An aquarium holds 11.35 cubic feet of water, and is 2.8 feet long and 1.5 feet wide. What is its depth? Round your answer to the nearest whole number.

Answer:

Let's let g = Dr. Garcia's age and s = his son's age.

g = 2s, right?

20 years ago, Dr. Garcia was g - 20 years old.  He was also 4(s - 20), 4 times his son's age 7 years ago.

g - 20 = 4(s - 20)

g - 20 = 4s - 80

In the first equation, we have g = 2s.  We are going to substitute this g into the second equation.

2s - 20 = 4s - 80

       60 = 2s

       s = 30

So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.

20 years ago, his son would have been 10 and Mr. Garcia would have been 40.  10 x 4 = 40.

Step-by-step explanation:

Brainliest?

Answer:

Dr. Garcia's age is 60, and his son's age is 30.

Step-by-step explanation:

Let x be Dr. Garcia's age, and y his son's age.

1. Dr. Garcia is twice as old as his son

x = 2 y

2. Twenty years ago, he was 4 times as old as his son was then

x - 20 = 4 (y - 20)

Substitute x in 2 and solve for y:

2 y - 20 = 4 (y - 20)

2 y - 20 = 4 y - 80

- 20 = 2 y - 80

60 = 2 y

y = 30

Put y back into 1:

x = 2 (30)

x = 60

So Dr. Garcia's age is 60, and his son's age is 30.

Answer:

Where is the number i need to round to?

(Please don't give me a bad rating i'm trying to help :) )

Answer:

106,000 is the answer help me with my answer to

Answer:

The medians differ by $14,000, but if the IQR is larger than about $7,000, there will not be a meaningful difference between the median salaries in the two cities.

Step-by-step explanation:

Answer:

Step-by-step explanation:

socratic.org/questions/how-do-you-factor-1-2-out-of-1-2x-6#630699

The equation is A = - ( 1/2) [ x - 12 ]

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of A is A = - ( 1/2 )x + 6

Now , on factorizing the given expression , we get

On taking the common term as - ( 1/2 )

A = - ( 1/2 )x + 6

A = - ( 1/2 ) [x - ( 2 x 6 ) ]

On simplifying the equation , we get

A = - ( 1/2 ) [ x - 12 ]

Therefore , the value of A is A = - ( 1/2 ) [ x - 12 ]

Hence ,The equation is A = - ( 1/2) [ x - 12 ]

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

110

Step-by-step explanation:

3×30=90

90+20=110

hope this helps

plz can i get brainliest:)

Answer:

v= pi*r^2*h

v=1/3 * pi*r^2*h

Answer:

First, let's find the area of the whole pizza:

Area of circle = pi x r^2

r = 16 / 2

r = 8

Area of pizza = pi x 8^2 = 64pi

Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:

64pi / 8 = 8pi

The area of each slice is then 8pi in.^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

[tex]A=P (1+rt)[/tex]

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

Answer:

Amount of loan pay = $6.840 (Approx.)

Step-by-step explanation:

Given:

Amount of loan borrow = $4,500

Rate of interest = 15% = 0.15

Number of year = 3 year

Find:

Amount of loan pay

Computation:

Future value = Present value[1+r]ⁿ

Amount of loan pay = Amount of loan borrow[1+r]ⁿ

Amount of loan pay = 4,500[1+0.15]³

Amount of loan pay = 4,500[1.15]³

Amount of loan pay = 4,500[1.52]

Amount of loan pay = $6.840 (Approx.)

Answer: 20 mph

Step-by-step explanation:

Given

The airplane is at a height of 528 ft with a rate of 20 mph

The automobile is also directing east at the rate of 40 mph

at this instant, they are separating by the relative velocity between them

[tex]\Rightarrow v_{rel}=40-20=20\ mph[/tex]

Answer: 14/285

Step-by-step explanation:

B = 10

G = 8

T = 18

So its a 8/20 that 1 is a girl but then 2nd its 7/19 and 3rd 6/18 so

8/20 * 7/19 * 6/18 = 14/285

Answer:

0.6 is the answer hope this helps

have a nice day bye

Answer:

The height is 11 in

Step-by-step explanation:

I think you mean triangle?

area of a triangle is A = 1/2 b h

fill in and solve for h

22 = 1/2 4 h

44 = 4h

11 = h

Answer:

i think b. it's the only answer that would make sense.

Step-by-step explanation:

let me know if this is wrong.

Answer:

If Angle A and Angle B are vertical angles,

what is value of x?

D. 8

If Angle A and Angle B are supplementary

angles, what is measure of

Angle B?

D. 140

Step-by-step explanation:

If Angle A and Angle B are vertical angles,

what is value of x?

Vertical angles are congruent thus

40° = 5x°

5x° = 40°

(5x / 5)° = (40 / 5)°

x° = 8°

If Angle A and Angle B are supplementary

angles, what is measure of

Angle B?

Supplementary angles add up to 180° or a straight line.

180° – 40° = 140°

it's not A or D

Step-by-step explanation:

math I guessssssss

Answer:

D

Step-by-step explanation:q

If you have a 30 degree reference angle, the side opposite (the side not part of the reference angle) is 1/2 the size of the hypotenuse.

Since the side opposite is 12, the hypotenuse is easily found.

1/2 = opposite / hypotenuse

1/2 = 12 / hypotenuse                     Cross multiply

hypotenuse = 2 * 12

hypotenuse = 24

Now use the Pythagorean Theorem to get the third side.

c = 24

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 24^2

144 + b^2 = 576                                  Subtract 144 from both sides.

b^2 = 576 - 144

b^2 = 432

Now  you have to factor 432 down to its primes

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The rule is for every two 2s you take one outside the root sign and throw the other one away. If there are an odd number of factors, leave one of them under the root sign.

sqrt(b^2) = sqrt(432)

b = 4 * 3sqrt(sqrt(3))

b = 12 sqrt(3)

Answer

r = 12*sqrt(3)

t = 24

The answer is D

Answer:

Option A

Step-by-step explanation:

Use the Pythagoras Theorem

Hypotaneous² = base² + height²

BC² = AB² + AC²

BC = √ (AB² + AC²)

BC =  √ (12² + 16²)

BC = 20

Answer:

20

Step-by-step explanation:

Here's your solution

=> in a right angle traingle

BC^2 = AB^2 + AC^2

=> BC^2 = 16^2 + 12^2

=> BC ^2 = 256 + 144

=> BC^2 = 400

=> BC = √400

=> BC = 20

hope it helps

Answer:

553

Step-by-step explanation:

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Answer:

3.7

Step-by-step explanation:

each tick represents .1 unit

Answer:

8

Step-by-step explanation:

Yes