All categories

3 years ago

The equation y=1/2x represents a proportional relationship. What is the constant of proportionality ? I NEED HELP ASAP

Mathematics

2 answers:

Lunna [17]3 years ago

8 0

Answer:

go through the lesson :)

hram777 [196]3 years ago

3 0

Answer:

yx14

Step-by-step explanation:

You might be interested in

During a bake sale, 1 and 1/2 dozen cookies were sold in 1/3 hour. what is the unit rate for the dozens of cookies sold per hour

rosijanka [135]

Find the number of cookies:

$\text {Cookies = } 1 \dfrac{1}{2} \text { dozens}$

Since 1 dozen = 12:

$\text {Cookies = } 1 \dfrac{1}{2} \times 12$

Change to improper fraction:

$\text {Cookies = } \dfrac{3}{2} \times \dfrac{12}{1}$

Simplify:

$\text {Cookies = } 18$

18 cookies were sold in 1/3 hour:

$\dfrac{1}{3} \text { hour = } 18 \text { cookies}$

$\text {1 hour = } 18 \times 3 \text { cookies}$

$\text {1 hour = } 54 \text { cookies}$

------------------------------------------------------------------
Answer: Unit rate for cookies sold = 54/hour
------------------------------------------------------------------

5 0

4 years ago

Sean drank 2 liters of water today which was 280 milliliters more than he drank yesterday. How much water did he drink yesterday

BigorU [14]

2000mL - 280mL = 1720mL or 1.72L

7 0

3 years ago

a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that min

Dmitriy789 [7]

The box should have base 52 cm by 52 cm and height 26 cm.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.

The Volume of a box with a square base x by x cm and height h cm is

$V = x^2h$

Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.

The surface area of the box described is $A = x^2 + 4xh$

We need A as a function of x alone, so we'll use the fact that

$V = x^2h= 70304 cm^3$

⇒ $h = \frac{70304}{x^2}$

So, the area becomes,

$A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}$

We want to minimize A, so

$A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52$

The second derivative test verifies that A has a minimum at this critical number:

$A'' = 2+\frac{562432}{x^3}$ which is positive at x = 52.

Now,

$h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26$

Hence, The box should have base 52 cm by 52 cm and height 26 cm.

To know more about volume, click on the link

brainly.com/question/463363

#SPJ4

8 0

2 years ago

A vendor sells pizza and soft drinks.A customer buys 8 slices of pizza and 6 drinks for$ 39.50.Another customer buys 5 slices of

otez555 [7]

Answer:

$3.61

Step-by-step explanation:

let p represent pizza and d represent drink, then

8p + 6d = 39.5 → (1)

5p + 7d = 30.44 → (2)

Multiplying (1) by 7 and (2) by - 6 and adding will eliminate d

56p + 42d = 276.5 → (3)

- 30p - 42d = - 182.64 → (4)

Add (3) and (4) term by term

(56p - 30p) + (42d- 42d) = (276.5 - 182.64), that is

26p = 93.86 ( divide both sides by 26 )

p = 3.61

That is a slice of pizza costs $3.61

7 0

3 years ago

Which shows the dimensions of two rectangular prisms that have volumes of 72 cm3 but different surface areas? A. 6 cm by 3 cm by

Nookie1986 [14]

To solve, lets find the volumes of all of the options...

V=l*w*h

A.
6*3*4=72cm³
12*2*3=72cm³

B.
2*4*9=72cm³
9*4*2=72cm³

C.
3*3*8=72cm³
2*6*8=96cm³

D.
6*3*4=72cm³
9*4*3=108cm³

We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.

Now lets solve for the surface area of A and B...

A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²

B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²

A is the only option with both similar volumes of 72cm³ and different surface areas...

Answer=A

3 0

3 years ago

Read 2 more answers