Henry showed all the steps he took to solve the equation. 4 (negative one-half x + 7) + 5 x = 15 Step Simplified Expression 1 -Negative 2 x + 28 + 5 x = 15 2 3 x + 28 = 15 3 3 x = 15 4 x = 5 Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry's solution is incorrect? Step 1 is wrong because the distributive property of equality was used incorrectly. Step 2 is wrong because the addition property of equality was used incorrectly. Step 3 is wrong because the subtraction property of equality was used incorrectly. Step 4 is wrong because the division property was used incorrectly.

Answers

Answer 1

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

can someone please help me?

Answers

Answer:

70°

Step-by-step explanation:

since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)

a triangle adds up to 180°

so to find x we set this up:

x +55 +55 = 180

x + 110 = 180

x = 70°

Point Q'Q

Q, prime is the image of Q(0,6)Q(0,6)Q, left parenthesis, 0, comma, 6, right parenthesis under the translation (x,y)\to(x+7,y-5)(x,y)→(x+7,y−5)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, plus, 7, comma, y, minus, 5, right parenthesis
\

Answers

Answer:

9,2

Step-by-step explanation:

i got it on khan

Answer:

7,1

Step-by-step explanation:

let's add 7 to x

0+7=7

let's subtract 5 from y

6-5=1

Q' is (7,1)

Find the slope of the line containing the pair of points.
(-9,- 8) and (-8,-6)

Answers

Answer:

slope = 2

Step-by-step explanation:

-8 - -6 / -9 - -8 = 2

Answer:

[tex]\frac{2}{1}[/tex] which is just 2

Step-by-step explanation:

slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

So plug the numbers in, now it should look like [tex]\frac{-6 - (-8)}{-8 - (-9)}[/tex]

-6 - (-8) = 2

-8 - (-9) = 1

So the slope is [tex]\frac{2}{1}[/tex]

this is the formula which I am asking you all​

Answers

Answer:

That is literally still the same formula for mean.

Step-by-step explanation:

PLEASEEE PLEASE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:  3. Distributive

Step-by-step explanation:

 

3(x -2y) = 3x - 6y   To get from  left to rigth, you have to multiply them which is the same as distribitue.

3(x) - 3(2y) = 3x - 6y

ou swim in a 100-meter race. Your best time is 59.48 seconds. You want to swim the race in 51.55 seconds. How much will you need to trim from your best time?

Answers

Answer:

7.93 seconds

Step-by-step explanation:

Subtract!

59.48s - 51.55s = 7.93 seconds

Needs to be trimmed.

Answer:

7.93

Step-by-step explanation:

59.48 minus 51.55 is 7.93

In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV

Answers

Answer:

B

Step-by-step explanation:

just ended the test

Answer: (-3, 5) : Quadrant 2

pleaseee help

6x7/8=
5/6x2/5=

Answers

6×7/8 =5 1/4 and 5/6x2/5= 1/3

PLEASE HELP IV ASKED A MILLION TIMES!!!!! ASAP WITH BRAINLIEST!!!!!!!!!

Are the triangles APB and APR similar? Explain in terms of the following:

Corresponding angles and Parallel lines cut by a transversal

AA Criterion

Answers

Answer:

yes

Step-by-step explanation:

Please give me brainleist

A function has the function rule y = x - 7. If the input is 4, what is the output?

A. 3
B. -3
C. 11
D. -11

Answers

Answer:

The awnser is B. -3

Step-by-step explanation:

4-7=-3

x-7= y

find the nth term of the sequence -5,-1,3,7​

Answers

4n - 9

Step-by-step explanation:

use formula nth term = a + (n-1)d where a is the first term and d is common difference

Answer:

                  [tex]\bold{a_n=4n-9}[/tex]

Step-by-step explanation:

-1-(-5) = 4   and   3-(-1) = 4   and  7-3 = 3

so: d=4

[tex]a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_{n}=-5+4(n-1)=-5+4n-4=4n-9[/tex]

Mix 3 liters of water with 4 lemons to make lemonade. How many liters of water are mixed with 8 lemons how many liters of water will you need to make lemonade?

Answers

Answer:

6 Liters

Step-by-step

4 Lemons = 3 Liters

8 Lemons = 6 Liters

So its basicly multiplying it by 2  ^O^

Answer:

X = 6

Step-by-step explanation:

number of lemons. Liters

4 ---> 3

8 ---> X

= 4:8 = 3: X

= 4 = 3

8 X

= 4X = 3×8

= X = 3 × 8

4

= X = 6 answer X=6

i am in need of help

Answers

CAD= BAD
AD=AD( the same side of two angles).

Which equation below represents a proportional relationship?



a. y = 5x – 9

b. y = 2x + 7

c. y = 8x

d. y = 3x – 2

Answers

Answer:

c.

Step-by-step explanation:

when an equation doesn't have a y-intercept. That means it is proportional.

20000×50×45×0×23×5×6+229+466+7+5+8+9+1+2+3+45+6+7+8+9+10. Hope you like question don't answer if you don't want to. Have a great day​

Answers

815? but have a great day as well!

answerrr the question please xx

Answers

Answer:

2

Step-by-step explanation:

one vertically and one horizontally

The answer is 2
Sorry if wrong

What is the value of x in the equation 5(3x + 4) = 23?

start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction

Answers

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

      -20=-20

15x=3

divide by 15 from both sides

x=0.2

Step-by-step explanation:

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

     -20=-20

15x=3

divide by 15 from both sides

x=0.2

Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5

amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.

Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".

I need help NOW please!!!

Answers

Answer:

B)34

Step-by-step explanation:

Answer:

B.34°

supplementary angles

their sum is 180

180=146+x

x=180-146=34

Based on the graph, which inequality is correct for a number that is to the right of -3?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 3. The entire portion of the number line to the right of negative 3 is shaded.

a
4 > −3
b
−3 > 4
c
−2 < −3
d
−3 < −6

Answers

Answer:

The inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

Step-by-step explanation:

Given the inequality

[tex]-3\:>\:4[/tex]

-3 can not be greater than 4, so [tex]-3\:>\:4[/tex] is also incorrect.

Given the inequality

[tex]-2\:<\:-3[/tex]

-2 can not be lesser than -3, so [tex]-2\:<\:-3[/tex] is also incorrect.

Given the inequality

[tex]-3\:<\:-6[/tex]

-3 can not be lesser than -6, so [tex]-3\:<\:-6[/tex]  is also incorrect.

Given the inequality

[tex]4\:>\:-3[/tex]

4 can is always greater than -3, so [tex]4\:>\:-3[/tex]  is also correct.

Therefore, option 'a' is correct.

The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.​

Answers

Answer:

Step-by-step explanation:

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

someone help :( 3333333

Answers

Answer:

5 feet

mark above answer BRILLIANT

101 = -4 + 5(x + 2)

please help

Answers

Answer:x=19

Step-by-step explanation:

101 = -4 + 5(x + 2)

101= -4 +5x+10

91=-4+5x

95=5x

x=19

19

Step-by-step explanation:

Distribute 5

101=-4+5x+10

Combine like terms

101=5x+6

Get x alone on one side by subtracting 6

95=5x

Simplify

19=x

HELLOPPPPPPPP ASAPPPPPP PLEASEEEE

Answers

Answer:

A.

Step-by-step explanation:

which of the following represents an exponential function

Answers

Answer:

what are the options

Step-by-step explanation:

how do i evaluate p=2l+2w if l=5 and w =3

Answers

Answer: p = 16

Step-by-step explanation:

Replace the I with 5 and the W with 3.

2(5) + 2(3) = 10 + 6 = 16

Which ratio is equivalent to 3;9?

Answers

Answer:

sorry if its incorrect

Step-by-step explanation:

I think its 18:54

6:18
9:27
1:3
I hope this helps

13/26 = x/24 solve for x
PLEASE ANSWER

Answers

Answer:

x= 12

Step-by-step explanation:

hope this helps!!

6) In 3 seconds you can fill up a pool with 42 gallons of water. If this is a proportional
relationship fill in the table below.
Time (sec) 1/2/3/4/5
Amount of /. /42/. /. /
Water (gal)

Answers

Answer:

1/2/3/4/5

14/28/42/56/70

Step-by-step explanation:

divide the 42 gallons by 3 (since 3 seconds for 42 gallons) to find the rate of change. the answer is 14. then just do the number times 14 all the way. and yes this is proportional

how do i find the value of x in -5 = .5x

Answers

Answer:

[tex] - 5 = 0.5x \\ \frac{ - 5}{0.5} = x \\ - 10 = x[/tex]

Step-by-step explanation:

this is the step

This is my last problem is the answer right or wrong

Answers

I need help on that one to‍♀️
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