According to the banker's rule, if johnny makes $90,000 per year running his own auto shop, how
much can he afford to borrow on a mortgage for a new house?

Answers

Answer 1

The amount that Johnny can borrow on a mortgage for a new house, given the Banker's Rule is between $225,000 to $270,000.

How much can Johnny borrow ?

The Banker's Rule is a rule of thumb used to determine how much a person can afford to borrow on a mortgage. According to the Banker's Rule, a person should not borrow more than 2.5 to 3 times their annual income for a mortgage.

Using this rule, if Johnny makes $90,000 per year, he can afford to borrow between $225,000 to $270,000 on a mortgage for a new house. However, this is a rough estimate, and other factors such as credit score, debt-to-income ratio, and the lender's requirement also play a role in determining how much Johnny can borrow.

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Related Questions

1.4 ÷ 5.04
pls helpi neeed thsi rnrnnr

Answers

Answer:

0.27

Step-by-step explanation:

I hope this helps :)

1.101, 1.02, 1.1 least to greatest

Answers

1.02, 1.1, 1.01
this is the answer that I believe

Answer:

1.02, 1.1, 1.101

Step-by-step explanation:

use a calculator

3 pairs of jeans and 6 shirts costs 104.25 dollars. The cost of 4 pairs of jeans and 5 shirts is 112.15 dollars. Find the cost of each pair of jeans and each shirt?

Answers

Answer:

j=16.85

s=8.95

Step-by-step explanation:

j=jeans s=shirt

3j+6s=104.25

4j+5s=112.15

working:

3j+6s=104.25 dollars

4j+5s=112.15 dollars

(get j to be the same)

12j+24s=417 dollars

12j+15s=336.45 dollars

(subtract them)

9s=80.55 dollars

s=8.95 dollars

(substitute in)

(3 x j)+(6x8.95)=104.25 dollars

3 x j= 104.25-(6x8.95)

j=50.55/3 (50.55 divided by 3)

j=16.85 dollars

substitute in to double check

(3 x 16.85) + (6 x 8.95) = 104.25 dollars

check with the other equation and it works also, so that must be the values of j and s (jeans and shirt)

(4 x 16.85) + (5 x 8.95)=112.15 dollars

j=16.85

s=8.95

After surveying 995 adults, 81.5% of whom were over 30, the National Sleep Foundation reported that 36.8% of all the adults snored. Thirty-two percent of the respondents were snorers over the age of 30.What percent of respondents were under 30 and did not snore? Hint: Draw a Venn diagram to represent the region of interest.

Answers

A. 73.91% of respondents were under the age of 30 and did not snore.

B. Data show that snoring is not age-independent as most snorers are over 30 years of age.

A. The first step is to convert all percentage population groups into numbers. This helps make things clearer.

Total number of adults surveyed = 995 adults

Number of adults over the age of 30 = 81.5% of 995

                                                              = 81.5/100 × 995

                                                              = 810.925

                                    ≈ 811(part of the population can be counted).

Number of adults under 30 = 995 - 811 = 184 adults.

Number of all adults who snore = 36.8% of 995

= 36.8/100 × 995 ≈ 366 adults who snore

Of the total 995, 32% of the snorers were over 30 was.

Number of snorers over 30 × 995 ≈ 318 adults

Snorers under 30 = 366 - 318 = 48 adults

Number of under 30s recorded 30 - under 30 snorers

= 184 - 48 = 136

Converting this to percentage: 136/184× 100 = 73.91%

so 73

B. From the data, snoring is not independent of age as most of the people that snored were above 30 years. Snoring is related to the age. This is because that the most of the younger adults did not snore, while more of the older adults snored.

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what is the value of X

Answers

Answer:

x=17

Step-by-step explanation:

the sumof angles of triangle is 180

so 6x+10+x+17+4x-34=180

11x-7=180

11x=187

x=17

Answer:

x = 17

Step-by-step explanation:

Since we know the angles of a triangle add up to 180, we can make the equation:

6x + 10 + x + 17 + 4x - 34 = 180

Then, we add 34 to both sides and put like terms near each other:

6x + x + 4x + 10 + 17 = 214

Then, combining like terms and subtracting 27 from both sides gives us:

11x = 187

Divide both sides by 11 gives us:

x = 17

So, the value of x = 17.

Hope this helped!

Please give Brainliest if possible!

Alright I've tried everything to try and do this but I'm still struggling. Help. Find the value of x (32 points clear explanation, please)

Answers

Answer:

C.  37.5

Step-by-step explanation:

From inspection of the given triangle, we can see that the straight line that divides the triangle into two smaller triangles is an angle bisector since it divides the angle into two congruent angles.

Angle Bisector Theorem

An angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

[tex]\implies x:15=40:16[/tex]

Solve for x:

[tex]\implies \dfrac{x}{15}=\dfrac{40}{16}[/tex]

[tex]\implies \dfrac{x}{15}=2.5[/tex]

[tex]\implies x=2.5\times 15[/tex]

[tex]\implies x=37.5[/tex]

Leaks occur in a pipeline at a mean rate of 1 leak per 1,000 meters. in a 2,500-meter section of pipe,(a) using the poisson approximation to the binomial, what is the probability of no leaks?

Answers

The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.

The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.

1. Calculate the expected value (μ) for the Poisson Distribution:

μ = λ × t = (1 leak per 1,000 meters) × (2,500 meters) = 2.5

2. Calculate the probability of no leaks using the Poisson Distribution:

P(X=0) = e-μ × (μ^0/0!) = e-2.5 × (2.5^0/0!) = 0.857

The probability of no leaks in a 2,500-meter section of pipe using the Poisson approximation to the binomial is 0.857.

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In angleABC, G is the centroid and GE=4. Find AG.

Answers

keeping in mind that a centroid cuts all medians at a 2 : 1 ratio, meaning that the median AE gets cut on a 2 : 1 ratio, meaning AG : GE = 2 : 1, Check the picture below.

Beth and Carly are selling candy bars to raise money for New cheerleading uniforms Beth has sold one less than twice the number of candy bars that Carly has sold if they have sold 188 candy bars and all how many has Beth sold

Answers

The number of candy bars that Beth has sold, given the total they have sold and the amount sold by Carly, is 125 candy bars

How to find the number of candy bars sold ?

To find the number of candy bars that Beth has sold, you can assume that the amount of candy sold by Carly is denoted as x.

This means that the amount of candy bars sold by Beth is:

= 2x - 1

The total sold by both Beth and Carly is therefore:

= 2x - 1 + x

The number of candy bars sold by Carly is:

188 = 2x - 1 + x

188 = 3x - 1

3x = 188 + 1

x = 189 / 3

x = 63

This means that the candy bars sold by Beth is:

= 2 ( 63 ) - 1

= 126 - 1

= 125 candy bars

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express the recurring decimal 1.52 as a fraction in its simplest form (the 5 and 2 being reccuring)

Answers

Answer:

x=151/99

Step-by-step explanation:

x=1.525252

100x= 152.525252

-x=1.525252

99x=151

x=151/99

PLEASE TELL ME HOW TO GRAPH THIS! (if u send a photo draw over my photo as it is easier) please answer asap!

Answers

Step-by-step explanation:

You will get the x and y interceptions by substituting. To make it easier, put x=0 , 3, -3 and solve the equation.

Hope this helps you.

sorry its really sloppy (im on my phone.) basically, start at 5 on the y axis (the "b" in your formula is the y axis), and then follow your slope. it's a negative, so we are going to go down by 1 (nominator) and then to the right 3 (denominator).

The following data give the total food expenditures (in dollars) for the past one month for a sample of 20 families. 1112 530 1225 583 424 869 1480 682 1282 1197 921 1114 723 1062 922 1630 1043 2165 1353 457 a. Calculate the values of the three quartiles and the interquartile range. Q1

Answers

As per the box plot diagram, the values of the three quartiles is 1254 and the interquartile range is 560.75

The term box plot in math is defined a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

Here we have given that following data give the total food expenditures for the past one month for a sample of 20 families.

And by using the given data, we have to plot the box plot then we get the following diagram,

By using the diagram, we have identified the following values,

Population size: 20

Median: 1055.5

Minimum: 427

Maximum: 2199

First quartile: 703.25

Third quartile: 1254

Interquartile Range: 560.75

Outlier: 2199

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suppose the probability of a successful long hit is 0.4. which approach, the short hit or the long hit, is better in terms of improving the expected value of the score? justify your answer.

Answers

The required expected value of the score is 4.92.

What is Probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to question:

A long hit with success has a 0.4 chance of happening. The following formula can be used to determine which strategy—the short hit or the long hit—will improve the expected value of the score:

Expected value of long hit = P(successful hit)4.2 + P(unsuccessful hit)5.4

= 0.4×4.2 + (1 - .04)×5.4

= 4.92

Thus, required score is 4.92.

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audrey is designing a new board game, and is trying to figure out all the possible outcomes. how many different possible outcomes are there if she flips a coin, rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

There are 48 different possible outcomes.

The total number of possible outcomes in a scenario like this is determined by finding the product of the number of possible outcomes for each individual event.

Independent events are events that are not affected by each other and have no influence on each other's outcome. The probability of two independent events occurring together is the product of their individual probabilities.

When flipping a coin, there are 2 possible outcomes (heads or tails).

When rolling a fair die with 4 sides, there are 4 possible outcomes (1, 2, 3, or 4).

When rolling a fair die with 6 sides, there are 6 possible outcomes (1, 2, 3, 4, 5, or 6).

To find the total number of possible outcomes, we multiply the number of outcomes for each event:

2 * 4 * 6 = 48

Therefore, there are 48 different possible outcomes.

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Compare negative two and three tenths repeating and negative eight thirds using symbols <, >, or =.

negative two and three tenths repeating is less than negative eight thirds
negative two and three tenths repeating is greater than negative eight thirds
negative eight thirds is equal to negative two and three tenths repeating
negative eight thirds is greater than negative two and three tenths repeating

Answers

Negative two and three tenths repeating is greater than negative eight thirds.

What are inequalities ?

Inequalities in mathematics is when comparing two non equal quantities.

if a is greater than b we write a>b (3>2) and -a<-b (-3<-2)

a=3 and b =2

In the given question

We have to compare   and

=   = -2.3

= -2.6

So, from this we can say than -2.3 is greater than -2.6

⇒ -2.3 > - 2.6

Find a curve in the xy-plane that passes through (0,3) and whose tangent line at a point
(x,y) has slope 2x/y^2
.

Answers

The equation of the curve in the XY-plane that passes through (0,3) and whose tangent line at a point (x,y) has slope 2x/y^2 is y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant.

The equation of a curve in the xy-plane is given by F(x,y) = 0. To find such a curve that passes through the point (0,3) and whose tangent line at a point (x,y) has a slope of 2x/y^2, we can use the method of implicit differentiation.

First, we can find the equation of the tangent line at a point (x,y) on the curve by computing the derivative of F(x,y) with respect to x and setting it equal to 2x/y^2. This gives us:

F_x(x,y) = 2x/y^2

Next, we can use the fact that the curve passes through the point (0,3) to set up the following equation:

F(0,3) = 0

Solving for F(x,y) in terms of x and y and substituting in the equation for F_x(x,y) gives the implicit equation of the curve is

y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant

This is the equation of a curve in the XY-plane that passes through the point (0,3) and whose tangent line at a point (x,y) has a slope of 2x/y^2.

Therefore, The equation of the curve in the XY-plane that passes through (0,3) and whose tangent line at a point (x,y) has slope 2x/y^2 is y^2 = 2x*F(x,y) or y^2 = 2x*F(x,y) + C where C is constant.

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250 college students were surveyed about if they liked the food choices offered by the cafeteria. 140 people said that they did like the choices offered. what percentage of the students like the food offered? fill in the blank 1%

Answers

So, on solving the provided question we can say that Percent = 140/250 x100 = 56%

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

A percentage is a ratio of one unit of an event's result to the entire sample multiplied by 100%. It denotes parts per 100. We divide the percentage of the sample that liked the options by the total sample to arrive at the calculation. As a result, we compute:

Percent = 140/250 x100 = 56%

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Find the value of x. Round your answer to the nearest tenth. ​

Answers

Answer: 35.1

Step-by-step explanation:

Note that the altitude to the hypotenuse splits the hypotenuse into segments of lengths 16 and 28.

Using the geometric mean theorem, the length of the altitude to the hypotenuse is [tex]\sqrt{16(28)}=8\sqrt{7}[/tex].

Using the Pythagorean theorem, [tex]x=\sqrt{(8\sqrt{7})^2 +28^2} \approx 35.1[/tex].

The population of a small farming community is declining at a rate of 7% per year. The decline can be expressed by the exponential equation P=C(1-0.07)^t, where P is the population after t years and C is the current population. If the population was 8,500 in 2004, when will the population be less than 6,000.

Answers

The number of years after which the population is less than 6000 is 5 years.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation

We have,

The rate at which the population is decreasing per year = 7%.

The equation for the number of population after t years.

P = C [tex](1 - 0.07)^t[/tex]

Now,

After 5 years,

P = 8500 [tex](1 - 0.07)^5[/tex]

P = 8500 x [tex]0.93^5[/tex]

P = 8500 x 0.69

P = 5865

The population after 5 years is 5865 which is less than 6000.

Thus,

After 5 years the population will be less than 6000.

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Calculate a5 for the geometric sequence in which a1=8 and the common ratio is 1.5.

Answers

Answer:

[tex]\boxed{a_5 = 40.5}[/tex]  

Step-by-step explanation:

Common ratio r of a geometric sequence is the ratio of each term to the previous term and is a constant

Thus if you have a sequence a₁, a₂, a₃, a,...
[tex]r = \dfrac{a_2}{a_1} = \dfrac{a_3}{a_2} = \dfrac{a_4}{a_3} \cdots[/tex]

For a geometric sequence with common ratio [tex]r[/tex] and a starting value of [tex]a_1[/tex]the nth term is given by the formula:
[tex]a_n = a_1r^{n-1}[/tex]

Here [tex]a_1 = 8, r = 1.5[/tex]

and we are asked to find the 5th term

[tex]a_5 = 8 \times 1.5^{(5-1)}\\\\= 8 \times 1.5^4\\\\=40.5\\\\[/tex]ANSWER

The terms of the sequence are
8, 12, 18, 27, 40.5 with 8 being the first term and 40.5 the 5th term

The product of two rational numbers is ___ number because multiplying two rational numbers is equivalent to the ratio of ___, which is ___ number.


complete the hypothesis about the product of two rational numbers.

Answers

The product of two rational numbers is a rational number.

In any field containing integers, rational numbers, along with addition and multiplication, produce a field that also contains the integers. In other words, a field only has characteristic zero if and only if it contains the field of rational numbers as a subfield. The field of rational numbers is a prime field.

"A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator 'p' and a non-zero denominator 'q'."

Therefore, when we are multiplying two rational numbers, their product must be a rational number.

This is because, numerators of both rational numbers are integers and denominators of both the numbers are non-zero integers.

Hence, the product is a rational number.

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will give brainly thanks

Answers

The domain and range for the function W = 15T + 400 is domain = set of all real numbers from 0 to 90 and range = set of all real numbers from 400 to 1750.

What is the range and domain of a function?

A function's range includes all conceivable values for y. Y = f(x) is the formula to determine a function's range. It is only a function in a relation if each x value has exactly one y value.

The collection of all potential inputs for a function is its domain.

The function for Total amount of water in the tank is given as -

W = 15T + 400

Where, T is the total number of minutes when the water is added.

So, according to the definition of range and domain -

T = domain = Number of minutes when the water is added

W = range = Total amount of water in the tank

W was a function of T for the next 90 minutes.

So, the domain will be the set of all real numbers from 0 to 90.

At, T = 0 -

W = 15(0) + 400

W = 400

At, T = 90 -

W = 15(90) + 400

W = 1350 + 400

W = 1750

So, the range will be set of all real numbers from 400 to 1750.

Therefore, the domain and range is (0,90) and (400,1750) respectively.

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Add. Write the expression in standard form. (−2f2−3f−5)+(−2f2−3f+8)

Answers

The standard form of the given expression is -4f²-6f + 3. The algebraic operation is addition.

What is an expression?

An expression, also known as an algebraic expression, is a mathematical statement made up of numbers, variables, and an arithmetic operation between them. For example, 4a - 5 is an expression in which the terms 4m and 5 are separated by the arithmetic sign - and a is the variable of the given expression.

Like terms in mathematics are summands in a sum that differ only by a numerical factor. By adding their coefficients, similar terms can be regrouped. Like terms in a polynomial expression are those that have the same variables to the same powers, but with different coefficients.

Given expression is

(-2f² -3f -5) + (-2f² -3f + 8)

Open the parenthesis:

= -2f² -3f -5 -2f² -3f + 8

Combine like terms:

= (-2f²  -2f²) + (-3f -3f) +(-5+8)

= -4f² -6f -3

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consider a sample with data values of 27,25 ,20 , 15,30 ,34 ,28 , and 25. which boxplot most accurately represents these data?

Answers

Answer:

Step-by-step explanation:

To make a boxplot, we need to know the minimum, Q1, median, Q3, and maximum.

The minimum is the smallest value: 15

The maximum is the largest value: 34

The median is found by arranging the numbers from smallest to largest and finding the middle point:

15, 20, 25, 25, 27, 28, 30, 34; there is not an exact middle here so we take the two middlemost points and divide by 2: 25+27/2 = 52/2 = 26

Q1 takes the numbers to the left of the median and finds the middle of those points. 15, 20, 25, 25. Again, there is no exact middle, so we use the same method as above. 20+25/2 = 22.5

Q1 takes the numbers to the right of the median and finds the middle of those points. 27, 28, 30, 34. Again, there is no exact middle, so we use the same method as above. 28+30/2 =  29

Now, use these points to construct!

Answer:

BOX 2

Step-by-step explanation:

look at the photo

Find K so that 4x+3 is a factor of 20x^3+23x^2-10x+k

Answers

In the expression, the value of K is - 12.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ 4x + 3 is a factor of 20x³ + 23x² - 10x + k.

We know that;

If 4x + 3 is a factor of 20x³ + 23x² - 10x + k, then, the value of x satisfy the given equation.

Hence, We get;

The value of x is,

⇒ 4x + 3 = 0

⇒ x = - 3/4

Substitute value of x in given equation, we get;

⇒ 20x³ + 23x² - 10x + k = 0

⇒ 20(-3/4)³ + 23(-3/4)² - 10(-3/4) + k = 0

⇒ - 540/64 + 207/16 + 30/4 + k = 0

⇒ (- 540 + 828 + 480 + 64k) / 64 = 0

⇒ 768 + 64k = 0

⇒ 64k = - 768

⇒ k = - 768 / 64

⇒ k = - 12

Thus, The value of k = - 12

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Cup holds 8 oz and a glass holds 6 oz. Calculate the total intake (mL) for the patient: 1/2 cup of orange juice, 2/3 glass of milk, full cup of lemonade, full glass of water, 1 popsicle (3 ounces) and 4 ounces ice chips.

Answers

According to the given measurement, the total amount of intake is 621.0435 ml

Here we have given the following measurements they are listed as follows:

=> 1/2 cup of orange juice,

=> 2/3 glass of milk, full cup of lemonade,

=> full glass of water,

=> 1 popsicle (3 ounces) and

=> 4 ounces ice chips.

Here we also know that

1 cup = 8 oz

1 glass = 6 oz

And as per the Si measurements,

1 oz = 29.5735 ml.

To order to calculate the total amount of intake we have to sum all the given measurements, then we get,

=> 1/2(8) + 2/3(6) + 6 + 3 + 4

When we simplify this one then we get,

=> 4 + 4 + 6 + 3 + 4 = 21

Now, we have to convert ounce into milliliter, for that we have multiply 29.5735 with the total measurement, then we get,

=> 21 x 29.5735 = 621.0435 ml

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Translation: find the right coefficients to put in front of the molecules so that these balance equations respect the rule of conservation of atoms

Please answer quick

Answers

The balanced chemical equations, of the combustion reactions found by plugging in the right coefficients in front of the molecules according to the rules of conservation of atoms are;

1) 2C + 2O₂ ⇒ 2CO₂

2) CH₄ + 2O₂ ⇒ CO₂ + 2H₂O

3) 2C₄H₁₀ + 13O₂ ⇒ 8CO₂ + 10H₂O

What is a combustion reaction?

A combustion reaction is one in which a combustible substance reacts with an oxidizer such as oxygen, to become oxidized.

1) 2C + ...O₂ ⇒ CO₂

The number of carbon atoms in the reaction side of the equation is 2, and the number of oxygen atoms in the reaction side are 2

In the product side of the equation, we get;

The number of carbon atoms = 1

The number of oxygen atoms = 2

The ratio of the number of oxygen atoms in the reaction side to the number of oxygen atoms in the product side = 1 : 1

The ratio of the number of carbon atoms in the reaction side to the number of oxygen carbon in the product side = 2 : 1

Multiplying the O₂ by 2 and the CO₂ by 2, we get;

2C + 2O₂ ⇒ 2CO₂

2) CH₄ +... O₂ ⇒ CO₂ + ....H₂O

Reaction side;

Number of carbon atoms = 1

Number of hydrogen atoms = 4

Number of oxygen atoms = 2

Product side;

Number of carbon atoms = 1

Number of hydrogen atoms = 2

Number of oxygen atoms = 3

Set the coefficient of O₂ as 2, and the coefficient of H₂O as 2, we get;

CH₄ + 2O₂ ⇒ CO₂ + 2H₂O

The above equation is balanced

3) 2C₄H₁₀ + ...O₂ ⇒ ...CO₂ + ....H₂O

Reaction side;

Number of carbon atoms = 8

Number of hydrogen atoms = 20

Number of oxygen atoms = 2

Product side;

Number of carbon atoms = 1

Number of hydrogen atoms = 2

Number of oxygen atoms = 3

Multiply the O₂ by 13, the CO₂ by 8, and the H₂O by 10, we get the balanced equation as follows;

2C₄H₁₀ + 13O₂ ⇒ 8CO₂ + 10H₂O

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For a particular circle, a central angle of 75 degrees will intercept an arc of length 10pi feet. What is the radius of this circle?

Answers

The radius of the circle is 48 feet.

Circle:

The round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

The arc length of a circle is given by the formula arc length = (angle/360) * 2 * pi * radius.

In this case, the angle is 75 degrees, and the arc length is 10* pi feet.

So, we can set up the equation: (75/360) * 2 * pi * r = 10 * pi

Solving this equation for the radius, we get: r = (10pi) / ( (75/360) * 2 * pi) = (10360) / 75 = 48 feet. So, the radius of the circle is 48 feet.

To learn more about the radius of the circle, refer to the link:brainly.com/question/28946570

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HELP ITS DUE IN 10 MINS

(05.01 MC)
An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove the diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted. (10 points)

30 POINTS

Answers

Answer:

Step-by-step explanation:

To prove that the diagonals of an isosceles trapezoid are congruent, we will first define the terms and draw a diagram of the isosceles trapezoid.An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles.Let's call the isosceles trapezoid ABCD and let the parallel sides be AB and CD, and the congruent legs be AD and BC. Let the diagonals be AC and BD.Since, AD and BC are congruent legs, therefore ∠BAD = ∠CAD by the definition of congruent legs.And since ABCD is a trapezoid, therefore, AB || CD and therefore, ∠BAD = ∠CBD, due to alternate angles are congruent.Therefore, ∠CAD = ∠CBD, by CPCTC (corresponding parts of congruent triangles are congruent)AC = BD , since both are congruent by ASA (angle-side-angle) congruence.Thus, the diagonals of an isosceles trapezoid are congruent.

Noah has a coupon for 30% off at this favorite clothing store. he uses it to buy a hoodie and a pair of jeans.
a. noah paid $28 for the jeans after using the coupon. what is the regular price of the jeans?
b. the regular price of a hoodie is $27. what did noah pay for the hoodie?
c. if the regular price of an item is x dollars, what is the discount price in dollars?

Answers

Answer: ur mom

Step-by-step explanation: is so pretty

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