The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?

Answers

Answer 1

Answer:

Hayes family: 35 hoursRodrigues family: 40 hours

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

  15x +30y = 1725 . . . . . total liters of use

  x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

  y = 75 -x

This can be substituted into the first equation to give ...

  15x +30(75 -x) = 1725

  -15x + 2250 = 1725 . . . . . . simplify

  -15x = -525 . . . . . . . . . . . subtract 2250

  x = 35 . . . . . . . . . . . . . . divide by -15

  y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

The Hayes Family And The Rodrigues Family Use Their Sprinklers Last Summer. The Water Output Rate For

Related Questions

How do we graph ​y+6=45(x+3)?

Answers

Answer:

.....,....................

Help help help help math math

Answers

Answer:

<4 = 67 degrees

Step-by-step explanation:

Find <3

30+37+x=180

subtract 37 and 30

x = 180 - 30 - 37

x = 150 - 37

x= 113

Find <4

180 - 113

67

67 degrees im not completely sure tho but this is probably the answer

Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help

Answers

Answer:

y = 10; x = -2

Step-by-step explanation:

Because both are equal to y, you can set them equal to each other.

-9x - 8 = -6x - 2

- 6 = 3x

x = -2

y = -9(-2) - 8 = 10

Help help help help math math

Answers

A straight Angel = 180° so if you know one side of it which is given as 72° then that would be 180-72= 108° for angle 4

How does the value of 2 dimes compare to the value of 2 dollars

Answers

Answer:

The 2 dollars has $1.80 more than the two dimes.

Step-by-step explanation:

2.00-0.20=1.80

Giving brainilest! Find the measures

Answers

Answer:

the answers are <1 = 118°, <2 = 62°

Answer:

∠ 1 = 118° , ∠ 2 = 62°

Step-by-step explanation:

∠ 1 and 118° are corresponding angles and are congruent, then

∠ 1 = 118°

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°

∠ 2 + 118° = 180° ( subtract 118° from both sides )

∠ 2 = 62°

What are the coordinates of the focus of the conic section shown below?

x^2+6x-4y+5=0

Answers

Be breve bebe be hehe

Answer:

The coordinates of the focus are [tex](-3,0)[/tex]

Step-by-step explanation:

The general equation for any conic section is [tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex] where [tex]A[/tex], [tex]B[/tex], [tex]C[/tex], [tex]D[/tex], [tex]E[/tex], and [tex]F[/tex] are constantsIf [tex]B^2-4AC<0[/tex], the conic section is either a circle or ellipseIf [tex]B^2-4AC=0[/tex], the conic section is a parabolaIf [tex]B^2-4AC>0[/tex], the conic section is a hyperbola

Since [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.

The standard form equation for a parabola is [tex](x-h)^2=4p(y-k)[/tex]Vertex is [tex](h,k)[/tex]Focus is [tex](h,k+p)[/tex]Directrix is [tex]y=k-p[/tex]Vertical axis is at the line [tex]x=h[/tex][tex]p\neq 0[/tex]

Convert general form into standard form by completing the square:

[tex]x^2+6x-4y+5=0[/tex]

[tex]x^2+6x+5=4y[/tex]

[tex]x^2+6x+9=4y+4[/tex]

[tex](x+3)^2=4(y+1)[/tex]

Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].

In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].

Solve for S
Please help me

Answers

Answer:

s = 19°

Step-by-step explanation:

opposite angles = equal angles

so

106 = 6s - 8

114 = 6s

s = 114 : 6

s = 19°

--------------- check

106 = 6 * 19 - 8

106 = 106

the answer is good

What is the solution to the system of equations?
{2x + 3y = 6
x+y=1

Answers

Answer: {x,y} = {-3,-4}

Step-by-step explanation:

A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?

Answers

Answer:

2/11

Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11

Step-by-step explanation: have a good day

Help me please (I need write more something in order to I can submit answer)​

Answers

Answer:

The answer is 4

Step-by-step explanation:

(-2.4)(10) / -3(2)

-24/-6

=4

Answer:

The answer will be 4! Hope this helps

Camden has a loyalty card good for a 17% discount at his local hardware store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax, in one step?

Answers

Answer:

0.83

Step-by-step explanation:

Let the price is x.

With 17% discount it becomes:

x - 17% of x =x - 0.17x = 0.83x

The number we need is 0.83

Solution,

Assume That The Price is x

When Will Put It in Equation,

[tex] \frak{ \bigstar}{ \rm{ {We \: Will \: Get,}}}[/tex]

[tex]{ \longmapsto{ \sf{x-17 \% \: of x =}}}[/tex][tex]{ \longmapsto { \sf{x-0.17x}}}[/tex]0.83

Hence, Required Price is 0.83

Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}

Answers

x = 4.5 x = .5
Step-by-step explanation:
|2x - 5| = 4
The absolute value has two solutions one positive and one negative
2x-5 = 4 2x-5 = -4
Add 5 on each side
2x-5+5 = 4+5 2x-5+5 = -4+5
2x = 9 2x =1
Divide by 2
2x/2 =9/2 2x/2 = 1/2
x = 4.5 x = .5

Desmond has 169 square bricks that he is arranging in a row to make a patio. Every row must have to have the same number of bricks. How many bricks are in each row? Describe the shape of the patio

Answers

The answer is 13 because 13 multiplied by 13 is 169, the patio is a square shape with 4 equal sides and 4 vertices

LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)

Answers

Answer:

See explanation

Step-by-step explanation:

Dilation of 4

G (0, 1) G' (0, 4)

F (1, 1) F' (4, 4)

Gx'/Gx = 0 / 0 = 0

Gy' / Gy = 4 / 1 = 4

Fx' / Fx = 4 / 1 = 4

Fy' / Fy = 4 / 1 = 4

The Falcons had 3 fewer than twice as many Bears players. If the Falcons had 11 players, how many players were on the Bears?

Answers

Subtraction, 11-3 is 8
Ps:trick question

I NEED HELP PLEASE AGAIN LAST THREE FOR THE NIGHT

Answers

Answer

First one is A

Second one is B

Third one is D

Problem 1

Answer: Choice A

(30, 225); Rocket reaches max height of 225 ft after 30 seconds.

-------------------

Explanation:

Distribute the 0.25 through to get

y = 0.25(60x-x^2)

y = 15x - 0.25x^2

y = -0.25x^2 + 15x

This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.

The first two values mentioned lead to this x coordinate of the vertex.

h = -b/(2a)

h = -15/(2*(-0.25))

h = -15/(-0.5)

h = 30

This tells us the answer is between A and C.

If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.

===========================================================

Problem 2

Answer:  Choice B

(x-3)^2 = -8(y-6)

-------------------

Explanation:

vertex = base of the bulb = (3,6)

focus = top of the bulb = (3,4)

This flashlight is pointed downward, which forms a downward opening parabola.

The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.

We'll plug that in along with the vertex (h,k) = (3,6) in the formula below

4p(y-k) = (x-h)^2

4*2(y-6) = (x-3)^2

8(y-6) = (x-3)^2

Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.

===========================================================

Problem 3

Answer:  D) square

-------------------

Explanation:

We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.

We can also form a line. To do so, we intersect the plane at exactly  along the edge of the cone. Make the plane tangent to the cone.

Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.

Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.

Which equation demonstrates the multiplicative identity property?

(-3+5i)+0--3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i) =-16-30i
(-3+5i)(3-5i) = 16+30i

Answers

Answer:

C (-3 + 5i) (-3 + 5i) = -16-30i

Step-by-step explanation:

EDGENUNITY

What is the simplest form of

Answers

Answer:

B

Step-by-step explanation:

Determine the slope from the given graph below:

A ⇹ The slope is -7
B ⇹ The slope is−16
C ⇹ The slope is 6
D ⇹ The slope is -6

Answers

Step-by-step explanation:

the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

(-1, -1) and (0, -7)

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

Please help ASAP!!! Will give 10 pts!!​

Answers

A. Mixed
B. Proper
C. Mixed
D. Proper
E. Improper
F. Improper
G. Improper
H. Mixed
I. Improper
J. Improper
K. Mixed
L. Mixed
M. Proper
N. Proper
O. Mixed

Lumber pieces that are 1 1/2 inches thick are being piled in the bed of a truck. The bed rests at a height of 36 inches and the crew has been instructed to make sure the height of the pieces above the ground does not exceed 7 feet. What is the greatest number of pieces of lumber that can be placed in a stack ? can someone please answer <33

Answers

Answer:

Step-by-step explanation:

36 inches  = 3 ft

max height of lumber stack is 7 - 3 = 4 ft.

4 ft = 48 inches

48 inch / 1.5 inch/board = 32 boards

I know you’re supposed to change the bounds and break up the integral, but for some reason, I can’t get the 44/3. Can someone explain how to solve this definite integral?

Answers

First, look for the zeroes of the integrand in the interval [0, 6] :

x² - 6x + 8 = (x - 4) (x - 2) = 0   ⇒   x = 2   and   x = 4

Next, split up [0, 6] into sub-intervals starting at the zeroes we found. Then check the sign of x² - 6x + 8 for some test points in each sub-interval.

• For x in (0, 2), take x = 1. Then

x² - 6x + 8 = 1² - 6•1 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

• For x in (2, 4), take x = 3. Then

x² - 6x + 8 = 3² - 6•3 + 8 = -1 < 0

so x² - 6x + 8 < 0 over this sub-interval.

• For x in (4, 6), take x = 5. Then

x² - 6x + 8 = 5² - 6•5 + 8 = 3 > 0

so x² - 6x + 8 > 0 over this sub-interval.

Next, recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{for }x \ge0 \\ -x & \text{for }x < 0\end{cases}[/tex]

Then from our previous analysis, this definition tells us that

[tex]|x^2 - 6x + 8| = \begin{cases}x^2 - 6x + 8 & \text{for }0<x<2 \text{ or } 4<x<6 \\ - (x^2-6x+8) & \text{for }2<x<4\end{cases}[/tex]

So, in the integral, we have

[tex]\displaystyle \int_0^6 |x^2-6x+8| \, dx = \left\{\int_0^2 - \int_2^4 + \int_4^6\right\} (x^2 - 6x + 8) \, dx[/tex]

Then

[tex]\displaystyle \int_0^2 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_0^2 = \frac{20}3 - 0 = \frac{20}3[/tex]

[tex]\displaystyle \int_2^4 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_2^4 = \frac{16}3 - \frac{20}3 = -\frac43[/tex]

[tex]\displaystyle \int_4^6 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_4^6 = 12 - \frac{16}3 = \frac{20}3[/tex]

and the overall integral would be

20/3 - (-4/3) + 20/3 = 44/3

Angles A,D and G are congruent, and angles c, f and j are congruent. What is the mesure of angle E?​

Answers

Answer:

60

Step-by-step explanation:

Since the angles A, D, and G are congruent then sum of given angles is eaqual to 180 degrees

x + 20 + 2x + x  = 180 add like terms

4x + 20 = 180 subtract 20 from both sides

4x = 160 divide both sides by 4

x = 40

Angles B, E, and H are congruent so E is also  = x + 20 and x = 40 so angle E = 60

Find the value of x! GIVING BRAINILEST

Answers

Answer:

the value of x must be 71°

Step-by-step explanation:

180° - (38° + 33°) = 109°

x = 180° - 109°

x = 71°

Answer:

x = 71

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 38 + 33 = 71

-6x+6y=9 (1/2,2) please helppppp

Answers

Answer:

Not a solution.

Step-by-step explanation:

[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]

The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.

HELPPP!! DUE NOWWWW!

Lucy recently joined a fitness club, she had to pay an initial fee to join. Lucy will also pay an extra fee per class she takes there. The equation below represents the relationship.


f(x)=20+3x


Identify the false statement


A. Lucy paid $3 per class.

B. f(x) represents the total amount Lucy paid.

C. x represents the cost of classes.

D. The initial fee was $20

Answers

Answer: C

Step-by-step explanation: x represents the number of classes, not the cost of classes.

A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

49%.

Step-by-step explanation:

2205      100        220500

........... x ..........  =  ..................  = 49 (49%).

4500        1              4500

The theater filled up with 49% of seats with 6th grade students.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a middle school that took all of its 6th grade students on a field trip to see a symphony at a theater that has 4500 seats. The students filled 2205 of the seats in the theater.

Assume that the theater filled up [x]% of seats at the theater. Then, we can write -

[x]% = (2205/4500) x 100

[x]% = 0.49 x 100

[x]% = 49%

Therefore, the theater filled up with 49% of seats with 6th grade students.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

I NEED HELP! The surface area of a triangle is base times height. True or False?

Answers

the answer to that question should be true

Answer:

true

Step-by-step explanation:

i learned this in like 7th grade

Expression 26-(-17)can be rewritten as

Answers

Hey there!

The expression 26-(-17) can be rewritten as

26+17

Remember:

a-(-b)=a+b

Hope it helps. Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who is preparing for the New Year's Day

Good luck. :-)

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