Answer:
2400 liters in tank
Step-by-step explanation:
Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.
What is the meaning of rate?Rate is the ratio of quantity to time.
[tex]RATE = \frac{QUANTITY}{TIME}[/tex].
How to solve the question?In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.
For Company A:
The capacity of the tank = 2400 liters
Rate = 8 liters in 1 minute and 40 seconds
Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute
Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.
Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.
For Company B:
The capacity of the tank = 2400 liters.
We know 1 gallon = 4.54 liters,
or, 1/4.54 gallons = 1 liter.
Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.
Rate = 2.2 gallons per minute.
Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.
Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.
The given question is an incomplete question. The complete question is:
"A water tank is empty.
Anil needs to fill the tank with 2400 liters of water.
Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.
Company B supplies water at a rate of 2.2 gallons per minute.
1 gallon = 4.54 liters.
Company A would take more time to fill the tank than Company B would take to fill the tank.
How much more time?
Give your answer in minutes correct to the nearest minute."
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If 462 subjects were studied and 99 of them expressed a preference for Brand Y, what percentage
expressed a preference for Brand Y? Round to the nearest tenth percentage. Enter the numerical value
only. For example, if your answer is 12.2%, enter 12.2 in the blank.
Answer:
20
Step-by-step explanation:
492/99x100=21.43
nearest tenth percentage is 20
The vehicle preference of police officers and firefighters is given in the table.
Police Officers Firefighters
Cars 12
Trucks 9
SUVS 15
3
4
2
Based on the information in the table, which of the following is an example of independent events.
An example of independent events is P(Police Officers and choose cars).
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
P(A ∩ B) = P(A)P(B)
Police Officers Firefighters
Cars 12 3
Trucks 9 4
SUVs 15 2
Let P(A) = Firefighters choose cars
P(B) = Firefighters choose Trucks
P(A ∩ B) = Police Officers choose cars
Thus,
P(A ∩ B) = P(A)P(B)
12 = (4) ( 3)
Hence, an example of independent events is P(Police Officers and choose cars).
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HELPPPPPPPPPPPP plssss -. A bag of cookies cost the cookie company $.50 to make, but the local grocery store sells the same bag of cookies for $4.50. How much does the local grocery store mark up the price of the bag of cookies?
Answer:
$4
Step-by-step explanation:
Company $0.50
Store. $ 4.50
Price up $ X
4.50
- 0.50
------------
4.00
X= $4.00
A surgery has a success rate of 75%. Suppose that the surgery is performed on 4 patients. What is the probability that the surgery is successful on exactly 3 patients?
0.21094 is the probability that the surgery is successful on exactly 3 patients.
What is probability?
It is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
According to the given question,
Let Y = The number of patients who respond yes: [tex]Y - Bin (n,p)[/tex]
Given , [tex]n = 4 , p = 0.75 , q = 1 - p = 0.25[/tex]
[tex]P (Y = 3) = \left(\begin{array}{ccc}4\\3\\\end{array}\right) (0.75)^{2}(0.25)^{4-3} \\ = 0.21094\\\\[/tex]
The probability that the surgery is successful on exactly 3 patients is 0.21094
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Does this graph show a function explain how you know
The correct option is Option D: Yes, the graph passes the vertical line test.
The function is a relationship between two distinct sets X and set Y which can be many-one or one-one. here set X is called the domain and set Y is called the codomain.
The vertical line test states that
If we draw a straight vertical line( which is also parallel to the y-axis) and it touches the graph at only one point at all locations, then that relation is said to be a function and this relation will be also one-one.
So here in this function shown in the graph.
If we draw a vertical line parallel to the y-axis in this at any location then it crosses the graph only once. So, it passes vertical line test. And this graph is a function. Therefore option D is correct.
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1.
Which of the following is the given function's
average rate of change on the interval
-3
Answer: -2
Step-by-step explanation:
[tex]g(-3)=0\\\\g(-2)=-2\\\\\frac{g(-3)-g(-2)}{-3-(-2)}=\frac{0-(-2)}{-1}=\boxed{-2}[/tex]
One person ran 4 miles in 24 minutes. At this rate, how long would it take to run 26 miles?
Which functions have a vertex with a x-value of 0? Select three options.
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6
Answer:
f(x) = |x|f(x) = |x| + 3f(x) = |x| − 6Answer:
A,B,D
Step-by-step explanation:
need help with this question
The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
y = x³ - 5x + 2
The maximum is at dy/dx = 0, hence:
3x² - 5 = 0
x = -1.29 or x = 1.29
y = (-1.29)³ - 5(-1.29) + 2 = 6.3
The local maximum of the equation y = x³ - 5x + 2 is y = 6.3 which occurs at x = -1.29
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determine domain and range from graph
Domain: (-∞,∞)
Range: (-∞,-3]
Step-by-step explanation:
A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is
(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.
Christine splits 4/5 pounds of candy with 5 people. What is the unit rate in pounds per person. In simplest form
Answer:
4/25
Step-by-step explanation:
4/5 ÷ 5 = 4/5 × 1/5 = 4/25
What is the density of the oak board
Step-by-step explanation:
easy how thick it is we need a picture
Evaluating a piece-wise function. 10 pts
A sub sandwich shop offers 12 toppings to choose from. How many ways could a person choose a 4-topping sandwich?
HELPPPPPP
Using the combination formula, it is found that there are 495 ways to choose a 4-topping sandwich.
The order in which the toppings are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
4 toppings are chosen from a set of 12, hence the number of ways is given by:
[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]
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crash test results the insurance institute for highway safety crashed the 2010 ford fusion four times at 5 miles per hour. the costs of repair for each of the four crashes were $2529,$1889,$2610,$1073 $2529,$1889,$2610,$1073
compute the mean, median, and mode cost of repair.
Answer:
We know that
The costs of repair for each of the four crashes were
$2529, $1889, $2610, $1073
Here we have to compute the mean, median, and mode cost of repair.
Mean = total cost
the no of crashes
Mean = $2529 + $1889 +$2610 +$1073
4
Mean = $2025.25
Therefore the mean = 2025.25
Then we have to find median.
Now first we have to arrange the data in ascending order (smallest to highest).
$1073,$1889,$2529,$2610
Add the two middle numbers and then divide by two, to get the average:
$1889+$2529 = $4418
Median = $4418/2 = $2209
Therefore the median = $2209
Here there is no mode cost.
On Sunday, there were 22 inches of snow. The weather finally began to warm up and by Monday afternoon there were 19 inches. Then on Tuesday, there were 16 inches. If the snow continues to melt the same number of inches every day complete the equation to model the snowmelt if d represents the number of days after Sunday.
Answer:
22-3d=x
Step-by-step explanation:
where d is the days that it melts and the amount of snow x is the snow that is left.
Each of the integers 1-25 is written on an individual card and placed in a hat. You
randomly draw a card. How many favorable outcomes are there for choosing a card
with an odd number?
Ο Α. 2
OB. 11
O C. 13
OD. 25
Answer:
Step-by-step explanation:
Comment
If you know this formula
tn = t1 + (n - 1)*d then you don't even have to count how many odd numbers there are. If you don't know the formula, then you have to count how many odds there are between 1 and 25 inclusive. Just to save you the trouble, there are 13.
Givens
1 = t1
25 = tn
d = 2
Solution
25 = 1 + (n - 1)*2 Subtract 1 from both sides?
25-1 = 1-1 + (n - 1)*2 Combine
24 = (n - 1) * 2 Divide by 2
24/2 = (n - 1)*2/2
12 = n - 1 Add 1 to both sides
12 + 1 = n - 1 + 1 Combine
13 = n
Answer
So you have 13 cards that will bring success.
solve for x -
[tex]\bold{x {}^{2} - 4 = 0}[/tex]
ty! ~
Answer:
x² - 4 = 0
x² = 4
x =± √4
x = +2 or x = -2.
Answer:
2 and -2 (±2)
Step-by-step explanation:
Step 1: Move -4 to the other side of the equal sign; we get x² = 4.
Step 2: A lot of people miss the negative answer! The square root of 4 is equal to both positive 2 and negative 2.
Hope this helped! Please mark me as Brainliest b/c I really need it!!!Please SHOW THE WORK. How many miles are in 10 kilometers?
Given ZW=20. Answer the questions please.
a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]
c) Since the scale factor is 5/2,
[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]
5. Identify the sign of the leading coefficient and describe the end behaviour. Using this
information, decide if each function is cubic or quartic.
The sign of the leading coefficient can be found using the graph of a polynomial function.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have given the graph of polynomial functions:
In the first graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Degree of a function = 3
In the second graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → -∞
Degree of a function = 4
In the third graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → ∞
Degree of a function = 4
In the fourth graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → ∞
Degree of a function = 3
Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.
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At the beginning of a snowstorm, Amadou had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Amadou have on his lawn 4 hours after the snow began to fall? How much snow would Amadou have on his lawn after tt hours of snow falling
Answer:
4 inches
Step-by-step explanation:
Given information:
2 inches of snow on the lawnRate of snow falling = 0.5 inches per hourSnow did not meltLet y = height of snow on the lawn
Let t = time in hours
⇒ y = 2 + 0.5t
To find how much snow is on the lawn after 4 hours of snowing, substitute t = 4 into the found equation and solve for y:
⇒ y = 2 + 0.5(4)
⇒ y = 2 + 2
⇒ y = 4 inches
Therefore, Amadou will have 4 inches of snow on his lawn after 4 hours of snow falling.
After 4 hours of continuous snowfall at a rate of 0.5 inches per hour, Amadou would have 4 inches of snow on his lawn. After t hours of snow falling at the same rate, he would have 2 + 0.5t inches of snow on his lawn.
After 4 hours of snow falling at a constant rate of 0.5 inches per hour, Amadou would have:
Snow accumulation = Initial snow + (Snowfall rate × Time)
Snow accumulation = 2 inches + (0.5 inches/hour × 4 hours)
Snow accumulation = 2 inches + 2 inches
Snow accumulation = 4 inches of snow.
After t hours of snow falling, the amount of snow on Amadou's lawn would be:
Snow accumulation = Initial snow + (Snowfall rate × Time)
Snow accumulation = 2 inches + (0.5 inches/hour × t hours)
Snow accumulation = 2 + 0.5t inches of snow.
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the answer to this question
50 children had a choice of beans,plantain and rice.21 of them took beans,24 took plantain and 18 took rice.3 took beans only and 2 took rice only and 9 took plantain only. 5 took all the three items of food required. A.Draw a venn diagram to illustrate this information. B.Use your diagram to find the number of children who took ,1.plantain and beans only. 2.Rice and beans only.3.none of the three items of food.
The Venn diagram to illustrate this information is given in the image attached.
What is the Venn diagram about?The number of children who took plantain and beans only are:
Let beans = a
Rice = b
Plantain = P
So: a + b = 24 - 9 - 5 = 10
Note that 24 children took plantain.
9 children took only Plantain.
5 took the 3 food items.
So:
b + c = 18 -2 - 5 = 11
a + c = 21 - 3 - 5 = 13
P∩B = a + 5
= 6 + 5 = 11
R ∩ B = C + 5
=7 + 5 = 12
None of the three items of food =
50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)
= 50 - 36
=14
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Which expression could help you find the distance
between (10, 4) and (-6, 4)?
O [10] +1-41
O 1101 +141
O 1-61 +141
O |10| +-61
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
Correct Expression :
[tex]\qquad \tt \rightarrow \: |10| + | - 6| [/tex]
[tex]\qquad \tt \rightarrow \: distance = 16\:\: units\degree[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Using distance formula -} [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{( - 6 - 10) {}^{2} + (4 - 4) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{( - 16) {}^{2} + 0} [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{256} [/tex]
[tex]\qquad \tt \rightarrow \: 16 \: \: units[/tex]
For short it can be expressed as :
[tex]\qquad \tt \rightarrow \: |10| + | - 6| = 10 + 6 = 16[/tex]
[ y - coordinate of both the points are same ]
Correct option - D
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
The figure shows a right triangle with one leg marked 12. The hypotenuse is marked 15.
Answer:
9
Step-by-step explanation:
a^2+b^2=c^2
a^2+12^2=15^2
a^2=225-144
a=sqrt(81)
a=9
X= ABC+ AB+ ABC Simplify followings
Answer:
X = ABC+ AB+ ABC
X = AB(C+1+C)
X = AB(2C+1)
can i charge my hp laptop more than 1000 times
if n × 18 = ½ find n
Answer:
n = [tex]\frac{1}{36}[/tex]
Step-by-step explanation:
n × 18 = [tex]\frac{1}{2}[/tex]
To find the value of n we have to divide both sides by 18.
Let us solve it now.
18n = [tex]\frac{1}{2}[/tex]
[tex]\frac{18n}{18}[/tex] = [tex]\frac{1}{2}[/tex] ÷ 18
n = [tex]\frac{1}{2}[/tex] ÷ 18
n = [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{18}{1}[/tex]
n = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{18}[/tex]
n = [tex]\frac{1}{36}[/tex]
Find slope:
(3,7) & (6,-1)
Answer:
-8/3
Step-by-step explanation:
Slope = (-1-7)/(6-3) = -8/3
Answer:
-8/3
Step-by-step explanation:
You can use the slope formula which is (y2 - y1) / (x2 - x1). So using these values we get
(-1 - 7) / (6 - 3) = -8/3
