The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step? (5 points)

A. Step 2; 6x − 6 = 2(6 + x + 2)
B. Step 2; 6x − 8 = 12 + 2x
C. Step 3; 5x − 2x = 12 − 6
D. Step 3; 5x + 2x = 12 + 6

Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 5+4=9

Now, your monthly allowance = 5/9 × 90

= 50

So, your friend's monthly allowance = 90-50 = 40

Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ2

Answer:

31.5 i think

Step-by-step explanation:i used multi if its wrong im so sorry

Answer:

10.50$

Step-by-step explanation:

if you divide the cost of 3 oranges by 1 orange you get one oranges price then multiply it by 18.

-4

Hope this helps!!! :DDD

Answer:

the answer is -16

Step-by-step explanation:

if you have the problem -10 + 6 then the answer will be -16 because -10 is bigger than 6 and six is a positive number and since -10 is bigger than you would have to go with negative

Answer:

B

Step-by-step explanation:

3(x² - 6) + 1

3x² - 18 + 1

3x² - 17

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.

I am joyous to assist you at any time.

Answer:

[tex]ST=11.2\:\mathrm{m}[/tex]

Step-by-step explanation:

Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.

In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Plugging in values, we get:

[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].

Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:

[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].

Using this, we can set up the following proportion to solve for [tex]ST[/tex]:

[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

Answer:

i think A, B, and E

im sorry if im wrong

Step-by-step explanation:

Answer:

[tex]Area = x^2 +11x + 24[/tex]

Step-by-step explanation:

Given

From the attachment, we have:

[tex]Length = x + 8[/tex]

[tex]Width = x + 3[/tex]

Required

Determine the area

Area is calculated as:

[tex]Area = Length * Width[/tex]

[tex]Area = (x+8)*(x+3)[/tex]

Open brackets

[tex]Area = x(x+3)+8(x+3)[/tex]

[tex]Area = x^2 +3x + 8x + 24[/tex]

[tex]Area = x^2 +11x + 24[/tex]

Answer:

B and E are indeed correct

Answer:day in and day out truly improves our focus, listening skills and humor skills. ... in every day life–what is your motivation for doing whatever it is you are doing? ... a big show, I make sure I remind myself that improv is fun–that's why I do it. ..

Step-by-step explanation:

Answer:

48%

Step-by-step explanation:

a little less than half is shaded

The percent of the shaded square will be 48%.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A large square is shown in figure.

Now,

In a figure,

The number of small squares = 100

And, Number of shaded squares = 48

Hence, The percent of shaded square = 48/100 × 100

                                                           = 48%

Learn more about the percent visit:

brainly.com/question/24877689

#SPJ2

Answer:

Step-by-step explanation:

x  

4

−4x  

2

+1

FACTOR

(x  

2

−(2−  

3

​  

))(x  

2

−(  

3

​  

+2))

Answer:

s= 1.401

Step-by-step explanation:

subtract 5.313 from 3.912 :D

The evaluation of the equation 3 .912+s=5.313 yields; s = 1.401

According to the questions;

Hence, we must subtract 3.912 from both sides of the equation as follows;

s = 1.401

Read more on one variable equation;

https://brainly.com/question/21528555

Answer:

x = 45

Step-by-step explanation:

1. Replace y with 15

    x - 15 = 30

2. Add 15 to both sides

   x - 15 + 15 = 30 + 15

3. Combine like terms

   x = 45

Answer:

(1.5,1)

Step-by-step explanation:

hope this hwelps! (OwO)

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Answer:

[tex](-4, 1) \: and \: (-4,7)[/tex]

Step-by-step explanation:

[tex]the \: shortest \: distance \: between \: two \: points \: can \: be \: used \: here \to \\ were : d = \sqrt{ (x_{2} -x_{1} ) {}^{2} + (y_{2} -y_{1} ) {}^{2} } \\checking \: for \: the \: pair \to \: (-4, 1) \: and \: (-4,7) \\ d = \sqrt{ (( - 4)-( - 4)) {}^{2} + (7 -1 ) {}^{2} } \\ d = \sqrt{ (- 4 + 4) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (0) {}^{2} + (6) {}^{2} } \\ d = \sqrt{ (6) {}^{2} } \\ \underline{ \boxed{d = 6}}[/tex]

Answer: Top right corner

This graph shows a curve going through x = -1, x = 0 and x = 4 on the x axis. These are the three roots or x intercepts.

The graph in the bottom right has a root of x = -4, but that's not one of the listed roots in the instructions. So we rule this graph out.

The other two graphs only have two roots, and not three, so we rule them out as well.

Step-by-step explanation:

If the degree of a polynomial function is an odd number, the ends of the graph will go in opposite directions. (one going up and one going down)

The graph must pass the x-axis at the points -1, 0, 4.

Only the top-right graph satisfies our conditions.

Answer: $9.50

Step-by-step explanation: $21-2=$19; $19÷2=$9.50

Answer:

b = 79

Step-by-step explanation:

The y-intercept is the point at which x is 0. Looking at the data table, when x is 0, y is 79.

Answer:

54% = 27/50

72% = 18/25

97% = 97/100

Answer:

50 m²

Step-by-step explanation:

2 cm for length = 5 m. 4 cm for width = 10 m. Area = width • length. 10•5=50

Answer: do 2 x 0.6

Step-by-step explanation:

there y go

Answer:

No

Step-by-step explanation: If right press thanks and rate 5/5 plz

Answer:

Not proportional.

Step-by-step explanation:

To find out if the fractions are proportional, you have to cross multiply each fraction to see if each number multiplied is the same.  2 * 4 = 8 and 1 * 9 = 9.  The numbers are not the same here so it is not proportional.

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.