Solve the equation 4x - 6 = 34. Write a justification for each step.


47-6= 34


Given equation


+6 +6


4x


Simplify.


= 40


4x 40


44


[2]


X= 10


Simplify


[1] Addition Property of Equality,


[2] Reflexive Property of Equality


[1] Substitution Property of Equality,


[2] Division Property of Equality


[1] Division Property of Equality,


[2] Subtraction Property of Equality


[1] Addition Property of Equality:


[2] Division Property of Equality


8

These are complementary angles because from what this shows, they add up to 90 degrees. BTW Plz give brainliest, I need 5 to get to the next level.

More information is needed to properly answer the question!

Step-by-step explanation:

(x+12)+(6x-4)+(3x+2)=180

10x+10=180

10x=170

x=17

m<W =17+12

=29

Answer:

Where is it?

Step-by-step explanation:

Answer:

OD. x=-3, y=26

Step-by-step explanation:

hope it helps

Answer:

s ∈ ( − ∞ , 1 )

Step-by-step explanation:

-2(s-7)>4s+8

-2s+14>4s+8

14>6s+8

6>6s

1>s

Answer:

(-inf, 1)

Step-by-step explanation:

Answer:

18 book copies

Step-by-step explanation:

As you can see, there is a pattern where you add the next number after x. To find where to start, let's subtract the numbers we were given:

6 - 4 = 2

9 - 6 = 3

13 -9 = 4

So our next number is to add 5 to 13: 5 + 13 = 18, so in February the bookstore will order 18 books.

I hope this helped, please mark Brainliest, thank you!

Answer:

Step-by-step explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to  log2 1 - log2 4 = 0 - 2 = -2

Answer:

-2

Step-by-step explanation:

[tex]log_2(3)-log_2(12)[/tex]

~Simplify using log properties

[tex]log_2(\frac{3}{12})[/tex]

[tex]log_2(\frac{1}{4})[/tex]

~Apply log rules

[tex]-log_2(4)[/tex]

~Rewrite

[tex]-log_2(2^2)[/tex]

~Apply log rules

[tex]-2log_2(2)[/tex]

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

Answer:

an = 7 + 5n

Step-by-step explanation:

First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.

We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.

Hence the answer an = 7 + 5n

Answer:

Step-by-step explanation:

Here's your answer..........

Answer:

Y=7.5x

Step-by-step explanation:

8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour

Answer:

So, m∠6 = 180° - x°.

Step-by-step explanation:

The answer is 180 degrees

Answer:

The First Option is Correct.

Step-by-step explanation:

[tex]d \geq 99[/tex]

Answer:

x = 6, y =3

Step-by-step explanation:

4x-7y=3

x-7y=-15

Multiply the first equation by -1

-4x+7y=-3

Then add this to the second equation to eliminate y

-4x+7y=-3

x-7y=-15

------------------

-3x +0y = -18

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

Now find y

x -7y = -15

6 -7y = -15

Subtract 6 from each side

6-7y-6 = -15-6

-7y = -21

Divide by -7

-7y/-7 = -21/-7

y =3

Answer:

117 i think

Step-by-step explanation:

because you need to find the distance from a to b which is 13 units

then you need to find the distance from b to c which is 9 units

and then 9 x 13 is 117

Answer:

41g

Step-by-step explanation:

65.6/8= 8.2g per cake

8.2*5 cakes= 41g

Answer:

Step-by-step explanation:

65.6g = 8 cakes

We need to find the sugar for 1 cake:

65.6 ÷ 8= 8.2 (gram for 1 cake)

The sugar for 5 cakes:

8.2 × 5= 41 (gram for 5 cakes)

Answer:

what

Step-by-step explanation:

Answer:

i would go with option 2, just depending on how many pounds u get for $6.58 though.

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

Answer:

80

Step-by-step explanation:

180-60=120

120-40=80

Answer:

-20

Step-by-step explanation:

y = -3x+1

if the input is 7, it means x=7 so substitute in the equation

y= -3*7+1 = -21+1= -20 which is the output

9514 1404 393

Answer:

  -1

Step-by-step explanation:

Solving the given equation for y, we have ...

  x -y = 18

  y = x - 18 . . . . . add y-18

The coefficient of x is 1. That is the slope of the given line. The desired perpendicular line will have a slope that is the negative reciprocal of this:

  m = -1/1 = -1

The slope of the perpendicular line is -1.

__

The graph shows you that a line with slope -1 is perpendicular to the given line.

Answer:

yes

Step-by-step explanation:

the picture is not clear

Answer: The temperature was 1 8/10º at the end of the day after Mother's Day

Step-by-step explanation:

5 8/10º-14 7/10º=-9 1/10º at the end of Mother’s Day

-9 1/10º+10 9/10º=1 8/10º at the end of the next day after Mother’s Day

Answer:

x - 2 and x - 1 can be possible length and width of the rectangle.

Step-by-step explanation:

Area = x² - 3x + 2

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

To find possible length and width we can factorize the above expression.

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

x² - 3x + 2 ( 2 = -1 × -2 )

x² - x - 2x + 2 ( 3 = -1 + -2 )

x(x - 1) + -2(x - 1)

(x - 2) (x - 1)

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

x - 2 and x - 1 can be possible length and width of the rectangle.

_________________________________

#teamtrees#WAP

Answer:

Area of triangle = 1/2*b*h

[tex]\frac{1}{2} * 2.8* 7.8\\\frac{1}{2} * 21.84\\\frac{21.84}{2}\\= 10.92[/tex]

Answer:

10.92 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b= 2.8 and h = 7.8 , then

A = [tex]\frac{1}{2}[/tex] × 2.8 × 7.8 = 1.4 × 7.8 = 10.92 cm²