If bc = 8.3 cd = 6.7 and ad = 11.6 find ab to the nearest tenth

Answers

Answer 1

Answer: This is going to be tricky to explain over text, so try to bear with me :)

You have the information given above. Let's start with just ad = 11.6 for now. since these are variables, it can also be understood be understood as a times d= 11.6.
Knowing this, we can figure out that d = 11.6/a, when you divide both sides by a.

You now have d, so plug (11.6/a) into cd=6.7. You have to do the same thing you did last time, except this time you are aiming to get c by itself. So, multiply both sides by a/11.6 and you get c = (6.7a)/ 11.6.

Guess what, you know c now! so you put (6.7a)/11.6 in for c in the equation given to you earlier, bc =8.3. The math gets a bit messy here, but you basically solve for b here, which, when you crunch the numbers down, ends up being ~14.3705 divided by a. You are looking for ab, so just multiply both sides by a, and round to the nearest tenth so that you have ab= 14.4

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A pork roast was taken out of a hardwood smoker when its internal temperature had reached 180°F and it was allowed to rest in a 75°F house for 20 minutes after which its internal temperature had dropped to 170°F. Assuming that the temperature of the roast follows Newton’s Law of Cooling, a) Express the temperature of the roast, T as a function of time t.b) Find the amount of time that has passed when the roast would have dropped to 140°F had it not been carved and eaten.

If a man travels p hours at an average rate of q miles per hour, and then r hours at an average rate of s miles per hour, what is his overall average rate of speed?

Answers

Total miles traveled in p hours = p*q miles and
Total miles traveled in r hours = r*s miles
so, average rate of speed = total miles traveled / number of hours
=[{(p*q)+(r*s)} / (p+r)] miles per hour

Help with writing equations.
The pictures below have the questions I need help with.

Answers

I'm sure you know how to find the slope of a line if you know 2 points
on it ... The slope is ...

(difference in y-values) / (difference in x-values) .

Right ?

OK. Each line in these tables is a point on the graph of the table.
Pick two points from the table, and you can get the slope of the line
from them.

The first table (Plan-A) has these points in it:

1 . . . . . $20.15
2 . . . . . $20.30
3 . . . . . $20.45
4 . . . . . $20.60

You want to find the equation of the line with these 4 points on it.
That means you need to find the slope and the intercept of the line.
Take any two points straight from the table. I'll use the first two:

1 . . . . . $20.15
2 . . . . . $20.30

There you have two points on the line: (1, 20.15) and (2, 20.30) .
The slope is (difference in 'y') / (difference in 'x').

Difference in 'y' = (20.30 - 20.15) = 0.15
Difference in 'x' = (2 - 1) = 1

Slope of the line = (0.15) / 1 = 0.15
(What that really means is 15 cents per minute on Plan-A.)

Now you know that the equation of the line is [ y = 0.15x + intercept ].

Can you think of a way to find the intercept ?
Remember ... every point in the table is on the line.
So why not just take one of these points in the table, put it into the part of the equation that you already have, and watch the intercept fall out ?
You could use any point at all from the table.
I'll use the 3rd one.

y = 0.15x + intercept

20.45 = 0.15(3) + intercept

20.45 = 0.45 + intercept

Subtract 0.45 from each side: 20.00 = intercept

The equation of the graph for Plan-A is Charge = 0.15(minutes) + $20.00
===============================

Plan-B:

First two points:

Difference in y-values = (8.00 - 6.50) = 1.50
Difference in x-values = (10 - 5) = 5

Slope of the line = (1.50) / (5) = .30 (30 cents per minute)
Intercept = 5.00

Charge = 0.3(minutes) + $5.00
======================================

Plan-C:

Slope = 4.50 / 10 = 0.45
Intercept = zero
=================================

Plan-D:

Slope = (16.50 - 11.00) / (30 - 20) = 5.5/10 = 0.55
Intercept = zero

In each plan, the intercept is the cost just to sign up, before you use
the phone, and then the slope is the cost for each minute of talking on it.

A model of a famous statue is 2 1/2 inches tall the actual statue is six and two thirds feet tall what is the ratio of the height of the model to the height of the actual statue in simplest form

Answers

$1\ foot=12\ inches\n6(2)/(3)\ feet=6(3)/(2)\cdot12=(15)/(2)\cdot12=90\ inches\n\n2(1)/(2)=(5)/(2)\n\nRatio:\n\n((5)/(2))/(90)=(2)/(5)\cdot90=(180)/(5)=(36)/(1)\n\nRatio\ is\ equal\ 36:1$

A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.

Answers

Answer: 7366.96 dollars

========================================================

Use the compound interest formula:

A = P(1+r/n)^(n*t)

where in this case,

A = 12000 = amount after t years

P = unknown = deposited amount we want to solve for

r = 0.05 = the decimal form of 5% interest

n = 1 = refers to the compounding frequency (annual)

t = 10 = number of years

-------

Plug all these values into the equation, then solve for P

A = P(1+r/n)^(n*t)

12000 = P(1+0.05/1)^(1*10)

12000 = P(1.05)^(10)

12000 = P(1.62889462677744)

12000 = 1.62889462677744P

1.62889462677744P = 12000

P = 12000/1.62889462677744

P = 7366.95904248911

P = 7366.96

The area of a square room can be expressed as 196x^12y^10z^6 square feet . Hajime is installing a wallpaper border along the perimeter of the room. What is the perimeter?

Answers

The perimeter of the room is $56x^(6) y^(5) z^(3)$ units.

How to calculate the perimeter of a room given the area ?

The area of the square room is = $196x^(12)y^(10)z^(6)$ square units.

We know that the area of a square is given as the product of its sides,

Therefore the value of each side is = $\sqrt{196x^(12)y^(10)z^(6)}$ unit

Side of the square room is = $14x^(6) y^(5) z^(3)$ unit

Thus the perimeter of a square is given as the 4*length of each side.

∴ Perimeter = 4* $14x^(6) y^(5) z^(3)$ = $56x^(6) y^(5) z^(3)$ units.

Thus the perimeter of the square room is $56x^(6) y^(5) z^(3)$ units.

To learn more about perimeter of a square, refer -

brainly.com/question/2198503

#SPJ2

It is a square room; so, first take the square of the area measure.
√(196x^12y^10z^6) = 14x^6y^5z^3
That result is the length of one side of the room; so, just multiply
that result by 4 to find perimeter.
14x^6y^5z^3 •4 = 56x^6y^5z^3| feet

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's area?

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

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