Lance has an aquarium in the shape of a rectangular prism completely filled with water that has a base area of 65 in² and a height of 12 in. Lance pours all of its contents into a second aquarium, also in the shape of a rectangular prism, that has a height of 3 in. The water completely fills the second aquarium.

What is the base area of this second aquarium?

Enter your answer in the box.

Answer: y ≤ -2.2

Step-by-step explanation:

Given expression

-2 (7 + y) ≥ 8 (y + 1)

Expand parentheses and apply the distributive property

-14 - 2y ≥ 8y + 8

Subtract 8y on both sides

-14 - 2y - 8y ≥ 8y + 8 - 8y

-14 - 10y ≥ 8

Add 14 on both sides

-14 - 10y + 14 ≥ 8 + 14

-10y ≥ 22

Divide -10 on both sides

(REMEMBER to change the [≤, ≥] signs when multiplying/subtracting a negative number)

-10y / -10 ≥ 22 / -10

[tex]\boxed{y\leq -2.2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

12:7

Step-by-step explanation:

24 is the number of hotdogs and for very 24 hotdogs there are 14 hamburgers:

So it can be wirriten like this: 24:14

But we can simlify it further by dividing each side by 2.

24 / 2 : 14 / 2

12:7

The probability of. Or picking pink would be 1 - the probability of picking pink:

1 - 1/6 = 5/6

Answer: 5/6

Answer:

40 feet

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

An inscribed angle is half the measure of the central angle that intercepts the same arc.

__

(i) 35° = x/2   ⇒   x = 70°

(ii) x = 110°/2 = 55°

(iii) x = 70°/2 = 35°

(iv) x = 90° -55° = 35° . . . . a triangle inscribed in a semicircle is a right triangle

Step-by-step explanation:

#1

Centre = O

x = 35 × 2

x = 70⁰

#2

Centre = O

x = 110/2

x = 55⁰

#3

Centre = O

x = 70/2

x = 35⁰

#4

Centre = O

A right angle triangle has a side of 90⁰

x = 90 - 55

x = 35

Answer:

15

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 2 on the left side and the dividend 30 on the right side like this:

2 ⟌ 3 0

Step 2:

The divisor (2) goes into the first digit of the dividend (3), 1 time(s). Therefore, put 1 on top:

1

2 ⟌ 3 0

Step 3:

Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.

1

2 ⟌ 3 0

2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 2 = 1) and write the answer below.

1

2 ⟌ 3 0

- 2

1

Step 5:

Move down the 2nd digit of the dividend (0) like this:

1

2 ⟌ 3 0

- 2

1 0

Step 6:

The divisor (2) goes into the bottom number (10), 5 time(s). Therefore, put 5 on top:

1 5

2 ⟌ 3 0

- 2

1 0

Step 7:

Multiply the divisor by the result in the previous step (2 x 5 = 10) and write that answer at the bottom:

1 5

2 ⟌ 3 0

- 2

1 0

1 0

Step 8:

Subtract the result in the previous step from the number written above it. (10 - 10 = 0) and write the answer at the bottom.

1 5

2 ⟌ 3 0

- 2

1 0

- 1 0

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 30 divided by 2 calculated using Long Division is:

15

Answer:

3 nickels and 8 dimes

Step-by-step explanation:

3 nickels equals 15

3 plus 5 equals 8

8 dimes equals 80

80 plus 15 equals 95

so ur answer is 3 nickels and 8 dimes

Answer:

5. 25

6. 36

7. 49

I think..

Answer:6365 is already in the simplest form.

Step-by-step explanation :

It can be written as 0.969231 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

how many times is the money of the elder brother ?

this is the same to ask "how many times do I need to add the money of the younger brother to get the money off the older brother ?"

this is simply done by division : how many times do 56 fit into 280 ?

280 / 56 = 5

so, the elder brother has 5 times the money of the younger brother.

Answer:

56+56+56+56+56

hence

5 times

Answer:

5.375 small 10 down by 5 at the end dont know how to do small numbers

Step-by-step explanation:

number: 101.011

frome: binary [base-2]

To: decimal [base-10]

Answer:

Step-by-step explanation:

Volume of the cube = s^3

s = 9cm

V = 9 * 9 * 9

V = 729 cm^3

d = mass / volume

d = 3645 / 729

d = 5 grams / cm^3

Answer:

The density of Block B is equal to the density of Block C.

Step-by-step explanation:

not sure tho ☝️

Answer:

-3/8

Step-by-step explanation:

8y = 4 - 3x

~Divide 8 to everything

y = 1/2 - 3/8x

~Reorder

y = -3/8x + 1/2

In slope intercept form [ y = mx + b ] m resembles the slope so -3/8 is the slope.

Best of Luck!

Answer:

0.75$ did it on quiz 100% right

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f

(

x

)

=

x

2

,

[

2

,

3

]

0.75

We know that the function:

f(x) = 100 + 0.75×(x - 50)

Models the cost in dollars of printing x t-shirts.

We want to find the rate of change of the cost in dollars. We will find that the correct option is D: $0.75

First, remember that a general linear equation can be written as:

y = a×x + b

Where the rate of change is "a" (also called the slope)

So just let's write our function in this way, to do this, we need to distribute the multiplication in the second term:

f(x) =  100 + 0.75×(x - 50) = 100 + 0.75×x - 0.75×50 = 0.75×x + 62.5

So we can see that the rate of change is 0.75

And f(x) is expressed in dollars, thus the actual rate of change is $0.75.

Then the correct option is D: $0.75

If you want to learn more, you can read:

https://brainly.com/question/11897796

Answer:

the graph will have a positive slope(the line will go from lower left to upper right)

Answer:

JK = 14 , IJ = 7

Step-by-step explanation:

Since K bisects JL , then

JK = KL = 14 , that is

JK = 14

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

IJ = IL - JL = 35 - (2 × 14) = 35 - 28 = 7 , that is

IJ = 7

Answer:

3/2 o 1 entero 1/2

Step-by-step explanation:

150% es igual a 150 sobre 100= 150/100

(% este simbolo significa que el numero será divido por 100)

simplificas y te va a salir 3/2

Answer:

see explanation

Step-by-step explanation:

The area (A) is calculated as

A = 3(2x + 1) = 6x + 3

Now 12 ≤ A ≤ 36 , that is

12 ≤ 6x + 3 ( subtract 3 from both sides )

9 ≤ 6x ( divide both sides by 6 )

1.5 ≤ x

and

6x + 3 ≤ 36 ( subtract 3 from both sides )

6x ≤ 33 ( divide both sides by 6 )

x ≤ 5.5

Put the 2 results together, then

1.5 ≤ x ≤ 5.5

Substitute the end values into length = 2x + 1

x = 1.5 : length = 2(1.5) + 1 = 3 + 1 = 4

x = 5.5 : length = 2(5.5) + 1 = 11 + 1 = 12

length can be between 4 and 12

Answer: Y = 3500, X = 16

Step-by-step explanation:

Your maximum Y-value is 3000, or, the price of your car, so that could be the answer that's being looked for. However, it's always a good idea to leave a little extra space on the end of the graph so that you can show that your line ends instead of continuing onwards.

Your maximum X-value is 15, or, the number of months it would take to pay off the car (200 dollars per month, until you reach 3000 dollars), but again, it's always smart to leave a little buffer space so that you can see that the graph actually ends.

The answer your teacher wants is probably that the maximum Y-value should be 3000 and the maximum X-value should be 15, but if you have to actually graph this equation yourself and want it to be understood that your graph is a line segment and not a line (the difference being that a line is infinite and a line segment has two ends), you will want to show that by not ending the graph at the same spot as the line segment and instead extending it a little further.

Answer:

B Square root of 16

Step-by-step explanation:

B Square root of 16 Is the asnwer because Square root of 16 is 4

While the other options leads to decimals answer. And only number 4 is rational

I hope this helps, dont hesitate to ask for any question.

I hope this helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

Lets substarct

[tex]\\ \sf\longmapsto \dfrac{5.2\times 10^6}{2.6\times 10^4}[/tex]

[tex]\\ \sf\longmapsto 2\times 10^{6-4}[/tex]

[tex]\\ \sf\longmapsto 2\times 10^2[/tex]

Answer:

D

Step-by-step explanation:

i did that question and got it right

Answer:

G is 7.3 and H is .72

Step-by-step explanation:

Answer:

G.= 0.725      H.= 0.072

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

What do you know about y?

Nothing. It could be odd or even. You can't take the chance. So you need to start your list with 2y

That means that 2y + 2 is the second member in your list

2y + 4

2y + 6

2y + 8

2y + 10

But notice you only have 5 numbers. 2y + 10 cannot be the answer.

The answer must be 2y + 20

Hello!

The midpoint separates two equal distances,

This means that AB = BC

So lets type of the equation to solve for x:

2x + 7 = 5x -14

Lets add 14 on both sides.

2x + 21 = 5x

Lets subtract 2x on both sides.

21 =3x

Lets divide 3 by both sides

x = 7

AB= 21

2(7) + 7

14 + 7

21

BC = 21

5(7) - 14

35 - 14

21

AC = 42

21 + 21 = 42

I hope this helps, Have a great day!!

Answer:

2(-x+4)+5x-3 = 11

-2x+8+5x-3=11

-2x+5x+8-3=11

-3x+5=11

-3x=11-5

-3x=6

x=6/-3

x=-3/1

or x=-3. answer

Step-by-step explanation:

please mark me brainliest please

Answer:

x = 3

Step-by-step explanation:

2(-x + 4) + 5x - 3 = 11​

~Simplify

-2x + 8 + 5x - 3 = 11

~Combine like terms

3x + 5 = 11

~Subtract 5 to both sides

3x = 6

~Divide 3 to both sides

x = 3

Best of Luck!