(14x – 13)
(4x + 13)
(6x + 2)

(14x 13)(4x + 13)(6x + 2)

Answers

Answer 1

Answer:

x = 7.416666667

Step-by-step explanation:

Set everything equal to 180 (the total # of degrees in a triangle)

180 = 14x-13 + 4x+13 + 6x+2

Combine the variables

180 = 24x - 13 + 13 + 2

Do the math

180 = 24x +2

178 = 24x

x = 7.416666667

Answer 2

A variable is, to put it simply, a quantity that can be altered and is not fixed. If the variables be (14x – 13), (4x + 13) and (6x + 2) then the value of x exists 7.416666667.

What is meant by variables?

An unknown numerical value in an equation or algebraic expression is represented by a symbol (typically a letter) in algebra. A variable is, to put it simply, a quantity that can be altered and is not fixed.

Let the variables be (14x – 13), (4x + 13) and (6x + 2).

Set all values to 180 (the sum of the triangle's degrees).

180 = (14x - 13) + (4x + 13) + (6x + 2)

180 = 14x - 13 + 4x + 13 + 6x + 2

simplifying the above equation, we get

180 = 24x - 13 + 13 + 2

180 = 24x +2

178 = 24x

Divide both sides of the equation by 24, we get

178/24 = 24x/24

x = 7.416666667

Therefore, the value of x = 7.416666667.

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Related Questions

Solve:
3/5 (15x - 20) = -6x + 4(x - 6)

Answers

Answer:

x = -12/7

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}\left(15x-20\right)=-6x+4\left(x-6\right)[/tex]

[tex]9x-12=-6x+4x-24[/tex]

[tex]9x-12=-2x-24[/tex]

[tex]9x-12+12=-2x-24+12[/tex]

[tex]9x=-2x-12[/tex]

[tex]9x+2x=-2x-12+2x[/tex]

[tex]11x=-12[/tex]

[tex]\frac{11x}{11}=\frac{-12}{11}[/tex]

[tex]x=-\frac{12}{11}[/tex]  or  [tex]x=-1.090[/tex]

Complete the statement relating solutions and roote

Answers

There as no problems to solve srry

Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.


a. Define your variables:


b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).


c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.


d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.

Answers

Answer:

The answer is Y=8.5+0.18x

Step-by-step explanation:

Given data

Let the flat fee be $8.5

Let the additional fee per ounce be $0.18

Let the total amount to mail the package be y

Therefore the total amount is

Y=8.5+0.18x

The function is Y=8.5+0.18x

how much money is 18 figures?

Answers

Answer:

2.

Step-by-step explanation:

I don't know if it is right but thats what i got. You didnt really give enough information for me to solve it.

We have that an 18 figure is a Quintilllion=10^{18}

18 figure=10^{18}

Quintilllion

From the question we are told  

How much money is 18 figures

Generally the denominations of money is   is mathematically given as

Hundred=100

Thousand=1000

Million=1000000

Billion=1000000000

Quintilllion=10^{18}

Therefore

Therefore and 18 figure is a Quintilllion=10^{18}

18 figure=10^{18}

Quintilllion

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Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?​

Answers

Answer:

Kennet 25,Andrew 15,Billy 30,Cameron 7

Step-by-step explanation:

Kenneth - 10+x,

Andrew - x,

Billy - 2x,

Cameron - x - 8,

10 + x + x + 2x + x - 8 =77

5x = 75

x = 15 (Andrew)

10+15= 25 (Kenneth)

2×15=30 (Billy)

15-8= 7 (Cameron)

Evaluate 3x−4 when x=7.

Answers

Answer:

It is 17

Step-by-step explanation:

Simplify the expression.

Answer:

17

Step-by-step explanation:

3(7)-4=17

In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.

Answers

Answer:

y = 28.1739x² + 45.6478x + 617.4879 ;

$3891.36

Step-by-step explanation:

Given the data above :

We can employ an online quadratic model calculator to create a quadratic model of the data:

Year(t) ____0 ____1 ____2 ____3 ____4 ____5 (P)-603.46_695.39_871.96_972.35_1224.53_1571.52

The quadratic function obtained is :

y = 28.1739x² + 45.6478x + 617.4879

Using the model ; the price of gold in 2016 will be :

X = 2016 = 10 years (2016 - 2006)

y = 28.1739(10)^2 + 45.6478(10) + 617.4879 = 3891.3559

Hence, the predicted price of gold in 2016 using the model will be $3891.36

It’s so easy I’m just dumb.
What is the slope of the line graphed below? (5,3) (-5,5)

Answers

Answer:

3

Step-by-step explanation:

but im not sure

Answer:

m = 4/5 (slope)

_____________________________

y = 4/5x - 1 (slope intercept)(y = mx + b)

- 4x + 5y = - 5 (standard form)(Ax + By = C)

y + 5 = 4/5(x + 5) (point slope)(y - y1 = m(x - x1))

Step-by-step explanation:

All you need to do is remember the equation for slope: m = y2-y1/x2-x1

Where your first point is (x1,y1), and your second point is (x2,y2), and m is slope(rate of change : change in y over change in x).

Your first point starts with the smallest x: (-5,-5), then your second point is the greater x: (5,3)

Then just substitute, and solve:

y2-y1/x2-x1 →

3-(-5)/5-(-5) = 3+5/5+5 = 8/10 = 4/5

Extra information:

point slope:

y-y1 = m(x-x1).

Where (x1,y1) is the first point, (x,y) is the second point, and m is the slope. (note: the second point does not have 2 as a subscript so it can be set to slope intercept(y = mx + b) as an equation. This is because you could be given one point, and a slope, and be told to find the other)

Then just plug the coordinates into the equation, and solve for the equation of this line.

Since we already know what the slope is, we can just solve for the general equation given one point:

y-y1 = m(x-x1)

y+5 = 4/5(x+5). (point slope)

y + 5 = 4/5x + 4

-5 -5

____________

y = 4/5x - 1

(slope intercept)

Given slope, another way to find the y intercept is to multiply the current x coordinate by the slope, and add it to the current y value.

given a point (5,3), and a slope of 4/5. The line will be y = slope × x + (y2 - (m × x2)),

y = 4/5 × x + (3 - (4/5 × 5))

y = 4/5x + (3 - 4)

y = 4/5x - 1

_________

PLZ HELP WITH THIS QUESTION
Three consecutive integers can be represented by n, n + 1, and n + 2. If the sum of three consecutive integers is 57, what are the integers?

Answers

Answer:

18, 19, 20

Step-by-step explanation:

Solve For 1/4 + 1/2 + x = - 3/4

Answers

Answer:

x= negitive 6/8

Step-by-step explanation:

Ok think about it 1/4 plus 1/2 is 3/4

so how do i go to negitives?

you double the amount of it and then minus it

because 3/4- 3/4 would be zero

so you have to double it to get that answer

have a wonderful day filled with only joy!

whats the answer ? and can you show your work if you dont mind me asking ?

Answers

Answer:

f(-1)=-2

Step-by-step explanation:

f(x)=-3x-5x^2

f(-1)=-3(-1)-5(-1)^2

f(-1)=-3(-1)-5(1)

f(-1)=3-5

f(-1)=-2

Use the following federal tax table for biweekly gross earnings of a single person to help answer the question below.
A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1.
Molly has biweekly gross earnings of $839.52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim?
a.
1
b.
2
c.
3
d.
4



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

Hi! The answer is actually C. 3

Step-by-step explanation:

I just did the practice and it said 3 was the answer:)

Based on the number of exemptions claimed by Selina and her biweekly gross pay, her state tax will be $16.80.

Here, we have,

given that,

from the given information, we get,

Selina is to pay 21% of her federal taxes.

Seeing as she claims a single exemption and falls in the $840 to $860 bracket, the table shows that her federal tax contribution would be $80.

State taxes are therefore:

= 80 x 21%

= $16.80

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olve each problem.
1) What is 50% of 114

Answers

Answer:

57

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

.50 times 114 = 57

A family daycare center charges a $75 enrollment fee and $100 per week for a child to attend. Write the linear equation to model this situation.

Answers

Answer:

100x+75=y

Step-by-step explanation:

Answer:

y=100x+75. Where y equals total cost and x equals numbers of weeks enrolled.

Step-by-step explanation:

75 is the upfront cost, aka the cost of zero weeks, this cost will never change and is a one-time payment, therefore it needs no variable. 100 is the cost per week which means every week costs 100 more dollars, this is why it must have a variable because it will change with time. They are added together because they both show the total cost and together will show how much one person is spending.

James types 90 words in 2 minutes. At this rate, how many words can james type in 15 minutes?

Answers

Answer:

Step-by-step explanation:

675 because its 45 words per minute x15 for the 15 minutes

You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Answers

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

8N+16.2 equals 1.6

help needed asap what do i do!!

Answers

Answer:

n=-0.425

Step-by-step explanation:

subtract 16.2 from both sides. divide 8 from both sides

Answer:

N= -1.825

Step-by-step explanation:

First, we must isolate the variable. So we can write 8N+16.2=1.6. Let's subtract 16.2 from both sides of the equal sign. So now we have 8N=-14.6. Now we have to only get N, so we must divide every side by 8. We do this to cancel out the 8 multiplying the N. We get N= -1.825. This is your answer!

I hope this helped you solve this problem and help you solve future problems!

11. Ellen borrowed $110 from her brother. He is charging 10% interest per year.
How much interest will she owe him if she repays him after 3 months?

Answers

Answer:

$3.00

Step-by-step explanation:

Answer with step-by-step explanation:

3 months is 1/4 of a year. We need to multiply $110 by 1/4, which is $27.5

Hope this was helpful!

y=7x−7z−9. Solve for x.

Answers

Answer:

x= < (y+9+7x)/7>

Step-by-step explanation:

first, add 9 to both sides of the equation. Then, subtract 7z on both sides and after that, divide by 7 for both sides.

Answer:

x=y+7z+9/7

Step-by-step explanation:

A = 1/2(a + b)h for h

Answers

The answer fam is....... H = 2A/a+b

what is negative one eighth of a number is -3/4 as an equation?
will name the brainliest!

Answers

Answer:

The equation is  [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

The Equation is formed from two sides equal to each other

In the algebraic statement "is" means equalIn the algebraic statement "of" means times (×)

∵ One eighth means [tex]\frac{1}{8}[/tex]

∴ Negative one eighth means  [tex]-\frac{1}{8}[/tex]

→ Assume that the number is x

∵ "of" means times

∴ Negative one eighth of a number = [tex]-\frac{1}{8}[/tex] × (x)

∴ Negative one eighth of a number = [tex]-\frac{1}{8}[/tex] x

∵ Negative one eighth of a number is [tex]-\frac{3}{4}[/tex]

→ "is" means equal, so the left side is [tex]-\frac{1}{8}[/tex] x and the right side is [tex]-\frac{3}{4}[/tex]

∴  [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex] ⇒ Equation

∴ The equation is  [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex]

Enter the decimal value positioned at point B.
-6
-5
3
-2
1
2.​

Answers

Answer:

im having the same problem

Step-by-step explanation:

If one x-value maps to many y-values, does the relation represent a function?

Answers

Answer:

No

Step-by-step explanation:

This is the general rule for any function, where a function cannot have more than one x value for every y value, there is only one output for every input.

You can also use the vertical line test which states that anything that hits the line more than once is not a function.

Given the definitions of f(x) and g(a) below, find the value of g(f(-3)).
f(x) = 2x + 6
g(x) = x² + x + 2

Answers

Answer: g

( 2x+6) = 4x^2+26x+44

Step-by-step explanation: Set up the composite function and evaluate. Hope this helps! :)

pls help

Which point lies on the line defined by y = 1/8 x + 3?​

Answers

Answer:

Step-by-step explanation:

put x=8

y=1/8×8+3=1+3=4

so point is (8,4)

put x=0

y=1/8×0+3=0+3=3

so point is (0,3)

to find more points put x=multiple of x and then find y.

It is known that 3 -y/2

Answers

Answer:

Ur question doesnt make sense

Step-by-step explanation:

0. A line has a slope of - 3/4 and a y-intercept of 3. What is the equation of the line?​

Answers

Answer:

y= -3/4x+3

Step-by-step explanation:

The general equation is y=mx+b with m representing the slope, and b representing the y-intercept. So if you are given the slope and y-intercept, you just plug those in for m and b respectively. Hope this helps!


There is a relationship between the expected number of tickets sold for points
a raffle and the dollar value of the prize for the roftle. The equation T. 7 =
150 describes this relationship, where is the expected number of tickets
sold, and is the dollar value of the roffle prize. Suppose the expected
ticket sales for a certain raffle ore 1550. Determine the dollar value of the
raffle prize

Answers

Answer:

200

Step-by-step explanation:

If the equation is T-7p=150, and 1550 tickets are sold, T would be equal to 1550. So the equation becomes 1550-7p=150. Add 150 to both sides to get 1400-7p=0. then add 7p to both sides to get 1400=7p. Divide by 7 to get 200=p

Someone help please ill mark brainliest

Answers

Answer:

The answer is 10

Step-by-step explanation:

you would the Pythagorean theorem, which is: A squared plus B squared equals C squared. C is always the longer side, also known as the hypotenuse and A and B ae the legs, or the two shorter sides.

Answer:

x = 10

Step-by-step explanation:

8^2+ 6^2 = c^2

64 + 36 = 100

Then square root 100

so x=10

HELP ME PLS PLS PLS

Answers

A. yes

B. Yes

C. No

Hope this helps :)

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