During a period of time a reservoir is drained for 2 hours per day 3 times per week. Each time 12 gallons per minute are drained. What integer represents the change in the number of gallons drained from the reservoir each week?

Answers

Answer 1

Answer:

The integer representing the change is -43,200 gallons

Step-by-step explanation:

Here, we want to get the integer that represents the change in the number of gallons drained from the reservoir each week

Total number of hours per week would be 2 * 3 = 6 hours ;

6 hours is same as 6 * 60 = 3600 minutes

in a minute 12 gallons are drained

In 3600 minutes, the number of gallons drained would be;

3600 * 12 = 43,200 gallons are drained


Related Questions

Please help me solve this answer.

Answers

Answer:

1 hour 2 min 20 sec

Step-by-step explanation:

Given

6 min video ⇒ 17 min upload

Upload time of 1 min video

1 min video ⇒ 17/6 min upload

Time to upload of 22 min video

22 min video ⇒ 22*17/6 = 62 1/3 min = 1 hour 2 min 20 sec upload

solve for x . Please help !

Answers

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

[tex]x^2 + y^2 = h^2[/tex]

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

[tex]x^2 = h^2 - y^2[/tex]

[tex]x=\sqrt{h^2 - y^2}[/tex]

Then plug in the values:

[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]

Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?

Answers

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

What is the value of a if a is equal to a×a×a=a+a+a

Answers

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

Answer:

nope its not equal

a×a×a=a³, but a+a+a=3a

so, a³≠3a

Step-by-step explanation:

i hope this helps....can i have brainliest

MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!

A chrome book cost 249.99 at target on Black Friday it is on sale for 15 % off what is the price of the computer on Black Friday

Answers

Answer:

The price is 212.49

Step-by-step explanation:

sorry if wrong.

Ahmed is saving his money to buy a IPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed ro have enough momey to buy the Ipad? Answer Choices: A: 2 weeks, B: 3 weeks, C: 4 weeks or D: 5 weeks

Answers

Answer:

5

Step-by-step explanation:

Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?

Answers

Answer:

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning

Answers

I am thinking 3.5 pounds

Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.

Step-by-step explanation:

please solve for x
x+19=-9

Answers

Answer:

x=-28

Step-by-step explanation:

Answer:

x=-28

Step-by-step explanation:

please help asap!! Find the base

Answers

You collect the “like terms” and simplify which would bring you down to 1789b which is equivalent to 1345b. Then you move the “variable” to the “left-hand” side and change its sign which would give you 1789b-1345b=0. Then again collect the “like terms” which would bring you 444b=0. Then you divide the both sides of the equation by 444 and it would mean b=0. So your answer is b=0

Options are line ED, line EH or line CD

Answers

Answer:

ED and CF are paralell to eachother

Write the equation in standard form: -2 (x - 5) = 3y *
0 -2x + 10x = 3y
O y = -2/3x + 10/3
0 -3y - 2x = -10
0 -3-27 = 10

Answers

Answer:

In think is the first one

Answer: 3rd option

Explanation:

-2(x - 5) = 3y
-2x + 10 = 3y
-2x - 3y = -10
Or -3y - 2x = -10

And this is the standard form

A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?

Answers

Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years

Answers

Answer:

The formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Step-by-step explanation:

We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

here

f(t) represents the final amount

a represents the original amount

b represents the decay factor

t represents the amount that has passed

Now, map our problem using the same concept formula

as

2150 members are at the beginning, so

a = 2150  

as the size of the population has been experiencing an annual decline of 3.8%. so

b = 3.8%= 0.038

so substituting b = 0.038 and a = 2150  

[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]

Therefore, the formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Pls help really fast I don't know this!!!!!

Answers

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

please, someone help me

Answers

Answer:

the equation of the parabola in vertex form is y=3(x+2[tex])^{2}[/tex]-4

Step-by-step explanation:

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.

Answers

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Kelsey painted one-fourth of her bedroom in three-sevenths of an hour. At this rate, how long would it take her to paint the entire room?
A 3/28 of an hour
B 28/3 of an hour
C 12/7 of an hour
D 7/12 of an hour

Answers

12 Over seven of an hour

The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?

A. 5/12
B. -12/13
C. -5/12
D. 12/13

Answers

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

#SPJ2

The rectangle shown

Answers

The answer is C- 20

a^2 + b^2=c^2


Please help me I am in a hurry to go somewhere so please help quick

Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35


Please select the best answer from the choices provided

sorry about the answer choices being mixed up im still in a hurry

Answers

Answer:

I'm so sorry I don't know this answer but good luck

Answer: since it doesn't tell you how you get it.

Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are

21, 35, 35.

So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...

The median is 35.

I need help with this​

Answers

Step-by-step explanation:

income income earned working 5 hours is $50

She’ll earn $50 in 5 hours

Translate the inequality and solve. Three times a number is less than or equal to six.​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6

Answers

4. 2/x + 3/y = 6 is not a linear equation!:)

The air pressure P is inversely proportional to the altitude h. write the related variation equation

Answers

Step-by-step explanation:

P * h = k, where k is a real constant.

(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help

Answers

It is a function because the x doesn’t repeat

Name the property that the statement illustrates.

Answers

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].

In terms of general equivalence relations,

The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

The table below compares a number of shirts bought at a store to the cost of the shirts
4
Number of Shirts
Cost In Dollars
1
1 x 10
2
2 x 10
3
3 x 10
4 x 10
a. Write an expression that represents the cost of s number of shirts,

Answers

Answer:

doom

Step-by-step explanation:

Which statement about proteins is TRUE?
A) You cannot consume complete proteins if you eat a vegetarian diet.
B) Animal products like meat and dairy provide complete proteins.
C) Beans provide all the amino acids the body needs.
D) During digestion, your body combines proteins to make amino acids.

Answers

Answer:

The answer is

A.) Animal products like meat and dairy provide complete proteins.

Hope this helps! Have a great day :)

Step-by-step explanation:

the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST

Answers

Answer:

[tex]y = \frac{2}{3}x - 6[/tex].

Step-by-step explanation:

(3 , -4)  ;  slope(m) = 2/3

y - y1 = m (x -x1)

[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]

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