Noah wanted to check his solution of x = 14/5 for the equation 1/2 (7x - 6) = 6x - 10 substituting 14/5 for x, he writes the following

Find the incorrect step in Noah's work and explain why it is incorrect

PLEASE HELP ME ​

Noah Wanted To Check His Solution Of X = 14/5 For The Equation 1/2 (7x - 6) = 6x - 10 Substituting 14/5

Answers

Answer 1

Answer:

Line 4 is incorrect. Noah applied the distributive rule incorrectly.

Step-by-step explanation:

Noah Wanted To Check His Solution Of X = 14/5 For The Equation 1/2 (7x - 6) = 6x - 10 Substituting 14/5
Answer 2

The incorrect step in Noah's work is fourth step that is :

[tex]7.14-6=12.14-20[/tex]

We have equation [tex]\frac{1}{2} (7x - 6) = 6x - 10[/tex]

Substituting [tex]x=\frac{14}{5}[/tex] in the given equation

[tex]\frac{1}{2} (7(\frac{14}{5} ) - 6) = 6((\frac{14}{5} ) - 10\\ (7(\frac{14}{5} ) - 6) = 12((\frac{14}{5} ) - 20\\ 5(7(\frac{14}{5} ) - 6) = 5(12((\frac{14}{5} ) - 20)\\7.14-5.6=12.14-5.20\\98-30=168-100\\68=68[/tex]

So, here in the given solution we observe that the fourth step is incorrect.

Since 5 is not multiplied to 6 and 20.

Learn more:https://brainly.com/question/10439298


Related Questions

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly correctly without making mistakes

Answers

Answer:

648 cups, 3 fluid ounces

Step-by-step explanation:

You need to know that 1 cup = 8 fluid ounces (fl. oz).

convert to fl. oz:

1296 cups = 10368 fl.oz.

total fl.oz. = 10368+6 = 10374

10374 / 2 = 5187 fl.oz.

= 648 cups and 3 fluid ounces

Solve for y: y+4 = -2(x – 6)​

Answers

y=-2x+8
l hope that helps

Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?

Answers

9514 1404 393

Answer:

  D.  y = -3x +4

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...

  y = -3x +4 . . . . . matches choice D

Name the integers from the list below.

2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...

Answers

Answer:

The first 4

Step-by-step explanation:

any that are whole numbers

2, -4, 0, 32, and 31

6 more than a quotient of nine and a number p

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Answer:

9/p+6

Step-by-step explanation:

I really need help with this so plz give a good answer

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Yup this answer is 5

The two trapezoids below are similar. What is the length of EF

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The two trips episodes below are similar what is the length to EF2 +2 is 4-1 that’s three quick maths

Answer:

answer is 6

Step-by-step explanation:

i know answer is 2 weeks late

Solve the Equation

P + 75 = 100.

Answers

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP

Answers

Answer:

it's just 8/20 so shade 8/20 of the circle

geometric mean of 384 and 6

Answers

Answer:

48 is the geometric mean of 384 and 6

48 is the meaning of geometric

John has two different sugar syrups. Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water. How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Answers

Answer:

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

Step-by-step explanation:

Syrup A : 2 parts sugar , 8 parts of water .

Total = 10 parts

Syrup B : 3 parts sugar , 5 parts of water .

Total = 8 parts .

Mixture required 280 quarts , 3 parts sugar , 7 parts water

In 280 quarts , sugar = 280 x 3  / ( 3 + 7 )

sugar = 84 parts

Let volume of syrup A be x , volume of syrup B = 280 - x

sugar A =  2 x / 10 = 0.2 x

sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )

Total sugar =  .2 x + .375 ( 280 - x ) = 84 .

.2 x + 105 - .375 x = 84

105 - 84 = .375 x - .2 x = .175 x

.175 x = 21

x = 21 / .175 = 120

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Given that,

John has two different sugar syrups.

Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.

We have to determine,

How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

According to the question,

Syrup A: 2 parts sugar, 8 parts of water.

Total number of parts = 10 parts

Syrup B : 3 parts sugar, 5 parts of water.

The total number of parts  = 8 parts.

The mixture required 280 quarts, 3 parts sugar, 7 parts water,

In 280 quarts, parts of sugar are,

[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]

 

Let the volume of syrup A be x,

And the volume of syrup B be 280 - x

[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]

[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]

The total amount of sugar is,

[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]

Therefore,

The volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts

Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

For more details, refer to the link.

https://brainly.com/question/11921451

I will give brainiest.

Answers

Answer:

the third one is the answer

Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?

exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times​

Answers

Answer:

roughly 20 times

Step-by-step explanation:

2/6 = 1/3 is the probability he will roll a 3 or a 6

1/3 * 60 = 20.

It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.

You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent

Answers

Answer:

the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Step-by-step explanation:

As given , RST and angle TUR are right angles.

So the triangles are right angle triangles.

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)

Answers

Answer:

Expression

Step-by-step explanation:

Answer: Expression

Got this right!!!

Hope this helps!!!

PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches

Answers

Answer:

The height = 18 inches

Step-by-step explanation:

The volume = area of the base × height

Area of the base = 40.5 inches²

The volume = 729 inches³

729 = 40.5 × height

Height = 729 ÷ 40.5 = 18 inches

I believe it might be 18 have a great day!

A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.

Answers

Answer: 26

Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in

(4x+24)+ (3x-4)=90, then combine like with like.

7x+20=90

7x=70

x=10

Then let plug it in for angle B

(3(10)-4= 26

Answer:

x = 10°

∠B = 26°

Step-by-step explanation:

complementary means they add up to 90 degrees.

4x + 24 + 3x - 4 = 90°

combine like terms:

7x + 20 = 90°

7x = 70°

x = 10°

Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.

Answers

Answer:

0.5 pounds!

Step-by-step explanation:

3/8=0.375
12/0.375=32

Her dog is 32 pounds

write the number seventeen thousand and forty-eight in figures

Answers

Answer:

17 048

hi lets be freinds pleeease

Step-by-step explanation:

Seventeen thousand is 17,000 ( 5 figures)
Fourth eight is 48 (2 figures)
add them up 17,000+48 = 17048

Which table represent the statement "A computer repairman makes $25 per hour"?

Answers

C because you multiply

Answer:

c

Step-by-step explanation:

List all the factors.
48

Answers

Answer:

Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Answer:

1,2,3,4,6,8,12,16,24,48

Step-by-step explanation:

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used

Answers

Answer:

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches  (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48  = 292.48 in^2

The number line graph below is the graph of which of the following
inequalities?

-2 B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X

Answers

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

64 people ordered a veggie burger at a local hamburger stand out of 160 people in an hour. What percentage of the customers ordered a veggie burger ?

A 40%
B 60%
C 64%

Answers

Answer:

A

Step-by-step explanation:

Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?​

Answers

Answer:

6,8,and 10

Step-by-step explanation:

Answer:

6,8,and 10

Step-by-step explanation:

when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.

1. 2+5>10 = 7>10 FALSE

2. 4+5>10 = 9>10 FALSE

3. 6+5>10 =11>10 TRUE

4. 8+5>10 = 13>10 TRUE

5. 10+5>10 = 15>10 TRUE

A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]

The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]

So

[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.

Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.

So,

[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]

Hence, the scale factor is [tex]20[/tex].

The scale factor should be 20.

Important information:

The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.

Calculation of the scale factor:

Since 1 square foot should be equal to 400 square feet

So,

[tex]400\div 1 = k^2[/tex]

[tex]K = \sqrt{400}[/tex]

k = 20

Learn more about the scale factor here: https://brainly.com/question/23908178

Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35

Answers

Answer:

5/6, 7

Step-by-step explanation:

HOW DO YOU GRAPH USING LINER PROBLEMS

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Answer:

You need to plot points onto the graph

Step-by-step explanation:

It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfy the equation of the line, then the line can be accurately drawn. But it can be more than 2 points as well. IT CANNOT BE 1. Just 1 point can fo anything at all. You cannot make a linear line or a line in general with just one point. You need 2 or more to make a line.

You need to plot points onto the graph hopefully this helps

Is graphite all of the following?

Pure substance
Element
Compound
And Molecule

Pls help asap

Answers

Answer: Yes!

Step-by-step explanation:

Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.

Quadrilateral GHJK is a rectangle.

Find the measure of angle 1, given that the measure of angle 4 is 54°. *

(1 Point)

54°

46°

126°

134°

Answers

Answer:

126 degrees

Step-by-step explanation:

The sum of adjacent side of the rectangle is 180 degrees

Hence <1 + <4 = 180 degrees

Given

<4 = 54 degrees

<1 = 180 - <4

<1 = 180 - 54

<1 = 126degrees

Hence the value of <1 is 126 degrees

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