Water comes out of a pipe at a rate of 12 gallons per minute. How many gallons have come out after 3 minutes?
Answers
Answer: 36
Step-by-step explanation: 12/1 =?/3 so you multiply by 3 and 3x12= 36
Answer:
After 3 minutes, 36 gallons of water comes out of the pipe.
Step-by-step explanation:
If 12 gallons come out per minute, you can simply multiply 12 gallons by 3 minutes, thus you end up with 36 gallons / 3 minutes.
Related Questions
Crystal has 25 lollipops. Angie has 12 more lollipops than Crystal.
How many lollipops do the girls have all together?
Answers
Answer:
Both the girls have 62 lollipops
Step-by-step explanation:
25+25=50
50+12=62
Answer:
62 lollipops
Step-by-step explanation:
If Angie has 12 more lollipops than Crystal...
25 + 12 = 37 lollipops
Angie has 37 lollipops and Crystal has 25 lollipops. In total, that is...
37 + 25 = 62 lollipops
Help me plssssssssss
Answers
Answer:
Answer: y = x + 1
Step-by-step explanation:
\({ \tt{y = - 3x + 5}} \)
» At point of intersection:
\({ \tt{2 = - 3x + 5}} \\ { \tt{ - 3x = - 3}} \\ { \tt{x = 1}}\)
» Point of intersection is (1, 2)
• General equation of a line:
\({ \tt{y = mx + c}}\)
m is slopec is y-intercept» Consider point (1, 2);
\({ \tt{2 = (1 \times 1) + c}} \\ { \tt{c = 2 - 1}} \\ { \tt{c = 1}}\)
Equation:
\({ \tt{y = x + 1}}\)
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answers
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin
Answers
\((-4.89, 3)\) and \((4.89, 3)\) are the farthest from the origin and \((0, -1)\) is the closest from the origin.
Let be a curve of the form \(x^{2}+3\cdot (y-2)^{2} = 27\). The distance with respect to origin is found by using the following Pythagorean identity:
\(r = x^{2}+y^{2}\) (1)
Where \(r\) is the square distance function.
We can modify (1) as following:
\(r = [27-3\cdot (y-2)^{2}]+y^{2}\)
\(r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}\)
\(r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}\)
\(r = -2\cdot y^{2}+12\cdot y+27\) (1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
\(-4\cdot y +12 = 0\)
\(y = 3\)
Second derivative test
\(r'' = -4\)
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: \((-4.89, 3)\), \((4.89, 3)\).
Closest points: \((0, -1)\).
\((-4.89, 3)\) and \((4.89, 3)\) are the farthest from the origin and \((0, -1)\) is the closest from the origin.
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Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
Answers
The first two students obtained a mark of 73%, which gives us a total of 73 + 73 = 146 marks.
The next three students obtained a mark of 68% each, which gives us a total of 68 + 68 + 68 = 204 marks.
The average score obtained by the group is 71%. Since there are six students, the total marks obtained by all six students would be 6 * 71 = 426 marks.
To find the mark obtained by the sixth student, we can subtract the total marks obtained by the first five students from the total marks obtained by all six students: 426 - (146 + 204) = 76 marks.
Therefore, the mark obtained by the sixth student is 76%.
Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answers
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
Is this correct or incorrect …..
Answers
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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1. Tamekia and Marsha mow lawns during the summer to earn money. Tamekia
determined that she can earn between $6.00 and $6.25 per hour. Marsha
estimates that she earns between $7.50 and $8.00 per hour. About how much
more money will Marsha earn than Tamekia if they each work 22 hours? *
A. $65.01 to $85.00
B. $45.01 to $65.00
C. $25.01 to $45.00
D. $5.00 to $25.00
Answers
Marsha will make 33-38 more dollars than tamekia
Answer:B
Step-by-step explanation:
14. A certain real estate agent uses what he calls a step- strategy to sell houses. He puts a house on the market at a higher-than - expected selling price and if it hasn't sold in two weeks, he drops the price by 5%. If it still hasn't sold in another 2 weeks , he drops the price by another 5 %. After that , he continues to drop the price by 3% every two weeks until it reach es a cut -off amount assigned by the home owner , or the house sells , whichever comes first . If a house is originally listed at $200,000 and the homeowner sets a cut -off amount of $166,000 , what is the final selling price given that the house sells after being on the market for 9 weeks ? A ) $162,901.25 B) $164,737.48 $166,000.00 D ) $169,832.45
Answers
Answer:
vvvyaz
Step-by-step explanation:
szahvzlvzlz
PLEASE HELP!! 25 POINTS!! WILL MARK BRAINLIEST!!
The focus of a parabola is (−6,−3) . The directrix of the parabola is y=4.
What is the equation of the parabola?
y=−114(x+6)2+12
y=−128(x+6)2+12
y=−114(x+12)2+6
y=−128(x−12)2−6
Answers
Answer:
y=−128(x+6)2+12
Step-by-step explanation:
A pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. Can the cooks at the pizzeria make a dozen pizzas without refilling the canister? Complete the explanation.
Answers
The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.
What is the unitary method?
The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.
We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.
So, number of cups that will make 5 gallon is 16 * 5 = 80 cups
Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.
Hence, the cooks cannot make a dozen pizzas without refilling the canister.
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Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
Answers
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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According to a study published by the National Institute of Health, during intercourse condom breakage rates fall between 0.4% and 2.3%. Suppose that the breakage rate of Brand X is 2%. A Brand X Pleasure Pack contains 12 condoms. What is the probability that at least one of the condoms in the pack will break during intercourse
Answers
Answer:
b. 0.68
Step-by-step explanation:
trust me.
In 2011 Staci invested $14,000 in a savings account for her newborn son. The account pays 3.4% interest each year. Determine the accrued value of the account in the year 2029, when her son will go to college. Round your answer the nearest cent.In the year 2029, the accrued value will be $
Answers
EXPLANATION
We need to use the Compounding Interest Equation as shown as follows:
\(A=P(1+\frac{r}{n})^{nt}\)Where P=Principal = 14,000 r=rate in decimal form = 3.4/100 = 0.034 n=number of times interest is compounded per unit 't' = 1 t= time = 2029 - 2011 = 18 years
Plugging in the terms into the expression:
\(A=14,000(1+\frac{0.034}{18})^{1\cdot18}\)Adding numbers:
\(A=14,000(\frac{9017}{9000})^{1\cdot18}\)Computing the power:
\(A=14,000(1.034)\)Multiplying numbers:
\(A=14,476\)In conclusion, in the year 2029 the value will be $14,476
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answers
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answers
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
an equal expretion to 28.3.
Answers
Answer:
283/10
2830/100
Step-by-step explanation:
..........
Write an equation in slope-intercept form (-5,-7);y=-2x+4
Answers
Answer:
Step-by-step explanation:
First, let us substitute x and y values: -7 = -2(-5) + 4
Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).
Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:
14 + b = -7
by simplifying, we can conclude that b = -21
Finally, we can plug in the b-value into our original equation:
y = -2x + 4 - 21
After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).
The following data give the distribution of the types of houses in a town containing 25,000 houses. Identify each category and its percentage on the circle graph. House Style Frequency Cape 6250 Garrison 10000 Split 8750
Answers
The categories and their Percentages on the circle graph would be as follows:
Cape: 25%
Garrison: 40%
Split: 35%
To represent the distribution of house types in a town containing 25,000 houses on a circle graph, we need to determine the percentage of each category.
The given data provides the following frequencies for each house style:
Cape: 6,250 houses
Garrison: 10,000 houses
Split: 8,750 houses
To calculate the percentage for each category, we divide the frequency of each house style by the total number of houses in the town (25,000) and multiply by 100.
Percentage for Cape: (6,250 / 25,000) * 100 = 25%
Percentage for Garrison: (10,000 / 25,000) * 100 = 40%
Percentage for Split: (8,750 / 25,000) * 100 = 35%
Therefore, the categories and their respective percentages on the circle graph would be as follows:
Cape: 25%
Garrison: 40%
Split: 35%
These percentages represent the proportion of each house style in the town and can be visually represented on a circle graph to provide a clear visualization of the distribution of house types.
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s+(s+4)+2(s+4)=
what is the total
Answers
If AD is the perpendicular bisector of EB, find each measure.
Answers
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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Please factor/simplify the following term
x^4-16
Answers
Hope this helped:)
Answer:
x - 2Step-by-step explanation:
We will find the fourth root of both sides, which for x⁴ is simply going to be 4. For the other side, we will need to find the 4th root of 16. This can found in one of two ways.
Take the square root of 16, which and 4, and square root it again to get 2.
Use the calculator to find the 4th root of 16, which also comes out to be 2.
Our final answer for the simplified expression is x - 2Find the greatest common factor.
14x4, 22x7
Answers
Answer:
2
Step-by-step explanation:
the equation below represents the total price of Michigan State University per semester where c represents the number of classes and t represents the total cost for the semester including a one time fee for room and board
Answers
The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).
The equation captures the relationship between these variables and calculates the overall cost for a student attending the university. It is important to note that the equation provides a quantitative representation and does not take into account other factors such as scholarships, financial aid, or additional expenses. Therefore, the equation serves as a useful tool for estimating the total cost of attending Michigan State University, allowing students and their families to plan and budget accordingly for their education.For such more question on equation
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What is the area of a rectangle with side lengths of 6/8 meter and 4/10 meter
Answers
Answer: The area is 3/10
Step-by-step explanation: The area of a rectangle is length*width, so you multiply (6/8)*(4/10), multiply the numerators and denominators. It simplifies to 24/80, then reduce the fraction, you get 3/10.
Item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
Answers
Answer:
Step-by-step explanation:
item 4 Find the perimeter of the window. Round your answer to the nearest tenth. 90 cm
You did not state the diameter or radius of the window
so, i will use 90cm as the diameter of the window
First, I'd calculate the half circumference of the window.
The formula for circumference is \(c = 2\pi r\),
Half of it would just be \(c/2 = r\pi\)
Since our diameter is 90 cm, our radius is 45 cm.
Circumference =
\(=45\pi \\= 141.37 cm\)
circumference is also the same with perimeter
so, the answer is 141.37cmto nearest tenth = 141.4cmAnswer:
141.4cm
Step-by-step explanation:
=>
please give barinlist
Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
Required:
​Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?
Answers
Yes, they are quite similar. the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation - based method (p < 0.0001)
P- value is the probability of obtaining a value of test statistic more extreme in the direction of alternative hypothesis than the observed one. In easy words if p -value < level of significance we reject H0 in favor of H1.
Here:
p-value < 0.0001 => we reject H0.
If the statistical software renders a p value of 0.000 it means that the value is very low, with many "0" before any other digit.
So the interpretation would be that the results are significant, same as in the case of other values below the selected threshold for significance.
Therefore, yes they are quite similar.
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Incomplete Question:
Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?
A. No, they are different.
B. Yes, they are quite similar.
Complete the table given the following function:
y = 3x + 1
X
01
1 *blank*
2 *blank*
3 *blank*
-1 *blank*
Ordered Pair
(0, 1)
(1,4)
(2, *blank*)
(-1. *blank)
POSSIBLE POINTS: 20
Answers
The complete table of values of the linear equation is
x | y
0 | 1
1 | 4
2 | 7
3 | 10
-1 | -2
The ordered pairs are (x, y) = (0, 1), (1, 4), (2, 7), (3, 10) and (-1, -2)
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to make a table of values for the following equation?The linear equation of the function is given as
y = 3x + 1
On the incomplete table of values, we have the following x values
x = 0, 1, 2, 3, -1
Next, we substitute x = 0, 1, 2, 3, -1 in the equation y = 3x + 1
So, we have:
y = 3 x 0 + 1 = 1
y = 3 x 1 + 1 = 4
y = 3 x 2 + 1 = 7
y = 3 x 3 + 1 = 10
y = 3 x -1 + 1 = -2
So, the complete table of values of the linear equation is
x | y
0 | 1
1 | 4
2 | 7
3 | 10
-1 | -2
When represented as ordered pairs, we have
(x, y) = (0, 1), (1, 4), (2, 7), (3, 10) and (-1, -2)
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What is the answer to this question? 4w+8=6w-4
Answers
Answer:
6
Step-by-step explanation:
hope this helps
4w+8=6w-4
1. You’ll want to do the opposite of what your factor already is so, positive 4w will become -4w. Subtract 4 from 4, subtract 4 from six and you now have 2w.
2. Next, you’ll need to rewrite your new equation (8+2w-4) mind you *4 is cancelled out since we subtracted it from itself*.
3. Add four on each side now, so you’ll have (12+2w) and no more 4 because we ADDED to the variant.
4. Last but not least, you’ll want to divide each side, but only BY the variable. So it would be 12/2 and 2/2, and you get your answer ..
Answer = 6