the volume inside a rectangular storage room is 2,025 cubic feet. the room is 9 feet high. find the the area of the floor.
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Answer:

16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.

Therefore 48 * 4 = 192 servings.

A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,

As we know,16 cups are in a gallon,

1 gallons = 16 cups

3 gallons = 3 × 16 cups

3 gallons = 48 cups

If 1 cup of milk works for 4 servings,

The number of servings that can be made from three gallons will be,

=48 × 4

= 192 servings.

Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.

Learn more about the arithmetic operation here:

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Answer:

One solution

Step-by-step explanation:

Discriminant

[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]

[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]

[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]

Given equation:

[tex]-8x^2-8x-2=0[/tex]

Swap sides:

[tex]\implies 8x^2+8x+2=0[/tex]

Using discriminant:

[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]

Therefore, there is one solution

--------------------------------------------------------------------------------------------

Proof

[tex]8x^2+8x+2=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2+4x+1=0[/tex]

Separate the middle term:

[tex]\implies 4x^2+2x+2x+1=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]

Factor out the common term [tex](2x+1)[/tex]:

[tex]\implies (2x+1)(2x+1)=0[/tex]

Therefore:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=-\dfrac12[/tex]

Thus proving there is one solution.

Here

Discriminate

Roots are equal hence one solution

Step-by-step explanation:

the formula for the mid point is:

{(x1 + x2)/2 , (y1 + y2)/2}

so using the formula we get:

(15, 5)

also are you sure that the question wants the midpoint? since the answer is not included in the choices

Answer:

C(15,3)

Step-by-step explanation:

Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]

               = [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]

               = 15,5 (which is closest to C, i think there is a mistake in the        question as there is only one formula to find midpoint so y coordinate has to be 5)

Answer:

Step-by-step explanation:

Count the number of letters

Change integers to strings and put them

Hence answer is 3

Answer:

34

Step-by-step explanation:

Since this an isosceles triangle we can say the length of AB = AC

2x - 1 = x + 7

2x - x = 7 + 1

x = 8

The perimeter is calculated by adding all side lengths

2x - 1 + x + 7 + x - 4 = Area add like terms

4x + 2 = Area replace x with the value we found

4*8+2 = 34 units square

Answer:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

Answer:

2 apples are left

Step-by-step explanation:

Answer:

Simplified: -4a²b²+18a³-2b³

3a(6a²-4ab²)+8a²b²-2b³

Multiply 3a by 6a² and-4ab²

18a³-12a²b²+8a²b²-2b³

combine like terms (-12a²b² and 8a²b²)

-4a²b²+18a³-2b³

Hope this helps

Step-by-step explanation:

Here we have to simplify the polynomial :

[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]

Using Distributive property we get :

[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]

Combining the like terms we get :

[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]

Therefore,

Answer:

x=-6/29

y=-17/29

Step-by-step explanation:

we have the system of equations

-13x+8y=-2  ------> equation 1

2x+y=-1 ------> equation 2

Solve by elimination

step 1

Multiply equation 2 by -8 on both sides

-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3

step 2

Adds equation 1 and equation 3

-13x+8y=-2

-16x-8y=8

-----------------

-29x=6

x=-6/29

Find out the value of y

substitute the value of x in any equation

2x+y=-1

2(-6/29)+y=-1

-12/29+y=-1

y=-1+(12/29)

y=-17/29

therefore

The answer is

x=-6/29

y=-17/29

Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

Answer:

5

Step-by-step explanation:

range is biggest number minus smallest number.

First arrange the numbers from least to greatest.

4, 4, 5, 6, 8, 9, 9

Subtract the biggest number, 9, from the smallest number, 4.

9 - 4 = 5

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

Answer:

A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?

Answer:

teacher's age: 30

student's age: 15

Step-by-step explanation:

T = 15 + S

from above,

(T+15)/(s+15) = 3/2

by substitution,

(15+S +15)/(S+15) = 3/2

cross multiply,

2(S+30) = 3(S+15)

2S + 60 = 3S + 45

60 = S + 45

s = 15

T = 30

Answer:

Step-by-step explanation:

Total surface area comprises one rectangular base and two pairs of diferent triangles.

Area of rectangle

Area of triangle

Substitute and find

Area of base rectangle

Area of rest triangles

Now

TSA

Answer:

3 1/4 pounds

Step-by-step explanation:

Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.

He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375

Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.

Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.

Answer:

The Answer Is 240in^3

Step-by-step explanation:

I Took The Test And Got It Right.

The Volume of the fish tank is 240 in³.

The correct option is (D).

The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.

Given:

The figure can be differentiated into two shapes;

The volume of the rectangle is known as:

= Length × Breadth

= 7 inches × 5 inches

= 35 inches²

The volume of the triangle is:

= 1/2 × base × height

= 1/2 × 2 × 5

= 5 inches²

The total volume of the base of the fish tank now is:

= 35 inches² + 5 inches²

= 40 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank

= 6 inches × 40 inches²

= 240 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

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Answer:

What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

Step-by-step explanation:

Answer:

2,591 esta bien la respuesta

Answer:

x=3.48 or -1.98

Step-by-step explanation:

2x^2-3x-8=0

x^2-1.5x-4=0

(x-0.75)^2=0

x^2-1.5x-0.5625=0

(x-0.75)^2-7.4375=0

(x-0.75)=√(7.4375)

x=0.75±√(7.4375)

x=3.48 or -1.98

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]

Arc length

Answer:

599>w

Step-by-step explanation:

Since the max was 599 we need to show that the weight or w has to be less than 599

Answer:

599 ≥ w

Step-by-step explanation:

The other person is wrong

It can hold 599 pounds, and anything less than that, so we use this symbol

this is the graph for y =4x+2

Answer:

O The independent variable is T and P is the dependent variable

O The P increases by 2 as T increases by 1

Answer:

30%

Step-by-step explanation:

the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80

6th grader here sorry if wrong

Answer:

It's 96

Step-by-step explanation:

-The left and right rectangles
5*4=20

(5*4)*2=40


-Triangle (front and back)
8*3/2=12

(8*3)/2*2=24


-Bottom Triangle (base)

8*4=32


-Area
=40+24+32
=96

Answer: 96 in^2

Step-by-step explanation: I took the quiz and got it right!! Hope this helps you, have a beautiful day!! :)

0 3 6 9 12 15 18

(each tick mark = +3)

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

Answer:

Step-by-step explanation:

Let O be the centre of the circle of radii 10 cm and 8 cm.

In given figure,

AP = PB and OP⊥AB

Applying Pythagoras theorem in ∆OPA, we get

↠ OA² = OP² + AP²

↠ (10)² = (8)² + AP²

↠ 100 = 64 + AP²

↠ 100 - 64 = AP²

↠ 36 = AP²

↠ √36 = AP

↠ 6 = AP

Now,

↠ AB = 2AP

↠ AB = 2(6)

↠ AB = 12 cm

Hence,

Answer:

D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle