How to solve like terms

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Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B contains an unknown percentage of blue pigment. The mixture of the two inks contains 35% blue pigment.

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We will assume that B contains higher percentage of blue pigment than the mixture ( because A contains lower). First we will subtract:
35-10=15 and then: x-35
So we will make the proportion:
4 : 10 = (x-35) : 15
4 * 15 = 10(x-35)
60=10 x- 350
10 x =410
x = 41%
Answer: Ink B contains 41 % of blue pigment.

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

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

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.

If y is the principal square of root 5,what must be true

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y must be a positive integer.
Hope this was the answer you were looking for!

If it's going to be true y needs to be a positive integer
Hope that's right

Can i get some help ?:

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Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

What is an equation of the line that passes through the point (-4,8) and is parallel to the line x+y=6?

Answers

Answer:

y = -x + 4

Step-by-step explanation:

x + y = 6 => y = -x + 6

The line that parallel to y = -x + 6 has same slope so m = -1

Using coordinates (-4,8)

y = mx + b

8 = (-1)(-4) + b

8 = 4 + b

b = 4

then y = -x + 4

The ordered pairs (1, 1), (2, 4), (3, 9), (4, 16), and (5, 25) represent a function. What is a rule that represents this function? A. y = x2 B. y = 2x C. y = x + 2 D. y = 2x

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y=x^2 is the answer, so I think it might be A, you just forgot the carrot.
Hope this helps!

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