(4x + 2x + 2x2- 8) + (2x2 + x2+ 9)<br> Subtract or add the polynomials.

A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool.

iris [78.8K]

Answer:

Tap A 3hrs

Tap B 6hrs

Step-by-step explanation:

Let the volume of the swimming pool be Xm^3.

Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.

x/Ta= Ra

x/Tb= Rb

X/(Ra + Rb)= 2

Ta = Tb - 3

From equation 2:

X = 2( Ra + Rb)

Substituting the values of Ra and Rb Using the first set of equations

X = 2( x/Ta + x/Tb)

But Ta = Tb - 3

1/2 = 1/(Tb - 3)+ 1/Tb

0.5 = (Tb + Tb-3)/Tb(Tb - 3)

At this juncture let’s say Tb = y

0.5 = (2y - 3)/y(y - 3)

y(y-3 ) = 4y - 6

y^2 -3y - 4y + 6 = 0

y^2 -7y + 6= 0

Solving the quadratic equation, we get y =

y = Tb = 6hrs or 1hr

We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours

Now, we get Ta by Tb -3 = 6 - 3 = 3hrs

5 0

3 years ago

Triangle ABC

Stolb23 [73]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

$\qquad \sf \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree$

$\qquad \sf \dashrightarrow \: x\degree + 128\degree = 180\degree$

$\qquad \sf \dashrightarrow \:x = 180\degree - 128\degree$

$\qquad \sf \dashrightarrow \: x = 52\degree$

Now, solve for y ~

$\qquad \sf \dashrightarrow \: 70\degree + 49\degree + y = 180\degree$

$\qquad \sf \dashrightarrow \: y + 119 = 180\degree$

$\qquad \sf \dashrightarrow \: y = 180 - 119\degree$

$\qquad \sf \dashrightarrow \: y = 61 \degree$

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

8 0

2 years ago

Read 2 more answers

Please help I don't understand this very well<br>*picture*

Elenna [48]

Answer:

The inequality is 9 less than and equal to 5

The marked area on the line is numbers all below 5 which covers the less than and since it stop directly at 5 it's going to be equal to that as well

8 0

3 years ago

Read 2 more answers

Evaluate the expression a•b for a =24 and b=8

Butoxors [25]

$\huge\text{Hey there!}$

$\mathsf{a\times b}}$

$\mathsf{= 24\times8}$

$\mathsf{= 192}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{192}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

4 0

2 years ago

The safety director of an insurance company took samples at random from his minor accidents file and classified them according t

lina2011 [118]

Answer:

Step-by-step explanation:

A. H0: accident are evenly distributed

H1: accident are not evenly distributed

B. The critical value is chi²(0.01,7) = 18.4753

C. The decision rule would be to reject h0 and accept h1 if the test statistic is higher than the critical value

D. Test statistic = summation (Oi-Ei)²/E

This gives 24.6 from the table.

E. Based on these calculations, test statistic is > than critical value

24.6> 18.4753

F. The inference is that accidents are not evenly distributed at 0.01 level of significance.

8 0

2 years ago

(4x + 2x + 2x2- 8) + (2x2 + x2+ 9) Subtract or add the polynomials.