many square-shaped things. Equal sides and interior angles of 90 degrees help you identify each square form. A closed form known as a square has four equal sides and two interior angles that are both 90 degrees. A square has a wide range of characteristics.

Given the square bedroom have 3 feet side

The area of the bedroom is = 3² = 9 sq inch

1 inch = 2 feet

1 square inch = 4 square feet

20 square feet = 5square inch

Hence, On the blueprint what is the length of a room 5square inch.

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Answer:

The product of 0.8 and a number is 12, so the equation representing this statement is: 0.8 * x = 12.

To solve this equation, we need to find the value of x that makes the equation true. We can do this by using the replacement set {0, 8, 1, 7, 15}.

If we substitute 0 for x in the equation, we get: 0.8 * 0 = 12. This equation is not true, so 0 is not a solution.

If we substitute 8 for x in the equation, we get: 0.8 * 8 = 12. This equation is not true, so 8 is not a solution.

If we substitute 1 for x in the equation, we get: 0.8 * 1 = 12. This equation is not true, so 1 is not a solution.

If we substitute 7 for x in the equation, we get: 0.8 * 7 = 12. This equation is not true, so 7 is not a solution.

Finally, if we substitute 15 for x in the equation, we get: 0.8 * 15 = 12. This equation is true, so 15 is a solution.

Therefore, the solution set for this equation is {15}.

Answer:  0.8x=12

x=15

Step-by-step explanation:

0.8x=12

x=15

15*0.8=12

Answer:

m = -2; b can be any number other than 3/2

Step-by-step explanation:

There is no solution when the lines are parallel.

To have parallel lines you need equal slopes and different y-intercepts.

Answer: m = -2; b can be any number other than 3/2

Answer:8

Step-by-step explanation: 10/ 1 1/6 so the equals to 8 4/7 but the problems says whole necklaces to the answer is 8

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

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Answer:  $879,489

Step-by-step explanation:

When it comes to a business net worth is simple:

           assets - liabilities = net worth.

Assets are an expenditure that has utility through multiple future accounting periods.  For example, a company pays its electrical bill. This expenditure covers something (electricity) that only had utility during the billing period; therefore, it is recorded as an expense.

Conversely, the company buys a machine, that it expects to use for the next five years. Since this expenditure has utility through multiple future periods, it is recorded as an asset.

Cash, savings, inventory, investments, equipment, and receivables are also assets. Basically, anything that is owned and could be liquidated for cash.

In simple terms a liability is something that is owed to someone else:

Solve x(4.4)(1.4) given that x = 5

Plug x into equation

5(4.4)(1.4)

Distribute 5 into 4.4

22(1.4)

Distribute 22 into 1.4

30.8

Hope this helps :)

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Answer:

To solve this problem, we need to first perform the multiplication. In mathematics, multiplication is performed before division, so we should calculate the product of 6/7 and 1/2 before dividing it by any other number. To find the product, we simply multiply the numerators together to get 6 and the denominators together to get 14. So the product of 6/7 and 1/2 is 6/14.

Step-by-step explanation:

The rate at which 6 people will paint the house will be 135  [tex]m^{2}[/tex] per hour

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

According to the Given information

Applying Unitary Method

House painted by 2 people at the rate = 45 [tex]m^{2}[/tex] per hour

House painted by one person at the rate = [tex]\frac{45}{2}[/tex]  [tex]m^{2}[/tex] per hour

House painted by 6 people at the rate = [tex]\frac{45}{2}[/tex]× 6 [tex]m^{2}[/tex] per hour

                                                                = 135  [tex]m^{2}[/tex] per hour

Hence

The rate at which 6 people will paint the house will be 135  [tex]m^{2}[/tex] per hour

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a) Investment B is less risky based solely on the standard deviation.

b) Based on the coefficient of variation, Investment B is less risky.

c) The better measure of expected returns of the two investments is the coefficient of variation.

The coefficient of variation shows how spread out or variable the standard deviation is to population mean.

It is a ratio of the standard deviation compared to the population mean.

A higher coefficient of variation shows a greater dispersion or risk.

The formula for the coefficient of variation is given as follows:

Coefficient of Variation (CV) = (Standard Deviation/Mean) × 100.

Investments                            A           B

Expected annual returns      15%       12%

Standard deviations             10%        5%

Coefficient of variation = Standard deviation ÷ Expected annual returns x 100

Investment A = 66.67% (0.10/0.15 x 100)

Investment B = 41.67% (0.05/0.12 x 100)

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Answer: thanks for the ponts

Step-by-step explanation: ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

The value of a is 3.

The value of b is 5.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]3^{1/5}[/tex]

This expression can be written as 5 roots of 3.

[tex]\sqrt[5]{3}[/tex]

Thus,

The value of a and b from the expression [tex]3^{1/5}[/tex]are 3 and 5.

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Here is the two column proof:

    Statement                                        Reason                                              

The y-intercept of a line is where it meets the y-axis.  

This y-axis occurs at x = 0.

Simply input x = 0 into the line y = -4x - 7

y = -4(0) - 7

y = -7

y - intercept (we also like to abbreviate that y-int) = -7

Hope this helps :)

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Answer: -7

Step-by-step explanation:

Since the answer is already in slope intercept form x=-4 and y = -7

Answer:

y=5x-23

Step-by-step explanation:

y=mx+b is the slope intercept form

m is slope

And b is y intercept

We know the line will have a slope of 5 since they are parallel both lines will have the same slope

y=5x+b

To find b we put in the given coordinates (4,-3)

-3=5(4)+b

-3=20+b

-20 -20

-23=b

Now we just plug in b

y=5x-23

Hopes this helps

Answer: 42

Step-by-step explanation: ik additive inverse