A recipe for orange water says, “Mix 3 teaspoons of yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.” 1. Write a ratio for 2 batches of this recipe. 2. Write a ratio for 4 batches of this recipe

Answers

Answer 1
Answer:

Well, we know that 3:1 is one batch of orange water. We also know that there are 2 things to focus on.

1. Must write ratio for 2 batches of the recipe.

2. Must write ratio for 4 batches of the recipe.

To make this equation simple, double the ratio to find 2 batches because all it means is 2x more water.

3:1

x2

6:2

So, the ratio would be 6:2 to make 2 batches.

To make it easier again, we just multiply the ratio of 2 batches by 2 which would find the ratio for 4 batches.

6:2

x2

12:4

So that means, that it is 6:2 for 2 batches, and 12:4 for four batches.

Answer 2
Answer:

Answer:

its c

Step-by-step explanation:

i did the test


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Let S be the sphere of radius 1 centered at (2, 4, 6). Find the distance from S to the plane x + y + z = 0.

the length of this prism is multiplied by a scale factor of 1/2 to create rectangular prism B the volume of rectangular prism B is and I need work to

Answers

we know that

[volume of rectangular prism]=L*W*h
L= 6 in prism A
volume of rectangular prism A=6*w*h

L=6*(1/2)------> L=3 in prism B

volume of rectangular prism B=3*w*h
so
volume of rectangular prism B=[volume of rectangular prism A]/2

the answer is
Volume of B is 1/2 volume of A

Correct reason why (x+y)^2 is not equal to x^2+y^2

Answers

(x+y)^2 =x^2+2xy+y^2\not=x^2+y^2

Do these ordered pairs represent a function? {(4,1), (5,2), (8,2), (9,8)} *

Answers

Answer:

Yes

Step-by-step explanation:

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.

The points (5,2) and (8,2) have the same y value, but their x values are different.  It is a function (there are no values of x for which we have more than one value of y).

Find the two numbers whose sum is 24 and whose product is as large as possible.(Please show your work, No guess)!!!

Answers

Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2

Now, P'(x) = 0 ⇒ x = 12
Also, 
P''(12) = -2 < 0

So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12

So, In short that numbers would be 12,12

Hope this helps!

Eight less than the product of 9 and a number equals 2.

Answers

The number you're looking for is 10/9 or approximately 1.1111 when rounded to four decimal places.

You can represent this statement as an equation:

9x - 8 = 2

Here, "x" represents the unknown number. To solve for "x," first, add 8 to both sides of the equation:

9x - 8 + 8 = 2 + 8

This simplifies to:

9x = 10

Now, to isolate "x," divide both sides by 9:

9x/9 = 10/9

x = 10/9

So, the number you're looking for is 10/9 or approximately 1.1111 when rounded to four decimal places.

for such more question on decimal

brainly.com/question/28393353

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Answer:

10/9

Step-by-step explanation:

the question would be 9x - 8 = 2

which simplified you would get  9x = 10

dividing 9 from both sides would leave you with 10/9 in fraction form

WILL MARK BRAINLIEST!!!
PLEASE HELP AND NO LINKS

Answers

Answer:

1000 = 450 + 50w

Step-by-step explanation:

She starts with $450 so that is why you add it. The amount she started with will not change.

She earns $50 per week so you add 50 multiplied by the number of weeks she works.

You do this until it equals 1000