Final answer:
Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.
Explanation:
Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.
Total hours in a weekend: 48 hours
Sleeping hours: 16 hours
Awake hours: 48 hours - 16 hours = 32 hours
Now, we convert 32 hours to a fraction of the weekend.
Awake fraction: 32 hours / 48 hours = 2/3 of the weekend
Next, we convert this fraction to a percentage.
Awake percentage: (2/3) × 100 = 66.67%
Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.
What is the name of a polygon that has four congruent sides and these angle
measures: 80°, 100°, 80°, 100°?
A. Hexagon
B. Trapezoid
C. Rhombus
D. Square
The polygon is rhombus
What is Polygon?In geometry, the definition of a polygon is given as a closed two-dimensional figure with three or more straight lines. The Greek word "Polygon" consists of Poly meaning "many" and gon meaning "angle". We see many different polygons around us. For example, the shape of a honeycomb is a hexagon. Each polygon is different in structure, they are categorized based on the number of sides and their properties. Thus, all polygons are closed plane shapes.
Identification and Naming of PolygonsIt is a closed shape, that is, there is no end that is left open in the shape. It ends and begins at the same point.It is a plane shape, that is, the shape is made of line segments or straight lines.It is a two-dimensional figure, that is, it has only two dimensions length and width. There is no depth or height to it.The shape must have three or more sides.The angles in the polygon may or may not be the same.The length of the sides of a polygon may or may not be the same.Given:
angle measures: 80°, 100°, 80°, 100°
As, the sum of angles is 360
= 80+ 80 +100 +100
= 160 +200= 360
Also, pair opposite angles are equal.
Hence, the given polygon is rhombus.
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Does the example showing 1/2 × 2/5 support a similar rule when multiplying a fraction by a fraction less than 1
Final answer:
The multiplication of fractions, such as 1/2 × 2/5, follows the principle of multiplying the numerators and denominators to get the product. This supports the rule that the product of any two fractions is the quotient of the products of their numerators and denominators, which also holds true for fractions less than 1.
Explanation:
The multiplication of fractions, regardless of whether the fractions are less than 1 or not, follows the same basic principles. When multiplying two fractions, you multiply the numerators together and the denominators together. For example, when you multiply 1/2 by 2/5, you multiply the numerators (1 and 2) to get 2, and the denominators (2 and 5) to get 10. The result is 2/10, which simplifies to 1/5. This process supports the general rule of fractional multiplication.
Similarly, when dealing with a fraction such as 1/2 and a fraction less than 1, the product will be less than the original fraction (1/2 in this case). This is because you are multiplying by a number that is less than the whole. For instance, if you multiply 1/2 by 1/3, you get 1/6, which is indeed less than 1/2.
In the context of fractional exponents, the exponent represents the root of the number. So, an exponent of 1/2 would mean the square root.
Land in a development is selling for $60,000 per acre. If Jack purchase 1 ¾ acres, how much will he pay?
Answer:
The total cost is calculated to be $105,000.
Step-by-step explanation:
Here,
The cost of per acre land= $60,000
Jack is willing to purchase= 1 ¾acres = [tex]\frac{4*1+3}{4} =\frac{7}{4}=1.75[/tex] acres
Then,
By unitary method,
The cost of one acre land is $60,000 .
The cost of 1.75 acres is = $[tex]1.75*60,000[/tex]
The total cost of land is =$105,000.
So, Jack has to pay $105,000 to purchase 1.75 acres of land.
To find the total cost of 1 ¾ acres of land purchased at $60,000 per acre, multiply the price by the number of acres. Jack will pay $105,000 for the land.
Jack purchased 1 ¾ acres of land at $60,000 per acre. To calculate the total cost, multiply the price per acre by the total number of acres:
Total Cost = Price per acre x Number of acres
Total Cost = $60,000 x 1.75 = $105,000
Kathy is paid a project fee of $70 plus $40 per hour. she wants to buy a new iPad and need $710. write an equation to represent how many hours(h) kathy needs to work to have the exact amount for the iPad
Answer:
70+40h=710
Step-by-step explanation:
log3 (7x - 1) = log2 (5x +17)
SOLVE.
Answer:
x=1.113317
Step-by-step explanation:
PLS HELP WILL GIVE 10 PTS + BRAINLIEST THX SO MUCH
There are (4^3)^2 ⋅ 4^0 strawberries on a farm. What is the total number of strawberries on the farm?
a. 4^6
b. 4^8
c. 4^9
d. 4^16
TY! :D
Answer:4^9
Step-by-step explanation:
What is -5/6 time -6/5
Answer:
1
Step-by-step explanation:
you are just multiplying by the reciprocal here which would make this equal to 1
Loc weighs 14 pounds. The HCP prescribes an IV infusion of 5% dextrose in 1/4 normal saline to be infused at 8mL/kg/hr. How many mL of the prescribed solution should the nurse infuse each hour?
After converting the patient's weight from pounds to kilograms, it is multiplied by the prescribed infusion rate to calculate that approximately 50.88 mL of the IV solution should be infused each hour.
The question involves calculating the volume of IV fluid to infuse per hour based on the weight of the patient and an ordered flow rate. Given that Loc weighs 14 pounds, we need to convert his weight to kilograms to match the units given in the infusion rate (8mL/kg/hr). There are 2.2 pounds in one kilogram.
To find Loc's weight in kilograms, we divide his weight in pounds by 2.2:
Weight in kilograms =Weight in pounds / 2.2 = 14 pounds / 2.2 = 6.36 kilograms (rounded to two decimal places)
Next, we multiply Loc's weight in kilograms by the prescribed infusion rate to determine the flow rate:
Infusion volume per hour =
Weight in kilograms × Infusion rate = 6.36 kg × 8 mL/kg/hr = 50.88 mL/hr (rounded to two decimal places)
Therefore, the nurse should infuse approximately 50.88 mL of the prescribed solution each hour.
How to solve 3 1/6 - 3/4 + 5/6
Answer: 3 1/2
Step-by-step explanation:
The weight (W) of an object is the product of its mass (m) in kilograms and g, the acceleration due to gravity in meters/second2. If the acceleration due to gravity is 9.8 meters/second2, find the corresponding weights for these masses.
mass in kilograms = {22.1, 33.5, 41.3, 59.2, 78}
The weights (in newtons) for the given masses are -
A. 2165.8, 3283.0, 4047.4, 5801.6, 7644.0 B. 216.58, 328.30, 404.74, 580.16, 764.4 C. 319, 433, 511, 690, 878 D. 31.9, 43.3, 51.1, 69, 87.8
Answer:
B
Step-by-step explanation:
[tex]22.8 \times 9.8 = 216.58 \\[/tex]
Fill in the blank.
5.5 lbs. =___ oz.
Answer: 80 ounces
Step-by-step explanation: lbs is the abbreviation for pounds and oz is the abbreviation for ounces.
To convert 5.5 pounds into ounces, first find the conversion factor for pounds and ounces which is shown below.
16 ounces = 1 pound
Next, notice that we're going from a larger unit, pounds, to a smaller unit, ounces. When we go from a larger unit to a smaller unit we multiply.
So here, we multiply 5.5 pounds times the conversion factor, 16 to get 88 ounces. This means that 5.5 pounds is equal to 88 ounces.
5.5 lbs is equal to 88 oz because 1 pound is equal to 16 ounces.
To convert pounds (lbs) to ounces (oz), you need to know that 1 pound is equal to 16 ounces.
1 pound=16 ounces.
Now we have to find out how many ounces are in 5.5 pounds.
To find this we have to multiply 5.5 by 16.
5.5 lbs×16 oz/lb
= 88 oz
Therefore, 5.5 lbs is equal to 88 oz.
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A spinner with 8 equal sections was spun 140 times. What is a reasonable prediction for the number of times the spinner will land on an even number? Show every step of your work
Answer:
If the spinner is spun 140 times then a reasonable prediction for the number of times the spinner will land on an even number = 0.5 [tex]\times[/tex] 140 = 70 times.
Step-by-step explanation:
The sections in the spinner are marked 1, 2, 3, 4, 5, 6, 7, 8
The even sections are 2, 4, 6, 8
There are 4 even sections and 4 odd sections among a total of eight sections.
Therefore the probability of the spinner landing on an even section is 1 / 2 or 0.5.
If the spinner is spun 140 times then a reasonable prediction for the number of times the spinner will land on an even number = 0.5 [tex]\times[/tex] 140 = 70 times.
PLEASE ANSWER ASAP! WILL MARK BRAINLIEST!!!! What is the percent of increase from 22.9 to 75.2? Round your answer to the nearest tenth of a percent and include a percent sign (%). (P.S. I have to have two people answer, though)
If gas costs $4 per gallon, how much will gas cost Sally per day just to get to and from Job A per day? per week? per year?
To find the cost of gas for Sally's commute, you would multiply the number of gallons she uses daily by the cost per gallon. Assuming a daily use of one gallon at $4 per gallon, Sally would spend $4 per day, $20 per week (5-day workweek), and $1,040 per year (52 workweeks). This does not account for variable factors such as days off or gas price changes.
Explanation:The student is asking about the cost of gasoline for commuting to and from a job. Since we do not have the exact distance Sally travels or the efficiency of her vehicle, we cannot compute the exact cost per day, week, or year. However, if we assume Sally uses one gallon of gas per day at a cost of $4 per gallon, here's how you calculate the costs:
Per day: Sally would spend $4 each day on gas.Per week: Assuming she works 5 days a week, Sally would spend 5 days x $4/day = $20 per week on gas.Per year: If Sally works 52 weeks a year, she would spend 52 weeks x $20/week = $1,040 per year on gas.These calculations are based on the premise of daily one-gallon gas usage and do not take into account vacations, days off, or possible fluctuations in gas prices.
Rabbits are released into the woods where there are no other rabbits of this species. The function f(t) can be used to model the population of this new species after t years. Below are four forms of the function that model this situation. Which form most clearly shows the monthly population growth?
Answer:
f(t)=15(1.0245)^12t
Step-by-step explanation:
It should be the first answer. Hope this helps:)
Final answer:
When modeling population growth, understanding functions like the logistic map and the Holling Type II functional response is crucial for accurate predictions of species dynamics.
Explanation:
Logistic Population Growth:
When modeling population growth with the logistic map, the most clear representation of monthly population growth is when the function includes a term that represents the rate of growth in relation to the existing population size. This is often seen as a term where the population in the next generation is a function of the population in the current generation multiplied by a constant, representing the fecundity of the species.
Holling Type II Functional Response:
In ecological situations, a commonly used model for predation is the Holling Type II functional response, where the rate of predation is described by a density-dependent function. This function accounts for increasing predation with higher prey density up to a saturation point, reflecting a more realistic portrayal of predator-prey dynamics.
Equilibrium and Growth Dynamics:
Equilibrium in population growth models can be explored using deterministic equations to find expectations, such as exponential growth when the birth rate exceeds the death rate. Understanding growth dynamics entails considering factors like carrying capacity, fecundity, and density-dependent functions to model population behaviors accurately.
In the diagram below lines H A and B C are parallel. If angle GEC = 135 degrees, what is angle angle HDF?
Answer:
The angle is 45
Step-by-step explanation:
I did this lol.
Assuming that p equals .60 and the sample size is 1,000, what is the probability of observing a sample proportion that is at least .64?
Answer:
Therefore the probability of observing a sample proportion that is at least 0.64 = P(Z ≥ 2.58) = 1 - P(Z < 2.58) = 1 - 0.9951 = 0.0049
Step-by-step explanation:
It is given that p = 0.6
This is also the mean of the sample
Therefore q = 1 - p = 1 - 0.6 = 0.4
The sample size, n = 1000
Therefore standard deviation of the sample = [tex]\sqrt{\frac{p\times q}{n} } = \sqrt{\frac{0.6\times 0.4}{1000} } = \sqrt{\frac{0.24}{1000} } = 0.0155[/tex]
Z value for the sample proportion that is at least 0.64 [tex]= \frac{0.64 - 0.6}{0.0155} = 2.58[/tex]
Therefore the probability of observing a sample proportion that is at least 0.64 = P(Z ≥ 2.58) = 1 - P(Z < 2.58) = 1 - 0.9951 = 0.0049
Final answer:
To find the probability of observing a sample proportion of at least .64 with a population proportion of .60 and a sample size of 1,000, we calculate the standard error, find the Z-score, and then use this score to determine the probability from the standard normal distribution.
Explanation:
The question asks for the probability of observing a sample proportion of at least .64, given a population proportion (p) of .60 and a sample size of 1,000. To solve this problem, we use the normal distribution model for proportions because the sample size is large enough.
First, we calculate the standard error (SE) of the sampling distribution using the formula SE = [tex]\sqrt{[(p(1-p))/n],[/tex]where p is the population proportion and n is the sample size.
In this case, SE = sqrt[(0.6*0.4)/1000]. Next, we find the Z-score, which tells us how many standard deviations the sample proportion (.64) is away from the population proportion (.60), using the formula Z = (P' - p)/SE, where P' is the sample proportion. Finally, we use the Z-score to find the probability from the standard normal distribution table.
the value of y varies directly as x and y is -15 when x is 5 what is the value of y when x=-3
Answer:
y = 9
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 15 when x = 5, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-15}{5}[/tex] = - 3
y = -3x ← equation of variation
When x = - 3, then
y = - 3(- 3) = 9
How many nickels are in one roll of $10
Answer:
40 Nickels
Step-by-step explanation:
3y + 6 divided by 2x
Answer:
3 (x^2 +1)/x
Step-by-step explanation:
To simplify the expression 3y + 6 divided by 2x, divide each term by 2x separately.
Explanation:The expression 3y + 6 divided by 2x can be simplified by dividing each term by 2x.
This can be done by dividing 3y by 2x and dividing 6 by 2x separately.
Simplifying further, the expression becomes:
(3y + 6)/2x
This is the simplified form of the given expression.
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How to write a decimal
write a number and then put a point after it and then add more numbers after
Answer:
you can put a point basically a period after a number for instance 10.7 is a decimal or 0.66
Step-by-step explanation:
1/4 is = to 0.25 in decimal form
What are the answers for a,b,c
Answer:
a=51
b=48
c=70
Step-by-step explanation:
C=180-110=70
a=180-110-19=51
b=180-70-62=48
What is 91.80 divided by 4 ????
Answer:
22.95
Step-by-step explanation:
91.80÷4=22.95
Therefore, 99.80÷4 is 22.95
what is 2.99 times 0.150 ?
Answer:
0.4485
Step-by-step explanation:
2.99 times 0.150 = 0.4485
25 multiplied by 3 algebraic expression
Answer:
25*3 or 25(3)
Step-by-step explanation:
Understanding arithmetic operations, like multiplication, and the order of operations, is essential in algebra. Parentheses dictate the order, as seen in '2 + (3 x 5)', resulting in 17. For algebraic manipulation, this understanding helps when working with variables and complex expressions like cubing exponentials or solving simultaneous equations.
Explanation:When faced with the phrase '25 multiplied by 3 algebraic expression', we might interpret this as the task of multiplying an algebraic expression by 25. Considering the examples provided, the manipulation of parentheses greatly influences the outcome of mathematical expressions.
The expression 2 + (3 x 5) includes parentheses, which indicate that multiplication should occur before addition, following the order of operations (PEMDAS/BODMAS). Here, the product of 3 and 5 is 15, and adding 2 results in 17.
However, if we were to apply the principle of algebraic multiplication to an unknown variable, say 'x', the expression would be 25x. If 'x' was the expression (2 + (3 x 5)), then 25x would be 25 times 17, or 425, after applying the order of operations within the parentheses.
Applying this method to simultaneous equations or Cubing of Exponentials, we can see the importance of understanding the principles of algebra and arithmetic operations.
When cubing exponentials, for example, you multiply the exponent by 3. This concept is crucial for solving more complex algebraic problems like those involving unknowns and linear equations.
What is (2x + 3y)^4?
Answer:
the answer is 8x+12y
Step-by-step explanation:
Sallys basketball team played 6 games . They scored 76 points in the first game , 88 points in each of the next two games , and 92 points in each of the following two games . The team scored 515 points altogether . Write an expression and calculate the number of points they scored in the last game .
The expression is 436 + x = 515
The number of points they scored in the last game is 79
Step-by-step explanation:
Sally's basketball team played 6 games
They scored 76 points in the first game88 points in each of the next two games92 points in each of the following two gamesThe team scored 515 points altogetherWe need to write an expression and calculate the number of points they scored in the last game
Assume that the score of the last game is x
∵ Sally's basketball team played 6 games
∵ The score of the first game is 76 points
∵ The score of the next two games is 88 points each
∴ The score of the 2nd game is 88 points and the score
of the 3rd game is 88 points
∵ The score of each following two games is 92 points
∴ The score of the 4th game is 92 points and the score
of the 5th game is 92 points
∵ The score of the 6th game is x points
- Add all of them to find the total score of the 6 games
∴ The total score = 76 + 88 + 88 + 92 + 92 + x
- Add the like terms
∴ The total score = 436 + x
∵ The team scored 515 points altogether
- Equate the expression of the total by 515
∴ 436 + x = 515
- To find the value of x subtract 436 from both sides
∴ x = 79
∴ The score of the last game is 79 points
The expression is 436 + x = 515
The number of points they scored in the last game is 79
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We formulate an expression to represent the overall score of Sally's basketball team and solve for the final game's score. The outcome of the expression found that Sally's team scored 79 points in the last game.
Explanation:The subject of this question is regarding basketball scoring, which falls under the subject of mathematics, specifically algebraic expressions. The first step in finding out how many points were scored in the last game by Sally's basketball team is to write an expression that represents the total points scored in all games. This could be done as follows:
76 (first game score) + 88*2 (second and third game score) + 92*2 (fourth and fifth game score) + X (sixth game score) = 515 (total score)
To resolve this expression, you first do the multiplications and then the additions. This results in the partial sum of 436 points for the first five games.
Next, subtract this partial sum from the total score (515-436), the outcome is 79.
Therefore, Sally's basketball team must have scored 79 points in the last game.
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How do simplify 4(x-3)+5(x-3)
Answer:
9x-27
Step-by-step explanation:
4(x-3)+5(x-3)=4x-12+5x-15=4x+5x-12-15=9x-27
Question 1
Find the simple interest earned if you invest $545 in a savings account that earns 3.25% for two years.
$34.67
$35.43
$36.00
$354.35
Answer:
Step-by-step explanation:
$545*3.25%*2years
=$35.43
A bag contains 2 red, 5 blue, and 3 green balls. A ball is chosen at random. What is the probability of not choosing a red ball?
Answer:
Step-by-step explanation: