1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x - 4. What is the length of AB?

2. Point E lies on line DF. DE is represented by the expression 2x - 8. EF is represented by the expression 2x - 4. If DF = 36 inches, what is the length of DE? What is the length of EF?

Answers

Answer 1
For number 1.
Since AB + BC = AC
Then
-12x + 11 - 8x -4 = 127
-20x + 7 = 127
X = -6

Ab would then equal 83

Related Questions

What percent of data set is represented in Q1

Answers

It is 25% because it is 1/4 which is a quarter. 

a vertical pole 10 meters high, casts a shadow 8 meters long. at the same time, a nearby tree casts a shadow 40 meters long. find the height of the tree in meters

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 - The vertical pole is10 meters high and casts a shadow 8 meters long.
 - The tree casts a shadow 40 meters long. 

 2. Then, by similarity, you have:

 x/10=40/8
 8x=(10)(40)
 8x=400
 x=400/8
 x=50 meters

 3. Therefore, as you can see, the answer is: The height of the tree is 50 meters.

In which quadrant of the coordinate plane is (-2a - 3, -3b - 5), if a = -3 and b = 3?

Answers

(-2a - 3, -3b - 5), if a = -3 and b = 3

- 2a - 3 = -2(-3) - 3 = 6 - 3 = 3
-3b - 5 = -3(3) - 5 = -9 - 5 = -14

(3, -14)

answer: 
quadrant IV

After substituting a = -3 and b = 3 into the point (-2a - 3, -3b - 5), we get the point (3, -14), which lies in the fourth quadrant of the coordinate plane.

To determine in which quadrant of the coordinate plane the point (-2a - 3, -3b - 5) is located, we substitute the values a = -3 and b = 3 into the coordinates. First, for the x-coordinate we have:

-2(-3) - 3 = 6 - 3 = 3

And for the y-coordinate:

-3(3) - 5 = -9 - 5 = -14

The resulting point is (3, -14), which is located in the fourth quadrant because the x-value is positive and the y-value is negative.

PLS HELP ME ASAP WITH THESE! THANKS!!

(Brainliest will be given hopefully)

(Random answers gets moderated.)

Answers

1. Answered previoiusly.

2. Whenever you're counting things, the appropriate set of numbers to use is "whole numbers." Both people (domain) and devices (range) are objects being counted, so the appropriate choices are ...
  2) whole numbers

A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman. Another flower is then chosen at random and given to a different woman. What is the probability that both flowers are pink roses?

Answers

5+4+6=15 2/15=.133333 or 13% or 2/15
 4/15·3/14 = 0.057 so it's b.) 0.057

What is y+7/7y÷3y^2+21y/14y−5 simplified?

Answers

This becomes...........

[(y+7)/7y] x [(14y-5)/(3y^2+21y)]= [(y+7)/7y] x [(14y-5)/3y(y+7)]= [1/7y] x [(14y-5)/3y]= [(14y-5)/21y]


A technician is launching fireworks near the event of a show. Of the remaining 11 fireworks, 4 are blue and 7 are red. If she launches 6 of them what’s the probability that 2 of them will be blue

Answers

[tex] \displaystyle
|\Omega|=\binom{11}{6}=\dfrac{11!}{6!5!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\
|A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\
P(A)=\dfrac{6}{462}=\dfrac{1}{77}\approx1\% [/tex]

Ok My last 2 questions please!!!

Answers

f(x) = (x-4)/(x(x-4)) = 1/x

the asymptote of the function is 0

If the exchange rate changes from​ $1.45 = 1 euro to​ $1.37 = 1​ euro, then

Answers

the euro has depreciated and the dollar as appreciated

What happens to correlation if you multiply every x in the data set by .5?

Answers

it'll go positive but for every number or goes half way

The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

Answers

we know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units

write an inequality for the following situation
No more than 8 books are in your bag
A. x ≤ 8 B. x < 8 C. x ≥ 8 D. x > 8

Answers

No more means less or equal.So, correct answer is A. x ≤ 8 .

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\

Answers

The diagonal of the tv screen is given by:
 d = root ((w) ^ 2 + (h) ^ 2)
 Where,
 w: width
 h: height
 In addition we have the following relationship:
 h / w = 8/15
 Thus,
 For the width:
 d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 For the high:
 d = root (((15/8) h) ^ 2 + (h) ^ 2)
 Answer:
 
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
 
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 
d = root (((15/8) h) ^ 2 + (h) ^ 2)

A pizza shop offers 12 different topping choices. if you order a large pizza with two toppings, how many possibilities would you have?

Answers

This is the concept of combinations, the solution to our question will be:
The number of combinations of 12 things take 2 at a time is
12C2
=(12!)/[(12-2)!2!]
=(12!)/(10!*2!)
=12*11/2
=66

Answer: 66

You and your friend Sam are going to paint your 300 square feet room together.
Sam takes 10 minutes to paint 25 square feet.
You take 5 minutes to paint 25 square feet.
Sam says, "If we paint together, then it will take us 15 minutes to paint 50 square feet!''
Write a EXCEPTIONAL explanation to convince Sam that he is wrong. Thank You.

Answers

Fraction that Sam painted in 1 min is:
10/25=2/5
Fraction that you painted in 1 min:
5/25=1/5

Fraction pained by both in 1 min:
1/5+2/5=3/5 ft²/min
Time taken to paint 50 ft² will be:
time=3/5×50=30 min
Thus we conclude that Sam was wrong.

The ratio of men to women working for a company is 4 to 5. if there are 52 men working for the company, what is the total number of employees?

Answers

4:5 means that 52/4= 13 and 13 x 5=65 so there are 65 female employees so when you add 52+65=117
so 117 employees

Write the first 6 terms of an arithmetc sequence if the first number is 9 and the common diffrence is 5

Answers

[tex]a_1=9\\d=5\\\\a_n=a_1+(n-1)d\\\\a_n=9+(n-1)\cdot5\\\\a_n=9+5n-5\\\\a_n=5n+4\\\\a_1=9\\a_2=5\cdot2+4=14\\a_3=5\cdot3+4=19\\a_4=5\cdot4+4=24\\a_5=5\cdot5+4=29\\a_6=5\cdot6+4=34[/tex]

hELPP

A total of 300 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adults tickets sold. How many adult tickets were sold?

Answers

75 Adults
225 Students

You can get this information using this system of equations:

x + y = 300
x - 3y = 0

By setting up and solving an equation, it was determined that 75 adult tickets were sold for the school play.

To solve the problem of determining how many adult tickets were sold for the school play, we can set up an equation. Let's represent the number of adult tickets sold as A, and since the number of student tickets sold was three times that of adult tickets, we can express the student tickets sold as 3A. We know the total tickets sold were 300, so the equation to represent this scenario is:

A + 3A = 300

Combining like terms, we get:

4A = 300

Dividing both sides of the equation by 4 to solve for A gives us:

A = 300 / 4

A = 75

Therefore, 75 adult tickets were sold.

An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer?

Answers

The probability is 8/18 or 44%.


Since there are 3 sculptors and 5 photographers, and the question is asking for either a sculptor or photographer, you add them together. There are a total of 18 artists, and the probability is the chance of a certain thing happening over the total amount of things that can happen (i.e. a coin landing on heads is 50%).

The answer would be 8/18.

8/18
3+5=8
18 is the total number of artists. 

1. What is the value of x in the equation –6 + x = –2?



A. 4

B. –8

C. 8

D. –4

2.

How many solutions does the equation –3a + 3a + 6 = 7 have?



A. Infinitely many

B. Two

C. One

D. None

3.

What is the solution to the equation 1.2m – 0.8 = –2.0m?



A. m = 0.25

B. m = 4

C. m = 1

D. m = 0.4

4.

How many solutions does the equation 4p + 7 = 3 + 4 + 4p have?



A. Two

B. Infinitely many

C. None

D. One

5.

What is the value of y in the equation 2(2y – 12) = 0?


A. 4

B. 8

C. 7

D. 6

6.

What is the value of z in the equation 2(4z – 9 – 7) = 166 – 46?



A. 19

B. 34

C. 26

D. 21

7.

Which of these is a simplified form of the equation 7y + 7 = 9 + 2y + 2y?



Answers

1. A. Add 6 to both sides to solve. 

2. D. If you simplify the a terms you will get 6 = 7 which is never true. 

3. A. Subtract 1.2m from both sides and then divide to solve. 

4. B. If you simplify you get 7 = 7 which is always true. 

5. D. Distribute the 2 and then add the 24 to both sides. Then divide to solve. 

6. A. Simplify the right side and then divide all by two. Then add 16 to both sides and divide by 4. 

7. 3y - 2

Find the possible values of the included angle of a triangle with: A) sides of length 5 cm and 8 cm, and area of 15 cm^2
B) sides of length 45 km and 53 km, and area 800 km^2.

Answers

we know that

The area of ​​a triangle can be calculated by applying the law of sines

Area=(1/2)*a*b*sin C-----> sin C=2*A/[a*b]

Part a) sides of length 5 cm and 8 cm, and area of 15 cm^2
a=5 cm
b=8 cm
A=15  cm²
sin C=2*A/[a*b]------> sin C=2*15/[5*8]----> sin C=3/4
C=arc sin (3/4)-----> C=48.59 degrees
the possible values of the included angle are
C1=48.59°
C2=180°-48.59----> C2=131.41°

the answer Part a) is
48.59° and 131.41°

Part b) sides of length 45 km and 53 km, and area 800 km^2
a=45 km
b=53 km
A=800 km²
sin C=2*A/[a*b]-----> sin C=2*800/[45*53]----> sin C=0.6709
C=arc sin (0.6709)-----> C=42.13°
C1=42.13°
C2=180-42.13°----> C2=137.87°

the answer part b) is
42.13° and 137.87°

Use Euler’s Formula to find the number of edges in a polyhedron with seven faces: two pentagons and five rectangles.

Answers

To determine the number of edges in a polyhedron with seven faces, two being pentagons and five being rectangles, you apply Euler's formula, resulting in a total of 15 edges.

To find the number of edges in a polyhedron with seven faces using Euler's formula, which is V - E + F = 2, we first need to determine the number of vertices (V) and faces (F) of the polyhedron.

Given that the polyhedron has two pentagons and five rectangles, we can calculate the total number of vertices. Each pentagon has 5 vertices and each rectangle has 4, but since rectangles share sides, some vertices will be counted twice.

Therefore, for the rectangles, we should calculate the vertices as if there were four distinct ones and then subtract the overlaps. Assuming all rectangles share exactly one side with its adjacent, we would have 4 vertices for each rectangle minus 2 for each shared side, resulting in 2 vertices per rectangle.

With five rectangles, that's 10 vertices, plus the 10 from the two pentagons, we get 20 vertices in total. Now, we apply Euler's formula: V - E + F = 2, substituting the values:

E = V - F + 2
E = 20 - 7 + 2
E = 15

Therefore, the polyhedron has 15 edges. .

What is compound interest?
A - the interest earned on the principal of an investment
B - the interest earned on both the principal and interest of an investment or savings account
C - the interest earned on a mutual fund
D - the interest earned on a loan

Answers

That would be B .  The interest  is earned on the principal and interest earned previously.

The correct answer is

The interest  is earned on the principal and interest earned previously

:)

Prove that x²+6x+18 is always greater than

[tex]2 - \frac{1}{x} [/tex]

For any value of x.

Answers

One way to solve this would be to graph both y=x^2+6x+18 and y=2 - 1/x.  If the graph of the polynomial is always higher up (above) the graph of y=2-1/x, that alone is sufficient cause to state that the poly is always greater than 2-1/x.

You could also do this algebraically:  write the inequality

x^2+6x+18 > 2 -1/x.  This can be rewritten as x^2+6x+18-2+1/x > 0, or
                                                                         x^2+6x+16+1/x > 0

Try x=-3.  Then 9-18+16-1/3 = 6 2/3, which is greater than 0.

Or you could graph x^2+6x+16+1/x by hand or on a calculator.  Is the graph always above the x-axis?  If so,  x²+6x+18 is always greater than 2-1/x.

Which solid has a volume that is 3 times the volume of a cone with the same base and height?
a.cylinder
b.prism
c.pyramid eliminate
d.sphere?

Answers

Answer: (a) Cylinder

The formula for volume of a cone = 1/3 π r² h

The formula for volume of a cylinder = π r² h

The answer is  A. Cylinder

100 points! Evaluate the equation. Look at the picture. Do #7.

Answers

10C6 = 10!/(6!*(10-6)!) = 10*9*8*7/(4*3*2*1) = 210

There are 210 ways to choose 6 from a group of 10.

Jesse made a model of a mountain range for class. to do this, he bought a cylinder of cardboard and cut it into three cones. each cone is 5 inches tall and has a diameter of 4 inches. what was the volume of the original cylinder jesse bought in terms of \piπ?

Answers

By definition, the volume of the cone is given by:
 V = (1/3) (π) (r ^ 2) (h)
 Substituting values we have:
 V = (1/3) (π) ((4/2) ^ 2) (5)
 V = (20/3) (π)
 Then, the volume of the cylinder is:
 Vc = 3 * V
 Vc = 3 * (20/3) (π)
 Vc = 20π
 Answer:
 
the volume of the original cylinder jesse bought is:
 
Vc = 20π

The volume of the original cylinder that Jesse bought is 20π cubic inches.

To find the volume of the original cylinder Jesse bought, we need to use the volume formula for a cylinder:

V = πr²h

First, we need to find the volume of each cone using the formula:

Volume of a cone = (1/3)πr²h

Given:

Height(h) of each cone = 5 inchesDiameter of each cone = 4 inches, so the radius(r) = 4/2 = 2 inches

Volume of one cone:

V_cone = (1/3)π(2)²(5) = (1/3)π(4)(5) = (20/3)π cubic inches

Total volume of three cones:

V_total_cones = 3 × (20/3)π = 20π cubic inches

Since the volume of the cylinder equals the total volume of the cones:

V_cylinder = 20π cubic inches

PLEASE HELP!

The center of a circle is at (2, −5) and its radius is 12.

What is the equation of the circle?

(x−2)2+(y+5)2=144
(x+2)2+(y−5)2=144
(x+2)2+(y−5)2=24
(x−2)2+(y+5)2=24

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{12}{ r} \\\\\\\ [x-2]^2+[y-(-5)]^2=12^2\implies (x-2)^2+(y+5)^2=144[/tex]

On Monday, there was no snow on the ground in Buffalo, New York. On Tuesday, three inches of snow fell.On Wensday a half an inch of snow melted. On Thursday two and a half more inches fell. On Friday another inch and a half melted. How much snow was left on the ground Friday night.

Answers

Hi there!

Monday- 0 in.

Tuesday- 3 in.

Wedsnday- 2 1/2 in.

Thursday- 5 in.

Friday- 3 1/2 in.

Therefore, the answer is - 3 1/2 inches of snow was left on Friday.

Hope this helps you!

~DL

The probability that the Cubs win their first game is 1/3. The probability that the Cubs win their second game is 3/7. What is the probability that the Cubs win games?

Answers

We need to multiply these probabilities up. Indeed, we are talking about independent events. Then, the final answer is 1/3 * 3/7=1/7

The correct answer is:


1/7.


Explanation:


The two events, the Cubs winning their first game and the Cubs winning their second game, are independent. This is because the Cubs winning their first game does not affect the probability of the Cubs winning their second game.


Since the events are independent, to find the probability that both events occur, multiply the probabilities:


1/3(3/7) = (1*3)/(3*7) = 3/21 = 1/7

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