Mathematics College

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A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?

Answers

Answer 1

Answer:

Fraction = [tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

Given that,

A model of the ocean floor takes up 2/5 of the space in an aquarium.

3/8 of the model is coral.

We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :

[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]

So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.

Related Questions

Need Help please,
Which graph is generated by this table of values?

Answers

Answer:

y=3x-6

Step-by-step explanation:

use 2 of the points for y=a×x+b

we use (2,0) and (3,3) as an example

we get

0=2a+b & 3=3a+b

so

3-0=3a+b-(2a+b)

3=a

b=-6

In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.

Answers

uhhhhhbhhhhbhhhhhhhhh

Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.

Answers

Luis can swim 90 meters per minute
1 1/2 x 60 = 90

(-6, -2) (4, -5) what is the distance in units, between the two points

Answers

answer: √109 ≈ 10.44

A. Dan should hope his flight uses configuration B.

B. Dan should hope his flight uses configuration A.

C. Dan is equally likely to get an aisle seat with whichever configuration his flight uses

D. There is not enough information to determine which configuration Dan should hope his flight uses

Answers

c should be it, try it and see

Answer:

The answer is A.

Need help finding the slope please answer need it done today

Answers

Answer:

1. 1/2

2. 2/5

3. -1

4. 1/2

Step-by-step explanation:

slope is equal to rise/run

you take two points and count how far up and sideways

if it is down make it negative

evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x

Answers

Answer: 9

Step-by-step explanation:

s = 7

k = 4

x = 6

7 - 4 + 6

3 + 6

9

Can you please help me with this equation

Answers

Answer:

0.915

Step-by-step explanation:

Hopefully this helps

Answer:

It's 50 ^^

Step-by-step explanation:

you are given that 4a - 2b =10 and a + c = 3. write an expression in a, b and c that is equal to 23. give your answer in its simplest form.

Answers

4a - 2b = 10
a + c = 3 so a = 3 - c and c = 3 - a

4(3 - c) - 2b = 10
12 - 4c - 2b = 10
-4c -2b = -2
2c - b = 1

That’s all I have so far :/

A computer tracking chip company wants to test their chips. They marked 32 birds by attaching computer chips to their legs. Later on, they catch 440 birds, 10 of which are marked with computer chips attached to them. They provided this data to animal welfare authorities to estimate the bird population. What is the best estimate of the bird population?

Answers

32/p=10/440

10p=14080

p=1408

If f(7) = 22, then
f^-1(22) = [?]

Answers

Answer:

[tex]f(7)[/tex]

f(7)= 22

Does anyone know the answer? If so how did you get the answer.

Answers

So if I remember correctly, so it tells you that the area is 96 ft and we have to find X. We already have two of the measurements and if 96 ft is the area (total) then we have to figure out the missing measurement that will add up with the other two to equal 96 ft. So what I did was that I added up 20 ft and 16 ft= 36 ft. So then you just minus 36 ft from 96 ft to get your answer (X) so X= 60 ft
so uh it’s x=60. Why? the person above said so

64
4+4x U
K
36
27
72
T
96
L
Find the value of x.

Answers

The value of {x} is equivalent to 7.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given are two triangles ΔJTU and ΔJLK.

The triangles ΔJTU and ΔJLK are similar.

We can write the proportional relation as -

{JU/JK} = {JT/JL}

{- 4 + 4x/64} = {27/72}

{- 4 + 4x/64} = 3/8

- 4 + 4x = 24

4x = 28

x = 7

Therefore, the value of {x} is equivalent to 7.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The value of x is 7.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔJKL and ΔJUT

If T and U are midpoints on JL and JK, then TU is parallel to LK.

Then ∠T=∠L (Corresponding angles)

∠U=∠K (Corresponding angles)

Hence, ΔJKL is similar to ΔJUT

Now, JT/JL = JU/JK = TU/LK

27/72 = -4+4x/64 = 36/96

9/24 = -4+4x/64 = 12/32

3/8 = -4+4x/64 = 3/8

-4+4x/64 = 3/8

-4+4x=24

4x=28

x=7

Therefore, the value of x is 7.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

Which of the following statements is true?

A.
A rhombus has no sides the same length.

B.
A square has two right angles.

C.
A trapezoid has two pairs of parallel sides.

D.
A rectangle has four right angles.

Answers

D. A rectangle has four right angles. Hoped this helped.

Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?

Answers

7. 35
Miles per hour

A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?

Answers

Answer:

Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will  Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.

Step-by-step explanation:

hope it helps

solve the equation f/3+22 = 17

Answers

Answer:

-15

Step-by-step explanation:

The (/) is also a division sign

-15/3 + 22 =17

-5 + 22= 17

Answer:

its -5

 

Step-by-step explanation:

So you subtract by 22 then it is -5 Then you multiply by 3 then it is -15

HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!

Answers

Answer:

Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160

Step-by-step explanation:

Answer:

again sorry I do not know but I think it d because it not the same as the rest.

Find the measure of angle ABD.

Answers

Answer:

ABD=23

Step-by-step explanation:

9x-22=6x-7

3x= 15

x=5 but wait thats only what X is so

9(5)-22

45-22

ABD=23

Which ordered pair is the solution of the system
graphed below?

Answers

the ordered pair is (3,8)

can u pls help me with this question ​

Answers

The answer is a b c e

Solve the proportion. 2x/5 = 9/15

Answers

x = 3/2

Getting x on one side of the equation:

(2/5)x = 9/15

x = (9/15)(5/2)

x = 9/6

x = 3/2

Find the Area Of This Figure.

Answers

24 in
to find area of rectangle L x W
it comes out to be 18
to find area of trapezoid 1/2 BxH
so it comeS out to be 6
add them together and get 24

Answer:

42in

Step-by-step explanation:

First divide up the shape.

The bottom will cut off to form a 6x3 rectangle which will have an area of 18in.  Next is the top portion which is a trapezoid. You can figure out the area two ways. You can divide it further into two triangles and a rectangle. Or you can use the trapezoid formula. In this case I feel like dividing it. So since the top is 2 inches the bases of the two side triangles must be 2 due to the bottom base of the whole shape being 6. (1/2*2*6)*2 = 12in. Lastly the center rectangle is 2*6 (got 6 from 9-3) which is also 12. So the top half added together 12+12 equals 24in. When adding both top and bottom portions (18+24) you get 42in.

HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE GUYS I BEG YOU BRAINLIST AND 40 POINTS
ONE IMAGE AND ONE QUESTION
FIND X

Answers

84?Step-by-step explanation:

Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported

Answers

Answer:

1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer

Reduce the ratio to its lowest form. 72:8​

Answers

Answer:

9:1

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).  

The GCF of 72 and 8 is 8  

Divide both terms by the GCF, 8:

72 ÷ 8 = 9

8 ÷ 8 = 1  

The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :  

72 : 8 = 9 : 1  

Therefore:

72 : 8 = 9 : 1

Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years

Answers

Answer:

4530.55

Step-by-step explanation:

2800 x 6.2% = 173.6

2800 + 173.6 = 3157.96

repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation

Determine if the two figures are congruent by using transformations

Answers

I think it’s A, sorry of I’m wrong
d. is the answer (if it helps, try drawing this stuff on a graph).

30 PTS
Please make sure its easy to understand

Answers

1. -1/20
work: Write all numerators above the least common denominator: -8+2+5/20
*Calculate the sum or difference: -1/20

⁵
(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence​

Answers

9514 1404 393

Answer:

  51

Step-by-step explanation:

The rule gives the sequence ...

  75, 69, 63, 57, 51, 45, ...

The 5th number in the sequence is 51.

__

Alternate solution

The equation for the general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

Your sequence has first term 75 and common difference -6, so the equation is ...

  an = 75 -6(n -1)

Then for n=5, the term is ...

  a5 = 75 -6(5 -4) = 75 -24 = 51

The 5th term is 51.

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