A cabin was built in the shape of a rectangle. It is 15 meters (m) long and 10 m wide. How far is it all the way around the outside of the cabin?
Which of these shows a way to solve the problem?

The measure of the angle 1 is 95.05 degrees.

It is given in the question that:-

Measure of Angle 1 = 7x + 10

Measure of Angle 2 = 3x + 4

Measure of Angle 3 = 3x + 8

All the angles are supplementary.

We know that, the sum of all the supplementary angles is equal to 180 degrees.

Hence, we can write,

(7x + 10) + (3x + 4) + (3x + 8) = 180

(7x + 3x + 3x) + (10 + 4 + 8) = 180

13x + 22 = 180

13x = 180 - 22

13x = 158 degrees

x = 158/13 degrees

x = 12.15 degrees (rounded off  to the hundredths place )

Hence,

Measure of angle 1 = 7x + 10 = 7(12.15) + 10 = 85.05 + 10 = 95.05 degrees.

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Answer:

I think the answer is 7

Step-by-step explanation:

.25 = p ,

Solution :

equivalent to 10+ 4(-8q - 4)

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom.

Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at

examples of equivalent equations

Equivalent equations are algebraic equations that have identical solutions or roots.

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.

Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

The first step is to know the rules of equivalent equations:

Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation.

Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

Raising both sides of the equation to the same odd power or taking the same odd root will produce an equivalent equation.

If both sides of an equation are non-negative, raising both sides of an equation to the same even power or taking the same even root will give an equivalent equation.

Solution :

10+ 4(-8q - 4)=0

10+ 4(-8q ) = 4

10-24 p =4

10 -4 =24 p

6 =24 p

6/24 = p

1/4 = p

.25 = p

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Answer:

x = 2,495 units

Step-by-step explanation:

16000 + 9.45x = 55.95x

by solving we find:

x = 344 units

the company must sell 344 units to break even.

b) How many units must the company sell to make a profit of $100,000?

55.95x - (16000 + 9.45x) = 100000

Answer:

3/4 = 0.75 2/3 = 0.6667 Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.75 is greater than 0.6667 which also means that 3/4 is greater than 2/3.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

8-3 is 5, so her brother read 5 books. 8+5=13 so they read 13 total books.

well, keeping in mind a year has 12 months, thus 4 months is really 4/12 of a year

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$4200\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{4}{12}\dotfill &\frac{1}{3} \end{cases} \\\\\\ I = (4200)(0.045)(\frac{1}{3}) \implies I=63[/tex]

Answer:

MDS/GDS

10....../9.6

8......./7.6

4.75./4.69

4......./3.6

(I hope so)

Answer:
112

Step-by-step explanation:

Just plug in 2 into the equations and then multiply them together at the end.

g(2) = 3(2) + 1
       = 6 + 1
       = 7

f(2) = (2)² + 3(2)²
      = 4 + 3(4)
      = 4 + 12
      = 16

g(2) × f(2)
    7 × 16 = 112

The result of the evaluation as given in the task content is; -42/25.

It follows from the task content that the result of the evaluation is required.

First, -3.6 and 2 1/7 can be converted to fractions as follows;

-3.6 = -36/10 = -18/5

2 1/7 = 15/7

Hence; −3.6 ÷ 2 1/7

= -18/5 ÷ 15/7

= -18/5 × 7/15

= -42/25.

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Answer:

n = 2

Step-by-step explanation:

So all you have to do is solve:

-2(-5 + n) = 6

= 10 + -2n = 6

= -2n = -4

= n = 2

This means that n = 2.

But what if I'm wrong? So lets see if it works.

-2(-5 + 2) = 6

10 - 4 = 6

6 = 6

So n = 2 is right.

Hope this helped! :D

Answer:

Step-by-step explanation:

I don’t know how to do this -2(-5+n)=6 ?

-2*(-5+n)=6

10 -2n = 6

10 - 6 = 2n

4 = 2n

2 = n

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

check

-2 ( -5 * 2) = 6

10 - 4 = 6

6 = 6

Answer:

48

Step-by-step explanation:

w = 5x² + 3

x = -3

w = 5(-3)² + 3

w = 5(9) + 3

w = 45 + 3

w = 48

The experimental probability that Connor will miss his next free-throw attempt is 2/3.

From the information, Connor missed 12 out of his last 18 free throws.

Therefore, the probability will be:

= Number of missed throws / Total throws

= 12/18

= 2/3

Therefore, the experimental probability that Connor will miss his next free-throw attempt is 2/3.

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Answer:

3460800.00

explanation:

The number of volunteers who are selected for the tennis tournament is 40 as calculated by the fractions.

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces. A fraction in spoken English refers to the number of components of a particular size.

A fraction consists of a numerator and a denominator. The numerator divided by the denominator is known as a fraction.

Compound fractions, complicated fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

There are a total of 200 applicants who volunteered at the tennis tournament.

1/4 of the volunteers were successful.

Number of successful applicants= [tex]\frac{1}{4} \times 200=50[/tex]  

Now 1/5 of the successful candidates could not complete the training.

Number of unsuccessful candidates= [tex]\frac{1}{5} \times 50=10[/tex]

Number of Volunteers selected to help at the tournament= 50-10=40

Hence 40 candidates were selected to help at the tournament.

Disclaimer: The complete correct question is :

200 applicants applied to volunteer at an international tennis tournament.1/4th of the applicants were successful. However, of the successful applicants, 1/5th couldn’t make all the training sessions and were discounted. How many were selected to help at the tournament?

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Answer:

$534.87

Step-by-step explanation:

($849)30%

=$254.7

subtract product from original sum $849-254.7=

$594.3

($594.3)10%=

59.43$

594.3$-59.43$=

534.87$

Answer:

D

Step-by-step explanation:

becasue one is shaded in so it's is going to be a mixed number and there is 15 other shaded blocks so 15/100 is 3/20 so the answer is 1 and 3/20

Answer:

D

Step-by-step explanation:

All work and the answer is provided in the attached screenshot! :)

Answer:

the answer would be 0.05

Step-by-step explanation:

to be a function every value of x must have exactly one value of y.

in other words, if you create a vertical line and move it across the whole chart (e.g. from left to right), this line must not even once intersect the function curve more or less than once.

so, this is clearly a given here. yes, it is a function.

the domain is the interval or set of all valid x (input) values. and that starts on the right with x = 5 (included in the function indicated by the filled dot). and it goes endlessly to the left. that means -infinity (but not included as "infinity" is only a symbol but not a number).

-infinity < x <= 5

the range is the interval or set of all valid y (function result) values.

and that starts on the top with y = 2 (included). and it goes endlessly down. that means again -infinity (not included).

-infinity < y <= 2

Answer:

No, it is not given

Step-by-step explanation:

With algebraic operations, the value becomes 0.8.

According to the statement

We have to find that the value of the statement.

So, For this purpose, we know that the

Algebraic operation is any combination of a finite number of the operations of addition, multiplication, subtraction, and division.

And the The four basic algebraic operations are addition, subtraction, multiplication and division.

From the given information:

The result of 10 - 9.2

Then

10 - 9.2

Here we add to subtract the given terms

Then after subtracting the terms the value of the statement become

0.8

Then with the help of the algebraic operation the value becomes 0.8.

So, With algebraic operations, the value becomes 0.8.

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Answer:

92 degrees

Step-by-step explanation:

-2 is 2 degrees from 0. the high is 90. Add them together for 92 :)

Answer:

92 degrees

Step-by-step explanation:

90 - (-2) = 92

The price of the file is Rs 89.18  and pen is Rs 109.43 as calculated from a linear equation .

An equation is said to be a linear equation if the maximum power of the variable is consistently 1.

Let us consider the cost of the file be x dollars.

Then cost of the pen = x + 20.25

And cost of the book = x + 20.25 - 13.20 = x - 7.05

The cost of all three items together is 280.75

Now we will form a linear equation in x to find the cost of each of the pen, book and file separately.

x + x + 20.25 + x - 7.05 = 280.75

or, 3x + 13.20 = 280.75

or, 3x = 267.55

or, x = 89.18

Hence the cost of the file is approximately Rs 89.18

Cost of the pen = 89.18 + 20.25 = Rs 109.43

Cost of the book =  x - 7.05 = 89.18 - 7.05 = Rs 82.13

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The actual area of Zahra's office is 50ft².

Proportions are used to solve scale problems using the rule of three.

The drawing is scaled from 6 cm to 15 ft, which means that each 6 cm represents 15 ft of real dimensions.

The length in the drawing is 4 cm, so:

Cross multiplication is used:

Her actual office measures are 10 feet long.

The width is 2 cm, so:

Cross multiplication is used:

Her actual office measures are 5 feet wide.

Formula of area: l × b

Therefore, the actual area of Zahra's office is 50ft².

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The length of the side is 10√2 cm.

To solve this problem we need to know the concepts of area of plane figures.

We know the  area of a square is the square of its sides.

Now, the given data says that the area of a square game board is 200  sq.cm.

Let the side of the square be a cm.

According to question,

    a × a=200

⇒ a² = 200

⇒ a = √200

∴ a = 10√2 cm

So, the length of one side of the square game board is  10√2 cm.

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The y-intercept of a graph is the point, where the graph crosses the y-axis. and The graph with the given details is graph (c).

According to the statement

We have to find that the correct graph which represent the domain.

So, For this purpose, we know that the

The domain of a function is the set of all possible inputs for the function.

From the given information:

The function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4).

Then

we have given a four graphs as a option which are in the image below after seeing that we know that the:

From the list of given options. graph (d) includes a y intercept of two, because it crossed the y-axis at y = 2.

So, graph (d) can not be the desired graph

And then

Graph (a) features a domain of: (–∞, –5)

So, graph (a) can't be the desired graph

And then

The domain of graph (b) is [-3,3]

So, graph (b) can't be the desired graph.

Hence, the required graph is graph (c).

So, The y-intercept of a graph is the point, where the graph crosses the y-axis. and The graph with the given details is graph (c).

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Answer:

True it is because my expenses is more than my income

Answer:

14.832

Step-by-step explanation:

I hope this helps good luck

By dimensional analysis and the conversion factor between feet and yards, we find that a square yard is equal to a quantity of 3² square yard, that is, a quantity of 9 square feet. (Correct choice: C)

In accordance to dimensional analysis, area units are equal to the square of length units, that is, length unit multiplied by length unit. That is:

[A] = [L] × [L] = [L]²

Where:

L - Length unit

A - Area unit

If a yard is equal to a quantity of three feet, both length units, then a square yard is equal to a quantity of 3² square feet, that is, a quantity of 9 square feet, both area units. Therefore, we can construct the following conversion factor:

1 square yard = (3 feet)² = 9 square feet

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is there an image ? or just question

The parent function of the function y =  2x² - 6 is y = x². The explanation about transformation is given.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We have the quadratic function,

y = 2x² - 6

To find the parent function:

Add

y(x) = 2x²

Divide by 2

y(x') = x²

If there is a horizontal or vertical shift, reflection around the x-axis or y-axis, or vertical stretch, the transformation may be found by comparing the equation to the parent function.

Parent Function:

y = x²

Horizontal Shift: None

Vertical Shift: Down 6 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

Therefore, the parent function is y =  x².

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