Simplify your answer as much as possible.

Answer:

**Answer:**

**mixed number: 4 1/15**

**Exact: 61/15**

Answer:
I think the answer is 8/3 + 7a/5

Which option correctly shows 4 6 as a division expression? A. 4 ÷ 1 6 B. 6 ÷ 1 4 C. 4 ÷ 6 D. 6 ÷ 4

Solve this equation 3x+6=-2-2x

A newspaper carrier has $7.10 in change. He has nine more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

A smoothie recipe calls for 3 cups of soy milk, 2 frozen bananas and, 1 tablespoon of chocolate syrup. Write a sentence that uses a ratio to describe this recipe.

Which best describes how to find an equation of the line shown?A. The slope m is rise over run, so y over x =m. Solve for Y to get y=mx.B. The slope m is run over rise, so x over y=m. Solve for x=ym.C. The slope m is run over rise, so x over y=m. Solve for y to get y= x over m.D. The slope m is rise over run, so x over y=m. Solve for x to get x=ym.

Solve this equation 3x+6=-2-2x

A newspaper carrier has $7.10 in change. He has nine more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

A smoothie recipe calls for 3 cups of soy milk, 2 frozen bananas and, 1 tablespoon of chocolate syrup. Write a sentence that uses a ratio to describe this recipe.

Which best describes how to find an equation of the line shown?A. The slope m is rise over run, so y over x =m. Solve for Y to get y=mx.B. The slope m is run over rise, so x over y=m. Solve for x=ym.C. The slope m is run over rise, so x over y=m. Solve for y to get y= x over m.D. The slope m is rise over run, so x over y=m. Solve for x to get x=ym.

**Answer:**

The dimensions of the aquarium that minimize the cost of the materials:

**Step-by-step explanation:**

Let x, y and z be the dimensions of aquarium .

Surface area of an aquarium = xy+2yz+2xz

Volume of aquarium V= ----A

We are given that slate costs five times as much (per unit area) as glass

So, Cost function : C=5xy+2yz+2xz

Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.

So,

----1

-----2

----3

Multiply 1 ,2 and 3 by x,y and z respectively.

----4

-----5

----6

Now equate 4 and 5

5xy+2xz=5xy+2yz

x=y

Substitute y=x in 5 and 6 and equate them

Substitute the values in A

**Hence,**

** The dimensions of the aquarium that minimize the cost of the materials:**

5 hours

715/11 = 65

325/65 = 5

715/11 = 65

325/65 = 5

**Answer:**

80

**Step-by-step explanation:**

80

angle a = angle s

amr and msr are similar triangles

**Answer:**

Simple question!

**Step-by-step explanation:**

I'm never challenged in school, could you send me your hw each day?

Email ivaliu2008+outlook.com

Also, what grade are you?

Thanks!

**Answer:**

**Step-by-step explanation:**

100 gallons/5hours = 20 gallons/hour

The -th term in the series is 6 multiplied by the -th power of 5/6:

and so on.

Consider the -th partial sum,

Multiplying both sides by 5/6 gives

and substracting this from gives

As , it's clear that the sum converges to **36**.

**The geometric series in the question is convergent with a common ratio of 5/6. Using the formula for the sum of an infinite geometric series, the sum of the series is found to be 36.**

In mathematics, specifically in series, determining whether a **geometric series** is convergent or divergent is centered around the common ratio value. In terms of this particular series: 6 + 5 + 25/6 + 125/36 + ..., the common ratio is 5/6. Given this common ratio, it's clear that it falls between -1 and 1. Hence, this **geometric series** is **convergent**.

Once we establish it is a convergent series, we can calculate its sum using the formula for the sum of an infinite geometric series: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. Inserting the respective values a = 6 and r = 5/6, we get: S = 6 / (1 - 5/6) = 36**. Hence, the sum of this infinite geometric series is 36.**

#SPJ11

Also it's a made up question

PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, subtract the numbers in the parentheses, then multiply by 11.

(12 - 9) = (3)

3 x 11 = 33

19 + 11 - 12^2 ÷ 3(33) - 7

Now, just multiply 33 by 3, and then square 12 (12 x 12).

19 + 11 - 144 ÷ 99 - 7

Now, you can divide 144 by 99, this is an infinite number, so..

144 ÷ 99 = 1.455

19 + 11 - 1.455 - 7

Finally add, then subtract.

30 - 1.455 - 7

28.545 - 7

The final answer is 21.545.