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3 years ago

A resturant serves a 20 ounce steak. how much does the steak weigh in pounds and ounces

Mathematics

2 answers:

scoundrel [369]3 years ago

8 0

1 pound and 4 ounces, or 1.25 pounds.

Oliga [24]3 years ago

3 0

There are 16 ounces in a pound.

Therefore, a 20 ounce steak is 1 pound 4 ounces.

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Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

Solve for m and b (5,14) and (3,10)

Elis [28]

Y=mx+b

Y1-Y2/X1-X2

14-10/5-3 = 4/2 = 2

Plug in (3,10):
(10)=2(3)+b

Solve:
10=6+b

B=4
M=2

6 0

3 years ago

Last year, Pattersonville had a population of 40,500 people . The census indicated that the population of the town has been decr

AleksandrR [38]

Answer:

34175 people will live in Pattersonville 8 years from now

Step-by-step explanation:

Initial population of Pattersonville =40,500

We are given that The census indicated that the population of the town has been decreasing by 2.1% per year .

Now we are supposed to find If this trend continues , approximately how many people will live in Pattersonville 8 years from now

Formula : $N(t)=N_0(1-r)^t$

Where N(t)= Population after t years

$N_0$ = Initial population

r = rate of decrease = 2.1 %=0.021

t = 8 years

Substitute the values in the formula :

So, $N(8)=40500(1-0.021)^8$

N(8)=34175.63223

So, 34175 people will live in Pattersonville 8 years from now

7 0

3 years ago

A number is 2/3 if another number. the sum of the numbers is 50. find the numbers

slava [35]

A number is 2/3 of another number. Both added together equals 50.

One of these numbers consists of three parts, and the other consists of two of those three parts. So, there are 5 equal parts in total.

Thus we need to divide 50 by 5. 50 divided by 5 equals 10.

The first number, which has three parts, is 30. The second number, which as two parts, is 20.

I hope this makes sense to you. :D Good luck in all your studies!

3 0

3 years ago

Please answer assapapapapppp

Amanda [17]

That is the answer it was to long to write down

8 0

3 years ago