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 incorrect

Step-by-step explanation:

4(-1/2x + 7) + 5x = 15

-2x + 28 + 5x = 15

3x + 28 = 15

3x + 28 - 28 = 15 - 28

3x = -13


Related Questions

Enter your answer and show all the steps that you use to solve this problem in the space provided.
A graph with horizontal axis x and vertical axis y. Polygon WXYZ is plotted at the following points. W: left-parenthesis a comma 4b right-parenthesis. Z: left-parenthesis 0 comma b right-parenthesis. X: left-parenthesis 2a comma b right-parenthesis. Y: left-parenthesis a comma 0. Two dotted perpendicular lines WY and XZ are shown within the polygon.

Write a coordinate proof of the following theorem.

If a quadrilateral is a kite, then its diagonals are perpendicular. 60 POINTS

Answers

Answer:

sorry can u add a picture?

Step-by-step explanation:

if there is one sorry...

When Michael was 10 years old, Sam was 14. Sam is now 28 and Michael is 24.​

Answers

Answer:

4 years difference

Step-by-step explanation:

Which shows a proportion comparing the rise and run for each of the similar slope triangles,

and the numeric value?

y

Your Answer

?

BC

YZ

YX

b) - B:

d) = 4:2

c) 4 - BA

122

Answers

Answer:

1/2 = 3/6

Step-by-step explanation:

Slope = Rise / Run

Rise = change in yaxis = y2 - y1

Run = change in x axis = x2 - x1

For the smaller triangle :

Rise = MO = 1 unit

Run = NO = 2 units

Thus;

slope = 1/2

For the larger triangle :

Rise = PR = 3 unit

Run = QR = 6 units

Thus ;

Slope = 3/6

Smaller = larger

1/2 = 3/6

Find the slope of the line that passes through (7, 5) and (4, 1).

ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER

Answers

Answer:

Slope=-4/-3

Step-by-step explanation:

x1=7, x2=4, y1=5, y2=1

m=y2-y1/x2-x1

m=1-5/4-7

m=-4/-3

which expression is equivalent to 7a-8-12a+4​

Answers

Answer:

-5a-4

Step-by-step explanation:

7a-8-12a+4

7a-12a-8+4

=-5a-4

PLEASE HELP! i have to turn this in by the end of the day. PLEASE DONT GUESS :)

Answers

1) can’t
2can
3cant
4cant

what are composite numbers out of 49, 35, 32, 41, and 47​

Answers

41 and 47 because there is no multiplication fact for those numbers

Step-by-step explanation:

Composite numbers are 32,35,and 49 .

I hope it's helpful!

if JK is the midsegment of triangle GHI, find x

Answers

Answer:

C. 11

Step-by-step explanation:

Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:

JK = ½(HI)

HI = 22

Therefore,

JK = ½(22)

JK = 11

If EH = 18 and FG 1 EH, solve for the measure of EG.

Answers

Answer:

9

Step-by-step explanation:

If its perpendicular, it probably bisects EH, so just split it in half.

Which is bigger 1/4 or 0.21

Answers

Answer:

1/4

Step-by-step explanation:

1/4=0.25

Distribute -3(2n + 8)​

Answers

Answer:

-6n - 24

Step-by-step explanation:

-3(2n) = -6n

-3(8) = -24

Solve the equation3/5G - 1/3= -10/3
G=

Answers

Answer:

g = 5/59

Step-by-step explanation:

Ya the guy in front of me is correct

Chris and Maddie share in the ratio 3:5 How much do they each receive?

Answers

whats the starting anount?


2. Using the ruler below, construct a triangle that has side lengths of 3 cm, 4 cm, and 5 cm.
triangle does this appear to be? Verify by using your protractor to measure angles.
What type of

Answers

Step-by-step explanation:

if to apply the Piphagorean theoreme, then one of the angles is 90° (opposite to the side with the length 5):

3²+4²=5²; ⇔ 9+16=25.

0.7 is 0.5% of what number?

Answers

...............140...............

140. Hope this helps !!(:

Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2) and (2, ) D. (, -1] and [2, )

Answers

Answer:

b

Step-by-step explanation:

Answer:

(-∞, -1) (-1, 2) (2, ∞)

Step-by-step explanation:

what is the value of the y coordinate of point A​

Answers

Answer:

E  on Edge

Step-by-step explanation:

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400


Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?

Ashley:p=2d
Carly:p=d+5

Answers

They would on day 4 that they would be on the same page

A small pump can drain a pool in 9 hours. A large pump could drain the same pool in 3 hours. How long​ (to the nearest​ minute) will it take to drain the pool if both pumps are used​ simultaneously?

Answers

Answer: 22.5 hours

Step-by-step explanation:

Let t be the time taken by both of the pumps to drain the pool.

Given: Time taken by pump 1 to drain the pool alone= 9 hours.

Time taken by pump 2 to drain the pool alone= 3 hours.

If  both pumps are used​ simultaneously, then

[tex]\dfrac1t=\dfrac19+\dfrac13\\\\\Rightarrow\ \dfrac1t=\dfrac{1+3}{9}\\\\\Rightarrow\ \dfrac1t=\dfrac49\\\\\Rightarrow\ t=\dfrac94\\\\\Rightarrow\ t=2.25[/tex]

Hence, it will take 22.5 hours to drain the pool if both pumps are used​ simultaneously.

What is the perimeter of the figure

Answers

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38


Factorise fullyc^3+ c^2​

Answers

Answer:

c^2( c+1)

Step-by-step explanation:

c^3+ c^2​

The greatest common factor is c^2

c^2( c+1)

Write the number in standard form and expanded form. Three million four hundred eighty- seven thousand six hundred fifty-one​

Answers

Answer:

down below

Step-by-step explanation:

3,487, 651

(3 x 1,000,000) + (4 x 100,000) + (8 x 10,000) + ( 7 x 1,000) + (6 x 100 ) +

(5 x 10) + (1 x 1)

The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total help plz

Answers

Answer:

35

Step-by-step explanation:

3x=28

x=7

no.of total students=35

3+1=4
28/4=7
3*7=21
1*7=7
28+7=35

PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS

Answers

Answer: See step by step

Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle  6 and 7 are supplementary angles because they forma linear pair.

Answer:

I have multiple answers for this.

Verticle Angles: 2 &4, 3&1, 6&8, 7&5

Supplementary Angles: 2&1, 2&3, 3&4, 1&4, 6&7, 7&8, 6&5, 5&8

Step-by-step explanation:

Verticle angles are aross from one another, not next to each other, while the Supplementary angles ARE next to each other and not across from one another. I hope this helps you :)

earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth

Answers

Answer:

[tex]33[/tex] times

Step-by-step explanation:

Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles

Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles

Find [tex]\frac{d}{D}[/tex].

[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]

Therefore,

Neptune is approximately [tex]33[/tex] times farther from the sun than earth

Help help help help please this is due soon

Answers

Answer: (2,-1)

Step-by-step explanation:

Answer:

A'(1, -2)

Step-by-step explanation:

The rule for a rotation by 270° about the origin is:

(x, y) → (y, - x)

Apply the rule to the point A, which has coordinates of (2, 1)

A(2, 1) → A'(1, -2)

Let f(x) be defined on the positive real numbers as follows:

Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.

Required:
Write a formula for f(x).

Answers

Answer:

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Step-by-step explanation:

We have to find the formula for f(x)

Let x be the number

According to question

Now,

[tex]\sqrt{x}+x+3[/tex]

Now,

After squaring  we get

[tex](\sqrt{x}+x+3})^2[/tex]

Add x+2 to above result then, we get

[tex](\sqrt{x}+x+3})^2+2+x[/tex]

Then,

[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Therefore, the formula for f(x) is given by

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Which expression is equivalent to 4x - (3x2 + x) + 5 - (2x2 + 1)?

Answers

4x - (3x^2 + x) + 5 - (2x^2 + 1)

4x + x - 3x^2 - 2x^2 + 5 + 1

= 5x - 1x^2 + 6

Therefore the equivalent is 5x - 1x^2 + 6

A tree grows at a rate of 30 cm per year. If the tree is 5 meters tall
now, how tall will it be in 4 years?
Hint: Find the relationship between centimeters and and meters.

Answers

Answer:

Step-by-step explanation:

30 cm per year

now the tree is 5m

in 4 years the tree grew 4*30=120cm=1m 20 cm

the tree is 5+1.20 cm=6.20m tall

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