Decide whether or not each equation represents a proportional relationship. a. Volume measured in cups ( ) vs. the same volume measured in ounces ( ): b. Area of a square ( ) vs. the side length of the square ( ): c. Perimeter of an equilateral triangle ( ) vs. the side length of the triangle ( ): d. Length ( ) vs. width ( ) for a rectangle whose area is 60 square units:

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

Answer:

I think you are in a test..You should do by your own

Answer:

4cm is the correct answer

Answer:

80

Step-by-step explanation:

multiply both sides by 5

3x +50 = 4x -30

combine like terms

-x = -80

x = 80

Answer:

You would get a trapezoid shape.

Step-by-step explanation:

Answer:

16 Hours

Step-by-step explanation:

25 x 20 x 4 = 2000ft cubed.

2000ft divided by 125ft cubed = 16

Answer:

A

Step-by-step explanation:

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.

Answer:

Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP

Step-by-step explanation:

Answer:

1) y = 3/5x + 8

2) Slope: 10

   y-intercept: -1/3

3) y = -1/2x - 1

Step-by-step explanation:

1) The equation you need to refer to for this problem is y = mx+b

m = slope (3/5 for this problem)

b = y-intercept(which is 8)

plug those numbers in and you get y = 3/5x + 8

2) look back at this equation: y = mx+b

10 is the slope and -1/3 is the y-intercept

3) This one is a bit more difficult as you need two other formulas to solve:

the slope formula, y1 - y2/x1 - x2, and the point-slope formula,

y - y1 = m(x - x1)

For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:

-3 -(-4)/4 - 6 = -1/2

the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.

-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)

To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:

(keep in mind, for this, I used (4,-3) but you can use either one)

y -(-3) = -1/2(x - 4)

To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:

y -(-3) = -1/2x + 2

Then, on the other side, add the to negatives to get a positive 3:

y + 3 = -1/2x + 2

and subtract 3 from both sides:

y = -1/2x - 1

I hope this isn't too confusing

good luck!

Solving a linear equation we will find that they spent a total of Rs 1.080 and they initially had Rs 1,200.

Let's assume that initially they had M money, we know that they spend 9/10 of it, so now they have:

(1/10)*M

And we also know that at the end Binaya had Rs 120, so we can write the linear equation:

(1/10)*M = Rs 120

Solving that for M we will get:

M = 10*Rs 120

M = Rs 1,200

And the amount that they spent is 9/10 of that, so it is:

(9/10)* Rs 1,200 = Rs 1,080

So, they spent a total of  Rs 1,080 and they initially had a total of Rs 1,200

Learn more about linear equations:

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Answer:

125.2

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

950x14= 13 300

13300/100

133$ per year

133x6years= 798$

so 950-798= 152

152$ will be the price of the pc at this rate you said

Answer: 317

Step-by-step explanation:

Answer:

Can i put down no clue lol

But the answer should be EVEN

Step-by-step explanation:

Answer:

even

Step-by-step explanation:   lol i was about to pick no clue

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

Learn more about the equation of line visit:

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Answer:  A≈314.16

Step-by-step explanation: A=πr2=π·102≈314.15927

1 / 5

I like orange juice.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]

[tex]\mathsf{4\times4 = \bf 16}[/tex]

[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]

[tex]\mathsf{16\times4 = \bf 64}[/tex]

[tex]\mathsf{\bold{64}\times5\times5 }[/tex]

[tex]\mathsf{64\times5 = \bf 320}[/tex]

[tex]\mathsf{\bold{320}\times5}[/tex]

[tex]\mathsf{= \bf 1,600}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

b. 3/2

Step-by-step explanation:

Answer:

should be A sorry if I'm wrong

Step-by-step explanation:

this is simple use it and enjoy

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]

as equation 1

and

[tex]x + y = 25[/tex]

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]

Substitute y into equation 2.

[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]

The numbers are 9 and 16.

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]