The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by twice the third the result is 28 what are the three numbers

Answers

Answer 1

Answer:

the three numbers = -8, -32, -30

Step-by-step explanation:

let the first number = a

let the second number = b

let the third number = c

From the first statement:  b = 4a

From the second statement: c = b + 2

From the third statement: b - 2c = 28

From the above equations, we can solve (1) and (2) together.

c = b + 2

b = c - 2

Also, b - 2c = 28

(c - 2) - 2c = 28

c - 2 - 2c = 28

-c = 30

c = -30

b = -30 - 2

  = -32

b = 4a

a = b/4

a = -32/4

a = -8

Therefore, the three numbers = -8, -32, -30


Related Questions

Need honest and urgent help thank you

Answers

Answer:

(Top to bottom) The third and the fifth.

Step-by-step explanation:

I feel lazy typing this so I'll just take a pic if you're curious about the process.

Find the length of each arc

Answers

Answer:

27 pi/4 or 6 3/4 pi

Step-by-step explanation:

First find the circumference

C = 2*pi*r

C = 2 * pi *9

C = 18 pi

The find the fraction of the arc

A circle is 360 degree

135/360 =3/8

Multiply the circumference by the fraction

18 pi * 3/8 =

27 pi/4

6 3/4 pi

Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6

Answers

The correct answers is A:12

Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?

Answers

Answer: [tex]4.016\ hr[/tex]

Step-by-step explanation:

Given

Train A has speed of [tex]v_a=75\ mph[/tex]

Train B has speed of [tex]v_b=50\ mph[/tex]

If Paris and Pisa is 500 miles apart

If they meet x hours after the start

The sum of the distances traveled by Train A and B is 500 miles

[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]

So, after [tex]4.016\ hr[/tex] they will pass each other.

Alternate angles add up to 180 degrees.

Is it true or false?

Please give real answers with an explaination. 80 points + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

yeah i’m pretty sure that they do add up to 180 i’m not sure how to explain it but because they are on opposite sides they add up

Find the geometric mean of 16 and 36. Write your answer in the simplest form.
Any obvious wrong answers will be reported.

Answers

Answer:

Step-by-step explanation:

Find the geometric mean of 16 and 36. Write your answer in the simplest form.

Any obvious wrong answers will be reported.

if f(x) = 3x+2 what is f(5)?

Answers

Answer:

just put 5 on the place of x

Step-by-step explanation:

3(5)+2

15+2

17

hope it helps

Answer:

lets say f equals 1

x-2 = 3x

-2 = 2x

x=-1

1(-1)

-1

Please help me. I feel really confused and I have no clue on what to do…

Answers

Answer:

i cant understand your questions. can you reply me? i will have better answer

Find the product of (2x-3)(x-1)​

Answers

Answer:

Step-by-step explanation:

[tex](2x -3)(x-1) = 2x(x-1) -3(x-1)[/tex]

                     [tex]=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3[/tex]

Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml

Answers

Answer:

surface area is A≈394.08

not so sure about volume

Step-by-step explanation:

The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?

Answers

The answer for this question is 5,740

Answer:

81

Step-by-step explanation:

1350 ×15 % by 100 = 81. 15 year = 1,215

Test question........................

Answers

You Have Passed Thy Test!!! BADAAAA (\•o•/)

You forgot to attach the question to your test

Please help??? An explanation would help too and the answers

Answers

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Can some please help I don’t really know.

Answers

Answer: 1%

Step-by-step explanation:

Which equation describes the line graphed above?

Answers

D is the answer 2/3 rise over run and then it is sitting on the positive 4 on the y axis

What are solutions to the equation x^2-34=864

Answers

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Hellpp please and thank……………

Answers

Answer:

a1 = 2

a2 = 6 = 2.3 = a1.3

a3 = 18 = a1.3²

a4 = 54 = a1.3³

=> this is a geometric sequence with a1 = 2

q = 3

=> a11 = 2.3¹⁰ = 118098

Nigel has 2 dogs one eats 21/2 pounds of food each week. The other eats 1 3/8 pounds a week together how much food do the dogs eat in a week?

Answers

Answer:The dogs eat 3 7/8 pounds of food together each week.

Step-by-step explanation:

First dog eats eats 21/2 pounds of food each week

The second eats eats 1 3/8 pounds of food each week

In total the two dogs eat  

2 1/2  + 1 3/8  = 3 (4+3)/8

=3 7/8

The dogs eat 3 7/8 pounds of food together each week.

Answer this for me thanks

Answers

Answer:

The value of x is 15 inch.

Step-by-step explanation:

Area, A = 81 square inch

Perimeter, P = 48 inch

let the side is y.

[tex]y^2 = 81\\\\y = 9 inch[/tex]

Let the other side is d.

P = 4 d = 48

d = 12 inch

the length x is given by

[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]

So, x = 15 inch.

when 2-(7g-3) =-9 is solved, the result is:
a. 2
b. -2
c. -4
d. none of these choices are correct​

Answers

The answer is A. 2

Step-by-step explanation:

First let's simplify both sides of the equation

Now using the Subtraction Property of Equality subtract 5 from both sides

[tex]-7g+5-5=-9-5-7g=-14[/tex]

Now using the Division Property of Equality divide both sides by -7

The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.

Answers

Answer:

manz I think u would need like a ruler or something

Two Boys are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. One of them thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.

This is one of theirs work.

a2 + b2 = c2
32 + b2 = 52
9 + b2 = 25
b2 = 16
b = 16−−√
b = 4

Why is his reasoning incorrect? Explain.


How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Round your answer to the nearest tenth of a foot. Show your work.

Another boys parents bought a 10 foot piece of plywood for him and his friend to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Draw

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b Hence:

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

Answer:C

Step-by-step explanation:

Ahmed needs to fill a fish tank with water. He uses three cups of water to fill 1/4 of the tank. How many cups of water will he need to completely fill the tank.

-1
-3
-4
-12

Answers

Answer:  D) 12

===========================

Work Shown:

3 cups = 1/4 tank

4*(3 cups) = 4*(1/4 tank)

12 cups = 1 tank

The person above is perfectly right! Your answer IS 12.

Have a nice day :DD

72. Linear Speed. A wheel with a 30-cm radius is rotat- ing at a rate of 3 radians / sec. What is the linear speed of a point on its rim, in meters per minute?​

Answers

Answer:   Exactly 54 meters per minute

========================================================

Explanation:

Let's find the circumference

C = 2*pi*r

C = 2*pi*30

C = 60pi

This is the exact circumference in terms of pi.

In one revolution, the point on the wheel moves forward exactly 60pi cm.

In a sense, it's "speed" is 60pi cm per revolution.

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

Let's convert that speed to meters per minute as shown in the diagram below (I'm using the railroad tracks method to convert).

Note the color coding to see how the units cancel. The goal is to get meters on top and minutes down below. Also note how the "pi" terms cancel since we have on top and one down below.

After the canceled stuff goes away, we multiply straight across.

Multiplying the values across the top gives: 60*3*1*60*1 = 10800Multiplying across the bottom gives: 1*1*2*1*100 = 200

Divide the results: 10800/200 = 54

The linear speed is 54 meters per minute

This speed is exact because the 60pi figure is the exact circumference

This is the speed the point on the wheel moves, and we can say that the car itself also moves at a linear speed of 54 meters per minute.

Side note: 54 meters per minute = 2.013 mph approximately, which is a fairly slow walking speed.

i need help quick!! i need steps please. i dont understand it
will mark brainliest.

Answers

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

Yep he or she is right have a nice day

can somebody help plz​

Answers

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

I found the answer on this link www.mathrp.zxrt

help me please: tan3x-tanx-1=0



Answers

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]

Find the optimized volume of a rectangular prism with a surface area of 864 m^2

Answers

7r =x+p6.25+3q


A

AB
ABC

What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63

Answers

Answer:

0.78

used a calculator

It was would be C- 0.78 ❤️

4^2-2 X 3 + 6 = ?
SOLVE with PEMDAS

my son has had problems with algebra and tbh I don't know how to do it either i was hoping someone on here can help!

Answers

4^2 -2×3+6=16 is your answer

Answer:

Step-by-step explanation:

P means parenthesis, of which we have none. So we move to E, which is exponents, which we do have. So we start there:

[tex]4^2-2*3+6[/tex] becomes

16 - 2 * 3 + 6. Now we have to do multiplication/division in the order we come to it in the problem. That means multiplying 2*4 first:

16 - 6 + 6. Now we do addition/subtraction in the order we come to it in the problem:

16- 6 + 6 = 10 + 6 = 16

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