6 gallons to 42 gallons
Express each ratio as a fraction in the simplest form
Answers
If you have school calculator just put it in and you should get 1/7
Related Questions
Nii saved more than Yaw. He saved 17 cedis more than Yaw
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Answer:
thats great =)
Step-by-step explanation: can i pls have brainliest pls im on one more
Answer:
Step-by-step explanation:
uhh
I hate math, but math "love" me, keep on sticking to me.
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the number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48780 women earned a bachelor's degree, to 2003, when approximately 756000 women received such a degree. find an exponential function that fits the data, and the exponential growth rate.
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The exponential function which shows the exponential growth rate of graduating women is: A(t) = A₀e∧(0.037t).
What is defined as the Growth Function?When we need to start writing a growth function, we use three separate components. The first component is the starting population, the second is the growth rate, and also the third is the time elapsed. By combining all three, we can create a growth equation that will assist us in determining the growth rate if we are provided with the final population as well as the time elapsed.The following equation can be used to calculate an exponential function again for number of women graduating from four-year colleges in t years after 1930:
A(t) = A₀e∧(rt)
In which A₀ is the starting point and r is the exponential growth rate expressed as a decimal.
In 1930, 48780 women received a bachelor's degree.
This implies that;
A₀ = 48780
In 2004, approximately 756000 people
The year 2003 is 73 years after 1930, that also means
Using the equation as an example:
A(t) = A₀e∧(rt)
Put the values;
756000 = 48780 e∧(73r)
e∧(73r) = 756000/ 48780
e∧(73r) = 15.49
Taking log both side;
73r = ㏑ 15.49
r = 2.7/7
r = 0.037
The function becomes;
A(t) = A₀e∧(0.037t)
Thus, the exponential function which shows the exponential growth rate of graduating women is: A(t) = A₀e∧(0.037t).
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a group of men and women planted 88 trees, the man planted 7 each and the women planted 5 each. the men were 4 more than the women.
1.a. Is the men or women the smaller quantity? b. express the smaller quantity as x
2. write down the other quantity in terms of x
3.express the following in terms of x:
a. the number of trees planted by all the women
b. the number of trees planted by all the men
4. use these expressions to form an equation
5. solve the equation
6. write down the answer statement (write down the answer in words)
Answers
The women planted 25 trees and the men planted 63 trees.
1 a. Let x be the number of trees planted by women. Then the number of trees planted by men is x + 4. Since the men planted 7 each and the women planted 5 each, the total number of trees planted is 7(x + 4) + 5x = 12x + 28.
The smaller quantity is x, the number of trees planted by women.
2. The number of trees planted by men is x + 4.
3a. The number of trees planted by all the women is 5x.
3b. The number of trees planted by all the men is 7(x + 4) = 7x + 28.
4. The total number of trees planted is 88, so we have the equation:
5x + 7x + 28 = 88
5. Simplifying the equation, we get:
12x + 28 = 88
12x = 60
x = 5
6. The number of trees planted by women is 5, and the number of trees planted by men is 9. Therefore, the women planted 25 trees and the men planted 63 trees.
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I need help with this
Answers
Answer:
Each pizza cost $13.75
Step-by-step explanation:
Just divide 55 by 4
does this graph represent a function? if yes why?
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if the end behavior is decreasing to the left and increasing to the right, which statement must be true about the function?
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The correct statement is end behavior is decreasing to the left and increasing to the right, which statement must be true about the function is The order is odd and the leading coefficient is negative.
As x approaches infinity it is detected by its limit. On the left side, it is given by:
Rim x -> - ∞ f(x)On the right-hand side, it is given byRim x -> ∞ f(x)Since x tends to infinity, this is the limit, so we only consider the highest order term and its predecessors.So the described behavior is i. H. lim→→ = ∞, lim⭑→∞ =1∞ if:The order is odd and the leading coefficient is negative.For more information about borders, visit
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Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and bare
the
legs. Round your answers to the nearest tenth if necessary.
a = 8.8 ft, b = 9 ft
Answers
Answer: 12.6 ft
Step-by-step explanation:
a = 8.8 ft
b = 9 ft
c = ?
Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.
a^2 + b^2 = c^2
(8.8)^2 + (9)^2 = c^2
158.44 = c^2
(158.44)^(1/2) = c
12.5873 = c
c = 12.6 ft (rounded to the nearest tenth)
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
Answers
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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implement f using a single 4-to-1 multiplexer and two inverters. (5 points)
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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.
A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.
To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.
First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.
By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.
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What is the graph for -1/2x+y=10
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Fill in the blank. In the triangle below, x=__. Round your answer to two decimal places.
Answers
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right triangle,
\(\tan \theta=\dfrac{Perpendicular}{Base}\)
In the given right angle triangle,
\(\tan 52^\circ=\dfrac{x}{35}\)
\(1.2799\times 35=x\)
\(44.7965=x\)
Approximate the value to two decimal places.
\(x\approx 44.80\)
Therefore, the value of x is about 44.80 units.
Estimate 22,752 divdided by 18 , I'm doing a lot tonight, have 10 assesments due tom
Answers
Answer:
1264
Step-by-step explanation:
is the answer...........
70% of the shoes in the UK are made abroad. if you survey 120 people about the shoes they are wearing, how many do we expect to have UK-made shoes?
Answers
Answer:
84
Step-by-step explanation:
70% of 120= 84
Half the product of two numbers x and y minus five times a third number z
Answers
Answer:
(1/2)x =y-5+3z
Step-by-step explanation:
The expression for Half the product of two numbers x and y minus five times a third number z, \(\frac{xy}{2} - 5z\)
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
A statement, Half the product of two numbers x and y minus five times a third number z
The expression for the given statement = ?
First line- Half the product of two numbers x and y
⇒ \(\frac{xy}{2}\)
Second line- five times a third number z
⇒ 5z
Third operation-
Minus both the expressions
⇒ \(\frac{xy}{2} - 5z\)
Hence, the expression is \(\frac{xy}{2} - 5z\)
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find each value of k for which the lines y=9kx-1 and kx 4y=12 are perpendicular
Answers
The value of k in the equations is 2/3
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
y = 9kx - 1
kx + 4y = 12
This can be expressed as
y = 9kx - 1
y = -kx/4 + 3
The slopes of perpendicular lines are opposite reciprocal
This means that
9k * -k/4 = -1
So, we have
k^2 = 4/9
Evaluate
k = 2/3
Hence, the value of k is 2/3
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describe 3 or 4 other potential sources of error that may affect your results and explain why that will change the calculated answer.
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The possible sources of inaccuracy that could have an impact on your results are -
Interfaces that are incompatible.Not enough time to do the assignment.Conditions that are not tested.Define the term Experimental error?While conducting a scientific experiment, numerous errors—either systematic or random—could happen.
Errors may result from the calibration of the equipment, the preparation of the solution, or the mass- or volume-based measurements. The precision of the investigation and the recovery of the products can both be impacted by experimental mistakes. The stock solution could be diluted by the student using an inaccurate volume measurement, leading to a higher concentration over desired. For instance, the student might pipette their stock solution before dilution and accidentally add extra volume. On the other hand, if the learner adds less water than is required for dilution, the concentration will likewise be higher.Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.
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stephan drove to his aunt's house at 60mph. he made the reutrn trip, over the same roadway, at 40mph. what was stephen's
Answers
Stephen's average speed for the round trip was 48 mph.
To find Stephen's average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.
On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:
Time = Distance / Speed = d / 60
On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:
Time = Distance / Speed = d / 40
The total time for the round trip is the sum of the times for the outward and return trips:
Total Time = d / 60 + d / 40
To find the average speed, we divide the total distance by the total time:
Average Speed = Total Distance / Total Time
The total distance for the round trip is 2d (since it's the same roadway for both trips).
Average Speed = 2d / (d / 60 + d / 40)
Simplifying this expression, we get:
Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph
Therefore, Stephen's average speed for the round trip was 48 mph.
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Need help with this question urgent please
Answers
Answer:
x=4.5
Step-by-step explanation:
2 [x-3]-5=7
2x - 3 - 5 =7
2x - -2 =7
7+2=9
9/2=4.5
i may be wrong <3
Simple question free brainly
0 + (1/2)×(2. 219^2)*9. 81
Answers
The simplified value of the given expression 0 + (1/2)×(2. 219^2)*9. 81 is 24.143810005.
To simplify the expression, we can use the Order of Operations (PEMDAS): 1. Parentheses 2. Exponents 3. Multiplication 4. Division 5. Addition 6. Subtraction. Hence, to simplify the expression 0 + (1/2)×(2.219^2)*9.81, we need to follow the order of operations (PEMDAS).
1. The parentheses must be solved first: (2.219^2) = 4.924361
2. The exponents are solved next: there are none in this expression
3. The multiplication must be carried out next: 4.924361x9.81 = 48.30405741
4. The division is done next: (1/2)x48.30405741 = 24.143810005
5. The addition and subtraction are carried out last: 0 + 24.143810005 = 24.143810005
Therefore, the simplified expression is 24.143810005.
Note: The question is incomplete. The complete question probably is: Simplify the question 0 + (1/2)×(2. 219^2)*9. 81
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4. (2 pts) A roll of 32 bills contains only $5 bills and $10 bills. If the value of the roll is $220,then how many of each bill are in the roll?
Answers
Given:
Total number of bills is, N = 32.
Total cost of the bill is, C = $220.
The first type of bill contans $5 bills and second type of bill contains $10 bills in the roll.
Explanation:
Consider the numer of $5 bills as x and $10 bills as y.
Then, the equation for total number of bill can be written as,
\(\begin{gathered} x+y=N \\ x+y=32 \\ x=32-y\text{. . . . . . . (1)} \end{gathered}\)Similarly the total cost of the bill can be written as,
\(undefined\)4х + 3у = — 2
Зу = 4 -x
х =?
у =?
Answers
Answer: x=-2, y=2
Step-by-step explanation:
(SUBSTITUTION)
= 4x+4-x=2
x=-2
3y=4 x (-2)
y= 2
Step-by-step explanation
Answer the following questions about the sphere whose equation is given by x^2 + y^2 + z^2 - 6x + 10y = 30. 1. Find the radius of the sphere. Radius: r = ___
2. Find the center of the sphere. Write the center as a point (a, b, c) where a, b, and c are numbers. Center: ___
Answers
The radius of the sphere is 7.
The center of the sphere is (3, -5, 0).
How to find the radius of the sphere?1. To find the radius and center of the sphere whose equation is given by \(x^2 + y^2 + z^2 - 6x + 10y = 30,\)
we need to rewrite the equation in standard form, which is:
\((x - a)^2 + (y - b)^2 + (z - c)^2 = r^2\)
where (a, b, c) is the center of the sphere and r is its radius.
Finding the radius of the sphere:
To rewrite the given equation in standard form, we need to complete the square for x and y. First, we rearrange the terms as follows:
\(x^2 - 6x + y^2 + 10y + z^2 = 30\)
To complete the square for x, we add and subtract \((6/2)^2 = 9\) to the x terms:
\(x^2 - 6x + 9 + y^2 + 10y + z^2 = 30 + 9\)
\((x - 3)^2 + (y + 5)^2 + z^2 = 49\)
Comparing this to the standard form, we see that the center of the sphere is (3, -5, 0) and its radius is:
\(r = \sqrt(49) = 7\)
Therefore, the radius of the sphere is 7.
How to find the center of the sphere?2. As we found above, the standard form of the equation of the sphere is:
\((x - 3)^2 + (y + 5)^2 + z^2 = 49\)
Comparing this to the standard form, we see that the center of the sphere is (3, -5, 0).
Therefore, the center of the sphere is (3, -5, 0).
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Help please!! 40pts!!
Answers
Answer: 3,64
Step-by-step explanation:
what is the value of the 6 in 547.675
Answers
Answer:
tenths place
Step-by-step explanation:
The 6 is in the tenths place, according to this chart.
There are 8 fluid ounces in one cup. If you amount of fluid ounces, will the amount of cups also double? Write an argument that can be used to defend your solution.
Answers
If you double the amount of fluid ounces, then the amount of cups will double as well. This is a true statement.
Consider the statement "there are 8 fluid ounces in one cup" to be written as the equation
8 fluid ounces = 1 cup
We can multiply both sides by 2 to get
16 fluid ounces = 2 cups
We must multiply both sides by the same number to keep the equation the same (keep things balanced).
Find the area of a circle with diameter 16 yd.
Use the value 3.14 for it, and do not round your answer.
Answers
Answer:
do 3.14× the radius then square it
Step-by-step explanation:
radius = half of the diameter
answer is 201.06yards
If 2/3x - 1 =4, then x =
Answers
2/3x=5
2x=15
X=15/2
2
y
b
P
0
The equation of the line / in the diagram is y = 5-x.
The line cuts the y-axis at P.
a
Write down the co-ordinates of P.
Write down the gradient of the line 1.
NOT TO
SCALE
Answers
Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.
The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).
To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.
We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.
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Question
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
Responses
132 units2
132 units, 2
156 units2
156 units, 2
168 units2
168 units, 2
216 units2
216 units, 2
A rectangle with a length of 15 and a height of 4. A rectangle with a length of 6 and a height of 4 is atop the first rectangle. A triangle with a short leg length of 4 is atop the second rectangle. A large triangle is on top of the first rectangle and next to the second rectangle.
Answers
Answer:
35
Step-by-step explanation: