Paul purchased a new fish tank, represented by the diagram below.
The height, h, of the tank is 3 feet, and the width, w, is 6 feet longer than the length, l. The volume of the tank (V=lwh) is 60 ft^3.
Write an equation that could be used to calculate the length of the tank.
Determine the exact length of the tank in simplest radical form.

Answer: 34 21/64

Step-by-step explanation: Multiply all the sides to get the Volume.

3 1/4 x 3 1/4 x 3 1/4 = 34 21/64

Answer: Correct

Step-by-step explanation:

Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.

The recipe for 30 people would be as follows:

The recipe in the question above only serves 8 persons.

However, we are required to convert the recipe into one that serves 30 persons.

To do that, it is important to first convert the recipe into one that serves one(1) person.

If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.

The results are as follows:

The new recipe above is for serving 1 person Molten lava cake.

Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.

The results are as follows:

However, the question requires that the quantities be rounded off to the nearest half.

therefore we have,

4 c of sugar

22 ¹/2 squares of bittersweet chocolate

7 ¹/2 squares semisweet chocolate

4 ¹/2 stick butter

2 cup all-purpose flour

5 ¹/2cups confectioners’ sugar

11 ¹/2 large eggs

15 egg yolks

4 tsp vanilla extract

9 ¹/2 tablespoons orange liqueur.

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Answer:

nre, nre

Step-by-step explanation:

Given

[tex]4b^2 + 16 = 0[/tex]

Required

Solve

[tex]4b^2 + 16 = 0[/tex]

Subtract 16 from both sides

[tex]4b^2 +16 -16 = 0 - 16[/tex]

[tex]4b^2 = - 16[/tex]

Divide both sides by 4

[tex]b^2 = -4[/tex]

Take square roots of both sides

[tex]b = \sqrt{-4[/tex]

[tex]\sqrt{-4} \to[/tex] Complex number

Hence, no real root exist

30

I DONT KNOW BUT THAT'S MY ANSWER HOPE IT HELP

Step-by-step explanation:

Is it +30 or - 30

If it was -ve under root it will be complex or imaginary number but it is a easy question

Answer:

i think 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

e a b $ 174 par month

Step-by-step explanation:

ar the

Jane's monthly payment this year using balance billing would be $164 per month.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

To determine Jane's monthly payment this year using balance billing, we need to divide the total amount she spent last year ($1,968) by the number of months in a year.

Total amount spent last year = $1,968

Number of months in a year = 12

So, Monthly payment = Total amount spent last year / Number of months in a year

Monthly payment = $1,968 / 12

Monthly payment ≈ $164

Therefore, Jane's monthly payment this year using balance billing would be $164 per month.

Learn more about Unitary Method here:

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Answer:

She ate 1/10 of the pizza.

Hope this helps!!

Answer:

P( 44 < X < 56 ) =  0.12

Step-by-step explanation:

Number of seconds one gets to solve the puzzle ( X )

E( X ) = 100 + 0 ) / 2 = 50

Var ( X ) = 833.3333

бx = √833.3333  =  28.868

Determine The approximate probability

P( 44 < X < 56 ) = Δ time given / number of players selected

P( 44 < X < 56 ) = (56 - 44) / 100

                          = 12 / 100 = 0.12

Answer:

A

Step-by-step explanation:

Volume of the solid = base x width x height = 36 x 36 x 24 = 31 104 in^3

Volume of one prism = total volume / 12 = 31 104 / 12 = 2592 in^3

Answer:

4 * 7/8

Step-by-step explanation:

It's asking to multiply.

Answer:

a=18.7 or 19 rounded up

Step-by-step explanation:

Use Pythagoras Thereom

a^2=8^2+17^2

a^2=64+289

a^2=353

√353

a=18

Answer:

The length of missing leg is 15 cm.

Answer:

A

Step-by-step explanation:

When you distribute what is in the parentheses you get 2.5m + 7m=9.5m, and then you add that to m aka 1m, which is 10.5m and they both end with -2.

Answer:

y=|x|+2

Step-by-step explanation:

Umm where’s the graph.

If the graph is up 2 units y=|x|+2

Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]

to find the longer leg length you have: shorter leg × root 3

[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]

Answer:

Steps:

to solve this problem we have to calculate the surface area of the whole block and let be SA

first the surface area of the square pyramid:

the area of one triangle = (height × base)/2

given:

height = 6 cm

base = 4 cm

A = (6×4)/2

A = 24/2

A = 12 cm²

since it's a square triangle

then the surface area of the pyramid excluding the base:

Ap = A × 4

Ap = 12 × 4

Ap = 48 cm²

now the inferior part which is a rectangular prisme

Ar = 4(height×lenght)+lenght²

Ar = 4(3×4)+4²

Ar = 4×12+16

Ar = 48+16

Ar = 64 cm²

and now we can calculate the surface area of the whole block

SA = Ap + Ar

SA = 48 + 64

SA = 112 cm²

Answer: 39.5 ft^2

Step-by-step explanation:

1. Find the area of the rectangle using the formula length * width

2. Find the area of one of the triangles (the top one) using the formula 1/2(b*h)

3. Find the area of the other triangle (the bottom one) using the formula 1/2(b*h)

4. Add 'em all up to get the total area

Answer:

yeah they are the same

Step-by-step explanation:

-2.11428571429

Step-by-step explanation:

By using the commutative property, regardless of how the numbers are listed using addition or multiplicaton, they will equal the same thing.

So, a+b=b+a, which is what is present for your question.

1 centimeter = 10 millimeters

Answer:

36 and 16

Step-by-step explanation:

Answer:  

12

Step-by-step explanation:

you can get the answer from 40+12 giving you 52 but its not stated the type of problem it is so use addition.

Answer:

20

Step-by-step explanation:

Answer:

The width of the park should be 7.5 feet.

Answer:

62ft²

Step-by-step explanation:

Hi there!

Surface area is calculated by this formula:

2(length*width)+2(width*height)+2(length*height)

*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face

we're given a length of 5 ft, a width of 2 ft, and a height of 3ft

now let's calculate the surface area

to find the area of the first two faces:

2(length*width)

2(5*2)

2(10)

20 ft²

now to find the area of the second two faces:

2(width*height)

2(2*3)

2(6)

12 ft²

finally, find the area of the last two faces:

2(length*height)

2(3*5)

2(15)

30 ft²

now add up all the values

SA=20+12+30=62 ft²

your answer is 62ft²

Hope this helps!

Answer:

6 sixteenths 6/16

Step-by-step explanation:

8 x 2 = 16

3 x 2 = 6