A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6.

Answer:

Step-by-step explanation:

1.4x - x = 0.4x

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

6 ≥ 12 (1-0.10)t      divide both sides by 12

0.5 ≥ (0.9)t            take log of both sides

log (0.5) ≥ log (0.9)t     power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9)     divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t     use calculator

6.57 ≤ t

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

Answer:

4.) -3x² - 5x + 7

- 3 * -2 * -3 * -2

+6 * +6 - 5 * -2

36 - (+10)

36 - 10 = 26

5.) 3x² - 7y²

3 * x  X  3 * x - 7 * y X 7 * y

3 * 2 X 3 * 2 - 7 * 3 X 7 * 3

6 * 6 - 21 * 21

36 - 441 = -405

6.) 4(x - 2y)

   ________

       x + y

   4 * x - 4 * 2 X y

  _____________

    x + y

  4 * 4 - 4 * 2 X -2

 16 - (+16)

 16 - 16 = 0

7. π + x√3y

  22/7 + -3√15

                3094

                _____

  22/7 + -11

                5000

      2380

= -8 ______

      5000

Step-by-step explanation:

Please mark me as brainliest

Answer:

Step-by-step explanation:

3x+4=31

subtract 4 on both sides That gives you

3x=27

now divide 27 by 3

that gives you X=9

———————————————-

3(2x+1)

you distribute 3 into the parentheses

so 3 x 2x is 6x 3x1 is 3

so its 6x+3

————————————————

1/2(16x-8)=2(x+16)

first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right

which gives you 8x-4=2x+32

then you combine like terms 8x+2x is 10x and -4+32 is 28

so you answer to this one is 10x+28

Answer:

Step-by-step explanation:

GIRL! You should add diagrams to these types of questions. It would really help

That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.

And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm

Answer:

the answer is fjdixekd

Answer:

1325

Step-by-step explanation:

53 * 25 =

   Break it apart to solve without a calculator

5 * 25 = 125 and we add a 0 because it's 50 * 25 so 1250

now multiply 3 * 25 = 75

Add them

1250 + 75 = 1325

You can't simplify further.

Answer:

1325

Step-by-step explanation:

53 * 25 = 1325

That's as simple as you can get

Answer:

x= c - b / A

please look at the step by step explanation to better understand :)

Step-by-step explanation:

subtract b from the left side and right side

so you are left with Ax = c - b

divide what number c - b is by A

and you are left with x= c - b / A

Answer:

No.

Step-by-step explanation:

π is a irrational number; therefore, π × 17 is also irrational number.

Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

Answer:

a) (-2, -1)

b) (-3, 0) and (-1, 0)

Step-by-step explanation:

The turning point is the same as the vertex of the graph.

The vertex would be (-2, -1).

The zeros of the equation would be where the graph crosses the x-axis when y = 0.

The roots would be (-3, 0) and (-1, 0).

Answer:

7 7/8

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

63/8

Decimal Form:

7.875

Mixed Number Form:

7 7/8

Answer:

Step-by-step explanation:

-5x the base

• Answer:

x = 2

• Step-by-step explanation:

AB = AC/2 = 16/2 = 8

AB = 2x + 4

8 = 2x + 4

2x = 8 - 4

2x = 4

x = 4 : 2

x = 2

Answer:

For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS

Answer:

Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.

g (f(-3)) = -6 is your answer

Answer:

Step-by-step explanation:

What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.

firstly we need to model the inequality (equation) for this scenario.

the constant fee= $3 additional fee for helmet

[tex]3+15n\leq 65\\\\[/tex]

We can now solve for n since the above inequality satisfies the condition presented in the problem statement.

 [tex]3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62[/tex]

Divide both sides by 15 to find n

[tex]n\leq 62/15\\\\n\leq 4hrs -8min[/tex]

Answer:

5y - 6 = (-16)/3

Step-by-step explanation:

1. Step:

Solve for y:

5 y + 2 = 8/3

Subtract 2 from both sides:

5 y + (2 - 2) = 8/3 - 2

2 - 2 = 0:

5 y = 8/3 - 2

Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:

5 y = 8/3 - (2×3)/3

3 (-2) = -6:

5 y = 8/3 + (-6)/3

8/3 - 6/3 = (8 - 6)/3:

5 y = (8 - 6)/3

8 - 6 = 2:

5 y = 2/3

Divide both sides by 5:

y = (2/5)/3

3×5 = 15:

Answer:  y = 2/15

2. Step.

Evaluate 5 y - 6 where y = 2/15:

5 y - 6 = 5×2/15 - 6

5×2/15 = (5×2)/15:

(5×2)/15 - 6

5/15 = 5/(5×3) = 1/3:

2/3 - 6

Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:

2/3 - (6×3)/3

3 (-6) = -18:

2/3 + (-18)/3

2/3 - 18/3 = (2 - 18)/3:

(2 - 18)/3

2 - 18 = -(18 - 2):

(-(18 - 2))/3

| 1 | 8

- | | 2

| 1 | 6:

Answer:  (-16)/3

Step-by-step explanation:

this is the ans in my view

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Given

(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression

= (- 6)(- 2(1) - 4(3) )

= (- 6)(- 2 - 12)

= (- 6)(- 14)

= - 6 × - 14

= 84

Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

Answer:

B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

Step-by-step explanation:

I hope I was helpful :)

Answer:

 Y 2,1   X 0,1    W 0,4   Z 3,5  will be the new reflected points

Step-by-step explanation:

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Answer:

wow sry this is a tuff one :(

Step-by-step explanation:

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

A direct variation equation has the following format:

[tex]y=kx[/tex]

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

[tex]12=-2k[/tex]

Divide both sides by -2:

[tex]k=-6[/tex]

So, our direct variation equations is:

[tex]y=-6x[/tex]

To find what x is when y equals -6, substitute in -6 for y:

[tex]-6=-6x[/tex]

Divide both sides by -6:

[tex]x=1[/tex]

So, our answer is 1 :)

Answer: 395+30x

Step-by-step explanation:

Given : Mitchell has $395  now.

He saved $30 each week.

Let x be a variable that represents the number of weeks.

Since, Total amount = Current money + (Money save each week ) (Number of weeks)

Then,  Total amount =  (395 ) + (30)(x)

= 395+30x

Hence, the required algebraic expression= 395+30x

Answer:

t = d/V

Step-by-step explanation:

V = d/t

Multiply each side by t

Vt = d/t *t

Vt = d

Divide each side by V

Vt/V = d/V

t = d/V