There are 96 red marbles and 144 green marbles in a bag. Jake takes 10 red marbles out. How many green marbles does he need to take out to maintain the original color ratio?

Answer:

[tex]\displaystyle y=8x[/tex]

Step-by-step explanation:

We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.

So, we will first need to determine the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are two points.

We have three points: (1, 8), (2, 16), and (3, 24).

Let’s pick two. We can use (1, 8) and (2, 16).

So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{16-8}{2-1}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{8}{1}=8[/tex]

So, our slope is 8.

Now, we can determine the equation using point-slope form:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is a point.

We know that the slope is 8, so we will substitute 8 for m.

We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:

[tex]\displaystyle y-8=8(x-1)[/tex]

Solve for y. Distribute the right:

[tex]\displaystyle y-8=8x-8[/tex]

Add 8 to both sides:

[tex]\displaystyle y=8x[/tex]

And we have our equation.

Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.

Answer: the answer would be - 8/9

i used a calculator, so its correct.

Step-by-step explanation:

Answer:

negative one half D

Step-by-step explanation:

Multiply - two thirds x six eightths 6x2=12 you can multiply straight acroos because it is multiplycation. Now you do 8x3= 24 half of 12 is 24 so 12 over 24    simplifying is just dividing.  but if you look closer their is a negative sign so  what ever fraction is biger you go with their sign so your offical awnser  is negative one half

Answer:

If we were dealing with area it would be 7080 yds2

Step-by-step explanation:

Area = lxw so length times width

The length here is 120 and the width would be 59

=lxw

=120x59

=7080

Answer:

{0,2}

Step-by-step explanation:

Answer:

i think itll be cheaper to go to shop sum save i forgot the name my bad

Step-by-step explanation:

Answer:

Bob did by 10 cents

Step-by-step explanation:

9.75/3.75 is 2.6, 6.25/2.5 is 2.5

Answer:

25 in or 20in

Step-by-step explanation:

it is not  half way if it was it would be  15in its way of half way      

Answer:

25 inches is the answer

Answer: x=-4y+21

Step-by-step explanation:

Answer:

6 buttons per package

Step-by-step explanation:

6 x 4=24

Answer:

im not sure but i think impossible

Step-by-step explanation:

Answer:

The diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm

The radius will be 15.9134 ÷2 = 7.9567 cm or about 7.96 cm

The area of a circle is given by \pi × square of radius

Area = 3.142 × 7.96×7.96 = 199.0821 square cm

Answer:

the diameter would be half of the original length because it needs to be a circle so each half of the circle would equal 25 centimeters

hope dis helps <3

Answer:

4= 109 degrees

5= 120 degrees

Step-by-step explanation:

hope this heps

Answer and Step-by-step explanation:

When multiplying two numbers (or variables) of the same exponent, the solution would have the exponents adding each other:

[tex]a^{x} * a^{y} = a^{x+y}[/tex]

When dividing two numbers (or variables) of the same exponent, the solution would have the exponents subtracting each other:

[tex]a^{x} / a^{y} = a^{x-y}[/tex]

When a number with an exponent is being raised to an exponent, the solution would have the exponents multiplying each other:

[tex](a^{x)^{y} } = a^{xy}[/tex]

When there are two variables in parentheses and an exponent on the outside, the exponent will power both variables:

[tex](ab)^{x} = a^{x} b^{x}[/tex]

Answer:

Product of powers rule. ...

Quotient of powers rule. ...

Power of a power rule. ...

Power of a product rule. ...

Power of a quotient rule. ...

Zero power rule. ...

Negative exponent rule.

The following are the answers.

a = Commutative property of multiplication.

b = Identity property of multiplication.

c = Associative property of multiplication.

d = Inverse property of addition.

e = Identity property of multiplication.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

a.

x ⋅ 4 y = 4 x ⋅ y

This is the commutative property of multiplication.

a . b = b . a

b.

100 ⋅ 1 = 100

This is the identity property of multiplication.

a . 1 = a

c.

x (3 ⋅ 2x) = (x ⋅ 3) ⋅ 2x

This is the associative property of multiplication.

(a x b) x c = a x (b x c)

d.

3+(−3)=0

This is the inverse property of addition.

e.

−8 . (1/−8) = 1

This is the identity property of multiplication.

Thus,

The following are the answers.

a = Commutative property of multiplication.

b = Identity property of multiplication.

c = Associative property of multiplication.

d = Inverse property of addition.

e = Identity property of multiplication.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

If the scale factor is 1, the figure and the image are congruent.

Step-by-step explanation:

If the scale factor is less then one, then it would be a reduction, but if the scale factor is greater then one, it would be an enlargement.

Answer:7240000

Step-by-step explanation: When you are multiplying an exponent move the decimal back the number of the exponent which is 6 7240000.0 basically! :)

Answer:

c

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Since it's a horizontal line the slope would be 0

Step-by-step explanation:

Horizontal Lines A horizontal line is a line whose equation is of the form =, where is a real number. All points that lie on the line have a -coordinate of . The slope of any horizontal line is zero, 0.

Answer:

343

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-12 divided by 4 -3

Answer:

To get the answer you need to multiply 5/8 and 2/3 by the same number until they get a whole number. Then divied that by the number you divided it by and you got the answer.

Step-by-step explanation:

Answer:

The answer is 15/16 pages per min.

Step-by-step explanation:

5/8 * 3/2

You flip the second fraction when multiplying so it will be 15/16

Common denominator.

Answer:

d = ab - c

Step-by-step explanation:\

a x b = d + c

a x b - c = d

Answer:A

Step-by-step explanation:

Answer:

266.5

Step-by-step explanation:

$533.00* 5%=266.5

Answer:

The correct answer is A. Can I have brainlest if I am right?

Step-by-step explanation:

Step-by-step explanation:

5(2p-6)=40

5×2=10,5×6=30

10+30=40

Answer:

First paper : third choice

Second paper: it is not a function

Step-by-step explanation:

Answer:

Step-by-step explanation:

Negative rule= --=+

++=-

-+=-

power rule : 1^2+1^3=1^5 because when multiplying squared numbers if you're adding you add don't multiply unless it's in a bracket.

Answer:

Step-by-step explanation:

Negative rule= --=+

++=-

-+=-

power rule : 1^2+1^3=1^5 because when multiplying squared numbers if you're adding you add don't multiply unless it's in a bracket.