Help need work shown ASAP

Complete question is;

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b days, and hose z in c days, where a > b > c. When all three hoses are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?

I. d < c

II. d > b

III. c/3 < d <a/3

A) I only

B) III only

C) I and III only

D) II only

E) I, II and III

Answer:

The correct option is C

Step-by-step explanation:

From the question, the 3 hoses combined together will fill the pool faster than the time for the hoses to accomplish it individually. Therefore, the time "d" will be lesser than any of the individual times used by each hose.

Hence, statement I is true and II is false.

Now, we know that if each of the three hoses took c days to complete the job, then together they would take c/3 days. However, in reality, two of the three hoses even took more than c days. So, in a nutshell together they would take more than "c/3" days, and therefore d > c/3.

Likewise, if each of the three hoses took "a" days to finish the job, then when combined together, they would take "a/3" days. Now, two of the three hoses used fewer than "a" days and so when combined together they would take less than "a/3" days and therefore d < a/3.

If we combine the last 2 paragraphs, we will arrive at c/3 < d < a/3 and that is same as statement III.

Thus, statement I and III are true. The correct option is C

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

Answer:

xyz

Step-by-step explanation:

[tex](-6x)(\frac{1}{2}y)(-\frac{1}{3}z) = (-6)*\frac{1}{2}*(-\frac{1}{3}) * xyz = \frac{6}{6} xyz = xyz[/tex]

[tex]3x-1=81x\\78x=-1\\x=-\dfrac{1}{78}[/tex]

Answer:

[tex]\large \boxed{\displaystyle x=- \frac{1}{78}}[/tex]

Step-by-step explanation:

[tex]3x-1=81x[/tex]

Subtract 3x from both sides of the equation.

[tex]-1=78x[/tex]

Divide both sides of the equation by 78.

[tex]\displaystyle \frac{-1}{78} =x[/tex]

Answer:

FALSE

Step-by-step explanation:

The properties of exponents tells us that

[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]

Answer:

False

Step-by-step explanation:

[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]

Hope this helps ;) ❤❤❤

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

Answer:

The correct option is;

D) Jan. 1

Step-by-step explanation:

The given information are;

The date at which drinking a glass of cola a day of cola began = Dec 3

The days in which to drink cols = Every day of the week except Saturday and Sunday

The number of glasses of drinking cola = 22

In the fires week, number of days in which to drink cola = Tuesday, Wednesday, Thursday, and Friday which is 4 days

On the week commencing Dec 9, 5 glasses drank

On the week commencing Dec 16, 5 glasses drank

On the week commencing Dec 23, 5 glasses drank

On the week commencing Dec 30, 3 glasses drank

Therefore on the week commencing Dec 30, cola was drank on the 30th, 31st and the 22nd glass was drank on Jan. 1

The correct option is Jan. 1.

Answer:  [tex]\sqrt{5} /7[/tex]

Step-by-step explanation:

5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.

The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.

Answer:√5 / 7

Step-by-step explanation:

Best way to solve this is by using

[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex]where \: s = \frac{a + b + c}{2} [/tex]

s=(12+8+17)/2

=18.5

using the formulae

area =43.5

Answer:

  A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.

Step-by-step explanation:

The table with a constant ratio between A and B is the one with entries ...

  B/A = 2/1 = 4/2 = 6/3

The ratio is 2. The table is the last one described here.

Answer:

b

Step-by-step explanation:

hope this helps

Answer:  is 762 meters

Step-by-step explanation:

One foot is equal to 0.3048 meters so multiply 2500 by 0.3048 to find how many meters there are.

2500 * 0.3048 = 762

Answer:762.5 meters

Step-by-step explanation:

1 foot =0.305 m

Hence,0.305×2500=762.5 metres as the answer.

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

cosec x = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{sin0}{1-cos^20}[/tex]

= [tex]\frac{sin0}{sin^20}[/tex] ← cancel sinΘ on numerator/denominator

= [tex]\frac{1}{sin0}[/tex]

= cosecΘ = right side

Step-by-step explanation:

p² - 4p is subtracted from p² + p - 6 is written as

p² + p - 6 - (p² - 4p)

Remove the bracket and simplify

That's

p² + p - 6 - p² + 4p

p² - p² + 4p + p - 6

We have the answer as

Let the unknown expression be x

Subtract x from the expression to get p - 9

That's

5p - 6 - x = p - 9

x = 5p - p - 6 + 9

x = 4p + 3

The expression is

Hope this helps you

Answer:

21212121/100000000

Step-by-step explanation:

21212121/100000000 cannot be simplified

Hope this helps!

Answer:

0.21212121 Cannot be converted into a fraction

[tex] \Large{ \boxed{ \rm{ \red{Refer \: to \: the \: attachment}}}}[/tex]

➤ Like Here, AB = BC and AD = CD

━━━━━━━━━━━━━━━━━━━━

Answer: The number of the adult tickets is 168

Step-by-step explanation: * Lets explain how to solve the problem

- The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Give credit to ashraf 82

Answer:

The answer is 168

Step-by-step explanation:

Answer:

D { -1,0,3,5}

R { -3,-1,1,7}

Step-by-step explanation:

The domain is the input values

3,-1,5,0

We normally put them from smallest to largest

D { -1,0,3,5}

The range is the output values

1,-3,7, -1

We normally put them from smallest to largest

R { -3,-1,1,7}

Answer:

Picture below

Step-by-step explanation:

● 5/2 is 2.5 so just divide the space between 3 by 2

● for 1/3 divide the space between 0 and by 3

Answer:

Tolerance

Step-by-step explanation:

Value in this situation doesn't make sense and you can search up the definition of tolerance on the web to verify.

Also, this doesn't seem like a math related question so you should have answered this in English or something.  

area of circle =22/7×4=12.56

Answer:

First. 115°

Second. 65°

Third. 65°

Fourth. 7

Fifth. 425.25

First

angle DAB = angle ADC (since this is an isosceles trapezoid)

Second

In a trapezoid adjacent angle are supplmentary (that is their sum is 180°)

180-115 is 65°

Third

(Same reason as second)

Fourth

The side 3x+4 is same as the opposite side

So 3x + 4 = 25

on solving you get x = 7 in

Fifth

[tex]area \: = \frac{1}{2} \times length \: of \: the \: perpendicular \: (b1 + b2)[/tex]

area = 1/2 × 13.5 (20+43)

area = 1/2 × 13.5 × 63

Thus area is 425.25

Answer:

Step-by-step explanation:

1)As ABCD is isosceles trapezium,

∠ADC= ∠DAB

∠ADC = 115°

2) AD //BC

∠ADC + ∠DCB = 180°   {co interior angles}

115 + ∠DCB = 180

 ∠DCB = 180 - 115

 ∠DCB = 65°

3) As ABCD is isosceles trapezium,

∠CBA = ∠DCB

∠CBA = 65°

4) As ABCD is isosceles trapezium, non parallel sides are congruent.

AB = DC

3x + 4 = 25 in

3x = 25 - 4

3x = 21

x = 21/3

x = 7 in

5) height = 13.5 in

a= 43 in

b= 20 in

Area of trapezium = [tex]\frac{(a+b)*h}{2}\\[/tex]

                   [tex]= \frac{(43 +20)*13.5}{2}\\\\=\frac{63*13.5}{2}\\\\\\= 425.25 in^{2}[/tex]

Answer:

Step-by-step explanation:

Additive identity property.

The sum of any number  and zero is the original number

3x + 0 = 3x

Answer:

Step-by-step explanation:

Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.

If E is between F and G, the FE+EG = FG

EG = FG - FE

Given FE = 3 in and FG = 7 in

On substituting into the expression above to get EG;

EG = 7in - 3in

EG = 4in

Hence the length of EG is 4in

Answer:

x<10

Step-by-step explanation:

On the number line it shows that the dot is at 10.  Since the dot is not colored in, we know it's not greater/less than or equal to.  Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤.  Only when the dot is colored in, is there a possibility it is greater/less than or equal to.  So it can be greater than or less than something.  Since it starts at 10 and is decreasing, it is going to be less than.

X will be less than something.  And because the dot is at 10, it means 10 was the start.  X is less than 10 since the arrow is pointing to where the numbers are decreasing.  So, x<10.

Answer:

-16

Step-by-step explanation:

We are given the expression:

-c+6x

and asked to evaluate when c=4 and x=-2. Therefore, we must substitute 4 in for c and -2 in for x.

-(4)+6(-2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.

First, multiply 6 and -2.

6 * -2= -12

-(4)+ -12

-(4) -12

Distribute the negative sign.

-4 -12

Subtract 12 from -4.

-16

The expression -c+6x when c=4 and x= -2 is -16.

Answer:

-16

Step-by-step explanation:

Start with -C+ 6x.  Replace C with '4' and x with '-2'

This comes out to -(4) + 6(-2) = -4 - 12 = - 16

Answer:

9x + 4y +(-5)

Step-by-step explanation:

Given

9x + 4y - 5

Required

Interpret

Write as a sum

The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.

The terms are the expression being added together and they are 9x, 4y and -5

The variables are the represented with alphabets they change in values; the two variables in the given question are x and y

Constant are numbers standing alone; This is 5

Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4

Writing 9x + 4y - 5 as a sum

The -5 can be written as +(-5); So, we have

9x + 4y +(-5)

Answer:

5/2=20/8=35/14=125/50

Answer:

8, 14, 50

Step-by-step explanation:

5 x 4 = 20

2 x 4 = 8

5 x 7 = 35

2 x 7 = 14

5 x 25 = 125

2 x 25 = 50

Answer:

248.96.

Step-by-step explanation:

We write  it as:

(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3

= 128 + 89.6 + 26.88 + 4.48

= 248.96.

Answer:

3/8 is left

Step-by-step explanation:

Tom ate 3/8 of the pizza

Take 1 - 3/8

8/8 - 3/8 = 5/8

5/8 of the pizza is left

The brother at 2/5 of the remainder

5/8  * 2/5

2/8

1/4

His brother at 1/4 of the  of the pizza

5/8 - 1/4

5/8 - 2/8

3/8 is left