Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.

Part A

Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.

Part B

Dario decides to take each one of the 4 pieces and share it equally among the 5 of them. First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.

What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.

Answer:

55°

Step-by-step explanation:

Let's start by finding "y" (see diagram attached).

Using the given diagram, we can conclude that the angle measuring 125° and angle y are a linear pair or supplementary. This means that they add up to 180°.

We can use this information to set up an equation:

[tex]125^{\circ}+y=180^{\circ}[/tex]

Subtract 125° from both sides:

[tex]y=55^{\circ}[/tex]

The diagram displays two parallel lines cut by a transversal.

Therefore "x" and "y" are corresponding angles.

The corresponding angle theorem states that if the two lines being cut by a transversal are parallel, then corresponding angles must be congruent/equivalent.

Using this theorem we can set up an equation...

[tex]y=x[/tex]

Therefore...

[tex]x=55^{\circ}[/tex]

Answer:

Step-by-step explanation:

Ratio = 7 : 5

Numbers are 7x , 5x

[tex]\dfrac{7x-2}{5x-2}=\dfrac{3}{2}\\\\\\[/tex]

Cross multiply,

2*(7x - 2) = 3*(5x -2)

2*7x - 2*2 = 3*5x - 3*2

14x - 4       = 15x - 6    

14x - 4 + 6 = 15x   {Add 6 to both sides}

14x  + 2      = 15x

            2    = 15x - 14x       {Subtract '4x' from both sides}

   x = 2

7x = 7*2 = 14

5x = 5*2 = 10

Numbers are 14 , 10  

Answer: 8/15 + 2/5 = 0.93etc or 14/15

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

15+6=21

21+5=26

26+8=34

Answer:

C.

Step-by-step explanation:

16 cm² + 9 cm² = 25 cm²

5 cm × 5 cm = 25 cm²

Answer:

They need to work 16 days before they get paid.

Step-by-step explanation:

40/2.5=16

Answer:

(-1, 16), (3, 12)

These are my examples so if you want you can do different solutions, too!

Step-by-step explanation:

It may sound weird, but there are infinitely many solutions to a linear equation. It's basically all real numbers that are on the line.

So, just choose two random numbers for the x-value and substitute in into the equation. I'm going to use -1 and 3.

x = 15 - y

when x = -1

-1 = 15 - y

y = 16

(-1, 16)

when x = 3

3 = 15 - y

y = 12

(3, 12)

Answer:

Step-by-step explanation:

hello :

if y=0    so x= 15  and  if : x=0   so y = 15

you have  two solutions : (15;0)  and (0;15)

Answer:

41.60

Step-by-step explanation:

[tex]\sqrt{108}[/tex]=10.39230485=10.40

10.40+10.40+10.40+10.40=41.60

10.40*2=20.80

[tex]20.80^{2}[/tex]=432.64

i don't understand, what is it asking for here?

Answer:

675 packages

Step-by-step explanation:

You multiply 15 x 45 to get 675

if 1 treat per 15 bags is correct

Answer:

8.1

Step-by-step explanation:

Formula for volume of cube. V = Volume and A = Edge.

[tex]V=a^{3}[/tex]

[tex]a=\sqrt[3]{v}[/tex]

Therefore we have.

[tex]528=a^{3}[/tex]

[tex]a=\sqrt[3]{528}[/tex]

We have to use the cube root function.

The cube root of (n) is the same as (n) raised to the 1/3 power.

n = a number

[tex]a=v^{\frac{1}{3} }[/tex]

So then we have.

[tex]528^{\frac{1}{3} } =a[/tex]

[tex]a=8.08248004[/tex]

Round to 1 decimal place.

[tex]a=8.1[/tex]

Answer:

no and they need 936 more dollars

Step-by-step explanation:

Answer:

The smaller number is 23.

The bigger number is 131.

Step-by-step explanation:

"difference" means subtraction. In this question "more than" means adding. This can be done with one variable. And would take more reasoning with the meaning of the words, but less complicated algebra.

If you are learning systems of equations in high school or college, then you may want to use two variables. The set up is way more straight forward. But then you also need strategies to solve a system of equations.

There are two solutions attached. You only need one that matches the math you are studying. see images.

Answer:

See Below

Step-by-step explanation:

[tex] \cos 240 \degree \\ = \cos (180\degree + 60\degree ) \\ = \cos 180\degree \cos60\degree - \sin 180\degree \sin60\degree \\ = ( - 1) \times \frac{1}{2} - 0 \times \frac{ \sqrt{3} }{2} \\ = - \frac{1}{2} - 0 \\ \implies \: \huge \purple{ \cos 240 \degree = - \frac{1}{2} } \\ \\ \sin 240 \degree \\ = \sin (270\degree - 30\degree ) \\ = \sin 270\degree \cos 30\degree - \cos 270\degree \sin 30\degree \\ = ( - 1) \times \frac{ \sqrt{3} }{2} - 0 \times \frac{1 }{2} \\ = - \frac{ \sqrt{3} }{2} - 0 \\ \implies \: \huge \orange{ \sin 240 \degree = - \frac{ \sqrt{3} }{2} } [/tex]

Answer:

etermine the form of each augmented matrix: 4 0 0 11 2 -5 8 0-2 -6 7 3 1 0 0 0 1 0 0 0 1 -6 ... - did not match any news results.

Step-by-step explanation:

Answer:

I got this right on edg 22

Step-by-step explanation:

first one : Row Echelon Form

second one : Reduced Row Echelon Form

third one : Neither

Answer:

20(r−14)

Step-by-step explanation:

Factor 20r−280

20r−280

=20(r−14)

Answer:

  2a^3 -3a^2 -45a +50

Step-by-step explanation:

The expansion of the product of polynomials is an application of the distributive property. Usually, it needs to be applied several times.

  (2a^2+7a-10)(a-5)

  = 2a^2(a -5) +7a(a -5) -10(a -5)

  = 2a^3 -10a^2 +7a^2 -35a -10a +50

  = 2a^3 -3a^2 -45a +50

[MA]:

48 r 40

The explanation:

94 x 4 = 376

4,552 - 376 = (792 or ?)

94 x 8 = 752

792 - 752 = 40

94 is greater than 40 so we can't add anymore.

Thus, the answer is 48 r 40

Writer's note: I really hope this will help you.

[xArtsy]

Answer:

Step-by-step explanation:

Answer:

r=-2, y=-3

Step-by-step explanation:

Answer:

-9, -5, 5

Step-by-step explanation:

is there more to this question?

Hey there!

2x^2 - 5 / x + 9

= 2(-1)^2 - 5/ -1 + 9
= (2(-1)^2 - 5) / (-1 + 9)

= (2(1) - 5) / 8

= (2 - 5) / 8

= -3 / 8

≈ -0.375

Therefore, your answer is:

-3/8 OR -0.375

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)