A and B can fill a cistern in 4 hours. A and C can fill
the same cistern in 5 hours. B can fill twice as fast as
C. Find how long C would take to fill the cistern.

Step by step explanation please. ​

Answers

Answer 1

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

Answer 2

A and B can fill a cistern in 4 hours. A and C can fill the same cistern in 5 hours and C would take to fill the cistern 20 hours

We can work easier if we think in terms of an hour

The first equation that we can write is

What is the first equation?

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

The second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

The third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

A and B can fill a cistern in 4 hours. A and C can fill the same cistern in 5 hours and C would take to fill the cistern 20 hours.

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Answer:

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Step-by-step explanation:

But if you need to round it would be 6.

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Answers

answer: 22

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a^2 + b^2 = c^2
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Answer:

7/20

Step-by-step explanation:

Take the time for history assignment and subtract the time for her English assignment

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3/5 *4/4 = 12/20

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Answer:

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Answers

Answer:

g(x) = 7(-x)³

Step-by-step explanation:

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Now, we are told that it reflects across the y-axis. This means that the new function will take the form;

g(x) = f(-x)

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A Statistics class has a test average of 87 with a standard deviation of 2.1. Find the z-score that corresponds to Kate's test score of 93. (Round to the nearest hundredths)

Answers

Answer:

2.86

Step-by-step explanation:

So I'm pretty sure we don't want the probability, just the zscore

to find the zsore subtract the mean and divide by the standard deviation

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Question 6 of 9 Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )

Answers

Answer:

A. 5 × ( 3 + 2 + 2 1/4 )

Step-by-step explanation:

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Therefore, Option A is the correct option

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

8b=119.60

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Answers

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To find:

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Solution:

In a right triangle,

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Answers

Answer:

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Step-by-step explanation:

Using Pythagoras' identity in Δ CDE and Δ ADE

CE² + DE² = DC²

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

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AE² + 7² = 10²

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AE = [tex]\sqrt{51}[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

the seven consecutive composite number less than 100 such that there is no prime number between them are 90,91,92,93,94,95,96,.......

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Answers

Answer:

8.7 cm

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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3x+2y=1
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Answers

Answer:

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2

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Answers

Answer:

4(19x + 42n + 15)

Step-by-step explanation:

Devi bought 7 skirts at $x each, n skirts at $12 each, (2n + 1) skirts at $15 each and 4 skirts at $3x each. Find the total cost of the skirts she bought.​

total cost of the skirt bought can be determined by adding the  total costs of each shirt bought

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Answers

Answer:

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Step-by-step explanation:

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9514 1404 393

Answer:

  C

Step-by-step explanation:

We assume you want these in order by angle measure in some consistent units. Degrees is a reasonable unit to use here.

  π radians = 180°

Substituting 180° where you see π, you find the angle values to be ...

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  π/4 = (1/4)(180°) = 45°

Then the angles from least to greatest are ...

  38°, 45°, 80°, 210°, 360°

or

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BRAINILEST PLZZZZZzzzzz

Answers

Answer:

Base:3

Height:5

Area= 15

Step-by-step explanation:

Formula=BxH

3x5=15

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SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Answers

The triangles are congruent by using SAS.
We know these triangles are congruent by looking at the information given. The bottom sides have the same lengths, giving us one part of SAS.

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(High points) please solve with explanation

Answers

Answer:

it's my own writing

I have done

please make me brainlist

Step-by-step explanation:

I hope this helps u

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Answers

Step-by-step explanation:

the answer is 4 and 64

please give me brainliest

ILL MARK FIRST CORRECT ANSWER BRAINLIEST!!!!

The balance in my account was -40 dollars. I deposited 65 dollars. What is my balance now?

Answers

Answer:

$25

Step-by-step explanation:

-40 + 65 = 25

Hope this helps

quadratic formula?

2x^2-4x+2=0
A. 1
B. -4
C. 6
D. -2
E. 2

Answers

The answer is A.) One

Solve using the quadratic formula
2x^2+x+67=0

Answers

Answer:

[tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Multiple RootsStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Algebra II

Imaginary Root i = √-1

Step-by-step explanation:

Step 1: Define

Identify

2x² + x + 67 = 0

a = 2

b = 1

c = 67

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2(1)}[/tex]Multiply:                                                                                                             [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2-4(2)(67)}}{2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-4(2)(67)}}{2}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{-1 \pm \sqrt{1-536}}{2}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle x=\frac{-1 \pm \sqrt{-535}}{2}[/tex][√Radical] Simplify:                                                                                           [tex]\displaystyle x=\frac{-1 \pm i\sqrt{535}}{2}[/tex]
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