Solve the formula for the indicated variable c=yt+y,for t (the solution is t=___)

Answers

Answer 1

Answer: C=yt+y. Divide both sides by y and u get c/y=t+1 subtract 1. The ANSWER IS c/y-1=t

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The answer to 25. please
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For the system of equations shown below2x = −y + 6 −4x + 3y = 8 What is the solution to the system of equations?
This refers to the aspect of bureaucracy that places one individual or office in charge of another, who in turn must answer to their own superiors. explicit rules hierarchy of authority impersonality clear division of labor

A certain type of water lily doubles the area it covers every year. Ten years after being planted in our lake the water lilies cover a quarter of the lake's surface. How many more years will it be before they cover the entire surface of the lake?

Answers

2 years. The first time it would go from a quarter of the lake to half. The next year it would double that, taking over the whole lake.

Solve the following pair of linear equations using substitution method $x-3y = 13$

$x+2y=8$

Answers

Answer:

(10, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 13 → (1)

x + 2y = 8 → (2)

Rearrange (1) making x the subject by adding 3y to both sides

x = 3y + 13 → (3)

Substitute x = 3y + 13 into (2)

3y + 13 + 2y = 8

5y + 13 = 8 ( subtract 13 from both sides )

5y = - 5 ( divide both sides by 5 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 3(- 1) + 13 = - 3 + 13 = 10

solution is (10, - 1 )

6,282 in scientific notation would be _____?

Answers

Answer:

$6.282* 10^3$

Step-by-step explanation:

In the scientific notation we write a very large number or very small number as the product of a number between 0 to 9 and an exponent of 10,

Now, when we make a number between 0 to 9 by shifting decimal to left side then the power of 10 is positive number of shifting,

Here, the given number,

6,282

By the above explanation,

the scientific notation of 6,282 is $6.282* 10^3$

The scientific notation of 6,282 is 6.282 x 10³

Hope I helped!! :-)

What is the answer to the following problem:
6÷2(1+2)=?

Answers

Hi, Soldier23!
6/2(1+2)
6/2(3)
6/2=3
3*3=9
I hope this helps;)

6/2(1+2)=9 Cuz 1+2=3 6/2=3 and 3X3=9!

2x-1/6 = 2(x-3)/3 + 1?

Answers

$2x-(1)/(6)=(2(x-3))/(3)+1\ \ \ \ |multiply\ both\ sides\ by\ 6\n\n6(2x)-6((1)/(6))=6\left((2x-6)/(3)\right)+6(1)\n\n12x-1=2(2x-6)+6\n\n12x-1=2(2x)+2(-6)+6\n\n12x-1=4x-12+6\n\n12x-1=4x-6\ \ \ \ |add\ 1\ to\ both\ sides\n\n12x=4x-5\ \ \ \ \ |subtract\ 4x\ from\ both\ sides\n\n8x=-5\ \ \ \ |divide\ both\ sides\ by\ 8\n\n\boxed{\boxed{x=-(5)/(8)}}$

2x - 1 = 2(x-3)
   6 3 + 1
2x - 1 = 2x - 6
   6 4
4(2x - 1) = 6(2x-6)
8x - 8 = 12x - 36
-8x -8x
   -8 = 4x - 36
+36    +36
    28 = 4x
    28 = 4x
   4 4
   7 = x

The sum of two numbers is 100, their difference is 56, what are the two numbers?

Answers

$\large\bf{\underline{\underline{\mathfrak{Question}:}}}$

The sum of two numbers is 100, their difference is 56, what are the two numbers?

$\large\bf{\underline{\underline{\mathfrak{Solution}:}}}$

Let'sassume that,

$:{\Longrightarrow{\small{\rm{The\:one\:number\:=a}}}}$

$:{\Longrightarrow{\small{\rm{The\:other\:number\:=b}}}}$

Now,accordingto thequestion,

$:{\Longrightarrow{\small{\rm{a+b=100\:\:....(i)}}}}$

$:{\Longrightarrow{\small{\rm{a-b=56\:\:....(ii)}}}}$

Here, substitution method must be applied.

Now,use the first equation

$:{\Longrightarrow{\small{\rm{a+b=100}}}}$

$:{\Longrightarrow{\small{\rm{a=100-b}\:\:....(iii)}}}$

Putthevalueofequation(iii)inequation(ii)

$:{\Longrightarrow{\small{\rm{a-b=56}}}}$

$:{\Longrightarrow{\small{\rm{100-b-b=56}}}}$

$:{\Longrightarrow{\small{\rm{100-2b=56}}}}$

$:{\Longrightarrow{\small{\rm{2b=56-100}}}}$

$:{\Longrightarrow{\small{\rm{2b=-44}}}}$

$:{\Longrightarrow{\small{\rm{b=(-44)/(-2)}}}}$

$:{\Longrightarrow{\small{\rm{b=\frac{\cancel{-44}}{\cancel{-2}}}}}}$

$:{\Longrightarrow{\small{\rm{b=(22)/(1)}}}}$

${\therefore{\small{\rm{b=22}}}}$

Now,putthisvalueinequation(iii)forgettingtheanswer.

$:{\Longrightarrow{\small{\rm{a=100-22}}}}$

${\therefore{\small{\rm{a=78}}}}$

For verification:

Put the value of a and b in the equation (i)and(ii)

Wehave,

$:{\Longrightarrow{\small{\rm{a=78}}}}$

$:{\Longrightarrow{\small{\rm{b=22}}}}$

Incase1:

$:{\Longrightarrow{\small{\rm{78+22=100}}}}$

$:{\Longrightarrow{\small{\rm{100=100}}}}$

$:{\Longrightarrow{\small{\rm{L.H.S=R.H.S}}}}$

Incase2:

$:{\Longrightarrow{\small{\rm{78-22=56}}}}$

$:{\Longrightarrow{\small{\rm{56=56}}}}$

$:{\Longrightarrow{\small{\rm{L.H.S=R.H.S}}}}$

Hence,verified!

Answer: X = 78 and Y = 22.

Step-by-step explanation:

Let's call the two numbers X and Y. We are given two pieces of information:

1. The sum of the two numbers is 100, so we can write this as an equation: X + Y = 100.

2. The difference between the two numbers is 56, which can also be written as an equation: X - Y = 56.

Now, you have a system of two equations with two variables:

1. X + Y = 100

2. X - Y = 56

You can solve this system of equations by adding the two equations together to eliminate the Y variable:

(X + Y) + (X - Y) = 100 + 56

This simplifies to:

2X = 156

Now, divide both sides by 2 to solve for X:

2X / 2 = 156 / 2

X = 78

Now that you know the value of X, you can substitute it into one of the original equations to find the value of Y. Let's use the first equation:

X + Y = 100

78 + Y = 100

Subtract 78 from both sides:

Y = 100 - 78

Y = 22

So, the two numbers are X = 78 and Y = 22.

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