This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
b. Name all three angles
listed in the figure below:
C. Solve for X
A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the event that the sum of the numbers falling uppermost is 5. Determine whether Eand Fare independent events.Show your calculationsby describing the sample space, theeventsE and F, and combinations of these events as needed.
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]
Next, we list out the sample space of F
[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]
[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
In (1): the sample space of E is:
[tex]E = \{1\}[/tex]
So:
[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]
[tex]P(E) = \frac{1}{6}[/tex]
In (2): the sample space of F is:
[tex]F = \{5,5,5,5\}[/tex]
So:
[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]
[tex]P(F) =\frac{4}{36}[/tex]
[tex]P(F) =\frac{1}{9}[/tex]
For E and F to be independent:
[tex]P(E\ and\ F) = P(E) * P(F)[/tex]
Substitute values for P(E) and P(F)
This gives:
[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]
[tex]P(E\ and\ F) = \frac{1}{54}[/tex]
However, the actual value of P(E and F) is 0.
This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:
So:
[tex]P(E\ and\ F) = 0[/tex]
Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].
These values are not equal.
Hence: the two events are not independent
Determine if a triangle can have the given side lengths. If yes, which type of triangle is formed by the side lengths. Choose the correct answer for both rows of the table. HELP GODDD PLZ PLZ PLZ HELP
Answer:
B and H.
Step-by-step explanation:
By the triangle inequality, any two sides of a triangle must be greater than the remaining side.
Triangle 1)
The side lengths are 9, 40, and 41.
We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.
Remember that if:
[tex]c^2=a^2+b^2[/tex]
We have a right triangle.
[tex]c^2>a^2+b^2[/tex]
We have an obtuse triangle.
And if:
[tex]c^2<a^2+b^2[/tex]
We have an acute triangle.
In all of these, c is the longest side.
Therefore, we will substitute 41 for c and 9 and 40 for the others:
[tex]41^2\text{ }?\text{ }40^2+9^2[/tex]
Evaluate:
[tex]1681=1681[/tex]
Since the two values are equivalent, the first triangle is a right triangle.
Triangle 2)
Again, adding up the two smaller sides gives that 8 + 10 = 18.
However, 18 is less than 21, so it does not satisfy the triangle inequality.
Therefore, the given side lengths cannot form a triangle.
A fitness club charges its members a one-time fee of $40 and a monthly rate of $25. Let m represent the number of months. Write an expression for the total amount paid after m months. Then find how much a customer will have paid after 5 months. 6.EE 2, 6.EE 2a, 6.EE.6 Expression: Cost:
Answer:
40 + 25m
40 + 25(5) = $165 after 5 months
Step-by-step explanation:
40 + 25m
40 + 25(5) = $165
Margarita's gross paycheck last week was $204.75 from working 21 hours. What is her hourly pay rate?
Answer:
$9.75
Step-by-step explanation:
This problem requires division. All factors are already provided in the problem, so all you have to do to solve this is divide 204.75/21, and get your answer! Hope this helps :)
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
Estimate the area of a rectangle with length 5/8 foot and a width of 4/9 foot.
Hello there!
Area = Length * Width
Area = [tex]\frac{5}{8} * \frac{4}{9}[/tex]
Area = [tex]\frac{5}{18}[/tex]
Thanks!
~Garebear
I am having an issue in figuring out how the answer is 247,700.
Answer:
its 1,108,582
Step-by-step explanation:
u add them to get how much it fits
!!HELPPP ME AND MY FRIENDD!!
Answer:
1 and 3
Step-by-step explanation:
Answer:
B . <3 <7
I had the sam test and got a 100
please mark brainliest
Step-by-step explanation:
for every 5 green apples there are 2 red apples what is the raito
Answer:
5:2
Step-by-step explanation:
A class of 50 students is divided into two groups. One group has 8 more students than the
other. How many students are in each group?
$76 nor week plus S16 for each sale
Answer:
Step-by-step explanation:
What is the value of "2 + 3x" if x = ½? *
Answer:
3.5 or 3 1/2
Step-by-step explanation:
2 + (3*1/2) = 3.5, which is equal to 3 1/2.
Answer:
Mixed fraction: 3 1/2
Improper fraction: 7/2
Step-by-step explanation:
2+3/2
1 1/2+2= 3 1/2
POINTS PLZ HELP
A baker determined the annual profit in dollars from selling pies using p n( ) = 52n − 0.05n2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?
F $20,780
G $12,800
H $28,800
J $20,760
Answer:
G
Step-by-step explanation:
Answer:$12,800
Step-by-step explanation:
Add 400 to every n in the equation, I’ll be using y for the “p(n)” part cus it always confuses me like that.
Y=52(400)-0.05 x 400^2
=20,800 - 0.05 x 160,000
=20,800 - 8,000
=12,800
What is the volume of this figure need help asap!!!
Answer:
312
Step-by-step explanation:
We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.
Answer:
Volume of the figure= 312 yd²
Step-by-step explanation:
Okay let's split this figure up into two different rectangles. Let's draw the line at the part of the rectangle that is nearest us (looking at the picture). The little part where it says 6 yd. and 4 yd.
We know volume is V= lwh
Start with the main rectangle (bigger one)
I see l=12, w=11, and h=2
So V(of main rectangle)=12x11x2
V(of main rectangle)=264
We have to go do the smaller rectangle now
I see l=4, w=6, but I know the h=2 because the height is the same as the main triangle.
So V(of smaller rectangle)=6x4x2
V(of smaller rectangle)=48
Now knowing the volume of the main and smaller rectangle, we have to add them to find the volume of the figure.
V(of smaller rectangle) + V(of main rectangle)
264 + 48
Volume of the figure= 312 yd²
You have a job that pays $20.00 for each day you show up, plus $11.00 per hour. Which expression shows the amount you make in one day if you work for (h) hours?
Answer:
Step-by-step explanation:
20.00+ 11.00=31.00
31x24=744
ps u did not put how manny hours so my answer cant be correct
Fei Yen bought a 28-pound bag of dog food. How many ounces are in a 28-pound bag of dog food?
Answer:
448 oz.
Step-by-step explanation:
28x16 = 448
Answer:
448 ounces
Step-by-step explanation:
1 pound = 16 ounces
16x28=448
HELP ILL GIVE BRAINLESS DUE SOON
Answer:
D) 39
Step-by-step explanation:
The numbers, put in order, are:
30 32 32 36 42 43 44 45
The median (middle) is between 36 and 42.
39 is halfway between 36 and 42.
Answer:
the answer is
D) 39
Step-by-step explanation:
what is the solution of this proportion 4/9 = 6/d
Answer:
d = 2/27
Remember that when a variable is times with a number you divide the number on both sides.
When a variable is divided by a number, you multiply the number on both sides.
Hope this helps you and thank you !!
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
round $74.91 to the nearest dollar
Answer:$75
Step-by-step explanation:
Brhe
How many of the following polygons are CONCAVE
PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
Answer:
32
Step-by-step explanation:
i just did 4 times 4 and add it to 8 times 2
Answer:
The area of the figure is 28.
Step-by-step explanation:
First, split it into a square and a trapezoid.
Then calculate the area of each of them.
Square = 4 times 4 = 16
Trapezoid = ((4 + 2)/ 2)*4 = 12
12 + 16 = 28
I hope this helps :)
Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question
Answer:
sorry
Step-by-step explanation:
sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
Leonard has an enclosed glass cabinet to display his collectibles. It is a rectangular prism with glass on all sides, except for the base. The cabine is 5 ft. tall, 1 ft. wide, and 2 ft. long. How many square feet o glass is this display case made
Answer:
2 feet
Step-by-step explanation:
If I sell all 80 tickets, I will have completed Il
% of my goal.
3x+2x-13=47 solve for x
please show all the steps
Please help me, I’ll give you points
Answer:
cool
Step-by-step explanation:
HELP ILL GIVE BRAINLESS DUE SOON
Answer:
f x 3=8
Step-by-step explanation:
Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
O 13
O 14
O 3:1
Answer:
1:3
Step-by-step explanation:
but thats not and answer