The Henderson family and the Ramirez family each used their sprinklers last summer. The water output rate for the Henderson family's sprinkler was 40 L per hour. The water output rate for the Ramirez family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 2125 L. How long was each sprinkler used?

Answers

Answer 1

Answer:

Henderson family spent 40 hrs, while Ramirez spent 15 hrs.

Step-by-step explanation:

Let t = time in hrs the Henderson family used their sprinkler

Let 55 - t = time in hrs the Ramirez family used their sprinkler.

40t+35*(55-t)=2125

40t+1925-35t=2125

calculcate this and you will get t=40.

then 55-40=15.

So, Henderson family spent 40 hrs, while Ramirez spent 15 hrs.


Related Questions

The ratio 4:5 is equivalent to
(i) 80%
(ii) 60%
(iii) 40%
(iv) 20%


If u ans i will give 40 points and mark brainlyest

Answers

Answer:

(i)

Step-by-step explanation:

express the ratio as a fraction, that is

4 : 5 = [tex]\frac{4}{5}[/tex]

to convert the fraction to a percentage multiply it by 100%

[tex]\frac{4}{5}[/tex] × 100% = 4 × 20% = 80%

Xaivier played video games for 1 hour and 45 minutes before he went to bed. If he went to bed at 9:00 pm,what time did he start playing video games

Answers

Answer:7:15 pm

Step-by-step explanation:

We know he went to bed at 9:00 PM and spent 1 hr and 45 minutes playing games. Start by subtracting one hour away, so we get 8:00 PM. subtract 45 minutes from that and he would have started playing at 7:15 PM.

Blake is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C C represent the total cost of renting the truck when the truck is driven m m miles. A graph of C C is shown below.

Answers

The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

Given the graph,

Let's say the equation which is representing the situation is

C = (Slope)m + d

Where d is y-intercept = 40

Slope = difference in y's coordinate / difference in x's coordinate

Slope = (70 - 55)/(10 - 5)

Slope = 15/5 = 3

So the equation would be ;

C = 3m + 40

Hence "The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles".

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Given question is the incomplete complete question in form of the image has been attached below;

Lizzy had #500, John has #50
FIFI will have #700.Who has more money amongst the three.

Answers

Answer:

John

Step-by-step explanation:

it says Lizzy had which means we don’t know how much she has now. It says Fifi will have so we don’t know how much they have right now. But it says John has so we know what he has so therefore he has the most as of right now

Find the unique solution to this system of equations. Give your answer as a point

Answers

Answer:

  (x, y, z) = (-4, -5, 2)

Step-by-step explanation:

You want the solution to the 3×3 system of equations ...

3x -y -4z = -15-4x -4y -z = 342x +3y +5z = -13

Tools

There are many tools available for solving a system of equations. A typical hand-held graphing calculator offers at least two methods. An online graphing calculator solution is shown in the attachment.

For the attached solution, we defined z in terms of x and y using the second equation. This effectively reduces the system to a 2×2 system, which is easily solved. The same "substitution" method can be used when solving the system by hand.

The graph shows the solution to be (x, y, z) = (-4, -5, 2).

Manual solution

Using z = -4x -4y -34 from the second equation, the system reduces to ...

  3x -y -4(-4x -4y -34) = -15

  19x +15y = -151

and

  2x +3y +5(-4x -4y -34) = -13

  -18x -17y = 157

Writing these equations in general form, we have ...

19x +15y +151 = 018x +17y +157 = 0

The "cross multiplication method" gives the solution for x and y as ...

  D = (19)(17) -(18)(15) = 53

  x = (15(157) -17(151))/D = -212/53 = -4

  y = (151(18) -157(19))/D = -265/53 = -5

Then z is ...

  z = -4(-4) -4(-5) -34 = 16 +20 -34 = 2

The solution is (x, y, z) = (-4, -5, 2).

__

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10.
An airplane has economy and first class seating.
There are s seats in each row in economy.
There are t seats in each row in first class.
There are 9 rows in first class and 24 rows in economy.
Write down an expression, in terms of s and t, for the number of seats on the
airplane.

Answers

The expression, in terms of s and t, for the number of seats on the airplane is given by 24 s + 9 t.

We are given that there are 2 types of seating in an airplane which are economy and first class seating.

Also,

We are given that:

There are s seats in economy in each row and there are t seats in first class in each row.

Now, there are 24 rows in economy class seating.

So, number of seats in economy class = 24 × s = 24 s

And, there are 9 rows in first class seating.

So, number of seats in first class = 9 × t = 9 t

The total number of seats then will be = 24 s + 9 t

Therefore the expression, in terms of s and t, for the number of seats on the airplane is given by 24 s + 9 t.

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All of my sides are the
same length. I have 4
right angles which
quadrilateral am I?

Answers

Answer:square

Step-by-step explanation: all right angles, all 90 degrees

PLEASE HELP ME FAST
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.

According to this data, what is wrong with the article's statement?

Answers

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

How to determine what is wrong with the data?

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Express 6 hours 28 minutes and 16 seconds in decimal form. Round your answer to two decimal places.

Answers

Answer: 6.47 hours

Step-by-step explanation:

First, you need to change your seconds into terms of minutes.

16 seconds / 60 s in a min = .266 min

Add that to your minutes:

28+.266 = 28.266 minutes


Now convert your minutes into hours

28.266 min/60 min in an hour=.47


Add that to your hours:

6+.47= 6.47 hours total

5(x+4) =1/2(12) (2X-6) STEPS TO SOLVE

Answers

hi

5(x+4) =1/2 *(12)* (2X-6)

5x+20 =  6 * ( 2x-6)

5x+20 = 12x-36

5x-12x = -36-20

-7x =  -56

  x = -56/-7

 x = 8

Find the slope of each line

Answers

Line r= 5/2
Line n= 5/2

Those 2 lines are parallel because they have same slope

Line m= 2/3
Line s= 2/3

Line m and s are parallel because they have same slope

Slope = rise/run

How do I find out the check amount before the tip when the total amount was $55 with a 10% tip

Answers

Answer:$49.50

Step-by-step explanation:

First you have to find what 10% of 55 is. So if you times 10% by 55 you come out with $5.5. So after that you must subtract 5.5 from 55 which comes out to $49.50.

draw a model to represent the following problem 12x6

Answers

Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples

Step-by-step explanation:

A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the rootn in terms of ×, the side length of the rug.

Answers

The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.

Here, we are given that the side of the length of the rug = x

Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.

This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)

Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)

Kindly refer to the diagram below for a better clarity of how we found out the sides.

Now, the area of a rectangle = Length × Breadth

Thus, area of the room = (x + 12) (x + 4)

= x^2 + 4x + 12x + 48

= x^2 + 16x + 48

Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48

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If you have the function f(x) = 5^x - 5 then find the value of f(t)

Answers

The value of the function is [tex]5^t-5[/tex] .

A function is defined as a expression containing one or more variables.

A function, in technical terms, is a mechanism to connect a collection of inputs to a set of outputs.

A function of a single variable (say x) is defined mathematically as g(x).

Let us consider a function of a variable x such that it is defined as:

g(x)=x+1

Here the output are calculated for all values of x . At x=1 the value of the function is denoted as g(1)=1+1=2.

Mathematically to calculate the value of the function f(x) for any particular value of x we substitute the value of x into the value of f(x).

Now the given function is given as:

[tex]f(x)=5^x-5[/tex]

Therefore at x=t,

[tex]f(t)=5^t-5[/tex]

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A flight averages 460 miles per hour. The return flight averages 500 mph because of a tailwind. The total flying time is 4 hours and 48 minutes. How long is each flight

Answers

The first flight is 2 hours and second flight is 2 hours and 48 minutes

The two distances are the same (out and back),

so set them equal.

That distance is cover by having one is (rate)(time) equal to other is (rate)(time).

Let,

One time is “x” and the other is “4.8-x.”

One average rate  is 460 per hour

and the other average rate is 500 per hour.

we know , Speed = [tex]\frac{distance}{time}[/tex]

so , distance = speed × time

put in this formula we get the value of X

⇒460 x = 500 (4.8 -x)

⇒460 x = 2400 - 500x

⇒900 x = 2400

⇒x = 2.5 hours for the slower plane.

⇒4.8- x = 2.3 hours for the faster plane.

The formula speed = distance ÷ time can be rearranged, just like any other equation.

Here detail explanation about relation between speed distance and time :

The formula can be rearranged in three ways:

speed = distance ÷ time

distance = speed × time

time = distance ÷ speed

To calculate one of the variables (speed, distance or time) we need the other two.

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Please help!
Simplify:

Answers

Step-by-step explanation:

[tex] = ( \frac{3}{5} {)}^{2} [/tex]

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

[tex] = \frac{9}{25} \\ [/tex]

☘️☘️☘️...

Answer:

[tex] \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] { ( \frac{3}{5} )}^{2} \\ = ( \frac{ {3}^{2} }{ {5}^{2} } ) \\ = \frac{9}{25} [/tex]

.............................
[tex]\frac{ {9}^{x + 1} - {3}^{2x} }{4 \times {3}^{2x - 1} } \\ [/tex]

ans : 6

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \cfrac{9 {}^{(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{3{}^{2(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{3{}^{(2x + 2)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]

here :

[tex]{ \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)} [/tex]

[tex]{ \sf {3}^{(2x)}=({3}^{(2x - 1)})\sdot (3¹)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{3{}^{(2x - 1)}(3 {}^{3} - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} } [/tex]

[ taking [tex]{ \sf {3}^{(2x - 1)} } [/tex]common here ]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{27 {}^{} - 3 {}^{}}{4 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cfrac{24{}^{} {}^{}}{4 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6[/tex]

Simplifiy the expression 1/2 cubed - 6 divide √64

Answers

Answer:

[tex]-\frac{47}{64}[/tex] or [tex]\frac{1}{2}^{3} -6/\sqrt{64}[/tex]

Step-by-step explanation:

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
Ok = -3
Ok = 1
Ok = 4
Ok=5
-8 -7
f(x)
-6 -5
y¹¹
-10
g(x)
4-
-3 -2 -1 0
-4-
-2
-3
-4
-5

Answers

Answer:

4

Step-by-step explanation:

g(x) is the graph of f(x) shifted up 4 units.

For the universal set, u= (5, 6, 7, 8, 9) , complete the parts below.
Write your answers in roster form or as .

Answers

Given the subset A, the complement of A, A' is  {6}

Given the complement of C, C is {5, 7, 9}

What are the answers in roster form?

The universal set contains all the elements of the subsets. '  means complement = it means elements that are not in the subset but in the universal set.

To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set are then separated by commas.

A' = {6}

C = {5, 7, 9}

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How many milliliters of a 28% sugar Solution do we need to mix with 75 milliliters of a 10% sugar solution so that the resulting mixture is a 13% sugar solution?

Answers

We need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

Let the amount of 28 % sugar solution be x ml.

We are given that:

10 % sugar solution = 75 ml

Total solution = 75 ml + x ml

We need the solution to be 13 % sugar solution.

So, we get that:

28 % x + 10 % ( 75 ) = 13 % ( 75 + x )

28 x + 750 = 13 ( 75 + x )

28 x + 750 = 975 + 13 x

28 x - 13 x = 975 - 750

15 x = 225

x = 225 / 15

x = 15

Therefore, we need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

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Simon bought bags of potting soil to plant flowers on his patio. A large bag contains of soil, a medium bag contains of soil, and a small bag contains of soil. If he buys one large bag, one medium bag, and two small bags of soil, how many pots can Simon fill?

Answers

Answer:

12

Step-by-step explanation:

Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=-2x^5+10x^3

Answers

Answer:

Step-by-step explanation:

45


8. How much energy does a 12 V battery in your car use to move 2.5 C through the electrical
circuit?

Answers

The energy required is 30 watts second.

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or eliminated.

The voltage of a battery is 12 V and;

The charge is 2.5C.

Now, energy can be defined as the product of voltage and charge.

Therefore,

E = V × C

E = 12 × 2.5

E = 30 watt second

Hence, the energy needed by the 12 V battery to move 2.5 C through the electrical circuit is 30 watts second.

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Please help me I need this fast in class
Will give brainlest for help!
I got half the question solved I need help with other half please

Answers

Answer: y=-37/2

Step-by-step explanation:

y=9x/8 + (-1/2)

y=9x/8 - 1/2

y=9(-16)/8 - 1/2

y=9*(-2) - 1/2

y=-18 - 1/2

y=-(18 + 1/2)

y=-(18 + 1/2)*2/2

y=-(36 + 1)/2

y=-37/2

Tucker ran five 3/8 miles on Monday and three 3/4 miles on Tuesday how far did you run on both days

Answers

Answer:

9/8 mile or 1 and 1/8 mile

Step-by-step explanation:

Add 3/8 + 3/4

LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)

Evaluate 2^x+5 when x=4

Answers

Answer:

=21

Step-by-step explanation:

2^4 equals 16, add 5 and its 21

2x2x2x2

\/

4x2x2

\/

8x2=16

Step-by-step explanation:

f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?

f(x) = 2^x + 5 , x = 4

f(4) = 2⁴ + 5

= 16 + 5

= 21

f(x) = 2^(x + 5) , x = 4

f(4) = 2^(4 + 5)

= 2⁹

= 512


According to a recent study, the number of prisoners in a prison decreased by 312 inmates over a one-year period. If the decrease was the
same for each of the 12 months, write the monthly decrease as a quotient of integers and find the monthly decrease.
The expression to find the monthly decrease in prisoners is.
(Do not simplify.)
The number of inmates in the prison decreased by inmates per month.
(Simplify your answer.)

Answers

Over a year, a prison's population dropped by 312 inmates. We know that 1 Year = 12 Months.

Additionally, considering that each of the 12 months declined at the same rate.

the Monthly decrease  in members = 312 / 12 = 26

Therefore, the expression used to calculate the monthly drop in prisoner population = Number of prisoners decreased per year / Number of months

Note: If the monthly drop rate is the same, the aforementioned equation is correct ( for all months in that year)

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Which expression is equivalent to the given expression?

​2n−6​


A −2(n−3)


​ B 6−2n ​


​C −4n ​


D 2(n−3)

Answers

your ANSWER Is d 2n will just be 2n now x 2n by -3 which will get you -6

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