1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nordsb [41]
4 years ago
13

It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 13 inches tall. How long will it take

the same hose to fill an aquarium measuring 21 inches by 29 inches by 30 inches?
Mathematics
1 answer:
nirvana33 [79]4 years ago
7 0
To make it easier, you calculate the volume of the first aquarium.

1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches

Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
 
2nd aquarium's rate:
18,270 in./39 min.

As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
You might be interested in
I will give brainiest to whoever answers correctly !!
Juliette [100K]

Answer:

75.99

Step-by-step explanation:

6 0
3 years ago
Describe how you can use two triangles of the same shape and size to form a parallelogram.
d1i1m1o1n [39]
Put them beside each other and then you will form parallelogram. (NOT SURE)

6 0
4 years ago
Read 2 more answers
Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)
alexira [117]

Answer:x^2-5x=-12(y+2)

Step-by-step explanation:

Given

Parabola has x-intercept has (3,0) and (8,0)

and Y-intercept as (0,-2)

Now the general equation of parabola is

y=ax^2+bx+c\quad \ldots(i)

Substitute  (0,-2) in (i) we get

-2=c

Now substitute (3,0) in equation (i)

0=a(3)^2+3b-2\quad \ldots(ii)

Now substitute (8,0) in equation (i)

0=a(8)^2+8b-2\quad \ldots(iii)

Solving (ii) and (iii) we get

a=\frac{-1}{12}\ \text{and}\ b=\frac{5}{12}

therefore

y=\frac{-x^2}{12}+\frac{5x}{12}-2

12y=-x^2+5x-24

5 0
4 years ago
Which relationship has a zero slope
vesna_86 [32]

Answer:

The first table.

Step-by-step explanation:

A slope of 0 means that as x increases, y stays the same.  In the first table, all of our y-values are 2; this means that y stays constant.  

To prove it, we use our formula for slope:

m=\frac{y_2-y_1}{x_2-x_1}

The slope of the line between the first two points is

(2-2)/(-3--1) = 0/-2 = 0

The slope of the line between the second pair of points is

(2-2)/(-1-1) = 0/-2 = 0

The slope of the line between the next pair of points is

(2-2)/(1-3) = 0/-2 = 0

Since the slope between each pair of points is 0, the slope of the entire line is 0.

4 0
3 years ago
Read 2 more answers
The product of two consecutive square numbers is 144. Work out the two numbers
Sergio [31]

Let the first number be = x

Let the second number which is consecutive be = x+1

As given, the product of two consecutive square numbers is 144

x^{2}*(x+1)^{2}=144

Square rooting both sides we get

x(x+1)=12

x^{2}+x=12

x^{2}+x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

x=3 or x=-4

Neglect the negative value so we get x=3

Hence, one number is 3 and the consecutive number is = 3+1=4

The square of the numbers are 9 and 16.

6 0
3 years ago
Read 2 more answers
Other questions:
  • **(Hurry & Please Help)**
    6·2 answers
  • What is the decimal of 1/8
    5·2 answers
  • Can someone help me with number 5 and 6 please on math ​
    6·1 answer
  • What is the coefficient in the algebraic expression 5y-z^3
    12·1 answer
  • Which statement correctly compares the spreads of the distributions?
    13·1 answer
  • Can someone fact check this to make sure its correct
    7·2 answers
  • Estimate and then solve 8,712 ÷ 44  Pls help I will mark u BRAINLEIST​
    11·2 answers
  • Please help!! dont answer if you dont know
    11·2 answers
  • Help me with 24 “ find the value of x”
    7·2 answers
  • FILL IN THE BLANKS: Given P(x) = 3x5 + 7x6 + 11x7 – 12x - 10
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!