Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answer:

b. (5,-2)

Step-by-step explanation:

When we substitute the x and y values into the equation and simplify the equation we end up with these equations:

-2 ≤ 0

-2 ≥ -9

Once simplified, the equations are proven to be correct.

(I hope this helps)

Answer:

The answer is B, (5,-2)

Step-by-step explanation:

If you input the x and y values from (5,-2) into the system on inequalities both the equations end up being true, while all the other make one or more solution set incorrect when you input the x and y values.

Answer:

Option B

Step-by-step explanation:

Given:

AB ≅ CD

BC ≅ DA

To Prove:

ΔABD ≅ ΔCDB

      Statements                             Reasons

1). AB ≅ CD                              1). Given

2). BC ≅ DA                             2). Given

3). BD ≅ BD                             3). Reflexive property

4). ΔABD ≅ ΔCDB                   4). SSS postulate of congruence

Therefore, Option (B) will be the correct option.

Answer:

False

Step-by-step explanation:

2x + y = 0

Try (1, -2)

2(1) + (-2) = 0

2 + (-2) = 0

0 = 0

The solution works on the first equation.

-x + 2y = 5

-(1) + 2(-2) = 5

-1 - 4 = 5

-5 = 5

The solution does not work in the second equation.

Answer: False

Answer:

The values are:

Step-by-step explanation:

Given:

To Determine:

a = ?

b = ?

c = ?

Determining the values of a, b, and c

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

Using the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

given

(x₁, y₁, z₁) = (1, 2, b) = P

(x₂, y₂, z₂) = (c, -7, 4) = Q

m = (x, y, z) = (-3, a, -1) = R

substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P,   (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula

[tex]m\:=\:\left(\frac{x_1+x_2}{2},\:\frac{y_1+y_2}{2},\:\frac{z_1+z_2}{2}\right)[/tex]

[tex]\left(x,\:y,\:z\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

as (x, y, z) = (-3, a, -1), so

[tex]\left(-3,\:a,\:-1\right)\:=\:\left(\frac{1+c}{2},\:\frac{2+\left(-7\right)}{2},\:\frac{b+4}{2}\right)[/tex]

Determining 'c'

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

-3 × 2 = 1+c

[tex]1+c = -6[/tex]

[tex]c = -6 - 1[/tex]

[tex]c = -7[/tex]

Determining 'a'

a = (2+(-7)) / 2

[tex]2a = 2-7[/tex]

[tex]2a = -5[/tex]

[tex]a = -5/2[/tex]

Determining 'b'

-1 = (b+4) / 2

[tex]-2 = b+4[/tex]

[tex]b = -2-4[/tex]

[tex]b = -6[/tex]

Therefore, the values are:

Given:

Inter quartile range(IQR) of a distribution = 7

25th percentile = 16

To find:

The upper quartile.

Solution:

We have,

IQR = 7

25th percentile = lower quartile = 16

We know that,

IQR = Upper quartile - Lower quartile

Let the upper quartile be [tex]Q_3[/tex].

Using the above formula, we get

[tex]7=Q_3-16[/tex]

Adding 16 on both sides, we get

[tex]7+16=Q_3-16+16[/tex]

[tex]23=Q_3[/tex]

Therefore, the upper quartile of the distribution is 23.

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = [tex]\sqrt{1+1+16} = \sqrt{18}[/tex]

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=[tex]\sqrt{9+9} =\sqrt{18}[/tex]

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = [tex]\sqrt{16+4+16} =\sqrt{36} =4[/tex]

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



Answer:

x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....

Answer:

1 is the answer

Step-by-step explanation:

got a 100% on my test

Answer: its four inches

Step-by-step explanation:

one green block is 1 inch and there is 4 green blocks meaning that it is four inches

Answer:

4 inches

Step-by-step explanation:

Answer:

first of all 44% of 600 people is equal to 264 .

the statistics is misleading because 264 people can't unless the taxi angecy included themselves

Answer:

64%

Step-by-step explanation:

16/25 will give you 64%

please give thanks by clicking heart button!

Answer:

64%

Step-by-step explanation:

Answer:

65% :) enjoy your day!

Step-by-step explanation:

please mark brainliest

We are given:

The line passes through (2,-3)

Slope of the line = 4

Finding the equation of the line:

We know that the general form of the slope-intercept form is:

y = mx + b         [where m is the slope and b is the y-intercept]

y = 4x + b          [since slope = 4]

Finding the y-intercept:

Now, we are given that the line passes through the points: (2,-3)

which can be written as: x = 2 and y = -3

Since the line passes through these points, these values must satisfy the equation

So,

y = 4x + b

-3 = 2(4) + b

-3 = 8 + b

b = -11                [subtracting 8 from both sides]

Hence, the y-intercept is -11

Equation of the line:

We wrote the equation of the line as:

y = 4x + b          (where b is the y-intercept)

now that we know the value of b,

y = 4x - 11

Therefore, the equation of the line is: y = 4x - 11

Answer:

angle FDE+angle CDF=90° (given CDE=90°)

angle CDF=90-42

angle CDF=48°

Answer and Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

First, we should list all the information that is given to us.

Started at: 11:00 AM

Time spent shopping: 1 hour and 15 minutes

The spent in food court: 1 hour and 30 minutes

Time spent in video arcade: 2 hours

Now, all we have to do is add the times.

11:00 AM + 1 hour and 15 minutes = 12:15 PM

12:15 PM + 1 hour and 30 minutes = 1:45 PM

1:45 PM + 2 hours = 3:45 PM

So, Kathleen and Antonio left the mall at 3:45 pm.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

Answer:

i cant see it

Step-by-step explanation:

Answer:

It would take x = 72 minutes to drain the pool.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

As the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.

Thus,

As the water drains, the height of the water changes at a rate of -1/2 inch per minute.

Thus, using the equation

[tex]y = mx+b[/tex]

substituting m = -1/2 and b = 36

[tex]y\:=\:-\frac{1}{2}x+36[/tex]

We know that when the pool drains, the height of water reduces to zero.

Thus, substituting y = 0 in the equation

[tex]0=-\frac{1}{2}x+36[/tex]

switching sides

[tex]-\frac{1}{2}x+36=0[/tex]

subtract 36 from both sides

[tex]-\frac{1}{2}x+36-36=0-36[/tex]

[tex]-\frac{1}{2}x=-36[/tex]

Multiplying both sides by -2

[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]

[tex]x=72[/tex]

Therefore, it would take x = 72 minutes to drain the pool.

Answer:

Diana finshed playing volleyball at 8am

Step-by-step explanation:

So we know she started at 5:35 AM

And she hiked for an hour and 30 minutes

so 5:35+1 hour is 6:35

and 6:35+35 is 7:05

So before playing volley ball, the time is 7:05 am

Now volley ball was 55 minutes

so 7:05+55 is 8

So 8am

Answer:

She finish playing valleyball at 8:00 am

Step-by-step explanation:

Hike at 5:30 => 1h 30 min => 7:05

valleyball at 7:05 => 55 min => 8:00

Answer:

0.4156

Step-by-step explanation:

Given that:

Employer A:

8 pencils per minute

Probability of breaking a pencil = p(A) = 10%

Employer B:

5 pencils per minute

Probability of breaking a pencil = p(B) = 15%

Hence,

Probability of breaking a pencil:

P(breaking a pencil) = (P(A breaks pencil) * P(A)) + (p(B breaks pencil) * p(B))

P(A breaks pencil) = 0.1 * 8 = 0.8

P(B breaks pencil) = 0.15 * 5 = 0.75

P(breaking a pencil) = (0.8 * 0.1) + (0.75 * 0.15) = 0.1925

Hence, probability that a broken pencil was broken by employer A will be :

(P(A breaks pencil) * P(A)) / probability of breaking a pencil

= (0.8 * 0.1) / 0.1925

= 0.08 / 0.1925

= 0.4155844

= 0.4156

Answer:

a d f g

Step-by-step explanation:

Answer:

its abfg

Step-by-step explanation:

Answer:

They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.

Step-by-step explanation:

Let's first calculate the speed of each person using the units provided so that we  do not complicate the question.

speed =  distance covered/time taken

Andre's speed = 2 km/15 min = 0.133 km/min

Jada's speed = 3km/20 min = 0.15 km/min

Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.

Answer:

B)

divide a binomial by a trinomial

Step-by-step explanation:

As we know that the polynomials are very closed to the addition, subtraction and the multiplication but the same cannot be happen under the division as the division of two polynomials could not become a polynomial it is not necessary

Now if we divide the binomial from a trinomial so it would give a rational expression and contain a negative exponent and negative exponent is not allowed under the same

Therefore the option B is correct

Answer:

x= 6 answer is correct answer

Answer:

C. x=6

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Answer:

B

Step-by-step explanation:

Answer:

no they are not

Step-by-step explanation:

Step-by-step explanation:

Charlie bought 2 drinks and 1 box of candy

=> 2($3) + 1($x)

=> $(6 + x).

Answer: 37

Step-by-step explanation:

Answer:

a) Already correct

b) If x represents each one dollar increase in price, than prices that are increased by $16 and $28

c) $6

d) Maximum Revenue would be $2,420

e) x = -5 but it's extraneous

(if we were using imaginary numbers then it would be 5i)

Step-by-step explanation: