i don’t get the question which makes it harder for me to answer

One pipe takes 6 hours working alone.

The other pipe takes 12 hours working alone.

This is a rate of work problem. The formula utilized is

[tex]w=r\times t[/tex]

where

We are looking for how long it will take each pipe to completely fill the pool

For pipe 1 working alone to fill 1 pool, the work done is 1;

[tex]w=r\times t\\\\1 = r_1 \times t_1\\\\t_1=\frac{1}{r_1}[/tex]

For pipe 2 working alone to fill 1 pool, the work done is 1;

[tex]w=r\times t\\\\1 = r_2 \times t_2\\\\t_2=\frac{1}{r_2}[/tex]

From the question, it would take 9 hours if each pipe took turns to fill half the pool. That is;

[tex]\frac{t_1}{2}+\frac{t_2}{2}=9\\\\t_1+t_2=18[/tex]

However, if both pipes worked together, it would take 4 hours for each pipe. That is;

[tex]w_1+w_2=w\\\\r_1t_1+r_2t_2=w\\\\4r_1+4r_2=1\\\\r_1+r_2=\frac{1}{4}[/tex]

Remember that [tex]r_1=\frac{1}{t_1}[/tex] and [tex]r_2=\frac{1}{t_2}[/tex]. So,

[tex]\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{4}\\\\\frac{t_1+t_2}{t_1t_2}=\frac{1}{4}[/tex]

Also recall that [tex]t_1+t_2=18[/tex]. So,

[tex]\frac{18}{t_1t_2}=\frac{1}{4}\\\\t_1t_2=72[/tex]

The only factors of 72 that satisfy the conditions

[tex]t_1+t_2=18\\\\t_1t_2=72[/tex]

are 6 and 12.

Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours to fill the pool if working alone.

The link below has a similar problem on rate of work

https://brainly.com/question/21485928

Answer:

The answer would be simplified as 24b + 2

Answer:

Here,

3

,

(

−

6

)

,

12

,

(

−

24

)

,

...

is the geometric sequn.

w

h

e

r

e

,

1

s

t

t

e

r

m

=

a

1

=

3

and

common ratio

r

=

−

6

3

=

12

−

6

=

−

24

12

=

−

2

and

S

9

=

?

⇒

n

=

9

We know that,

The sum of first n term of Geometric series is :

S

n

=

a

1

(

r

n

−

1

)

r

−

1

Putting ,

a

1

=

3

,

r

=

−

2

and

n

=

9

S

9

=

3

[

(

−

2

)

9

−

1

]

(

−

2

)

−

1

∴

S

9

=

3

[

−

512

−

1

]

−

3

⇒

S

9

=

3

(

−

513

)

−

3

⇒

S

9

=

513

Step-by-step explanation:

Answer:

Step-by-step explanation:

c.r. r=-6/3=-2

[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]

Answer:

12a + 5c = 169

22a + 10c = 314

Step-by-step explanation:

if a = adult tickets and c = children's tickets

12 adult tickets and 5 children's tickets costs 169 dollars

12a + 5c = 169

Also, 22 adult tickets and 10 children's tickets cost 314 dollars

22a + 10c = 314

Answer:

Its D :)

Step-by-step explanation:

Have a good day.

Step-by-step explanation:

[tex] \frac{2}{3} of \: 54 = 36 \\ \\ \frac{1}{6} of \: 54 = 9 \\ 36 + 9 = 45 \\ 54 - 45 = 9[/tex]

therefore, 9 students haven't given their speech

Answer:

192!!!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Plug in 3 for the a's and -2 for the b's:

[tex]-2^{2} -(-2 + 3(3)) + 3 = ?[/tex]

Then simplify:

[tex]4 - (-2 + 9) + 3 = ?[/tex]

remember to add 1 as a placeholder if the sign before the parenthesis is a minus:

[tex]4 + 4 - 9 + 3 = ?[/tex]

Solve:

[tex]4 +4 -9+3=2[/tex]

Answer:

Your answer is the second one.

Hope this helps!

Step-by-step explanation:

3 * 1/3 is 1, not 1/3

2 2/3 + 1/3 is equal to 3 and the answer is 3

1/3 - 1 is negative 2/3, not 2/3

4 * 1/3 is 4/3, not 12

Answer: I just keep getting [tex]r=\frac{1}{3}[/tex]

[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points

Answer:

Step-by-step explanation:

-5+3 + (-1/6)+ 5/6

-2 - 1/6 + 5/6

-2 + 4/6 (do this boring math)

Answer:

[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]

Step-by-step explanation:

-5+3+(-1/6)+ 5/6

Ok soo -5+3 is -2 So then

-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]

-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])

-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]

-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]

Answer:

2√5

Step-by-step explanation:

√125-√45​

5√5 - 3√5........simplify

2√5....................combine like terms

125 √45

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2

125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u

Answer:

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Step-by-step explanation:

We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  

We first solve i = prt for p.  To accomplish this, divide both sides by rt, which results in:

 i         p

----- = -----

 rt        1

Here we substitute $14,400 for p, 0.08 for r and 30 for t.  

We get the following expression for p:

       $14,400

p = ----------------- = $6,000

       (0.08)(30)

The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr

Answer:

6000

Step-by-step explanation:

14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000

Answer:

3x - y = -1

Step-by-step explanation:

Standard form of equation is Ax + By = C

y - y1 = m (x -x1)

y - 7 = 3 (x - 2)

y - 7 = 3x - 6

3x - y = -7 +6

3x - y = -1

Answer:  [tex]y-3x=1[/tex]

Step-by-step explanation:

Standard form :

Ax+By=C

We have a linear function y=kx+b ;

we also know its slope k=3 ; and that it passes through the point (2 ; 7 )

Then:

[tex]y=3x+1[/tex]

now substitute the knowledge of the coordinates of the point

[tex]3\cdot 2+b=7 \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \ }[/tex]

Then we get the function:

[tex]y=3x+1[/tex]

Standard form :

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

Answer:

Bob can cut 6 pieces

Explanation:

Since he decided to cut pieces that are 1/8 inches long, divide.

> 3/4 ÷ 1/8

To get the answer which is 6

the answer is the third option f(2)<g(2)

if we input in 2 in both equations for f(x) we get 48 and for g(x) we get 175

Answer:

7

Step-by-step explanation:

hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42)  with the number of sides (6) and you get the length of one side (7)

42/6 = 7

Answer:

Step-by-step explanation:

D

Step-by-step explanation:

according to me option A 2 or 5

Answer:

The answer is 1

Step-by-step explanation:

28:7=4

√9=3

4-3=1

Answer:

1

Step-by-step explanation:

Square root of 9=3

28/7= 4

So 4-3=1

Answer is 1

Hope it is correct

Answer:

side lengths are 96 for HI and PQ and 64 for IJ and RQ

hypothenuse is 115

Step-by-step explanation:

delta HIJ = delta PQR

HI = PQ   -->   3x = x + 64

divide both sides by x --> 3 = x/x + 64/x      *x/x = 1

3 = 1 + 64/x subtract both sides by 1

2 = 64/x --> 2x = 64 divide both sides by 2

x = 32

IJ = RQ --> x + 32 = 2x

divide both sides by x

1 + 32/x = 2 (again, x/x = 1)

subtract both sides by 1

32/x = 1

x = 32

plug in 32 for x to get the side lenghts

so 3(32) = 96

and 32 + 32 = 64

use equation a^2 + b^2 = c^2

96^2 + 64^2 = c^

9216 + 4096 = c^2

13312 = c^2        square root 13312

c = 115.378

Answer:

C:$13. 16 nickles left

Step-by-step explanation:

i know i took this test to on time4learning

Answer:

14.5

Step-by-step explanation:

-2.5+x-12-2.5+x≤-12 = 0

2x = 29

x = 29/2

= 14.5

Answer:

Chris has 25 Marbles

Step-by-step explanation:

If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.

Hope this helps!!

Answer:

tan A = 8/15

sin A = 8/17

cos A = 15/17

Step-by-step explanation:

Follow "SOH-CAH-TOA"

SOH---> sin A = (opposite of the angle mentioned) / hypotenuse

CAH---> cos A = (adjacent of the angle mentioned) / hypotenuse

TOA---> tan A = (opposite of the angle mentioned) / (adjacent of the angle mentioned)

Note: Hypotenuse is the side opposite of 90° of a right-angled triangle.

Answer:

y= -2x+8

Step-by-step explanation:

the common required form is: y=s*x+i, where s - slope, i - interception.

According to the form and the condition y=-2x+8.

Answer:

i learn and solve them easily they r easy

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

14°is the correct answer.

Please mark my answer as brainest and follow me to get the answer faster

Answer:

∡d  = 83°

Step-by-step explanation:

∡d is 180 - 97 = 83°

∡d and the 97° angle are supplementary, meaning their sum is 180 degrees

Answer:

[tex]7\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]

First make these two fractions as improper fractions.

[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]

Now multiply the fractions

[tex]\frac{130}{15}[/tex]

You can divide both sides by 5 to simplify the fraction.

[tex]\frac{26}{3}[/tex]

Now make it as a mixed number.

[tex]7\frac{5}{3}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hello there! (:

[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]

Follow these steps to multiply mixed numbers:

Now, how do we convert a mixed number into an improper fraction?

Here are the steps:

Step 1:

2*5=10

10+3=13

[tex]\frac{13}{5}[/tex]

Now, we do the same to the second fraction:

[tex]\frac{10}{3}[/tex]

[tex]\frac{13}{5} *\frac{10}{3}[/tex]

Step 2. Multiply the numerator times the numerator and the denominator times the denominator:

[tex]\frac{26}{3}[/tex]

Now, let's convert this fraction into a mixed number:

[tex]7\frac{5}{3}[/tex]

Hope it helps you!

If you have any queries, feel free to ask me! (:

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help