Aiko works in the fish department of a pet store. She is asked to drain, clean, and refill two reef tanks.
The first tank holds 175 gallons of water and the second tank holds 200 gallons of water. The hoses that
she uses drain the tanks at a rate of 25 gallons of water per hour.

1. write an equation for each tank that represents the total amount of water in the gallons in the tank in terms of the number of hours that the tanks are draining

tank one equation ________

tank two equation ________

2. how much water is in each tank after 3 hours?
tank one ___

tank two___

Step-by-step explanation:

Algebra is great fun - you get to solve puzzles!

A Puzzle

What is the missing number?

− 2 = 4

OK, the answer is 6, right? Because 6 − 2 = 4. Easy stuff.

Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write:

x − 2 = 4

It is really that simple. The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable.

And when we solve it we write:

x = 6

Answer:

See below

Step-by-step explanation:

Radius (r) = 8 inches

Chord = 8 inches

Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.

[tex]\implies [/tex] angle subtended at the centre of the circle [tex](\theta)=60\degree [/tex]

Formula for area of segment of a circle is given as:

[tex]A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}[/tex]

Answer:

Second

Step-by-step explanation:

Answer:

No, they do not

explanation: "The sum of the lengths of any two sides of a triangle must be greater than the length of the third side."

Answer:

x = y the answer is this...

Answer:

3/5

Step-by-step explanation:

made all equivanlent fractions

1/4+4/3+2/3+1/4+1/2

make same denominator

3/12+16/12+8/12+3/12+6/12

add up

36/12 reduces to 3/1

divide by the nu mber of values

(5)

= 3/5

Solution:

The mean formula is:

Using the formula:

Adding/Subtracting like terms:

Simplifying 2/4:

Adding/Subtracting like terms:

Thus, the mean is 3/5.

Answer:

17÷86×100%

=0.19×100%

=19%

Answer:

43 meters

Step-by-step explanation:

Perimeter is 2l+2w

l equals length

w equals width

264 = 2*89 + 2w

264 = 178 + 2w

264 - 178 = 2w

2w = 86

w = 43

Answer:

first change 1 gallon into quarts and that will be

4.8038

so 2 quarts = ? cross multiply ans the answer u will get is 9.6076

Answer:

C

Step-by-step explanation:

We want to find the horizontal distance from the observatory to the island, which is adjacent to the known angle.

Because we also know the height of the observatory and is opposite to the angle, we can consider using tangent. Recall that:

[tex]\displaystyle \tan \theta ^\circ = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Let the horizontal distance be x. Substitute in known values:
[tex]\displaystyle \tan 25^\circ = \frac{150}{x}[/tex]

Solve for x:

[tex]\displaystyle x = \frac{150}{\tan 25^\circ}[/tex]

Use a calculator. Hence:

[tex]x\approx 322\text{ feet}[/tex]

In conclusion, our answer is C.

Answer:

c.322 ft

Step-by-step explanation:

took the test

Answer:

c.) product costing and materials inventory costing.

Step-by-step explanation:

Product costing methods are used to assign a cost to a manufactured product. The main costing methods available are process costing, job costing, direct costing, and throughput costing. Each of these methods applies to different production and decision environments.

Answer:

Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.

100 POINTS AND BRAINLIEST

Answer:

20

Step-by-step explanation:

He only can put 12 boxes in 1 crate to ship 230 boxes of oatmeal the least number of crates he can use is 20 because 20 crates would= up to 240 boxes.

He can't do 19 boxes because he is short he would then only have 228 boxes and that is 2 short.

But if he does 20 crates he would be good for what needs and just have 10 more extra.

My calculations.

2 0

1  2

____

      4    0

 2    0  0

+

_________

2  4 0

This is saying he had 20 crates and use x as number of boxes for example each 1 crate could ship x amount of boxes and x is representing 12 boxes per crate and since he has 20 crates what is 20 x 12= x( the number of boxes total(240 boxes)

I hope this helps have a awesome day:)

Answer:

20 crates

Step-by-step explanation:

Since he has 230 boxes and each crate can have up to 12 boxes, we can divide 230 by 12 to see how many crates will be needed:

[tex]\boxed{\frac{230}{12} }[/tex]

Let's do long division to solve this:

we have the equation 230 ÷ 12

  __________

12  |    2    3    0



     __0_______

12  |    2    3    0

        -0

         2    3



     __0__1____

12  |    2    3    0

        -0

         2    3

        -1     2

         1     1     0



     __0__1__9_

12  |    2    3    0

        -0

         2    3

        -1     2

         1     1     0

        -1    0     8

         0    0    2

So, as we can see, the quotient is 19 but we have a remainder of 2, which means that, from the 230 boxes, 228 fits into 19 crates and 2 boxes are left. This means that we will need one extra crate to put these 2 boxes.

So, in total, he will need 20 crates.



[tex]Solved~by~-InLoveWithNature-[/tex]

If you have any queries please ask.



By using what we know about circles and distance between points, we will see that:

BD = 18 units

BC = 16.97 units

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

The distance from B to D, will be equal to the distance from B to A, minus the radius of the circle.

Because we know that the center of the circle is at (8, 10), and the edge of the circle is 4 units above the x-axis, we can assume that the closest point on the circle to the x-axis is:

(8, 4)

Then the radius of the circle is given by the distance between these two points:

[tex]r = \sqrt{(8 - 8)^2 + (10 - 4)^2} = 6[/tex]

Now we need to find the distance between A and B.

A = (8, 10)

B = (0, 10 - 16*√2)

The distance between these points is:

[tex]d = \sqrt{(8 - 0)^2 + (10 - 10 + 16*\sqrt{2})^2 } \\\\d = \sqrt{(8)^2 + (16*\sqrt{2})^2 } = 24[/tex]

And the distance from B to D is the distance from B to A, minus the radius of the circle, so we have:

BD = BA - r = 24 - 6 = 18

The distance from B to D is 18 units.

To get the value of BC, we use the fact that this is a cathetus of a right triangle with a hypotenuse of 18 units, and where the other side AC measures 6 units, then we have:

BC^2 + 6^2 = 18^2

BC = √(18^2 - 6^2) = 16.97 units.

If you want to learn more about circles, you can read:

https://brainly.com/question/1559324

Answer:

Any value of "x" makes the equation true

Step-by-step explanation:

(-∞,∞)

All real numbers

i hope this work for you

1: 26=x+10, multiplication property of equality

2: 16=x, simplify

3:

4

Answer:

28

Step-by-step explanation:

because it's value increases by 28 every month

Answer:

x=5

Step-by-step explanation:

7^x-3=49

x-3=2

x=5

Answer:

Jenna is right

Step-by-step explanation:

Jenna is right because what makes up a square is its four sides. When calculating the area of a rectangle you use the same formula as you would for a square. A rectangle is just an elongated square.

Answer:

can you show a picture of the problem

Answer:

Y=3

Step-by-step explanation:

Thin of it this way...if theres 1 box for every 4 book, how many boxes will be for 12 books. you would divide 12 by 4 which gives you 3

Answer: 8/8

Step-by-step explanation:

It's eight yellow slices out of a total of eight slices. So it's impossible to get anything other than yellow.

Answer:

Step-by-step explanation:

If each lap is 1/8 of a mile, then we have to do 3x8 to get our answer.

8x3=24

So hence, Rex has to go 24 times around his block to ride his bike for 3 miles.

Thanks!

The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.

Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,

Christian height = 1.35 m

Tree shadow  = 38.65 meter

Christian shadow = 34.4 meters

Let's establish the proportion to find the height of the tree. Therefore,

let

x = height of the tree

1.35 / x = 34.4 / 38.65

cross multiply

38.65 × 1.35 = 34.4x

x = 52.1775 / 34.4

x = 1.5167877907

x = 1.52 meters

Therefore, The height of the tree is 1.52 meters.

learn more on proportion here: https://brainly.com/question/25336051

Answer:

The answer is 1.52.

Step-by-step explanation:

Answer:

9in³

Step-by-step explanation:

Hope this answers helps you

The square in the circle is an inscribed square

When drawing a square in a circle, the diameter of the circle is the first thing that needs to be drawn immediately after drawing the circle.

This means that: the first error Rafael made was dividing the circle in six part and a square is constructed by first drawing a diameter

Read more about inscribed square at:

https://brainly.com/question/24579466

Answer:

In the image

Hope this helps!

Step-by-step explanation:

Answer:

36:200 = Spam to Total

144:200 = Irrelevant to Total

20:200 = Useful to Total

Step-by-step explanation:

Answer:

-3

-2

-0.8

-1/10

1/2

0.8

7

Step-by-step explanation: