The Wright family and the James family each used their sprinklers last summer. The water output rate for the Wright family's sprinkler was 40 L per hour. The
water output rate for the James family's sprinkler was 20 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total
water output of 1300 L. How long was each sprinkler used?

Answer:

Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

Step-by-step explanation:

Answer: dude above me copied

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Answer:

CE = 3.5

Step-by-step explanation:

10 = 5

25 = x

x = 12.5 perimeter of DCE

4+5+x=12.5

x = 3.5

Answer:

100

Step-by-step explanation:

30-28=100 if u round it to thr nearest hundreth because

30 2-2=0

- 18-8=10

-28

10 rounded to tye nearest hunderth is 100

Step-by-step explanation:

57+90+x=180

147+x=180

x=33

<4= 33°

Answer:

Draw the perpendicular bisector of each line of each line.

Step-by-step explanation:

Because this is a right triangle, the circumcenter will always be located at the midpoint of the hgypotenuse.   Locate those coordinates and you have the circumcenter.

Answer:

it is c

Step-by-step explanation:

Answer: 8 8/9

Step-by-step explanation:

From the question, we are informed that Mark was remodeling his house and that he took 26 2/3 square feet from 3 different rooms.

The average change in square footage per room will be calculated as:

= 26 2/3 ÷ 3

= 80/3 × 1/3

= 80/9

= 8 8/9

Therefore, the answer is D.

Answer:

3 1/2

Step-by-step explanation:

10-6 1/2

20/2 -6 1/2

20/2- 13/2= 7/2

7/2= 3 1/2

Answer:

[tex]\frac{20}{2\\} \\[/tex] - [tex]\frac{13}{2}[/tex] = [tex]\frac{7}{2}[/tex]  or 3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

make the denominator the same.

so

10*2= 10 so

[tex]\frac{20}{2\\} \\[/tex]

then 6*2= 12+1= 13 so

[tex]\frac{13}{2}[/tex]

20-13= 7

so now

[tex]\frac{7}{2}[/tex]  which is equal to 3[tex]\frac{1}{2}[/tex]

Hope this helps! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧\

Have a nice day!! ( ﾟдﾟ)つ Bye

Answer:

296 miles

Step-by-step explanation:

4 hours=240 minutes

240/30=8

37*8=296

Answer:

Joe travels 296 miles in 4 hours.

Step-by-step explanation:

How many minutes in an hour? 60.

How many minutes in 4 hours then? 60 * 4 = 240 minutes

Now take 240 minutes and divide it by 30. You get 8, this is what you need to multiply 37 by.

37 * 8 = 296.

Therefore, Joe travels 296 miles in 4 hours.

Answer:

in quadratic formula my answer came out to -2±2√7/3

Step-by-step explanation:

Answer:

12+20=32

32/2=16

20-16=4

Vertex x-int is 4.

Step-by-step explanation:

Answer:

Bet

Step-by-step explanation:

Answer:

Your on

Step-by-step explanation:

Does someone have a fennec in rocket league and someone who can trade it on switch?

9514 1404 393

Answer:

  D.  2,787.64 yd​

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²·h

The radius (r) is half the diameter, so is (22 yd)/2 = 11 yd. Putting the given values into the formula, we have ...

  V = (1/3)π(11 yd)²(22 yd) = 887.333π yd³ ≈ 2787.64 yd³ . . . . matches D

Answer:

Step-by-step explanation:

Here we need to write the equations that passes through the point (4 , 3) and is parallel to the given line and perpendicular to it. So lets get started,

a)

First we calculate the slope of the given line by using any two points on the given line by the help of the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

we take the points (1 , 6) and (2 , 2) i chose these two you can choose any other two doesn't matter so now we calculate the slope,

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-6}{2-1}\\\\m=\frac{-4}{1}\\\\m=-4[/tex]

now since our slope is -4 and the line is parallel to the given line so the line that we need in part a would also have the same slope by the law parallel lines have same slope/gradient.

[tex]m_1=m_2[/tex]

so the slope/gradient of our new line that we need which passes through the point (4,3) is -4

Now using the point slope form formula:

[tex]y-y_1=m(x-x_1)[/tex]

we have our point (4,3) which corresponds to [tex](x_1,y_1)[/tex] and m which corresponds to -4 , so now

[tex]y-y_1=m(x-x_1)\\y-3=-4(x-4)\\y-3=-4x+16\\y=-4x+19[/tex]

sow our new line in part a is

[tex]y=-4x+19[/tex]

b)

In this part we need a line that is perpendicular to the given line which means we use the formula to calculate the slope of the perpendicular line which is:

[tex]m_1m_2=-1[/tex]

where [tex]m_1=-4[/tex] the slope of our given line so the slope of the perpendicular line is,

[tex]m_1m_2=-1\\-4m_2=-1\\\\m_2=\frac{1}{4}[/tex]

so using the point (4,3) and the new slope 1/4 we find the equation of the perpendicular line again by using the point-slope form formula:

[tex]y-y_1=m(x-x_1)\\y-3=\frac{1}{4}(x-4)\\\\4y-12=x-4 \\4y=x+8\\\\y=\frac{x+8}{4}\\\\y=\frac{x}{4}+2[/tex]

I have attached of the graphs as well you can check it out for better understanding.

Answer:

the solution is (3,-5)

Step-by-step explanation:

Graph the points then get the solution

Answer:

the answer(2, -5)

Step-by-step explanation:

hope i helped u

Answer:

17 - (2 / x)

Step-by-step explanation:

because it is being subtracted from 17. that goes first, and then x is being divided by 2.

Hope this helps!

Answer:

17 - (2 / x)

Step-by-step explanation:

i just did it and got a 100%

rate = (4438/124,600) * 100

= 3.6 percent

Answer:

x=-3

Step-by-step explanation:

[tex]\sqrt{x+7}-x=5\\\sqrt{x+7}=5+x\\x+7=x^2+10x+25\\x^2+9x-18=0\\(x+3)(x+6)=0\\x=-3, x=-6\\\sqrt{-3+7}-(-3)=5\\\sqrt{-6+7}-(-6)=7=5[/tex]

x=-6 is extraneous because 7 does not equal to 5

x=-3 is the answer because 5=5

Answer:

It is 4

Step-by-step explanation:

Answer:

c) third quadrant

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the quadrants are labeled left to right. Comment if u have any questions :)

Answer:

at -6

Step-by-step explanation:

hope that help

Answer:

3.5

Step-by-step explanation:

Answer:

I think itis 3.5 please mark brainlest if I am right

Step-by-step explanation:

Answer:

5/12, 4 1/4, 4 2/3

Step-by-step explanation:

Change your fractions so they all have a common denominator.

A common denominator is 12, so 5/12 stays as is, 4 1/4 changes to 4 3/12,

and 4 2/3 changes to 4 8/12.

So,      5/12 = 5/12

      4 1/4.     = 4 3/12

       4 2/3     = 4 8/12

Answer:

ABC Def is ure perfect answer

To prove these triangles are congruent using SAS is ∠ ABC ≅ ∠ DEF. Hence, option D is correct.

When two lines converge at a point, they produce an angle. The word "angle" refers to the length of the "gap" between these two rays. The symbol is used to denote it.

Radians, a unit of roundness or rotation, and degrees are the 2 most common units used to measure angles. In daily life, angles are present.

As per the side angle side rule, the correct way to prove that the triangles are congruent is ∠ ABC ≅ ∠ DEF. Therefore, option D is correct.

To know more about an angle:

https://brainly.com/question/28451077

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Answer:

The answer is 2:1

Step-by-step explanation:

Hope that helps. :)

Can you mark me brainliest

Step-by-step explanation:

Note that t = d/r where t is time, d is distance, and r is rate/speed.

We can come up with two equations with the information given and the equation:

t_1 hr = (10 km)/(x km/hr)

t_2 hr = (12 km)/(x - 1 km/hr)

where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.

We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:

t_1 = t_2 - 1/2

Substituting the values we derived:

(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2

Then we can evaluate by multiplying by 2x(x-1) on both sides:

20(x-1) = 24x - (x)(x-1)

20x - 20 = 24x - x^2 + x

x^2 -5x -20 = 0

And we are done.

I hope this helps! :)

An equation is formed when two equal expressions. The equation for the time can be written as (12/x-1)-(10/x)=0.5. The value of x is 7.623.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Given Alfonso runs 10 km at an average speed of x km/h. Therefore, the time taken by Alfonso to rum 10km is 10/x hour.

Also, The next day he runs 12 km at an average speed of (x - 1) km/h. Therefore, the time taken by Alsonso to run 12km is 12/(x-1) hour.

Now, the time taken for the 10km run in 30minutes(0.5 hours) is less than the time taken for the 12 km run. Therefore, we can write,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5[/tex]

The equation for the time can be written as (12/x-1)-(10/x)=0.5.

B.) The value of x can be written as,

[tex]\dfrac{12}{(x-1)}-\dfrac{10}{x} =0.5\\\\12x-10(x-1)=0.5 \times x \times (x-1)\\\\12x - 10x +10 = 0.5x^2-0.5x\\\\2x+10 = 0.5x^2-0.5x\\\\0=0.5x^2 - 2.5x -10\\\\x = -2.623, 7.623[/tex]

Since the time can not be negative. Hence, the value of x is 7.623.

Learn more about Equation:

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Answer:

Step-by-step explanation:

Equation for this case is:

⇒ y = 6(x - 1) + 10     as Rs. 10 for the first km and Rs. 6 for the rest (x - 1) km

⇒ y = 6x - 6 + 10      simplifying

⇒ y = 6x + 4             final equation

For x = 15 km we have total of: