A fruit punch recipe requires 2 quarts pf orange juice to be mixed for every 5 quarts of apple juice. Max has 9 quarts of orange juice.How much apple juice does Max need to make the punch if he wants to use all of his orange juice
Answers
Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
Related Questions
HELP ASAP!!!! Solve two and three eighths plus negative four and one fourth.
Answers
Answer:
-1 7/8
Step-by-step explanation:
2 3/8 + (-4 1/4) =
= 19/8 + (-17/4)
= 19/8 + (-34/8)
= -15/8
= -1 7/8
6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
Answers
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
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A credit card had an APR of 15.83% all of last year and compounded interest
daily. What was the credit card's effective interest rate last year?
A. 19.53%
B. 19.37%
C. 11.95%
D. 17.84%
Answers
In order to simulate conditions near roads treated with road salt, scientists raised wood frog tadpoles in a high concentration of salt, and tadpole survival was measured. The survival rates for 5 replicates were 32, 37, 41, 45, and 50 percent. The sample mean for these values is 41 percent, and the sample variance is 48.5 percent squared. Determine the standard error of the sample mean for this data set.
Answers
Answer:
\(SE_{\bar x} = 0.311\)
Step-by-step explanation:
Given
\(n=5\)
\(\bar x = 41\%\)
\(\sigma^2= 48.5\%\) --- variance
Required
The standard error of the sample mean
This is calculated as:
\(SE_{\bar x} = \frac{\sigma}{\sqrt n}\)
This can be rewritten as:
\(SE_{\bar x} = \frac{\sqrt{\sigma^2}}{\sqrt n}\)
So, we have:
\(SE_{\bar x} = \frac{\sqrt{48.5\%}}{\sqrt 5}\)
Rewrite as:
\(SE_{\bar x} = \sqrt{\frac{48.5\%}{5}}\)
\(SE_{\bar x} = \sqrt{0.097}\)
\(SE_{\bar x} = 0.311\)
Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)
Answers
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.
(a) The given units can be converted as follows: 6 glints = 1 filn...
(1)12 grees = 1 zool...
(2)2 grees = 10 twibbs...
(3)5 grees = 1 bic...
(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:
7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord
(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.
1 mega = 106
Thus 1 megafiln = 106 filn
16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord
The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.
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Simplify The Sums Below. (A) ∑N=0241x2 (B) ∑N=−[infinity][infinity]X(M)⋅Y(N)
Answers
A. The simplified sum is 241x^2.
B. The sum simplifies to:
∑N=−∞^∞ X(M)⋅Y(N) = X(M)⋅Y(0)
The simplified sum is X(M)⋅Y(0).
(A) ∑N=0^241 x^2:
To simplify this sum, we need to evaluate the expression x^2 for each value of N from 0 to 241 and sum up the results.
∑N=0^241 x^2 = x^2 + x^2 + x^2 + ... + x^2 (241 terms)
Since x^2 is constant for each term, we can simply multiply x^2 by the number of terms, which in this case is 241:
∑N=0^241 x^2 = 241 * x^2
Therefore, the simplified sum is 241x^2.
(B) ∑N=−∞^∞ X(M)⋅Y(N):
This sum represents an infinite series where X(M) and Y(N) are the terms being multiplied.
Since the range of N is from negative infinity to positive infinity, we can observe that for every term X(M)⋅Y(N) with a positive N, there will be a corresponding term with a negative N that cancels it out due to the multiplication.
Therefore, the sum simplifies to:
∑N=−∞^∞ X(M)⋅Y(N) = X(M)⋅Y(0)
The simplified sum is X(M)⋅Y(0).
Note that this simplification assumes that X(M) and Y(N) are well-defined functions that do not depend on the specific value of N.
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4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
Answers
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
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Please help! Almost done! thx
Answers
Answer:
c^2 = a^2 + b^2 - 2ab cos(C)
Step-by-step explanation:
The angle at A is named A, the angle at B is named B, and the angle at C is named C
Find the area of the triangle described below. Round to the nearest hundredth.b = 20, a = 29, c = 21
Answers
Solution
We want to find the area of the triangle given te sides
b = 20
a = 29
c = 21
Note: Hero formula for calculating the Area of a Triangle
We will first find S
\(\begin{gathered} S=\frac{a+b+c}{2} \\ S=\frac{29+20+21}{2} \\ S=35 \end{gathered}\)To find the Area
\(\begin{gathered} Area=\sqrt[]{S(S-a)(S-b)(S-c)} \\ Area=\sqrt[]{35(35-29)(35-20)(35-21)} \\ Area=\sqrt[]{35\times6\times15\times14} \\ Area=\sqrt[]{44100} \\ Area=210 \end{gathered}\)Therefore, the area is
\(Area=210\)
howhowhow?how??? how would you calculate
if 1. was 32, how would you got 32 from '40% of 80'
Answers
Ok sooooooooooo
Lets say your two fractions are
13/26 and 20/40
you can divide the bottom number by the top one and if you get the same answer for both then they are equivalent. For these you get 2 for both, which means they are equivalent.
another example would be if your fractions are
2/5 and 4/10
You can say well 2*2 equals 4 And 5*2 equals ten so these are equivalent fractions.
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.
Which statements are correct?
Select each correct answer.
The heights of the Warriors’ players vary more than do the Panthers’ heights.
The heights of the Buffaloes’ players and those of the Panthers vary about the same amount.
The heights of the Panthers’ players and those of the Warriors vary about the same amount.
The heights of the Buffaloes’ players vary more than do the Warriors’ heights.
Team Mean height (cm) MAD (cm)
Buffaloes 163 7.9
Panthers 179 8.1
Warriors 178 5.8
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
The heights of the buffaloes’ players vary more than do the warriors’ heights.
The heights of the buffaloes’ players and those of the panthers vary about the same.
Step-by-step explanation:
credit to km1329 in a comment
Question 2 (1 point)
Find the midpoint of the line segment with the given endpoints.
(-9, 8), (2, -1)
(-5.5, 4.5)
(-0.5, 0.5)
(13,-10)
(-3.5, 3.5)
Answers
Answer:
Step-by-step explanation:
(-9+2)/2= -7/2= -3.5
(8 + (-1))/2 = 7/2= 3.5
(-3.5, 3.5) is the solution
Out of110110students,6666areabsentabsent. What percentage of the students areabsentabsent?
Answers
16.5
110110/6666=16.5
What is an equation of the line that passes through the points (8,-3) and (4,2)?
Answers
Answer:
y=-1.25x+7
Step-by-step explanation:
See the image
1. What does God look like?
2. What came first, the chicken or the egg?
3. Where do you go when you die?
4. What are black holes?
5. Why is water wet?
6. Why do people die?
7. How did the world begin?
8. Where do babies come from?
9. Why is the sea salty?
10. Why is the moon sometimes out in the day?
11. How does the internet work?
12. Why is the sky blue?
13. Where does wind come from?
14. Why do we have a leap year?
15. What makes the Earth spin?
16. Why is blood red?
17. What is infinity?
18. How big is the world?
19. Why doesn't the sky fall down?
20. Why does cutting onions make you cry?
21. How do planes fly?
22. How do telephones work?
23. How does TV work?
24. Why am I right/left handed?
25. What is electricity?
26. How do clouds float?
27. How does the car work?
28. How do the sun and moon stay in the sky?
29. Why are people's eyes different colours?
30. How does lightning strike?
Answers
Answer: here are my answers.
Step-by-step explanation: Here are some brief answers to your questions:
1. The appearance of God is a matter of personal belief and varies across different religions and cultures.
2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.
3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.
4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.
5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.
6. People die due to a variety of factors, including disease, injury, and aging.
7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.
8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.
9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.
10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.
11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.
12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.
13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.
14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.
15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.
16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.
17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.
18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).
19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.
20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.
21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.
22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.
23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.
24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.
25. Electricity is a form of energy caused by the movement of electrons through a conductor.
26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.
27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.
28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.
29. The color of a person's eyes is determined by the amount and type of pigments in the iris.
30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.
4x-1-5-2x
Help!!!!!!!!!!
Answers
Answer:
4x-1-5-2x
2x-6
Step-by-step explanation:
Answer:
2x - 6
Step-by-step explanation:
Find the equation of the given line. Line C
Answers
Answer:
y= 2/3x -2
Step-by-step explanation:
The slope of this line is 2/3 and the y intercept is -2 because that is where the line crosses the y axis.
help pleaseeeeeeeeee
Answers
Answer: C : (6,5)
Step-by-step explanation:
Parallelogram ABCD is rotated to create image A'B'C'D'.
Answers
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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Type the correct answer in the box.
5 units
3 units
2 units
The area of the figure is
2 units
2 units
square units.
Answers
Answer:
26 units
Step-by-step explanation
The figure is divided into a total of 3 Rectangles,
The formula of are of rectangle is length x breadth.
So, area of 1st rectangle = length x breadth
= 5 x 2
= 10 units
Area of 2nd rectangle = 3 x 2
= 6 units
Area of 3rd rectangle = 5 x 2
= 10 units
Therefore, area of figure = 10 units + 6 units + 10 units
= 26 units
Hope i was able to help you ; )
what is 9×4−(2×1/2)
(1/2 Is a fraction btw)
Answers
Answer:
35
Step-by-step explanation:
I used Symbolab here's the screenshot
what is 0.7 divided by 16.1 ?
Answers
Answer:
0.043
Step-by-step explanation:
What is the solution to -3x+5?
Answers
Answer:
x = 5/3
Step-by-step explanation:
-3x+5
-5= -3x
-5/-3 = 5/3
What is the circumference of the following circle?
Use 3.14 for π and enter your answer as a decimal.
units
You might need: Calculator
r = 7
Answers
Answer:
\(14\pi\)
Step-by-step explanation:
\(C=(2\pi)(7)=14\pi\)
The circumference of a circle of radius 7 units is 43.96 units.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know the perimeter or the circumference of a circle is 2πr.
Given, A circle with radius 7 units.
Therefore the circumference of a circle of radius 7 units is,
= 2π(7) units.
= 14π units.
= 43.96.
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A quadrilateral is shown.
If the value of y is 2.7 feet, what is the area of the quadrilateral?
Answers
The area of the trapezoid is 25. 8 ft²
How to determine the areaWe can see from information given that the shape is a trapezoid.
Hence, the formula for calculating the area of a trapezoid is expressed as;
A = a + b/2 h
Such that the parameters of the given equation are;
A is the area of the trapezoida is the length of the parallel sideb is the length of the parallel sideh is the height of the trapezoidSubstitute the value, we have that;
Area = 2.7 + 5.9)/2 × 6
add the values, we have;
Area = 8. 6/2 ×6
Divide the values, we have;
Area = 25. 8 ft²
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Use the answer from the previous task to determine p(z < −2.1). 0.0179 0.5832 0.9821 1
Answers
The value of the z is −2.1 then the probability P(z < −2.1) is 0.0179. Then the correct option is A.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
If the value of the z is −2.1. Then the probability will be
P(z < −2.1) = 0.0179.
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Answer:
its a on edge 0.0179
Step-by-step explanation:
a+3+2a=-1+3a+4 how many solutions does this equation have
Answers
Answer: I think it is 1
Step-by-step explanation: desmos
Answer:
Infinite solutions
Step-by-step explanation: a is 0 and since 0 can be any number its infinite solutions. ALSO i got it right on i ready
Where will the hour hand of clock stops if it starts from 7 and goes through 3right angles
Answers
The hour hand that goes through 3 right angles and starts from 7 will stop at 4.
We can assume that the numbers in a clock are positioned in a circle. The angle in a circle is 360⁰, while the numbers in a clock is 12.
Hence, from each clock number to its consecutive number, the hour hand must travel 30⁰ as shown in the attached picture.
A right angle is equal to 90⁰. This is equal to 3 ⨉ 30⁰. In other words, to travel 90⁰ means to travel 3 hours.
3 right angles = 3 ⨉ 90⁰
= 3 ⨉ 3 hours
= 9 hours.
Thus, the hour hand will go to:
7 + 9 = 16
16 is equal to number 4 in a clock number.
Conclusion: If the hour hand start from 7, it will stop at clock number 4.
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What scale factor takes hexagon J to hexagon K?
Answers
Answer:
Step-by-step explanation:
boody boody
Bear Stearns' stock price closed at $98, $103, $58, $29, $4 over five successive weeks. What is the weekly standard deviation of the stock price calculated from this sample?
Answers
The weekly standard deviation of the stock price calculated from this sample is 42.957
Given info,
Bear Stearns' stock price closed at $98, $103, $58, $29, and $4 over five successive weeks,
To find the weekly standard deviation of the stock price calculated from this sample,
We use,
μ = (98 + 103 + 58 + 29 + 4) / 5
μ = 58.4
The mean of this sample is 58.4
The standard deviation is,
σ = \(\sqrt{\frac{(98-58.4)^2+(103-58.4)^2+(58 - 58.4)^2+(29-58.4)^2+(4-58.4)^2}{(5-1)} }\)
σ = √1845.3
σ = 42.957
Hence, the standard deviation is 42.957
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