Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8 4 x = eight ninths Which of the following has all the correct justifications Bruno used to solve this equation?


a) 1. Multiplication Property of Equality 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality

b)1. Distributive Property 2. Combine like terms 3. Subtraction Property of Equality 4. Division Property of Equality

c)1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

d)1. Multiplication Property of Equality 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

Answers

Answer 1

Answer:

c) 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality

Step-by-step explanation:

4x + 1/2(10x − 4) = 6

4x + 5x − 2 = 6  distirbuted 1/2 to 10x - 4

9x − 2 = 6 combinded like terms: x

9x = 8  addtion to the right side with 2

x = 8/9 divide by 9

Answer 2

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth are correct.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the equation:

[tex]\rm 4x+\frac{1}{2} (10x-4)=6[/tex]

4x + 5x -2 = 6  (Multiplication proeprty of equality or Distributive property)

9x - 2 = 6          (combine like term)

9x = 8               (addition property of equality)

x = 8/9               (division property of equality)

Thus, the justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality options third and fourth is correct.

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Related Questions

23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical
height of 1575 feet. How far does the chair lift travel up the side of a
mountain?

Answers

Answer: x = 4394.9

Step-by-step explanation:

x.sin(21) = __1575__ . x

                      x

cross out the x from both side then

_x.sin (21)_____ =  _1575_____

sin(21)                         sin(21)

x = 4394.9

tell me if that is the right answer

Mark me as brainliest if i got it right

(0.4)power of 2 =2(0.4)= 0.8
Describe AND correct the error in evaluating the power.
Plz answer

Answers

Answer:

(0.4)² = (0.4).(0.4) = 0.16

His error is, instead of raising (0.4) to exponent 2, he multiplied (0.4) by 2 , obviously which is wrong

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

(.4) ^2 = this means .4  times  itself

.4*.4

.16

what is the area of an equilateral triangle whose altitude is 6?

Answers

So the right answer is 15.57.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

Answer:

the answer is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!!

Choose the function that represents the data in the table.
X
f(x)
0
-3
1
-1
2
1
3
3
4
5
5
7
f(x) =} - 3
f(x) = 2x-3
f(x) = x2 – 3
f(x) = 2x² – 3

Answers

Answer:

b

Step-by-step explanation:

If the function rule is to multiply by 4, and an output value is 8, what is the input value?

a. 32
b. 16
c. 8
d. 2

Answers

Answer:

d. 2

Step-by-step explanation:

if you have to find the input just do the output divided by the muliply by which gives you the input

What is the simplified form of the following expression?

RootIndex 3 StartRoot StartFraction 4 x Over 5 EndFraction EndRoot

Answers

Answer:

its C

Step-by-step explanation:

I took the test

The simplified expression of the ∛4x / 5 is ∛4x / ∛5

How to simplify an expression?

The expression can be simplified as follows:

∛4x / 5

using law of indices

[tex]\sqrt[a]{b} =b^{\frac{1}{a} }[/tex]

∛4x / 5 = [tex](\frac{4x}{5} )^{\frac{1}{3} }[/tex]

Therefore,

∛4x / 5 = ∛4x / ∛5

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Answer This Question Please
10 points

Answers

Answer:

I have 5 friends each friend gives me an equal piece of cookie. at the end I have 5 pieces of cookie that equal one cookie!

Step-by-step explanation:

PLZ MARK ME BRAINLIEST!

what is the name of the relationship between 1 and 8

Answers

Answer:

The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex] are Alternate Exterior Angles.

Step-by-step explanation:

Alternate Exterior Angles, are pair of angles that lie on the outside of the traversal and lie on the opposite sides.

The required name of the relationship between 1 and 8 is alternate exterior angles

The correct option is (c)

What is Alternate Exterior angle?

When a transversal cut the pair of parallel lines then the alternate exterior angles are congruent.

How to find alternate exterior angle?

Consider the given pair of parallel lines and transversal

we have

angel 1 and 5 are corresponding angles

angle 2 ad 6 are corresponding angles

angle 1 and 8 are alternate exterior angle

angle 2 and 7 are also alternate exterior angle

Therefore the correct option is (c)

This is the conclusion to the answer.

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find the value of x help plz​

Answers

Answer: 39 degrees

Step-by-step explanation: The box tells us that is a 90 degree angle. Subtract 90-51=39. They add to 90 degrees.

Answer:

Do you mean b? 39°

Step-by-step explanation:

90-51=39

Please mark as Brainliest! :)

Have a nice day.

help please im confused

Answers

Answer:

(2,7)(3,2)

Step-by-step explanation:

An angle measures 72° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

that would be 108

Step-by-step explanation: it's 108 b/c supplementary angle/ either of two angles whose sum is 180°.

Answer:

Let the angle be x .

Its supplementary = 180 - x

Given:

x = 180 - x - 72

2x = 108

x = 54

Other angle = 180 - 54 = 126

What is the value of (3-54(2)- 16:22
O _40
-16
o 24
56

Answers

So the right answer is 24.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

24

Step-by-step explanation:

Solve according to PEMDAS. Perform the operation inside the parentheses first, then evaluate exponents, multiply, divide, add and subtract.

(3-5)^4(2)-16/2

First, perform the operation inside the parentheses. Subtract 5 from 3.

(-2)^4 (2) -16/2

Next, evaluate the exponent. -2^4 is the same as multiplying -2, 4 times.

-2*-2*-2*-2=16

So, -2^4 is equal to 16

16(2)-16/2

Multiply 16 and 2.

32-16/2

Divide 16 by 2

32-8

Subtract 8 from 32

24

The correct answer is 24

Help with my homework please! Will give brainliest

Answers

Answer:

a) 72 cm^2

b) 9 cm^2

c) 9 cm^2

d) 60.39 cm^2

Step-by-step explanation:

a) the the length is 12 cm and the width is 6 cm. Area = lw

A=(12)(6)

A=72 cm^2

b) base equals 3 cm

Height equals 6 cm

A=1/2(3)(6)

A= 9 cm^2

c) base = 3 cm

height=6 cm

Area=1/2(3)(6)

A=9 cm^2

d) to to find the area of the parallelogram, You need to use Pythagorean theorem for one of the triangles.

3^2 + 6^2 = x^2

9 + 36 = x^2

45=x^2

✓45 = ✓x^2

x = 6.71 cm

12-3 = 9

now that you have all the sides for the parallelogram, multiply 6.71 times 9 to get the area.

A= 60.39 cm^2

Which of the following is a rational number?

Answers

A rational number is a number that can be written as a fraction.

The square root of 34 is equal to ~5.83. This number cannot be written as a fraction.

Pi is not a rational number. Its digits stretch into infinity and it does not have any factors.

The square root of 64 is a rational number. The square root of 64 is 8, which can be written as a fraction, as well as being an integer.

The square root of 102 is equal to ~10.1. This is not a rational number and cannot be written as a fraction.

Therefore, the square root of 64 (Or 8) is a rational number.

Hope this helps! :)

you are purchasing a house 12 years from now the estimated purchase price is $171,600 you want to make a 20% down payment how much do you need to save per month to reach your goal​

Answers

Answer:The answer would be $238.33 a month

Find the area of the figure to the nearest hundredth.

Answers

Answer:

[tex]=31.64ft^2[/tex]

Step-by-step explanation:

Triangle

[tex]A=\frac{h_{b}b }{2} \\=\frac{4*6}{2}\\=12ft^2[/tex]

Semicircle

[tex]A=\frac{\pi r^2}{2}\\=\frac{\pi 2.5^2}{2} \\=9.82ft^2\\[/tex]

because both semicircle are the same just multiply by 2

[tex]9.82*2\\=19.64ft^2[/tex]

Now add all together

[tex]12+19.64\\=31.64ft^2[/tex]

Answer:

31.64 ft*2

Step-by-step explanation:

Break down the problems by shapes-

1. Triangle= 4 x 6/2

=12 ft*2

2. Semi-Circle= 2.5/2 (sense their are two, we only need to solve one)

=9.82 ft*2

Multiply 9.82 by 2  

=19.64 ft*2

Adding all together

12+ 19.64

=31.64 ft*2

A model airplane is built at a scale of 1 inch to 6 feet. If the model plane is 8 inches long, how many feet long is the actual airplane?

Type your answer as a whole number in the box below.

_____ feet

Answers

The airplane is 48 feet long in real dimensions.

To find out how long the airplane actually is, we can use the scale and input our amount of inches that it is measured by.

So, 1 inch equals to 6 feet.

Our model plane is 8 inches.

Now, we plug it in.

8 inches = 6(8)

8 inches = 48 feet

Therefore, the length of the real airplane is 48 feet.

48 feet

Answer:

48 feet

Step-by-step explanation:

Let's create a proportion using the following setup.

inches/feet=inches/feet

We know the scale is 1 inch to 6 feet. We also know that the plane is 8 inches long, but we don't know how many feet long it is, so we can say x feet.

1 inch/6 feet= 8 inches/ x feet

1/6=8/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Multiply the denominator of the first by the numerator of the second.

1*x=6*8

x=6*8

x=48

Add appropriate units, in this case: feet.

x= 48 feet

The actual airplane is 48 feet long.

You build a seahorse hotel that’s 6 inches wide and 12 inches tall. It has a volume of 864 cubic inches. What is the hotel’s length?

Answers

Answer:

864/(6*12)

864/72

12 = l

Answer:

Step-by-step explanation:

V = l * b * h

l = V/(b * h)

L = 864/(6*12)

L = 864/72 = 12 inches

HEY GUYS I NEED HELP WITH THIS PLZZ! write down everything from the detail of how yall found ur answer plzz! 20 points or more...

Math problem: Julie went shopping. She spent ⅙ of her money on books, ⅛ of her money on shoes and $5 on food. She had $13.50 left. Write an equation to represent this information. Solve the equation to find how much money she had at the beginning of the day?

Answers

Answer:

1/6+1/8+$13.50+$5=x

x=$18.79

Step-by-step explanation:

i add them

first i find the common denominator for 1/6 and 1/8

then i add 13.50 by 5

then add 18.50 by 7/24

i hope this explains how i got my answer

Answer:

Total amount of $ at beginning of day ⇒ ( About ) $ 26.1

Step-by-step explanation:

Let us say x represents ⇒ amount of $ at the beginning of the day;

If she spent 1 / 6 of this total money on books, we can say that the amount spent on books is 1/6x. Consecutively if 1/8 of this money was spent on shoes, the amount spent on shoes is 1/8x;

Knowing that $13.50 was remaining, let us set up the following equation;

x - ( 1/6x + 1/8x + 5 ) = 13.50 ⇒ now let us solve for x,

x - ( 1/6x + 1/8x + 5 ) = 13.50 ⇒ add similar elements, expanding,

x - ( 7/24x + 5 ) = 13.50 ⇒ distribute the minus sign

x - 7/24x - 5 = 13.50 ⇒ multiply either side by 24,

17x - 120 = 324 ⇒ add 120 to either side,

17x = 444,

Solution; Total amount of $ at the beginning of day ⇒ ( About ) $ 26.1

Between which consecutive years was the decrease in the price of gold per ounce greatest
A. 1972-73
B. 1973-74
C. 1974-75
D. 1975-76

Answers

Answer:

D. 1975-76

Step-by-step explanation:

In the picture attached, the price of gold per ounce is shown.

We can see that from the year 1972 to 1976 the only period in which the price decreased was in the period 1975-76, where prices decrease from approximately $220 per ounce to approximately $180 per ounce

can someone please help

Answers

Find the interior angles of a hexagon
6-2= 4
4*180
=720

100+120+120+125+125=
590

720-590=130

x=130 degrees

In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?

Answers

Answer:

The tangent of ∠L represents the ratio between side NM and side LN.

The value of this tangent is 0.9028

Step-by-step explanation:

The angle ∠N is 90°, so we have a right triangle. In a right triangle, the tangent of an angle represents the ratio between the opposite side of that angle and the adjacent side (the cathetus, not the hypotenusa) of that angle.

So, in the triangle LMN, the opposite side to the angle ∠L is NM, and the adjacent side is LN (ML is the hypotenusa, because it is the bigger side). The value of this tangent is:

tan(L) = NM / LN = 65 / 72 = 0.9028

Answer:

65/72

Step-by-step explanation:

deltamath gave me the answer

The set of skills and knowledge needed to make informed decisions about
money matters is called
A. career literacy
B. financial literacy
C. family literacy
D. educational literacy

Answers

Answer:

The correct answer is option B. financial literacy

Step-by-step explanation:

Can someone please help me solve this??
26·(7y+5+3)=1,300

Answers

Y=6

Divide both sides by 26
7y+5+3=50
Add
7y+8=50
Move constant to the right
7y=50-8
Subtract
7y=42
Divide by 7
Y=6

Answer:

y=6

Step-by-step explanation:

step 1:

26 • (7y + 8) - 1300 = 0

Step 3:

Pulling out like terms :

3.1     Pull out like factors :

182y - 1092  =   182 • (y - 6) 

Equation at the end of step 3:

182 • (y - 6) = 0

Step  4  :

Equations which are never true :

4.1      Solve :    182   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    y-6 = 0 

Add  6  to both sides of the equation: 

                      y = 6

can someone help me with problem 20,21,22

Answers

Answer:

20-e 21b 22-c

Step-by-step explanation:

Which of the following equations describes the graph?

Answers

Answer:

Option D  y=-3x^2 +4

Step-by-step explanation:

This is the correct answer because the graph is going down which shows that it is negative and the y intersect is +4

Option D hope this helps .

|5−4r|=17 find r Answer in as many ways as possible IF you don't answer the question and fool around I will report you

Answers

Answer:

r1= -3

r2= (11/2)

Step-by-step explanation:

5-4r=17

-4r=17-5

-4r=12

r=13

and

5-4r=-17

-4r=-22

r= 11/2

Kerri attends a 40-minute yoga class 5 times per week. How much time does she spend in the yoga class over a 7-week period?

Answers

Answer:

1,400 minutes

Step-by-step explanation:

First, let’s find how much time she spends per week.

She attends a class that is 40 minutes long and she does this 5 times a week.

Therefore, we can multiply 5 and 40 to find the total time per week.

5*40

200

She spends 200 minutes per week and she does this over a 7 week period.

We can multiply 200 and 7

200*7

1,400

She spends 1,400 minutes in yoga class over a 7 week period.

Answer:

1,400 minutes.

Step-by-step explanation:

Kerri attends a 40-minute yoga class 5 times per week.

Multiply 40 by 5 to get the total minutes for one week:

[tex]40*5=200[/tex]

So, Kerri attends yoga classes for 200 minutes total for one week.

With that in mind:

[tex]\text {Total Minutes for a Week} * \text {Weeks} =\\\rightarrow 200 * 7=\\\boxed {1400}[/tex]

Kerri should attend yoga classes for a 1,400 minute total in a seven week span.

will mark bianleast 10 ponits
What is the perimeter of a regular 12-sided polygon with side lengths of 2 inches?

10 in.

14 in.

24 in.

144 in.

Answers

Answer:

24 in

Step-by-step explanation:

12 sides times 2in = 24in

please choose any two and help me answer i will be very grateful and will mark you brainliest

Answers

Answer:

18 and 20, 4

Step-by-step explanation:

Math reasoning 1:

Set the first number as x and the other one as x+2 because it is a consecutive even number.

x+x+2=38

2x=36

x=18

18+2=20

The 2 consecutive numbers are 18 and 20

Problem solving 1:

Write out equation first, set the unknown number as x

5+x=9

x=4

Answers:

Top Yellow: 2(n+7) = 13

Bottom Red: 5(n-2) = 4

Step-by-step explanation:

Top Yellow Example: 2 times the sum of the number x and 7 is 13. Use words in the sentence to replace them with mathematical symbols. Sum is equal to +, etc. 2(n+7) = 13 is your answer.

Other Questions
I need help with B ASAP because work is due tomorrow and Im seriously stuck. I have tried so many, please help. what is the product of 72 x 0.45 Which description can be written as the expression StartFraction 8 Over 21 n EndFraction?the quotient of twenty-one times a number and eightthe product of eight and twenty-one times a numberthe quotient of eight and twenty-one times a numberthe product of twenty-one times a number and eight 6(n + 5) = 2(n + 5) + 4(n + 5) Are these two Equivalent Jamie says the value of 1.43 ( 22 43 ) is close to 0.75. Student A says this estimate is reasonable because the product is negative and about half of 1.5. Student B says you could find the product using a calculator as follows: "Divide 22 by 43, multiply the quotient by 1.43, then round the product to the nearest hundredth." Does student B's approach to find the product justify the claim that Jamie's estimate is reasonable? Help! I just don't understand Please helllppppWill mark as bbrainliestChose correct. answer for 9 and 10 3.En las siguientes oraciones encierra las palabras que contengan hiato e indique el hiato que tienen 1 Miguel viaj a un pas europeo a estudiar una maestra en ingls. 2 Los empleados de la biblioteca ordenaron los libros en la estantera. 3 Jorge Estrella, docente de cuarto ao evalu a sus estudiantes. 4 Ral aprob el examen de ingreso a la universidad. 5 Maana tengo que ir a la clnica para hacerme un examen de cardiologa. 6 El aeropuerto est lejos de la ciudad. 7 Eduardo tiene que ir a la cooperativa de ahorro y crdito para sacar dinero. 8 El Ecuador es uno de los pases exportadores de petrleo 9 Con tanto ejercicio me voy a convertir en un experto en ortografa 10 Mi equipo ser el campen de la temporada Mara ha comprado un frasco de colonia que costaba 23 y tres pares de medias. Le ha dado a la dependienta los 52 que llevaba y ha dejado a deber 13 . Cunto cuesta un par de medias en esa tienda? The probability of a spinner landing on yellow is 4/9. What is the probability of it not landing on yellow? How are clouds made. plz halp If f(x) = -7x + 5x2 + 10, what does f(-2) equal? You are trying to decide what you should do about a problem. You arethoughtful in trying to come up with a solution. What part of your brain areyou using?A. Sensory cortexB. Prefrontal cortexC. Interneural cortexD. Motor cortexSUBMIT What prevented President Bush from sending troops to Bosnia?He did not want to involve the U.S. in a conflict like the Vietnam War.He did not believe that Bosnia was in a true state of conflict.The United States lacked the necessary resources for war.The United States had resolved to stay out of international affairs. Please answer this correctly Help with a word problem Which of the following statements is FALSE? a. The railroads had a positive impact on the economic prosperity of Texas. b. Texas towns without railroad access remained small. c. With the construction of railroads came a big decrease in violence across the West. d. Mexican immigrants fled the Mexican Revolution of 1910 and settled in South Texas. Please select the best answer from the choices provided A B C D complete the shape below so that ab is a line of symmetry Hopkins Co. at the end of 2017, its first year of operations, prepared a reconciliation between pretax financial income and taxable income as follows: Pretax financial income $3,000,000 Estimated litigation expense 4,000,000 Extra depreciation for taxes (6,000,000) Taxable income $ 1,000,000 The estimated litigation expense of $4,000,000 will be deductible in 2018 when it is expected to be paid. Use of the depreciable assets will result in taxable amounts of $2,000,000 in each of the next three years. The income tax rate is 30% for all years. The deferred tax asset to be recognized is Why couldnt solid ice have been merged into the Earth when it was created? a. Ice wasnt made yetb. All the ice that formed went to Marsc. Ice could only form on cometsd. It was too hot in the inner solar system at the time of its formation