estimate quotients using compatible numbers lesson 4.5 answer key

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

Answer:

y=-2/3

x=-20/3

The relationship between the number of pentagons and the perimeter will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].

Also, each time another pentagon is attached, a side is removed.

Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows

For [tex]x=\text{number of sides}=1[/tex]

[tex]y=\text{perimeter}=3\times 5=15units[/tex]

For [tex]x=2[/tex]

[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]

For [tex]x=3[/tex]

[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]

The relationship will be

[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]

Learn more about perimeter here: https://brainly.com/question/17756657

Answer:

let the weight of all the eggs be x g

therefore..

3x = 120

[tex] \\ x = \frac{120}{3} \\ x = 40g[/tex]

hope helpful~

Set up an equation:

4x + 8y = 200

200/4 = 50

200/8 = 25

They callus sell 50 student tickets and 0 adult tickets

They could sell 0 student tickets and 25 adult tickets.

They could sell 10 student tickets and 20 adult tickets

They could sell 10 adult tickets and 30 student tickets

Answer:

0.1 Inch

Step-by-step explanation:

If the image is 0.1 inch, and it is magnified by 10, 0.1 times 10 will give you the new size of the image after it is magnified. You can undo it by dividing 10 since you would multiply it to magnify it.

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

The answer is X>-2. I uploaded a picture of the steps below. Hope this helps. :)

Answer:

  (x, y) = (2, -5)

Step-by-step explanation:

The coefficient of y in the second equation is an integer multiple of the coefficient in the first equation, so it is convenient to eliminate y. Subtracting 3 times the first equation from the second, we have ...

  (-2x +3y) -3(-7x +y) = (-19) -3(-19)

  -2x +3y +21x -3y = -19 +57 . . . . . . . eliminate parentheses

  19x = 38 . . . . . . . . . simplify

  x = 2 . . . . . . . divide by 19

  -7(2) +y = -19 . . . . . substitute for x in the first equation

  y = -5 . . . . . . add 14

The solution is (x, y) = (2, -5).

Answer : i believe 100 X is 13 Z is 12

Step-by-step explanation:

sorry if im wrong

[tex]a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48[/tex]

Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work

Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)

Answer:

2/3

Step-by-step explanation:

I hope it's the answer. if it isn't tell me so that I can try it again bye.

Answer:

y=3x +4

Step-by-step explanation:

your y intercept is 4, go 3 down 1 across and that is the slope.

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

Answer:

it's the 2nd one

Step-by-step explanation:

yeah it's the 2one

Answer:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

Answer:

2.45, 2.46, 2.47, 2.48, 2.49, 2.52, 2.52, 2.53 and 2.54 all round to 2.5 when being rounded to the nearest tenth.

Tenth = 0.1.

Hope that helps. x

Answer:

The length of the base of this parallelogram is 34.2

Step-by-step explanation:

To calculate the length, we work backward and calculate the base by doing area/height

We have 690.84/20.2 = 34.2

I hope this explained your confusion

Answer:

k = -3/4

Step-by-step explanation:

The lines will be parallel if their slopes are equal.  To find the slope of each line, write its equation in slope-intercept form (y = mx + b).  In other words, solve each equation for y and look at the coefficient of x.

2x + 3y = 4k

3y = -2x + 4k

y = (-2/3)x + 4k/3

The slope of the first line is -2/3.

x - 2ky = 7

-2ky = -x + 7

y = [1/(2k)]x - 7/(2k)

The slope of the second line is 1/(2k).

If the slopes are equal, then

1/(2k) = -2/3

Multiply by 2k.

1 = (-2/3)(2k) = (-4/3)k

1 = (-4/3)k

k = -3/4

Answer:

270 or 34.5

Step-by-step explanation:

1. (6.9)= 54

54x5= 270

2. 6.9x5= 24.5

Hopes This Helps :)

Answer:

Step-by-step explanation:

3 3/8 changes to 27/8 because we multiply 3*8=24 and then add 24 to 3 = 27

same thing for 1 1/4

and then while dividing we flip the left hand side meanig 5/4 becomes 4/5 and division changes to multiplication

Answer:

810 cm squared

Step-by-step explanation:

30 = height

multiply 30 by 2 = 60

subtract 60 from 114 = 54

divide 54 by 2 = 27 = width

multiply 27 x 30 to get 810 cm squared

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation:

[tex]f(x) = -4x +3\\\\f(-3) = -4(-3) +3 = 12 +3 = 15[/tex]

What we know:

Korena is paid $40 every five times she does the job

What we need to figure out:

How many times does she have to do it to earn $100

Math:

First I'm going to figure out how much she makes each time she weeds

Money earned ÷ Amount of times

40 ÷ 5

= 8

In order to determine the rest of the time we are going to multiply everything we know by 2

Korena is paid $80 if she does it 10 times

We clearly aren't going to do that again because that will surpass the amount so now we are going to use the unit rate we figured out;

($8 per time)

Korena is paid $88 if she does it 11 times

Korena is paid $96 if she does it 12 times

Korena is paid $104 if she does it 13 times

Statement

Therefore if Korena weeds the garden 13 times she will make $104 surpassing the $100 needed.

Since "p" represents the number of pounds of peanuts and:  

4.05p + 14.40 = 4.50(p + 3) [then by distributing we have:

4.05p + 14.40 = 4.50p + 13.5 [then by subtracting 13.5 from both sides we have:

4.05p + 0.9 = 4.50p [then by subtracting 4.05p from both sides we have:

0.9 = 0.45p [then by dividing both sides by 0.45 we have:

2 = p

So there are 2 pounds of peanuts needed for the trail mix.

Answer:

The answer is

→ 533.333333333 or 533.33 (Rounded up to the hundredths)

Step-by-step explanation:

Given: How many 3/4 can fit in 400.

Step 1: Indentify what 3/4 equals.

3/4 = 0.75

Step 2: Divide 400 by 0.75

400 / 0.75 = 533.333333333

Step 3: Round up to the hundredths.

533.333333333 → 533.33

Hence, 533.333333333 or 533.33 is your answer.