is this relationship proportional why or why not?

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2

Answer:

2 days

Step-by-step explanation:

I figured out what 1/4 of 8 was by taking 2 and multiplying it by 4. You can also get this same answer by dividing 8 by 4.

Answer: 20

Step-by-step explanation:

First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:

= 3 × 12 = 36 inches.

Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:

= 3 feet / 9 inch

= 36 inches / 9 inches

= 4 pieces

Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:

= 4 × 5

= 20 pieces

Solution :

It is given that the length of a side of a triangle is given by 'a'.

It is an equilateral triangle.

So the three sides will be of equal length and is a, a, a units.

Now the semi perimeter of the equilateral triangle is given by :

[tex]$S=\frac{a+a+a}{2}$[/tex]

  [tex]$=\frac{3}{2}a$[/tex]

Therefore, using the Heron's formula, we can find the area of the equilateral triangle.

Area of the equilateral triangle is given by :

[tex]$A =\sqrt{S(S-a)(S-a)(S-a)}$[/tex]

[tex]$A =\sqrt{\frac{3a}{2}\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)\left(\frac{3a}{2}-a\right)}$[/tex]

[tex]$A=\frac{\sqrt3}{4}a^2$[/tex] square units.

y-5

2y+ 1

y-5

6y+7

y-5

2y+5

y-5

6y+ 7

-2y-10

2y+5

-2y-10

Answer:

[tex]10 \sqrt{3} [/tex]

Answer:

15 mph

Step-by-step explanation:

28mi=2  1/3

2   1/3 = 2 hrs 20min

110min

28/110=.254 mi per min

.25*60=15 mi per hrs

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

"If two sides of a triangle are congruent, then angles opposite those sides are congruent."

The converse of this theorem is

"If angles opposite those sides are congruent, then two sides of a triangle are congruent."

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

Answer:

Ok so since this is a vertical angle you will need to set it in a equation and solve it. Not sure if my answer would be right but let me know. I have attached a picture of me solving it. Hope this helps, thank you !!

Answer:

See Below.

Step-by-step explanation:

Statements:                                                        Reasons:

[tex]1)\text{ }\angle AOD=180[/tex]                                                  Straight Angle Theorem

[tex]2)\text{ } \angle AOB+\angle BOC+\angle COD=\angle AOD[/tex]              Angle Addition    

[tex]3)\text{ } \angle AOB+\angle BOC+\angle COD=180[/tex]                   Substitution

[tex]\displaystyle 4)\text{ } \angle AOB=\frac{1}{2}\angle BOC[/tex]                                          Given

[tex]\displaystyle 5)\text{ } \angle BOC=\frac{2}{3}\angle COD[/tex]                                          Given

[tex]\displaystyle 6)\text{ } \frac{1}{2}\angle BOC+\frac{2}{3}\angle COD+\angle COD=180[/tex]              Substitution

[tex]\displaystyle 7)\text{ } \frac{1}{2}\Big(\frac{2}{3}\angle COD\Big)+\frac{2}{3}\angle COD+\angle COD=180[/tex]       Substitution

[tex]\displaystyle 8)\text{ } \frac{1}{3}\angle COD+\frac{2}{3}\angle COD+\angle COD=180[/tex]              Multiplication

[tex]\displaystyle 9)\text{ } 2\angle COD=180[/tex]                                                 Addition

[tex]10)\text{ } \angle COD=90[/tex]                                                   Division Property of Equality

[tex]\displaystyle 11)\text{ } \frac{1}{2}\angle AOD=90[/tex]                                                Division Property of Equality

[tex]\displaystyle 12)\text{ } \angle COD=\frac{1}{2}\angle AOD[/tex]                                        Substitution

Answer:

this is your answer. good luck.

Answer:

8x10^4=80,000

8x10^1=80

79,920 times larger!

Step-by-step explanation:

Hope that helps! :)

The values 8 * 10^4 is 1000 times larger than 8 * 10^1

Scientific notations are expressions written in the form A * 10^n

Given the following scientifc notations:

A = 8 x 10^4

B = 8 x 10^1

In order to know how many times larger  is 8 x 10^4 than 8 x 10^1, we will take the ratio of both values as shown;

Ratio =

[tex]\frac{A}{B} = \frac{8 \times 10^4}{8 \times 10^1}\\ \frac{A}{B} = 1 \times 10^{4-1} \\ \frac{A}{B} = 10^3\\ \frac{A}{B} = 1000[/tex]

This shows that the values 8 * 10^4 are 1000 times larger than 8 * 10^1

Learn more here: https://brainly.com/question/10401258

Answer:

1, 3, 2, 4, 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

T = $3b

Answer:

25c^2-30cd

Step-by-step explanation:

The product of expression is,

⇒ 5c (5c - 6d)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5c - 3d)² - 9d²

Now, We can write the expression in form of product as;

⇒ (5c - 3d)² - 9d²

⇒ (5c - 3d)² - (3d)²

⇒ (5c - 3d - 3d) (5c - 3d + 3d)

⇒ (5c - 6d) (5c)

⇒ 5c (5c - 6d)

Thus, The product of expression is,

⇒ 5c (5c - 6d)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

x-y=4

and

x+y=32 is your equation

difference of two number =x-y is equal to 4

sum of two number=x+y is equal to 32

x-y=4.......(1)

x+y=32.......(2)

adding equation 1 and 2

x-y +x+y=4+32

2x=36

x=36/2=16answer

substituting value of y in equation 1

16-y=4

16-4=y

y=12 answer

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

Answer:

Time taken to complete whole song

Let the time taken be x

Now,

x = 1/5 of 15

x = 15/5

x = 3 min

Step-by-step explanation:

[tex] \\ [/tex]

Answer:

8

Step-by-step explanation:

Set 3n-1=5n-7.

Solve.

n=3.

Plug in 3 to 5n-7.

QR=8

Answer:

QR=8

Step-by-step explanation:

so using the fact that the two triangles are congruent, we can determine:

5n-7=3n-1

5n-6=3n

2n-6=0

n=3

so we replace all n in 5n-7 with three

5x3-7

15-7

8

Answer:

2.2314

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

1+1+4+5+5+5+6+7+7+10+10= 61

61÷11= 5.5-2.5= 2.2

Example:

Find the MAD of 2,4,6,8

Step 1 :

Find the mean of the data :

(2+4+6+8) / 4 = 20/4 = 5

Step 2 :

Find the distance between each data and mean.

Distance between 2 and 5 is 3

Distance between 4 and 5 is 1

Distance between 6 and 5 is 1

Distance between 8 and 5 is 3

Step 3 :

Add all the distances :

3+1+1+3 = 8

Step 4 :

Divide it by the number of data :

8 / 4 = 2

Answer:

Improper fraction: 8/3 Mixed Number: 2 2/3

Step-by-step explanation:

In this problem ,  you have to divide the 8 pounds of fruit into three different salads.

So, you need to divide 8 by 3. So, the answer will be 8/3 OR 2 2/3

Answer:

The range is is set of all second pairs (y-coordinates) while the domain is the set of first pairs(x-coordinates)

Step-by-step explanation:

the right answer for that question is c

Answer:

The chicken closed the road.

And then he crawled up the spot

and come over the duck

Answer: 1.25

Step-by-step explanation:

because it is

Answer:

what are we soposed to do?

Step-by-step explanation:

108* tomato

72*green bean plants

36*pepper

86.4*zucchini

57.6*cucumber

Answer:

24 inches

Step-by-step explanation:

You can see in the picture a triangle is formed where the sides are AB, BC, and AC.

The side lengths you have are AC = 16 and BC = 20.

You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400\\b^2=144\\b=12[/tex]

This means that the length of AB = 12.

It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation: