Tyrone has a fish tank that measures 36in. long, 24in. high, and 18 in. wide. He wants to fill the fish tank to a height of 14 inches. What will be the volume of water in the tank?

Answer:

[tex]x = 2.4[/tex]

Step-by-step explanation:

Step 1:  Find the length of AB

[tex]\frac{ED}{EA} = \frac{EC}{EB}[/tex]

[tex]\frac{15}{12} = \frac{18}{12+x}[/tex]

Cross Multiply

[tex]15(12+x) = 12(18)[/tex]

Distribute

[tex](15*12)+(15*x) = 216[/tex]

[tex]180 + 15x = 216[/tex]

Divide

[tex]15x / 15 = 36 / 15[/tex]

[tex]x = 2.4[/tex]

Answer:  [tex]x = 2.4[/tex]

Answer:

9

Step-by-step explanation:

0

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

Answer:possible

Step-by-step explanation:

Answer:

jhv

Step-by-step explanation:

kjbb

Answer:

-0.3n + 0.6

Step-by-step explanation:

if we write out the entire expression we have:

0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)

then we add and subtract

and receive

-0.3n + 0.6

Answer:

-0.3n + 0.6

Step-by-step explanation:

We can eliminate the parentheses, obtaining:

0.5n - 0.3 - 0.8n + 0.9

and then combine like terms, obtaining:

-0.3n + 0.6

Answer:

[tex]\displaystyle f[g(2)] = 3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]

And we want to find the value of:

[tex]\displaystyle f[g(2)][/tex]

First, evaluate g(2):

[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]

Substitute:

[tex]\displaystyle f[g(2)] = f(-2)[/tex]

Evaluate f(-2):

[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle f[g(2)] = 3[/tex]

Answer:

Step-by-step explanation:

Considering triangle CNR and triangle WNO, there are:

∠C = W

CN = WN

∠CNR = ∠WNO (2 opposite angles)

deduce triangle CNR = triangle WNO

deduce RN = ON

Answer:

2 1/12

Step-by-step explanation:

5/6+1/2+3/4

Get a common denominator of 12

5/6 *2/2   + 1/2 *6/6  + 3/4 *3/3

10/12 + 6/12 + 9/12

25/12

24/12 + 1/12

2 +1/12

2 1/12

[tex]\bf \Large \hookrightarrow \: \frac{5}{6} \: + \: \frac{1}{2} \: + \: \frac{3}{4} \\ [/tex]

First , we take LCM of denominators

LCM of denominators is 12

[tex]\bf \Large \hookrightarrow \: \frac{10 \: + \: 6 \: + \: 9}{12} \\ [/tex]

[tex]\bf \Large \hookrightarrow \: \: \frac{25}{12} \\ [/tex]

Answer:

not a function

Step-by-step explanation:

A function has a one to one relationship

No input value can have more than one output value

-2 as an input goes to both 4 and -1 so it has more than 1 output

This is not a function

Answer: 2nd one.

Step-by-step explanation:

Basically is more turkey for cheaper price...

The best buy is the second turkey.

1. 1 5/7

2. 1 mile per hour

3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.

4. a. 3 batches of cookies

   b. 180 cookies

5. a. 1/8 of a pound of candy every day

   b. It will take him 8 days to eat 1 pound of candy

Let me know if any of these are wrong, I will correct them.

Answer:

el ancho es

18

 pulgadas y la longitud es

2

×

18

=

36

 pulgadas.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8 <= x <= -1

Answer:

14234

Step-by-step explanation:

123124

Answer:

Step-by-step explanation:

[tex]f^{-1}(f(58))=(fof^{-1})(58)=1_\pi(58)=58\\\\f(f(5))=f(9)=11\\[/tex]

Answer:

Lesser x = -10

greater x = -2

Step-by-step explanation:

Find the zeroes:-

[tex]f(x)=(x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} -16=0[/tex]

[tex](x+6)^{2} =16[/tex]

[tex]\sqrt{(x+6)^{2} }=\sqrt{4^{2} }[/tex]

[tex]x+6=[/tex] ± [tex]4[/tex]

[tex]x+6=4[/tex]

[tex]x=4-6[/tex]

[tex]x=-2[/tex]

or, [tex]x+6=-4[/tex]

[tex]x=-4-6[/tex]

[tex]x=-10[/tex]

So, [tex]x=-10, \: or\: x=-2[/tex]

OAmalOHopeO

Answer:

LESSER X=-10

GREATER X=-2

Hope it helps:)))

have a marvellous day every single day!

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Convert to decimals.

[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar

[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar

[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar

2. Subtract muffin sugar from total sugar

6.75 cups total sugar  -  1.50 cups fir muffins = 5.25 cups remaining

3. Divide remaining sugar by amount used per loaf nutbread

5.25 cups sugar / 1.75 cups for each loaf nutbread = 3

3 Loaves of nutbread were made.

Answer:

158. surface area = 108π

volume = 216√3π

159. surface area = 4√97π+16π

volume = 144π

Answer:

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

Answer:

Distributive property & dividing -8 on both sides.

Step-by-step explanation:

You can begin solving the equation by either using the distributive property or dividing -8 on both sides.

Distributive Property:

[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]

Dividing:

[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.

Answer:

40.5 ft²

Step-by-step explanation:

*First we’ll split the shape into multiple smaller ones. The two ends make separate triangles while the middle makes a rectangle. From there you can solve for their areas.

*Each triangle is the same size, so when solving them, the area of one can just be duplicated. To find the height of each triangle, we take the total base of 8 ft and subtract the top 5.5 ft to get 2.5 ft. After that you’ll divide by 2 (for each triangle) so the height of each one is 1.25 ft.

Triangle:

A = 1/2bh

A = 1/2 (6) (1.25)

A = 3.75 ft²

Both triangles:

A = 3.75 (2)

A = 7.5 ft²

Rectangle:

A = lh

A = 5.5 (6)

A = 33 ft²

Total:

A = 7.5 + 33

A = 40.5 ft²

Answer:

Step-by-step explanation:

The shape can be broken down into 2 identical triangles and one rectangle.

Area of 2 triangles= 2(1/2×base×height)

= 2(1/2×6×2.5) = 15ft²

Area of Rectangle = length × breadth

= 6 × 5.5 = 33ft²

Area of figure = Area of 2 triangles + Area of Rectangle

= (15 + 33) ft² = 48ft²

Answer:

2x+5 = 2x-10

2x = 2x-15

0 = -15???

This equation has NO SOLUTION.

Let me know if this helps!

The Taylor is right and Lupita is wrong.

It is required to Construct a math argument.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

In 2000 census, the population of a city was 935,426.

In 2010 census, the population of the same city was 934,578.

1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.

2. Lupita is wrong it should be seventy-two thousand five hundred sixty.

Therefore, the Taylor is right and Lupita is wrong.

Learn more about statement  here:

brainly.com/question/24412283

#SPJ2

Answer:

Push-Ups: 15, 30, 45, 60, 75

Sit-Ups: 30, 60, 90, 120, 150

Step-by-step explanation:

Multiply the number of push-ups by 2 to find the number of sit-ups.

Answer: For the push ups fill them up with the numbers 45, 60, and 75/ For the sit-ups fill them up with 90, 120, and 150./ But I'm pretty confused to find the overall example would you try to explain a bit more.

Step-by-step explanation:

Answer:

(5,0)(3,0)

Step-by-step explanation:

x^2 - 8x + 15 = 0

(x - 5)(x - 3) = 0

x - 5 = 0

x = 5

x - 3 = 0

x = 3