PLEASE HELP ON 25! ASAP!!
Leo and Robyn have received projects' funding of $39 655. They decide to share the funding in the ratio of 2:3 (Leo:Robyn) for their own research. How much does each person receive?
can you please help me to solve this?
Leo and Robyn receive $15,862 and $23,793 respectively.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
Total funding= $39655.
Funding in the ratio = 2:3
If x is the part by which one person receive;
The equation is found as;
2x+3x=$39655.
5x=$39655.
x=7931
Leo gets;
2x=2×$7931= $15,862
Robyn gets;
3x=3×$7931== $23,793
Hence,Leo and Robyn receive $15,862 and $23,793 respectively.
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Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill. Let c represent the cost of each ticket. Which expression shows how much change Taylor will receive?
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The area of a circle is 78.5 cm2. What is the diameter of the circle?
for what values of x will the result of 5x be greater than 1
A restaurant took 1/10 of an hour to use 1/6 of a package of napkins at this rate how many hours would it take to use the entire package
The temperature at noon is 75 Fahrenheit. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.
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You have a stuck of Pennies. Without counting the pennies, how can you know if there is an odd or even number of them?
Alaina sugar cookie recipe calls for 2 1/4 cups of flour per batch if she wants to make 2 /3 a batch of cookies how much flour should she use
Answer:
Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.
Step-by-step explanation:
We are given the following information in the question:
Amount of flour required per batch of cookies =
[tex]2\displaystyle\frac{1}{4}\text{ cups}[/tex]
Number of batches of cookies Alaina wants to make = [tex]\displaystyle\frac{2}{3}[/tex]
Formula:
[tex]\text{Flour required} = \text{Flour required to make 1 batch of cookies}\times \text{Number of batches}\\\\=2 \displaystyle\frac{1}{4}\times \frac{2}{3}\\\\= \frac{9}{4}\times \frac{2}{3} = \frac{3}{2} = 1.5\text{ cups of flour}[/tex]
Hence, Alaina will require 1.5 cups of flour to make [tex]\frac{2}{3}[/tex] batches of cookies.
If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?
Answer:
C
Step-by-step explanation:
The person weighs 560 more on Mars than on the moon.
On comparing the weight of the individual on Earth, Mars and Moon, we concluded -
W[Earth] > W[Mars] > W[Moon]
What is Weight ?
Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -
W = m x g
where -
[m] is the mass of object
[g] is acceleration due to gravity
Given is a person who weighs 240 pounds on Earth.
The weight of the individual in kg m/s² (Newtons) on earth would be -
W[Earth] = 240 x 0.45359237 x 9.8 = 1066.84 N
The weight of the same individual on mars would be -
W[Mars] = 240 x 0.45359237 x 3.11 = 333.56 N
The weight of the same individual on moon would be -
W[Moon] = 240 x 0.45359237 x 1.625 = 176.90 N
Therefore, we can conclude that W[Earth] > W[Mars] > W[Moon].
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the average cost of regular gasoline in north carolina increased by 73% from 2006 to 2007. If the average cost of a gallon of gas in 2006 was %2.069, what was the average cost in 2007?
The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.
Explanation:The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,
First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.
Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $
3.57937
.
So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).
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A 6-pound bag of sugar contains 681 one-teaspoon servings and costs $4.49. A batch of muffins uses 1 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)
A 6-pound bag of sugar can make 14 whole batches of muffins and the cost for sugar per each batch is approximately $0.32.
Explanation:The subject of this question is in the field of Mathematics, specifically dealing with ratios and proportions. To determine the number of whole batches of muffins a bag of sugar can make, you will first need to find the number of cups in the bag. Given that 1 cup is equivalent to 48 teaspoons and the 6-pound bag of sugar contains 681 teaspoons, divide 681 by 48 to get roughly 14.1875. Since we cannot make a fraction of a batch, round down to 14, which is the number of whole batches we can make.
To find the cost per batch, divide the total cost ($4.49) by the number of batches (14) to get a per-batch cost of roughly $0.32.
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A model for the path of a toy rocket is given by h= -68t - 4.9t^2
How long does it take the rocket to hit the ground? How high was the rocket at 2 seconds? What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?
The duration for the rocket to hit the ground, its height at 2 seconds, and its maximum height can be calculated using the given quadratic equation for height over time. The maximum height is determined by finding the vertex of the parabola.
Explanation:To determine how long it takes the toy rocket to hit the ground, we need to set the equation for height h to zero and solve for time t. The model for the path of a toy rocket is given by [tex]h = -16t2 - 4.9t2[/tex]. To solve for t, we factor the right side:
[tex]h = -4.9t(16 + t)[/tex]
Since h = 0 when the rocket hits the ground, we set [tex]-4.9t(16 + t) = 0[/tex] and solve for t. There are two solutions: t = 0 (when the rocket is launched) and the positive solution which is when the rocket hits the ground. We disregard the solution t = 0 and solve for the positive solution to find out how long it takes to hit the ground.
To find out how high the rocket was at 2 seconds, we simply plug t = 2 into the original equation:
[tex]h = -16(2)2 - 4.9(2)2[/tex]
And solve for h to get the height at 2 seconds.
To determine the maximum height of the rocket, we need to find the vertex of the parabola represented by the given equation, which is a quadratic function of t. Since the coefficient in front of t2 is negative, the vertex will give us the maximum height. The time it takes to reach the maximum height is given by t = -b/2a, where a and b are coefficients from the equation [tex]h(t) = at2 + bt + c.[/tex] In this case, a = -4.9 and b = -68.
The calculations must be done to find the precise values for the time to hit the ground, the height at 2 seconds, and the maximum height of the rocket, along with the time it takes to reach it.
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Arrange these from smallest to largest, 1/6,0.29,23%,3/5,0.027
To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, convert them to decimals and then compare. The order from smallest to largest is: 0.027, 1/6 (0.166...), 23% (0.23), 0.29, and 3/5 (0.6).
Explanation:
To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, we first need to convert them all to the same format. We can convert percentages to decimals by dividing by 100 and fractions to decimals by division. Here are the conversions:
1/6 = 0.166...0.29 (already a decimal)23% = 0.233/5 = 0.60.027 (already a decimal)Now that they are all in decimal form, we can easily compare them:
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