0.2(d-6)=0.3d+5-3+0.1d

Answers

Answer 1

Answer: first distribute
a(b+c)=ab+ac
0.2(d-6)=0.2d-1.2
now we have
0.2d-1.2=0.3d+5-3+0.1d
gropu like terms
0.2d-1.2=0.3d+0.1d+5-3
add like terms
0.2d-1.2=0.4d+2
subtract 0.2d from both sides
-1.2=0.2d+2
subtract 2 from both sides
-3.2=0.2d
divide both sides y 0.2
-16=d

Answer 2

Answer: Hi,

Whoa!! Alrighty, this can be intimidating, but there are two things you need to know when solving these types of problems. #1: Clean up and #2: Plug N' Chug. I promise if you get these down, you'll be doing these problems like a pro!!

So, you are basically trying to find the value to equal d.

#1: Clean Up!
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
0.2d - 1.2 = 0.3d + 5 - 3 + 0.1d (Distribute)
0.2d - 1.2 = 0.4d + 2 (combine like terms)

Alright at this point, your problem doesn't look too bad- now you have to just plug n' chug- so let's solve!

0.2d - 1.2 = 0.4d + 2
0.2d = 0.4d + 1.4
-0.2d = 1.4
d = -7

And there is your answer.

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Cedric bought his truck new for $20,000. It’s value decreases 15.4% each year. In approximately how many years will the value of the truck be half of what he paid for it? Round to the nearest whole number. PLEASE EXPLAIN

Answers

Answer:

3.24 years

Step-by-step explanation:

We know that for the truck to become half of the value it has to decrease by %50 if it decreases by %15.4 the real question is 50/15.4=3.24 years because how many years will it take for %15.4 to pile up and eventually become %50

What two numbers add up to 1 but multiply to -30

Answers

$x;\ y-the\ numbers\n\n \left\{\begin{array}{ccc}x+y=1&\to x=1-y\nxy=-30\end{array}\right\n\nsubtitute\ x=1-y\ to\ second\ equation:\n\n(1-y)y=-30\ny-y^2+30=0\n-y^2+y+30=0\ \ \ \ \ |change\ signs\ny^2-y-30=0\ny^2-6y+5y-30=0\ny(y-6)+5(y-6)=0\n(y-6)(y+5)=0\iff y-6=0\ or\ y+5=0\n\Downarrow\ny=6\ or\ y=-5$

$x=1-y\n\nfor\ y=6\Rightarrow x=1-6=-5\n\nfor\ y=-5\Rightarrow x=1-(-5)=1+5=6\n\n=======================================\nAnswer:\boxed{6}\ and\ \boxed{-5}$

A block of marble is in the shape of a rectangular prism 6 The block is 3 feet long 2 feet wide and 18 inches high What is the volume of the block

Answers

Volume of a rectangular prism can be found with the equation

v = length × width × height

They are trying to trip you up a little bit here because they give 2 measurements in feet then the last in inches. So for your prism...

18 inches = 1.5 ft

v = l×w×h
v = 3×2×1.5

v = 9 ft^3

What is 62.5% in two equivalent forms ?

Answers

Answer: Two equivalent forms are :

$(5)/(8)\ and\ (125)/(200)$

Step-by-step explanation:

Since we have given that

62.5%

We have to write in equivalent forms:

1) First equivalent form is given by

$62.5\%\n\n=(62.5)/(100)\n\n=(625)/(1000)\n\n=(25)/(40)\n\n=(5)/(8)$

2) Second equivalent form is given by

$62.5\%\n\n=(62.5)/(100)\n\n=\frac{625}[1000}\n\n=(625/ 5)/(1000/ 5)\n\n=(125)/(200)$

62.5%

Percents are parts of 100, so write 62.5 as a fraction over 100:

62.5/100

Divide the numerator and denominator by 12.5:

62.5 / 12.5 = 5
100 / 12.5 = 8

5/8

This is one form.

62.5 / 100 = 0.625

This is another form.

Simplify the expression. x^2+3x+2/x+2

Answers

x^2 + 3x + 2 / x + 2
(x + 1)(x + 2) / x + 2
x + 1

The answer is: x + 1.

Which graph
or equation represents a nonproportional relationship?

Answers

Answer:

The equation that represents a proportional relationship must have this form:

$y=mx$

And the graph of a proportional relationship must be a a line that passes thorugh the origin.

Step-by-step explanation:

Since the graph is not attached, I will give you a general explanation about how to solve the exercise.

The equation of a line that passes through the origin is the following:

$y=mx$

Where "m" is the slope of the line.

The proportional relationships have the following form:

$y=kx$

Where "k" is the Constant of proportionality.

Therefore, the graph of proportional relationships is a line that passes through the origin.

Therefore the equation that represents a proportional relationship must have this form:

$y=mx$

And the graph is a a line that passes thorugh the point $(0,0)$

Final answer:

A nonproportional relationship is represented by equations or graphs in which the ratio of the variables does not remain constant, like the equation y = x².

Explanation:

A nonproportional relationship is one in which the ratio between the two variables does not remain constant. In terms of graphs or equations, a nonproportional relationship would not be a straight line when graphed. A simple example is the equation y = x². In this case, as x increases, y increases at a changing rate, not a constant rate, which shows it is nonproportional.

Furthermore, when you graph the equation y = x², it forms a parabola, not a straight line. A straight line would indicate a proportional relationship with a constant ratio, while a curve like a parabola indicates a nonproportional relationship.

Learn more about Nonproportional Relationships here:

brainly.com/question/15271096

#SPJ12

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