a 2000l tank containing 550l of water is being filled wiwter at the rate of 75l per min from full 1600l tank how long will it be before the two tanks have the same amount of water
By using the equation we can conclude that it will take 7 hours before the two tanks have the same amount of water.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, the equation that will help to find the answer:
550+75x = 1600-75xSo, now solve for x as follows:
550+75x = 1600-75x150s = 1600-550150x = 1050x = 1050/150x = 7Therefore, by using the equation we can conclude that it will take 7 hours before the two tanks have the same amount of water.
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7. A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed, in miles
per hour of the car?
Blue, Green, Green, Blue, Blue, Red, Black, Orange, Blue, Green, Orange
Select the mode(s).
Answer:
Blue
Step-by-step explanation:
Blue appears 4 times which is more than any of the others
Answer:
4Blue
3Green
2 Orange
3 modes (Trimodal)
hope it's helpful ❤❤❤❤
THANK YOU
3 + 4 X 3-3 X 5
What is the answer
Remember the Rules of Operations (PEDMAS):
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
So with the expression 3 + 4 x 3 - 3 x 5 we know to multiply first. So let's multiply 4 x 3 and -3 x 5 first:
3 + 4 x 3 - 3 x 5
= 3 + 12 - 15
Then let's work out the rest of the expression!
3 + 12 - 15
= 15 - 15
= 0
Therefore we can determine that 3 + 4 x 3 - 3 x 5 = 0
I hope this helped! :)
Please help quick will give brainly
Answer:
\(1134yd^3\)
Step-by-step explanation:
Right Triangular Prism
V = LWH
L = 6yd
W = 21yd
H = 9yd
____________________
Follow the volume formula, and multiply the length by width and height together.
V = LWH
V = (6)(21)(9)
V = 1134yd^3
Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.
R(x)=8x/x+19
Answer:
Below in bold.
Step-by-step explanation:
R(x) = 8x/(x + 19)
When x = -19 the denominator = zero so there is a vertical asymptote which is
x = -19.
If we divide 8x by x + 19 we get 8 remainder -152.
So horizontal asymptote is R(x) = 8.
As the degree of the numerator and denominator are the same ( both 1) there is no oblique asymptote.
A gas station sells unleaded regular and unleaded premium gasoline. The price per gallon charged by the station is$1.299 for unleaded regular and $1.379 for unleaded premium. The cost per gallon from supplier is$1.219 for unleaded regular and $1.289 for unleaded premium. If equals the number of gallons sold of regular and equals the number of gallons sold of premium:(a) Formulate the revenue function from selling and gallons of the two grades of gasoline respectively?(b) Formulate total cost for purchasing and gallons?(c) Formulate the total profit? d) what is the total profit expected to equal if the station sells 100,000 gallons of unleaded and regular and 40000 of unleaded premuim?
Answer:
a) Revenue function = 1.299r + 1.379p
where: r = gallon of unleaded regular gasoline and p = gallon of regular unleaded premium gasoline
b) cost function = 1.219f + 1.289p
c) profit function = (1.299r + 1.379p) - (1.219f + 1.289p) = 1.299r - 1.219r + 1.379p - 1.289p = 0.08p + 0.09p
d) total profit = (0.08 x 100,000) + (0.09 x 40,000) = $8,000 + $3,600 = $11,600
99 pencils cost \$7.74$7.74dollar sign, 7, point, 74. Which equation would help determine the cost of 666 pencils? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{6}{x} = \dfrac{9}{\$7.74} x 6 = $7.74 9 start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice B) B \dfrac{x}{6} = \dfrac{9}{\$7.74} 6 x = $7.74 9 start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice C, Checked) C \dfrac{9}{6} = \dfrac{x}{\$7.74} 6 9 = $7.74 x start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction (Choice D) D \dfrac{6}{x} = \dfrac{\$7.74}{9} x 6 = 9 $7.74 start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction (Choice E) E None of the above
Answer:
\(\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\$7.74}}\)
Step-by-step explanation:
9 pencils cost $7.74
6 pencils cost x
The ratios are
\(\dfrac{9}{6} = \dfrac{\$7.74}{x}\)
According to the alternendo property,
\(\dfrac{9}{6} = \dfrac{\$7.74}{x} \Rightarrow \dfrac{9}{\$7.74} = \dfrac{6}{x}\\\\\text{The correct answer is $\large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\$7.74}}}$}\)
Answer:
correct
Step-by-step explanation:
Help !! No links Nd I’ll be grateful if u do explanation thank you
Why is the opposite of a number also called the additive inverse??
Answer:
Because when you add a negative you are basicall inverting the value. For example
Find the mean of thefollowing probability distribution. x 0 1 2 3 4 P(x) 0.19 0.37 0.16 0.26 0.02
The mean of this probability distribution is 1.55.
To find the mean of a probability distribution, we need to multiply each possible value by its corresponding probability, and then add up these products. So, the mean is:
mean = (0)(0.19) + (1)(0.37) + (2)(0.16) + (3)(0.26) + (4)(0.02)
= 0 + 0.37 + 0.32 + 0.78 + 0.08
= 1.55
Therefore, the mean of this probability distribution is 1.55.
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elizabeth divided one 3 yards piece of fabric into 1/4 yard pieces how many pieces of fabric does elizabeth have now
Answer: 12
Step-by-step explanation: Because you have to divide 3 by 1/4 which will equal 12
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
Twelve months of sales data are provided in the table below
along with the associated seasonal relatives. This product
experiences a seasonal pattern that repeats every year. Create a
linear regressio
Linear regression is a technique used in statistics and machine learning to understand the relationship between two variables and how one affects the other.
In this case, we are interested in understanding the relationship between sales and seasonality. We can use linear regression to create a model that predicts sales based on seasonality. Here's how we can do it First, let's plot the data to see if there is a relationship between sales and seasonality.
We can see that there is a clear pattern that repeats every year. This indicates that there is a strong relationship between sales and seasonality. We can use the following equation: y = mx + b, where y is the dependent variable (sales), x is the independent variable (seasonality), m is the slope of the line, and b is the intercept of the line.
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Cuál de los siguientes es un triángulo rectángulo?
A
2 cm - 3 cm - 4 cm
B
4 cm - 5 cm - 6 cm
C
6 cm - 8 cm - 12 cm
D
5 cm - 12 cm - 13 cm
Step-by-step explanation:
B
how many shuffles to randomize a new deck of cards
Answer:
It takes 7 shuffles
Step-by-step explanation:
Summary. Based on this analysis, Diaconis has written that "seven shuffles are necessary and suffice to approximately randomize 52 cards." Of course, our technique has just given an upper bound for the distance between Rk and U . In fact, J.
Source: www.ams.org
How do solve for x in supplementary ,complementary and vertical angles
Find the length of the midsegment of the trapezoid.
M
MN
18
10
The length of the midsegment of the trapezoid is 14 units
How to find the length of the midsegment of the trapezoid?The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.
The length of the midsegment of a trapezoid is half of the sum of the lengths of the two parallel sides. Thus:
The length of the midsegment MN = (18+10)/2 = 28/2 = 14 units
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HELP THIS IS WORTH 100 POINTS WILL GIVE BRAINLIEST LMK
Answer:
Line l could also be called line FE
Step-by-step explanation:
Any line can be named using two points on that same line
What is 24% as a growth and decay factor
Answer:
When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.
Step-by-step explanation:
The growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.
What is the growth and decay factor?It is defined as the factor that represents the increase and decreases in value by that factor. For the growth add one as a decimal and for the decay subtract one as a decimal.
For the growth factor:
F(g) = 1+r
Here r = 24% = 0.24
F(g) = 1+0.24 = 1.24
For the decay factor:
F(d) = 1-r
Here r = 24% = 0.24
F(d) = 1-0.24 = 0.76
Thus, the growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.
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the base of a right prism has an area of 10 square feet. the height of the prism is 6 feet. what is its volume?
The volume of the right prism with a base area of 10 square feet and a height of 6 feet is 60 cubic feet.
A prism is a polyhedron that has a base and a top face that are the same in size and shape, with sides connecting them that are rectangles in a right prism.
A right prism is a prism in which all of the side faces are perpendicular to the base.
Therefore, the height of the right prism is perpendicular to the base as well.
A right prism has a volume equal to the product of the base area and the height.
This formula can be represented as:
V = Bh
Here, B represents the area of the base, and h represents the height.
The volume of the right prism can be found by multiplying the area of the base by the height of the prism, according to the formula:
V = Bh.
In this problem, the area of the base of the prism is given to be 10 square feet.
The height of the prism is 6 feet.
We can simply substitute these values into the formula to obtain the volume of the right prism as follows:
V = BhV
= 10 × 6V
= 60
Therefore, the volume of the right prism is 60 cubic feet.
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Algebra Honors 1 please help Files are attachedv
50 points
Answer:
The system will be
f(x)=4.55x+40
g(x)=5.75x+10
Both company 1 and 2 charge $153.75 for cleaning 25 garment
Step-by-step explanation:
Equation 1
\(\frac{85.50-62.75}{10-5} =\frac{22.75}{5}=4.55\)
y-62.75=4.55(x-5)
y-62.75=4.55x-22.75
c(n)=4.55x + 40
Equation 2
\(\frac{67.50-38.75}{10-5}=\frac{28.75}{5}=5.75\)
y-38.75=5.75(x-5)
y-38.75=5.75x-28.75
c(n)=5.25x + 10
The system will be
f(x)=4.55x+40
g(x)=5.75x+10
30=1.2x
x=25
f(x) when x=25
f(x)=4.55x+40
f(25)=4.55(25)+40
f(25)=113.75+40
f(25)=153.75
Both company 1 and 2 charge $153.75 for cleaning 25 garments.
15 less than a number tripled is equivalent to the difference of the same number and 12
multiplied by -4. What is the number?
Step-by-step explanation:
x = number
3x - 15 = (x - 12)×-4 or (12-x)×-4
3x - 15 = -4x + 48 or -48 + 4x
7x = 63, x = 9 or
33 = x
what is 1/3 plus -2 times -1/5 as a fraction in simplest form?
Answer:
The answer is 1/3.
2. Sarah is training for a triathlon. She is planning her training schedule and wants to know how much she should run each week. Her choices are to run 2 ¼ miles three times each week or she can run 1 ¾ miles five times each week. She wants to choose the option with the longest total distance. Which option should she choose? Explain your thinking in numbers and words.
Answer: She should run 1 1/3 miles 5 times a week.
Step-by-step explanation: I converted 3/4 to a decimal to have 1.75 and I multiplied it by 5 because that is how many times she will be running 1.75 miles in a week, I got 8.75. So that means if she runs 1.75 miles for 5 days she will run a total of 8.75 miles. Then I converted 1/4 into a decimal and now have 2.25, then I multiplied 2.25 by 3 and got 6.75. So I saw that 8.75 is greater than 6.75,
So the correct answer is: she should run 1 3/4 miles 5 times a week
Consider F and C below. F(x, y) = (2x, 8y), C is the arc of the parabola x = y2 from (4, -2) to (1, 1) (a) Find a function f such that F = Vf. f(x, y) = (b) Use part (a) to evaluate les F. dr along the given curve C.
The zeros of the quadratic function f(x) = 8x² - 16x - 15 are x = 1 – and x = 1.A quadratic function is a type of polynomial function where the highest exponent of the variable (usually x) is 2.
In the standard form of a quadratic function, it is represented by f(x) = ax² + bx + c, where a, b, and c are constants.How to find the zeros of a quadratic function, The zeros of a quadratic function can be found by solving the quadratic equation ax² + bx + c = 0. The solutions of the quadratic equation are the x-intercepts or the zeros of the quadratic function. In the given quadratic function, f(x) = 8x² - 16x - 15, a = 8, b = -16, and c = -15.
Substituting the values of a, b, and c in the quadratic formula,x = [-b ± √(b² - 4ac)] / 2awe get,x = [-(-16) ± √((-16)² - 4(8)(-15))] / 2(8)x = [16 ± √(256 + 480)] / 16x = [16 ± √736] / 16x = [16 ± 2√184] / 16x = [2(8 ± √184)] / 16x = (8 ± √184) / 8x = 1 ± 0.5√46Therefore, the zeros of the quadratic function f(x) = 8x² - 16x - 15 are x = 1 – and x = 1.
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alex and felicia each have cats as pets. alex buys cat food in cylindrical cans that are cm in diameter and cm high. felicia buys cat food in cylindrical cans that are cm in diameter and cm high. what is the ratio of the volume of one of alex's cans to the volume one of felicia's cans?
The ratio of the volume of one of alex's cans to the volume one of felicia's cans is 1:2.
The cylinder three-dimensional shape consists of two parallel circular bases connected by a curved surface.
We have to find the ratio of the volumes of the can, which are in cylinder shape.
We will find the volume first.
Diameter is given, we divide by 2 to get the radius. h is height and is radius in the formula.
Volume=πr^2h
Volume of alex can V1= π*(6/2)^2*12
=π*3^2*12
=π*9*12
=108π
Volume of felicia can V2= π*(12/2)^2*12
=π*6^2*6
=π*36*6
=216π
V1:V2= 108π:216π
=1:2
The ratio of volumes are 1:2.
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Complete question
Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are 6 cm in diameter and 12 cm high. Felicia buys cat food in cylindrical cans that are 12 cm in diameter and 6 cm high. What is the ratio of the volume one of Alex's cans to the volume one of Felicia's cans?
3/4y+6=0 steps in order
Answer : y = - 8
3/4y+6=0
Step 1: Subtract 6 from both sides :
3/4y + 6 - 6 = 0 - 6
3/4y = -6
Step 2: Multiply both sides by 4/3 :
( 4/3 ) × ( 3/4y ) = ( 4/3 ) × ( -6 )
Final answer is y = - 8
in the same distribution (mean is 70 and the standard deviation is 8. at least what fraction are between the following pairs
At least 68% of the data falls between 62 and 78, and at least 95% of the data falls between 54 and 86.
How to find the minimum fraction of the data?To answer this question, we can use the empirical rule, also known as the 68-95-99.7 rule, which tells us that for a normal distribution:
About 68% of the data falls within one standard deviation of the meanAbout 95% of the data falls within two standard deviations of the meanAbout 99.7% of the data falls within three standard deviations of the meanUsing this rule, we can estimate the fraction of the data that falls between the following pairs:
Between 54 and 86:
To find the range of values that is within two standard deviations of the mean, we can subtract and add two standard deviations from the mean:
Lower bound: 70 - 2*8 = 54
Upper bound: 70 + 2*8 = 86
So, about 95% of the data falls between 54 and 86.
Between 62 and 78:
To find the range of values that is within one standard deviation of the mean, we can subtract and add one standard deviation from the mean:
Lower bound: 70 - 8 = 62
Upper bound: 70 + 8 = 78
So, about 68% of the data falls between 62 and 78.
Therefore, we can conclude that at least 68% of the data falls between 62 and 78, and at least 95% of the data falls between 54 and 86.
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A total of 76 students responded to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride.
Of the 25 boys surveyed, 9 get a ride to school. Construct a two-way frequency table to display the data. Drag the numbers into the boxes. Each number may be used once, more than once, or not at all.
Here is the two-way frequency table
Girls Boys Total
Walk 22 16 38
Ride 29 9 38
Total 51 25 76
What is a two-way frequency table?A two-way frequency table is a table that is used to observe the frequency of a dataset.
Total number of girls = total number of people surveyed - total number of boys
76 - 25 = 51
Total number of boys that walk = total number of boys - number of boys that ride the bus
25 - 9 = 16
Total number of people who ride the bus = total number of girls who ride the bus + total number of boys who ride the bus
29 + 9 = 38
Total number of people who walk = total number of girls who walk + total number of boys who walk
22 + 16 = 38
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