10. A student solves the following problem:
Problem:
2 (x-3) + 3x = 19
2x - 6 + 3x = 19
(2x + 3x) - 6 = 19
5x - 6 - 19
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
5x - 6+ 6 = 19+ 6
5x = 25
X = 5
What property justifies step 4?
a. Commutative Property of Addition
c. Multiplication Property of Equality
b. Addition Property of Equality
d. Substitution

Answer:

11,3

Step-by-step explanation: basic midpoint formula

Given:

Consider the two points are B(2,3) and B'(-4,-6).

Center of dilation is the origin.

To find:

The scale factors of this dilation that transformed B into B'.​

Solution:

If a figure dilatated by scale factor k and center of dilation is the origin, then

[tex](x,y)\to (kx,ky)[/tex]

It means, the point after dilation is

[tex](x',y')=(kx,ky)[/tex]

where, k is the scale factor.

[tex]k=\dfrac{x'}{x}[/tex]

x-coordinate of image is -4 and x-coordinate of original point is 2.

[tex]k=\dfrac{-4}{2}[/tex]

[tex]k=-2[/tex]

Therefore, the scale factor is -2. It means, the point and image lie on the opposite sides of center of dilation.

Answer:

8(23) so 184

Step-by-step explanation:

Answer:

it would have traveled 184 feet

Step-by-step explanation:

Since the rate in which the fish is swimming is 8 feet per second and given that we have to figure out the distance in which it traveled in 23 seconds, we can just multiply 8× 23 to receive 184 feet in 23 seconds.

Answer:

Because both lines intersect at one given point, this means that wherever they intersect both lines will have the same length on each side because that one point serves as the half way point between the intersection. meaning that if two lines cross and it creates the vertical angle of 150⁰ then by definition the side that is across that intersection point will also be 150⁰

Answer:

Step-by-step explanation:

If two lines i.e. AB & CD intersect each other. They have two pair of opp. angles.

i.e.

∠AOC,∠DOB,∠AOB,∠COB.

To prove :- ∠AOC=∠DOB & ∠AOD=∠COB

Proof :-

∠AOC+∠AOD=180 °

  [linear pair] ___(1)

∠AOD+∠BOD=180°  

   [linear pair] ___(2)

from eq. (1) & (2)

∠AOC+∠AOD=∠AOD+∠BOD

i.e.  [∠AOC=∠BOD]

Similarly [∠AOD=∠COB]

Hence proved.

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

-6

Step-by-step explanation:

add -3n and -4n= -7n

add 17 to 25

-7n=42

n=-6

The value of x is 42. Multiply the top and bottom by 6 because the numerator in the first fraction is 2 and the numerator for the second fraction is 12. When you multiply 2 by 6, you get 12. You have to do the same for the denominator. multiply 7 by 6. You get 42. The value of x is equal to 42. Hope this helps.

Answer:

42

Step-by-step explanation:

First, you cross multiply.

12 x 7= 84

2 multiplied by x will give you 2x.

Now, you have the equation below left:

84=2x

Then, you divide by 2 on both sides (in order to leave x by itself):

84/2= 42

x=42

Answer: 200 feet

Step-by-step explanation:

1000feet/5feet= 200feet

Answer:

200 feet per minute

Step-by-step explanation:

Speed = Distance/Time

Since you want to find the "per minute", you would just divide the total distance by the number of minutes:

1000 feet / 5 minutes = 200 feet per minute

Answer:

$0.18 per ounce

Step-by-step explanation:

$3.87/21=0.1842857....

Round to the nearest $0.01

1 ounce box cost $0.182.

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

21-ounce box of cereal costs $3.87

So, 1 ounce box cost= 3.84 / 21

                                  = $0.182

Hence, 1 ounce box cost $0.182.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

x = 8

Step-by-step explanation:

I hope this helps!

Answer:

The relation is a function because there isnt a repeating y

Answer:

y= -3x

Step-by-step explanation:

Answer: 15.6

Step-by-step explanation: k/13 = 6/5 = 15.6

Answer:

They are not equivalent.

Step-by-step explanation:

x(3x) = 4x

x by itself = 1x

1x ( 3x ) = 4x

1x times 3x = 3x

3x = 4x is not equivalent.

Answer:

it is the first one

Step-by-step explanation:

Answer:

angle Y is 29 degrees

angle X is 120 degrees

Step-by-step explanation:

Well, if the triangle is an equilateral, then all the angles are equal to

60 degrees

that means the the angle at the top point is 60+31 = 91 degrees

the right point is 60 degrees

every triangle has 180 degrees total

180 - (91+60) = 29 degrees

NOW FORGET ABOUT THE EQUILATERAL FOR A BIT

180 = 31+x+29

simplify

180 = 60+x

subtract 60 from both sides

120 = x

Answer:

form an idea of the amount, number, or value of; assess

Step-by-step explanation:

Answer:

I evaluate them for opportunities, "he said. He stopped to evaluate the gilded ornaments."

Answer:

x=[tex]\geq[/tex]80-27

Step-by-step explanation:

there is needed atleast 80 tickets and you've given 27 so you would need a minimum of 53 tickets to make the inequilaty true

Answer:

$13.75 per gallon

Step-by-step explanation:

To solve for any unit rate you use

[tex]\frac{1}{x} =\frac{5}{68.75}[/tex]

Cross multiply.

So 68.75 = 5x

Divide both sides by 5 to get x alone.

13.75 = x

Therefore 1 gallon equals $13.75

Answer:

Get a tissue blow your nose and wipe your tears

Step-by-step explanation:

Tell Mommy

Answer:

See below and learn

Step-by-step explanation:

To solve the figure. You need to split the shape up with the lines shown.

Let's solve the top triangle first.

The formula to find the area of a triangle is y = 1/2(b*h)

So the base is 2+2+6 which equals 10. And the height is 4.

So y = 1/2(4*10)

PEMDAS solve parentheses first.

y = 1/2(40)

y = [tex]20cm^{2}[/tex]

Now solve the bottom left one.

y = 1/2(2*2)

y = 1/2(4)

y = [tex]2cm^{2}[/tex]

Now the bottom right triangle.

y = 1/2(6*2)

y = 1/2(12)

y = [tex]6cm^{2}[/tex]

And to solve area of a square is

y = b*h

y = 2*2

y = [tex]4cm^{2}[/tex]

And add all of it up to get

y = [tex]20cm^{2}+2cm^{2} +6cm^{2} +4cm^{2} = 32cm^{2}[/tex]

Area = [tex]32cm^{2}[/tex]

Answer:

11x + 20

Step-by-step explanation:

x2 + 9x + 20

2x + 9x + 20

11x + 20

Hope this helped!

Answer:

(x + 5)(x + 4)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

x² + 9x + 20

Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (+ 9)

The factors are + 5 and + 4, since

5 × 4 = + 20 and 5 + 4 = + 9 , thus

x² + 9x + 20 = (x + 5)(x + 4) ← in factored form

Answer:

no this is wrong statement two odd numbers always gives u an even number

example: a) 5+3=8

b) 13+7+20

Step-by-step explanation:

Answer: -1

3 + (-4) = -1

Answer:

y = x-3

y = x +3

Dependent

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Airpods=$150 iPhone=1050

Step-by-step explanation:

$1,200/8=150 150*7=1050

I might be wrong tho

Answer:

B

Step-by-step explanation:

abs value of -9 is still 9, so it should be "="

Answer: the greater mean is Store A, the greater median is Store A, the greater range is Store B

Step-by-step explanation: