The work of a student to solve the equation 3(2x − 4) = 8 + 2x + 6 is shown below: Step 1: 3(2x − 4) = 8 + 2x + 6 Step 2: 5x − 7 = 14 + 2x Step 3: 5x − 2x = 14 + 7 Step 4: 3x = 21 Step 5: x = 7 In which step did the student first make an error and what is the correct step? (5 points) a Step 2; 6x − 12 = 14 + 2x b Step 2; 6x − 7 = 2(6 + x + 4) c Step 3; 5x − 2x = 14 − 7 d Step 3; 5x + 2x = 14 + 7

Answer:

2/24

Step-by-step explanation:

This is because there are chance of getting the other colors.

Answer:

80 Strawberries

Step-by-step explanation:

If she picked 120 strawberries in 6 hours

Then in 1hour she picked 120/6 = 20 strawberries

Then in 4 hours she picked 20×4 = 80 strawberries

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer:

OD

Step-by-step explanation:

Answer:

It's OD

p explanation:

Answer:2750 milliliters

Step-by-step explanation:

because 0.55Lx5=2.75L.and if we put it into  milliliters it would be 2750 milliliters

Answer:

8x-8

Step-by-step explanation:

P=s+s+s+s or in this case P= 2l+2w

P= 2(x-5)+2(3x+1)

P=(2x-10)+(6x+2)

P=8x-8

8x-8 will be the perimeter of a rectangle with length (x-5) and width (3x+1).

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given that,

Length of rectangle = x - 5

Width of rectangle = 3x + 1

Now,

Perimeter of rectangle = 2(width + length)

Perimeter of rectangle = 2(3x + 1 + x - 5)

The perimeter of the rectangle = 8x - 8

Hence "8x-8 will be the perimeter of a rectangle with length (x-5) and width (3x+1)".

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Answer:

16000

Step-by-step explanation:

Simply add the two roughly in your head and round up or down to nearest thousand

Answer:

1. coefficient

2. constant

3. variable

4. inequality

5. equation

6. two step

Step-by-step explanation:

i think this is how it is supposed to be

Answer:

David will have his membership for 3 months.

Step-by-step explanation:

For the first month + the one-time mobile fee, that is $15 for one month + $5 for the fee.

So far, he has been charged $20.

Another month's cost is $15 more, which will bring his total cost to $35.

Another month's cost is $15 more, which will bring his total cost to $50.

If Netflix charges David $50, that means he will have paid the mobile fee, and have had his membership for 3 months.

The answer is B

It's not A, C, or D, because they all are stated as integers, which cannot be irrational

Answer:

the 1st one 2,5,9 I think

Step-by-step explanation:

If i was thought right (which I did teach myself cause I don't have a math teacher right now) the first two numbers should be added together and be less than the last one. 2,5,9 is the only one that would fit in this case.

Answer:

156 different pairs will be there.

Step-by-step explanation:

As the order is  essential as we need different pairs therefore permutations will be used.

A permutation is any ordered subset of the objects r selected with regard to their order, from the set of  n distinct objects. It is given by nPr where n> r

Total number is 13 and required number is 2

n= 13 and r= 2

13 P2= 156 possible combinations.

A combination is any subset of the objects r selected without regard to their order, from the set of  n distinct objects. It is given by nCr where n> r

Answer:

C 4.8cm^3

Step-by-step explanation:

The volume of the pyramid is 4.8 cm³.

Given that a pyramid with base side length is 2 cm, we need to find the volume of the pyramid,

Volume of a pyramid = 1/3 × base area × height

So,

We have ∠ABC = 45°, in right triangle ΔACB,

Since ∠ABC = 45° therefore, ∠BAC = 45°,

So, AC = BC = 3.6 cm,

So, the volume = 1/3 × 2² × 3.6

= 4 × 1.2

= 4.8

Hence the volume of the pyramid is 4.8 cm³.

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Answer:

according to the question value got less 12% each year

first of all the 12% of 29000$ = 29000÷100×12= 3480 $

in one year truck value deprecates 3480$

in 10 years it will 3480$×10 =34800$

now truck cost will be = 29000-34800$= -5000$

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

If you divide x from y on each row, you will always get 3.5

Answer:

22

Step-by-step explanation:

What you need to do to find the base is divide the area by the height, which would be 330/15! Hope this helps! :)

Answer:

5+10=15

15×4÷2

60÷2

=30

Answer: W=15

Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74

2(22) + 2W=74

44+2W=74

Subtract 44 from both sides

2W=30

Divide both sides by 2

W=15

Answer:

There is 2.887 quarts of oil in the funnel

Step-by-step explanation:

Complete question

A funnel is in the shape of a cone with a radius of 4 inches and a height of

10 inches. The funnel is filled with oil. How many quarts of oil are in the funnel?

Solution

As we know, volume of the cone is given by

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

Here,

V = volume of the cone

r is the radius of the base of the cone

h is the height of the cone

Substituting the given values in above equation, we get -

[tex]V = \frac{1}{3} *3.14*4*4*10\\V = 167.467[/tex] Cubic inch

As given

1 quarts = 58 cubic inch

Total number of quarts of oil

[tex]\frac{167.467}{58} \\2.887[/tex]

There is 2.887 quarts of oil in the funnel

Answer:

Its probably B

Step-by-step explanation:

Sorry if im wrong

Answer:

2sin^2(3x)

Step-by-step explanation:

The given expression is equivalent to [tex]2\sin^{2}{3x}[/tex].

What is trigonometry identity?

When trigonometric functions are used in an expression or equation, trigonometric Identities come in handy.

One of the trigonometry identity is  [tex]\cos2x=2\cos^{2} x-1[/tex].

What is the simplified expression for given expression?

In the given expression [tex]\cos6x[/tex] can be break as [tex]\cos(2\cdot3x)[/tex].

Now use the identity [tex]\cos2x=2\cos^{2} x-1[/tex] in the given expression.

[tex]1-\cos6x=1-2\cos^{2}{3x}+1[/tex]

[tex]=2(1-\cos^{2}{3x})[/tex]

Now use the identity [tex]1-\cos^{2}x=\sin^{2}x[/tex].

[tex]1-\cos6x=2\sin^{2}{3x}[/tex].

Therefore, the given expression is equivalent to [tex]2\sin^{2}{3x}[/tex].

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Answer:

A rectangle.

Step-by-step explanation:

The shape of the data distribution is a rectangle.

Answer:1 and 4

Step-by-step explanation:

0 > -2 is true

5 > -2 is true

Answer:

12

0.6/0.05

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Step-by-step explanation:

number of pieces = total weight of the cheese / weight of each piece

0.6 / 0.05

to divide easily, convert the decimals to whole number by multiply both the denominator and numerator by 100

(0.6 x 100) / (0.05 x 100)

= 60/5 = 12

Answer: $53.24

Step-by-step explanation:

Find the sales tax:

9.5*63.00=598.5

Then divide 598.5 by 100: 598.5/100= 5.985

Round: $5.99 ( sale tax amount )

Now we find the discount: 25*63.00= 1,575

Then divide it by 100 : 1,575/100= $15.75 ( discount amount )

Take the original price of the game and subtract it by the discount amount, then add the sales tax amount: 63.00-15.75= 47.25+5.99= $53.24

Answer: $53.24

Your welcome :)

Answer:

49,886

Step-by-step explanation:

Answer:

[38]

Step-by-step explanation:

Answer:

B.  6Fx + 6Gy = 6H

   Qx + Ry = S

Step-by-step explanation:

Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.

_____

Comments on other choices

A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.

B: the correct choice

C: see A.

D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.

Answer:

6Fx + 6Gy = 6H

  Qx + Ry = S

Step-by-step explanation: