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Rom4ik [11]
3 years ago
14

working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. if it takes 40 minutes for the la

rger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?​
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

120 minutes

Step-by-step explanation:

large horse  + small horse = together

1 pool/40 minutes + x = 1pool/30 minutes

1/40 + x = 1/30

subtract 1/40 from both sides

x = 1/30 - 1/40

use 120 as common denominator

x = 4/120 - 3/120

x = 1/120

x = 1 pool / 120 minutes

It takes the small horse 120 minutes

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21 is less than or equal to -3(x-4) is less than 18
Maslowich

Answer:

-3 ≤ x <-2

Step-by-step explanation:

First, you should set up the equation to solve it, which is,

21 ≤ -3(x-4)<18

Then you should simplify the equation to,

21 ≤ -3x+12<18

Then subtract 12 from both sides.

9 ≤ -3x<6

Lastly, divide -3 from both sides.

-3 ≤ x<-2

8 0
3 years ago
if 1/4 cup sour cream makes 3 2/8 containers of soup, then how much sour cream is in 1 container of soup?
alina1380 [7]
All you need to do is multiply 1/4 and 3 2/8 and see what's your answer
6 0
4 years ago
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A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
Evaluate: 2 + x - 2*7 for x = 7
Bas_tet [7]
Substitute x=7 in the equation:
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3 0
3 years ago
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Find Y if AB bisects DAC and CB bisects ACE
xxMikexx [17]

Answer:

L1 and L2 are parallel

BAC = 58° as it is given in the question that AB bisects DAC

similarly BCE = y°

angle B = 90° ( from figure)

Y + 58° + 90° = 180 ( angle Sum property of a triangle).

Y + 148° = 180°

Y = 180 - 148

Y = 32°

5 0
2 years ago
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