There are three numbers. The first number is twice the second number. The third number is twice the first number. The sum of the three numbers is 112.

Answers

Answer 1

Answer:

x = 32 y = 16 z = 64

Step-by-step explanation:

x is the 1st number

y is the 2nd number

z is the 3rd number

The first number is twice the second number so

x = 2 y

The third number is twice the first number.

z = 2 x

Their sum is 112

x + y + z = 112

Plus in what we know:

x + y + z = 112

2 y + y + 2x = 112

3y + 2x = 112 Let's solve for y and subtract 2x from each side

3y = 112 - 2x  Divide both sides by 3

y = [tex]\frac{112 - 2x}{3}[/tex]

Now plug our answer back in to solve for x.

x = 2y

x = 2 ( [tex]\frac{112 - 2x}{3}[/tex] )

x = (224 - 4x) / 3    Multiply each side by 3.

3x = 224 - 4x         Add 4x to each side

3x + 4x = 224

7x = 224              Divide each side by 7

7x / 7 = 224 / 7

x = 32

Now we can solve for z.

z = 2x

z = 2 ( 32 )

z = 64

Now we can solve for the numerical value of y.

x + y + z = 112

32 + y + 64 = 112

96 + y = 112       Subtract 96 from each side.

y = 112 - 96

y = 16

Answer 2

Answer:

1st number = 36

Second = 16

Third = 64

Step-by-step explanation:

We have 3 numbers

Let's call the second number g

Then the first would be , 2x g = 2g

Then the third would be twice the first = 2 x 2g = 4g

We add up all numbers and equate it to 112

2g + g +4g = 112

7g = 112

g = 112/7

g = 16

First number = 2g = 2x16 = 32

Second number = g = 16

Third number = 4g = 4x16 = 64

Therefore the numbers are 32, 16, 64.

I hope this helps!


Related Questions

5x-6y=17 whats the value of y?

Answers

Answer:

see below

Step-by-step explanation:

5x - 6y = 17

5x - 17 - 6y = 0

5x - 17 = 6y

y = [tex]\frac{5x - 17}{6}[/tex]

Answer:

Hey there!

Original Equation: 5x-6y=17

Subtract 5x: -6y=17-5x

Multiply by -1: 6y=5x-17

Divide by 6: y= [tex]\frac{5x-17}{6}[/tex].

Let me know if this helps :)

Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\dfrac34&\green{\text{Step } 1}\\\\ m&=2&\blue{\text{Step } 2} \end{aligned} 4 3 ​ +m 4 3 ​ +m− 4 3 ​ m ​ = 4 5 ​ = 4 5 ​ + 4 3 ​ =2 ​ Step 1 Step 2 ​ Find Angela's mistake.

Answers

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

[tex] \frac{3}{4} + m = \frac{5}{4} [/tex]

Subtract-3/4 from both sides

[tex] \frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4} [/tex]

Simplify

[tex]m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2} [/tex]

The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign and She wrote 5/4 + 3/4 instead of 5/4-3/4.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have given the expression as

⇒ 3/4 + m = 5/4

The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign.

She wrote 5/4 + 3/4 instead of 5/4-3/4

Here is the correct work :

Subtract 3/4 from both sides from the equation,

⇒ 3/4 + m - 3/4 = 5/4 - 3/4

⇒ m = (5 - 3)/4

⇒ m = 2/4

⇒ m = 1/2

Learn more about the arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Given
m2 ABD is a straight angle.
m ABC = 8x - 41°
mZCBD = 9x + 17°
Find m2CBD:
А
B
D

Answers

Answer:

  ∠CBD = 125°

Step-by-step explanation:

The angle sum theorem tells you that ...

  ∠ABC +∠CBD = ∠ABD

  8x -41° +9x +17° = 180° . . . . . . a "straight angle" has a measure of 180°

  17x -24° = 180° . . . simpify

  17x = 204° . . . . . . add 24°

  x = 12° . . . . . . . . . . divide by 17

Now the measures of the angles can be found from their expressions.

  ∠ABC = 8(12) -41° = 55°

  ∠CBD = 9(12) +17° = 125°

the quotient of 8 and the cube of a number

Answers

Answer: [tex]\frac{8}{n^{3} }[/tex]

Step-by-step explanation:

 the quotient of 8  and the cube of a number is 8 divided by the number cubed  where n is the number.

Kim's class voted on a location for a field trip. • 3/8of the class voted for the science museum. • 3/16 of the class voted for the water park. The rest of the class voted for the zoo. What fraction of the class voted for the zoo?

Answers

7/16 of the class voted on the zoo

In Alaska, the temperature can get cold really quickly. Yesterday, the temperature dropped 3° (° means degrees) for 9 straight hours. How would you find the temperature in Alaska after 9 hrs.?

Answers

Answer:

Step-by-step explanation:

Idk

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a functions, or
neither (if the set is not a relation).
F=[lxy) x+y=10)

Answers

Answer:

I believe the answer is function

Step-by-step explanation:

-8 - x = x - 4x
what is x?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 8 - x = x - 4x}[/tex]

Collect like terms

⇒[tex] \sf{ - 8 - x = - 3x}[/tex]

Move 3x to left hand side and change it's sign

Similarly, move 8 to right hand side and change it's sign

⇒[tex] \sf{ - x + 3x = 8}[/tex]

Collect like terms

⇒[tex] \sf{2x = 8}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{8}{2} }[/tex]

Calculate

⇒[tex] \sf{x = 4}[/tex]

Hope I helped!

Best regards!!

what is the length of the segment ĀB

Answers

Answer: 12

Step-by-step explanation: 7+5

Tell whether the ratios form a proportion. 3/7 , 12/21

Answers

Answer:

The answer is No, they aren't proportionate

Step-by-step explanation:

Answer:

They are not.

Step-by-step explanation:

I need help with math! I don't understand it. Can someone show me step by step.

Answers

Answer:

7) refer to d=rt triangle so answer is t= d/r

8) rearrange by dividing so it should be PV/nR = T

9) move 5r to  other side which become 2p = q - 5r then divide by 2. final answer is p = q-5r/2

10) multiply both side by b/1 so b got cancel on left side

right side become c(b/1) which is same as cb

then you divide both side by c to isolate b on the right side

final answer is a/c=b

Solve by factoring:

5x^2 + 19x + 12 = 0

Answers

When solving polynomial equations, first set the equation

equal to zero, then check for a Greatest Common Factor.

Since there is no greatest common factor, this will make life a

little bit more difficult because we will have to factor the trinomial.

First, find all possible factors for constant term.

I have listed these in red below.

Make sure to reverse the factors since in each binomial,

the first term is different so we need to reverse the factors.

The factors of 5x² will just be 5x and z.

After finding factors for the constant and the leading

coefficient for your trinomial, we can eliminate some factors.

If you have an odd coefficient on the middle term,

you can eliminate any pairs of even factors.

So the group I crossed out in purple below will be eliminated.

Another strategy is to use factors a little closer together.

So I would go with the 4 and 3 group.

Surely enough, our trinomial does factor with the 4 and 3.

Now set the factored trinomial equal to 0.

Then use zero product property and you have your answer.

Answer:

-0.27

Step-by-step explanation:

5x^2=25x

25x+19x=44x

44x+12=0

     -12=0-12

44x=-12

44x/44=-12/44

x=-0.27

WILL GIVE BRAINLY What is the area of this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. ___cm²

Answers

Answer:

K = 13.15 cm^2

Step-by-step explanation:

Sides:

a = 8 cm

b = 3.75631 cm

c = 7 cm

Angles:

A = 90.9699 °

B = 28 °

C = 61.0301 °

Other:

P = 18.7563 cm

s = 9.37816 cm

K = 13.1452 cm^2

r = 1.40168 cm

R = 4.00057 cm

Agenda: A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Please, help me I’m so dumb

Answers

Answer:

14036

Step-by-step explanation:

You know that 9 = 10 - 1.

Then 9 of something is equal to 10 of it less one of it. Here, that "something" is four.

  [tex]\begin{array}{cl}9\times4&=10\text{ fours}-\boxed{1}\text{ four}\\&=\boxed{40}-4\\&=\boxed{36}\end{array}[/tex]

_____

Comment on this math

This illustrates a shortcut for multiplying by 9 that can be convenient for mental arithmetic. The idea is to multiply by 10, which just involves adding 0 (or moving the decimal point), then subtract the original number.

A rectangle has sides that measure 12x + 7 units long and 9x+ 11 units long. What is the expression that represents the perimeter of the rectangle?​

Answers

Answer: P= 2{(12x+7) + (9x+11)} or 42x + 36

Step-by-step explanation:

The formula for the perimeter of a rectangle is P=2(l+w)

P= 2{(12x+7) + (9x+11)}

Simplified to 42x + 36

Answer fast please
8.
What is the 9th term in the quadratic sequence
shown below?
2, 5, 10, 17, 26, ...
A. 97
B. 82
C. 71
D. 65

Answers

it is b. 82! because it keeps going up by 2’s so 26+11 is 37. 37 +13 is 50. 50+ 15 is 82. please tell me if i’m correct

Let f(x) = 7x - 13. Find f1(x).

Answers

Answer:

-20

Step-by-step explanation:

f(-1) = 7(-1) - 13

f(-1) = -20

Please Please Please help !!

Answers

Answer:

g(x) = x - 7

Step-by-step explanation:

g(x) is the same as saying "y".

you need to move the y-intercept down 7 units, therefore putting the term - 7 into the expression.

Answer:

g(x) = x-7

Step-by-step explanation:

First find f(x)

f(x) is the function  y =x

f(x) = x

g(x) = f(x) + C  C < 0 moves it down

We want to move it down 7 units

g(x) = f(x)  -7

g(x) = x-7

Which of the following expressions has more than one term? (1 point)
O dz
O 4
Ot-t
O 18

Answers

'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation:

A vertex can represent
a person, object, location, or number
a variable or a pathway
a point, and nothing more

Answers

A point, and nothing more


True or False: The absolute value of a number is always positive, no matter what number you choose.

Answers

Answer:

Yes, it's always positive

Answer:

true

Step-by-step explanation:

it's just the distance from zero so it has to be positive either you go negative or positive!

The gravitational potential energy, ‘G’ of an object is directly proportional to its height, ‘h’ above
the surface of Earth. When the object is at a height of 40 meters above Earth, its gravitational
potential energy is 2200 joules. Find
I. An equation connecting G and h.
II. The gravitational potential energy of the object when it is at a height of 22 meters above the
surface of Earth.
III. The height of the object above the surface of Earth when it has a gravitational potential
energy of 3025 joules.

Answers

Answer:

see explanation

Step-by-step explanation:

Given that G is directly proportional to h then the equation relating them is

G = kh ← k is the constant of proportion

To find k use the condition h = 40 when G = 2200, then

2200 = 40k ( divide both sides by 40 )

55 = k

1

G = 55h ← equation of proportion

11

When h = 22, then

G = 55 × 22 = 1210 joules

111

When G = 3025, then

3025 = 55h ( divide both sides by 55 )

h = 55 m

Kenji earned the test scores below in English class.

79, 91, 93, 85, 86, and 88

What are the mean and median of his test scores?
A. Mean: 79; Median: 93
B. Mean: 87; Median: 93
C. Mean: 87; Median: 87
D. Mean: 93; Median: 87

Answers

Answer:

C

Step-by-step explanation:

Mean is all the numbers divided by the amount of numbers listed and Median is what ever number is in the middle (when in order of value). when there's not a exact middle number u add the two numbers in the middle and divide it by two

You start at (1,0) And move down 2 units and left 4 units where do you end

Answers

Answer:

(-3,-2)

Step-by-step explanation:

Starting at the point (1, 0)

Now we move don 2 units (so the y-value reduces in two units) making now the point (1,0-2)  which is (1, -2)

then we move to the left 4 units (so the x-value has now to be decreased in 4 units) making the point: (1-4, -2) which is (-3, -2)

Answer:

It would be -2,4.

Step-by-step explanation:

you start at (1,0) and go down 2 to -2 then left 4 you would land on -2,4

if anyone could please help fast i will mark as brainiest

Answers

Answer:

[tex]\large\boxed{x^{36}}[/tex]

Step-by-step explanation:

Consider the properties:

[tex]\boxed{(x^a)^b=x^{a\cdot b}}[/tex]

[tex]\boxed{x^a \cdot x^b=x^{a+b}}[/tex]

[tex]\therefore (x^3)^6 \cdot (x^2)^9= x^{18} \cdot x^{18}= x^{36}[/tex]

Answer is 36

(x3)6 * (x2)9

x3*6x2*9

Describe AND correct the error below.
17 + (-31) = -48

Answers

Answer:

the positive 17 is the problem. so it should be: -17 + (-31) = -48

Step-by-step explanation:

if 17 is positive, the equation is just: -14 = -48 (which isnt correct)

-17 + (-31) = -48 HOPE THIS HELPED:)

The table lists the test scores William and Andre received on five math assessments. Which student had the higher median? By how much? A: Andre by 7 points B: William by 5 points C: William by 7 points D: Andre by 5 points

Answers

Answer: c

First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.

What are some objects that could be used to represent points, lines, and planes?

Answers

Answer:

Examples of a plane would be: a desktop, the chalkboard/whiteboard, a piece of paper, a TV screen, window, wall or a door. Examples of lines would be:

To solve such examples of we need to know about points, lines, and planes.

Point

A Point can be described as an exact location in space but it has no size. A point is represented by a dot which shows the point in pictures and diagrams.

In the diagram, a line is represented by a capital letter with an arrow on the letters, such as [tex]\underset{AB}{\rightarrow}[/tex].

The examples of a point are a ball, a ball bearing, pin location on a map, etc.

Line

A line is drawn when an infinite number of dots are connected together in both directions extended forever.

Examples of a line are a thread string, a wire, etc.

Plane

A plane is drawn when an Infinitely number of intersecting lines extend forever in all directions.

In the diagram, a point is represented by a dot with capital letters.

Examples of a plane are a blackboard, a movie screen, etc.

Learn more about point, lines, and plane:

https://brainly.com/question/1887287

Solve the equation for y. 2y=8​

Answers

Answer:

four

Step-by-step explanation:

2(4)=8

Find the perimeter to this irregular shape.

Answers

Answer:23 mm

Step-by-step explanation:

add both 15 and 8 because they are as long as the one on the bottom

Answer:

70

Step-by-step explanation:

find the small unknown side by subtracting the two sides across from it. 12-7=5. add the 15 and 8 for the big unknown side. 15+8=23. add all the sides. 12+15+7+8+5+23=70

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