Could you please Help Me?
The work of a student to solve the equation
2(5y − 2) = 12 + 6y is shown below:

Step 1: 2(5y − 2) = 12 + 6y
Step 2: 7y − 4 = 12 + 6y
Step 3: y − 4 = 10
Step 4: y = 14
Step 5: y = 7
In which step did the student first make an error and what is the correct step? Step 2: 7y − 4 = 6 + 3y
Step 2: 10y − 4 = 12 + 6y
Step 3: 5y − 2 = 2(10 + 3y)
Step 3: 2(5y − 2) = 10 + 3y​

Answer:

x = 16√3

y = 8√3

z = 24

Step-by-step explanation:

From the figure attached,

By applying cosine rule in ΔABD,

cos(45°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{z}{24\sqrt{2} }[/tex]

z = 24

By applying sine rule in ΔABD,

sin (45°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{\sqrt{2} }=\frac{AD}{24\sqrt{2} }[/tex]

AD = 24

By tangent rule in ΔADC,

tan(60)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\sqrt{3}=\frac{AD}{DC}[/tex]

[tex]\sqrt{3}=\frac{24}{y}[/tex]

y = 8√3

Similarly, by sine rule in ΔADC,

sin(60°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}= \frac{AD}{AC}[/tex]

[tex]\frac{\sqrt{3} }{2}= \frac{24}{AC}[/tex]

AC = 16√3

x = 16√3

Answer:

I think the answer is J

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

rule: sum of two angles in triangle, should always be higher then the other angle: 13+9=22,

it should be bellow 22. it can not be D

Answer:

It is already rounded

Step-by-step explanation:

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

B

Step-by-step explanation:

Answer:= 13

Step-by-step explanation:

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Answer:

72

Step-by-step explanation:

Find the LCM

6=2x3

8=2x2x2

9=3x3

12=2x2x3

LCM=2³x3²

       =72

Answer:

-4+(-2)=-6

Step-by-step explanation:

So the arrow goes from -4 to -6 so the end answer is -6 and -4-2 is -6

Answer:

49

Step-by-step explanation:

you need to multiply all them and get 49

Answer:

0

Step-by-step explanation:

3(-3-3x)+4=-5

3(-3-3x)=-9

-9-9x=-9

-9x=0

0/-9=0

Answer:

301,250,000

I'm pretty sure that's it.

Answer:

x=10/7

Let's solve your equation step-by-step

6x−1=−x+9

Step 1: Add x to both sides

6x−1+x=−x+9+x

7x−1=9

Step 2: Add 1 to both sides

7x−1+1=9+1

7x=10

Step 3: Divide both sides by 7

7x/7=10/7

x=10/7

Answer:

x = 10 / 7

Step-by-step explanation:

6x - 1 = -x + 9

Add 1 to both sides of the equation.

6x - 1 = -x + 9

6x - 1 + 1 = -x + 9 + 1

Simplify

Add the numbers

6x - 1 + 1 = -x + 9 + 1

6x = -x + 9 + 1

Add the numbers

6x = -x + 9 + 1

6x = -x + 10

Add x to both sides of the equation.

6x = -x + 10

6x + x = -x + 10 + x

Simplify

Combine like terms

6x + x = -x + 10 + x

7x = -x + 10 + x

Combine like terms

7x = -x + 10 + x

7x = 10

Divide both sides of the equation by the same term

7x = 10

7x/7 = 10/7

Simplify

Cancel terms that are in both the numerator and denominator.

7x/7 = 10/7

x = 10/7

Solution

x = 10/7

Answer:

-6/9 = -2/3 (C)

Step-by-step explanation:

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

Answer:

I believe that the answer is 2x-8

Answer:

1.Human skin is thicker than the grain of sand.

2.It will take 5 grains of sand to match the thickness of a humans skin

Step-by-step explanation:

Answer:

Step-by-step explanation:

the ratio between similar triangles are constant.

so 11/14 has to be equal to z/8 and also a15 = 11/14

so from this we can conclude that z = 8*14/11 = 10.18

Answer:

z = 11 and a = 12

Step-by-step explanation:

These two triangles are similar, in this case, the same angles but different sizes. The answer to this problem is the length of the sides of the triangles. You are given the right side's length on both triangles. The first triangle's sides are 3 (inches, cm, whatever form of measurement is being used) bigger than the second triangle's. Using this information, you can figure out the quantity of both a and z.

Hope this helps.

Answer:

ye

Step-by-step explanation:

sorry!

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]

Nope that's not what we're looking for.

Choice B:

[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

[tex]6^{*3},18^{*3},54^{*3},162[/tex]

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]

Nope this is not it either.

Answer:

Circle man ez

Step-by-step explanation:

Answer:

Circle

Step-by-step explanation:

There is no way you could cut this where you would get a circle.

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

[tex]y = mx+b[/tex]

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

Answer:

20/5

36/2

16/6

10/5

24

Step-by-step explanation:

didnt have the square root on my key board

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Answer:

zuzhztxrctwhdvdhsuwjd

Answer:

B= -3

Step-by-step explanation:

So first distribute what you can

12b+2=4b-20-2

Now combine like terms

12b+2=4b-22

Now subtract 2 on both sides

12b=4b-24

Now subtract 4b on both sides

8b=-24

Now divide 8 on both sides

b= -3