As a result, the price of the ribbons is proportional to the number of party favours, with each Favour costing (3/4) dollars.
What are quantity and example?A measurable quality such as weight, length, time, volume, or pressure is referred to as quantity. A unit is a unit of measurement that is used to measure other quantities (for example, a gramme, a second, a liter, or a pascal are unit of the above quantities). Chemists employ a wide range of measurements.
The amount of ribbon required for n party favours is calculated as follows:
19n inches (since each party Favour requires 9 inches of ribbon)
As the price is stated in dollars per yard, we must first convert the amount of inches to yards before we can determine the ribbon's total cost. Since there are 36 inches in every yard, we can calculate the number of yards by dividing the total amount of inches by 36:
Total yards of ribbon = (9n) / 36 = (n) / 4
Thus, the following phrase represents the ribbon's overall cost:
3 × (n/4) = (3n) / 4 dollars
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Leonard is making a window in a wall that is shaped like a parallelogram.
What is the area of the window?
80 in²
96 in²
108 in²
512 in²
Answer:
96in²
Step-by-step explanation:
64+((4*8/2)*2)=96in²
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Therefore, the equations that represent circles with a diameter of 12 units and a center on the y-axis are x² + y² = 36 and (x + 6)² + y² = 36.
Which equations represent circles?The radius of a circle having a diameter of 12 units is 6 units. The center's x-coordinate is zero if its centre is on the y-axis.
To discover which equations describe circles with these characteristics, we may use the conventional version of the equation of a circle, (x - h)2 + (y - k)2 = r2, where (h, k) is the circle's centre and r is its radius.
When we enter h = 0 and r = 6, we obtain:
(x - 0)² + (y - k) (y - k)² = 6²\sx² + (y - k) (y - k)² = 36
As we are aware that the centre is on the y-axis, the center's y-coordinate is also 0. K thus equals 0.
With k = 0, we obtain:
x² + y² = 36\s(x - 4) (x - 4)² + y² = 36\s(x + 6)² + y² = 36
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fill in the blanks about determining if a property is sine,cosine, or both.
The functions are Identified as below
The domain is all real numbers for both
An x-intercept is (π, 0) for sin
The minimum value is -1 for both
An x-intercept is (π/2, 0) for cos
What are sin functions?Sin functions, or sine functions, are mathematical functions that describe a wave-like pattern that oscillates between a maximum and minimum value.
sin functions has x intercept of (π, 0), this can be checked by setting a calculator in radian and checking for sin π.This will give a value of of zero
For cos the x intercept is zero at π/2
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Answer the following payroll calculations
1. If you make $14 an hour and you work 32 hours a week, what is your gross pay for the week?
2. What is your net pay, if you have Federal taxes taken out at 10%, State taxes at 4.5% and FICA at 6%?
3. If you make $17 an hour and you work 40 hours a week, what is your gross pay for the week?
What is your net pay, if you have Federal taxes taken out at 10%, State taxes at
4.5% and FICA at 6%?
4. If you make $20 an hour and you work 40 hours a week, You also worked 5 hours of overtime, at time and a half, what is your gross pay for the week?
5. What is your net pay, if you have Federal taxes taken out at 14%, State taxes at 4.5% and FICA at 6%?
Answer:
1. Gross pay = hourly rate x hours worked
Gross pay = $14 x 32 = $448
2. Net pay = gross pay - deductions
Federal taxes = 10% of gross pay = 0.1 x $448 = $44.80
State taxes = 4.5% of gross pay = 0.045 x $448 = $20.16
FICA = 6% of gross pay = 0.06 x $448 = $26.88
Total deductions = $44.80 + $20.16 + $26.88 = $91.84
Net pay = $448 - $91.84 = $356.16
3. Gross pay = hourly rate x hours worked
Gross pay = $17 x 40 = $680
4. Regular pay = hourly rate x hours worked
Regular pay = $20 x 40 = $800
Overtime pay = (hourly rate x 1.5) x overtime hours
Overtime pay = ($20 x 1.5) x 5 = $150
Gross pay = regular pay + overtime pay
Gross pay = $800 + $150 = $950
5. Net pay = gross pay - deductions
Federal taxes = 14% of gross pay = 0.14 x $950 = $133
State taxes = 4.5% of gross pay = 0.045 x $950 = $42.75
FICA = 6% of gross pay = 0.06 x $950 = $57
Total deductions = $133 + $42.75 + $57 = $232.75
Net pay = $950 - $232.75 = $717.25
Step-by-step explanation:
What does "things" refer to? Choose the word that completes the sentence.
The store was crammed with racks of used clothes. "How
pretty!" Mama said with a sigh as she stopped to examine
some silky scarves and beaded necklaces. "But we're here to
find things for you girls, not me."
"But we're here to find
for you girls, not me."
necklaces
clothes
racks
scarves
Using a protractor and a ruler draw a triangle with a side length of 4 inches that is between angles of 50 and 65
Using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.
What are triangles?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. The total of a triangle's three sides is the perimeter of the triangle. The space a triangle occupies is known as its area. The area is obtained by taking half of the product of base and altitude.
Now we are asked to draw a triangle with a side length of 4 inches that is between angles of 50° and 65°.
First, let us mark the 50° angle.
Draw a straight line of 4 inches using the ruler as the base.
Keep the protractor on top at one of the ends of the line.
Mark the 50° angle.
Draw a straight line passing through the marked point using the ruler.
Now move the protractor to the other end of the line.
Mark the angle 65°.
Draw a straight line passing through the marked point using the ruler until it meets the 50° angle line.
This is a triangle with angles of 50 and 65 degrees.
Therefore, using a protractor and a ruler we drew a triangle with a side length of 4 inches that is between angles of 50 and 65 as shown in the figure.
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−
4
1
Choose 3 answers:
Choose 3 answers:
(Choice A)
−
1
−1minus, 1
A
−
1
−1minus, 1
(Choice B)
0
00
B
0
00
(Choice C)
−
3
4
−
4
3
minus, start fraction, 3, divided by, 4, end fraction
C
−
3
4
−
4
3
minus, start fraction, 3, divided by, 4, end fraction
(Choice D)
1
11
D
1
11
(Choice E)
1
1
4
1
4
1
1, start fraction, 1, divided by, 4, end fraction
E
1
1
4
1
4
1
The three fraction are:
A) -1/2 and 1/2
C) -3/4 and 4/3
E) 1/4
What is expression?
One or more variables or numbers are combined with one additional action to form an expression.
To answer this question, we need to evaluate the given expression:
-1/4
This is a fraction with a negative numerator and a positive denominator. It represents a number that is less than zero, but closer to zero than to negative one.
To choose three answers from the options provided, we need to look for fractions and numbers that are close in value to -1/4.
Here are three possible answers:
Choice A: -1/2 and 1/2. These are fractions that are larger in magnitude than -1/4 and represent numbers that are further away from zero.Choice C: -3/4 and 4/3. These are fractions that are larger in magnitude than -1/4 and represent numbers that are further away from zero.Choice E: 1/4. This is a fraction that is smaller in magnitude than -1/4 and represents a number that is closer to zero.Therefore, the three answers are:
A) -1/2 and 1/2
C) -3/4 and 4/3
E) 1/4
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Test scores for two classes are compared to determine which class exhibits a larger spread of scores.
Class A scores: {67, 78, 45, 98, 88, 86, 94, 85, 83, 88, 89, 69}
Class B scores: {68, 98, 87, 81, 92, 74, 100, 72, 65, 78, 93, 79}
Select from the drop-down menus to correctly complete the statements.
Question 3 options:
Class A
Class B
1.
According to the range for each set of scores, ____________ has a larger spread of scores.
2.
According to the interquartile range for each set of scores, ____________ has a larger spread of scores.
According to the range for each set of scores, Class A has a larger spread of scores. According to the interquartile range for each set of scores, Class B has a larger spread of scores.
Describe Interquartile Range?In statistics, the interquartile range (IQR) is a measure of variability that represents the spread of the middle 50% of a dataset. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Quartiles divide a dataset into four equal parts, with the first quartile representing the 25th percentile and the third quartile representing the 75th percentile.
The interquartile range is useful because it is less sensitive to outliers than the range, which is calculated by subtracting the minimum value from the maximum value. Outliers are extreme values that are significantly different from the other values in the dataset and can skew the results of statistical analyses.
According to the range for each set of scores, Class A has a larger spread of scores.According to the interquartile range for each set of scores, Class B has a larger spread of scores.To know more about Outliers visit:
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11.
Jolie’s time at work increases from 25 hours per week to 30 hours per week. By what percentage did the time at work per week increase?
Show your mathematical calculations below. Describe how you determined the percentage that Jolie's time at work increased.
Jolie's working time increased by 20 %
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, Jolie’s time at work increases from 25 hours per week to 30 hours per week, we need to find that by what percentage did the time at work per week increase,
Using the concept of percentage,
Initial working hours = 25 hours per week
Final working hours = 30 hours per week
Increased hour = 30 - 25 = 5 hours
Percentage increased = 5 / 25 x 100 = 20%
Hence, Jolie's working time increased by 20 %
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what is 1 inch longer than 7 3/4
Answer:
8 3/4
Step-by-step explanation:
1 + 7 3/4 = 8 3/4 bbbbbbbbbbbbbb
Write equation to represent the new function
Vertically stretched by a factor of 4, then translated 3 units right.
Answer:
f(x) /x-3
Step-by-step explanation:
In the equation - cd which of the four letters a, b, c or d cannot be zero, in- order that the equation is NOT undefined?
The equation -cd is always defined, regardless of the values of the variables c and d.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We are given that;
The equation cd
Now,
The equation -cd is always defined, regardless of the values of the variables c and d.
The expression -cd represents the product of two numbers, -c and d. Multiplication is a well-defined operation for all real numbers, including zero. so, neither c nor d need to be non-zero for the expression to be defined.
Therefore, the equation -cd is defined for all values of a, b, c, and d, including zero
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How do i simply the answer???
Using trigonometric identity, the exact value of sin(A + B) in simplest radical form is 17√5 / 25√13.
What is the exact value of sin(A + B)We can use the trigonometric identity for the sine of the sum of two angles:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
We know that Tan A = 8 and that angle A is in quadrant 1. We can use the fact that Tan A = sin(A)/cos(A) to find sin(A) and cos(A)
[tex]Tan A = sin(A)/cos(A)\\sin(A) = Tan A * cos(A) = 8 * (1 / \sqrt(1 + Tan^2 A)) = 8 / \sqrt(65)\\cos(A) = 1 / \sqrt(1 + Tan^2 A) = 1 / \sqrt(65)[/tex]
We also know that sin B = 1/sqrt(5). Since angle B is in quadrant 1, we can use the Pythagorean identity cos^2(B) + sin^2(B) = 1 to find cos(B):
[tex]cos(B) = \sqrt(1 - sin^2(B)) = \sqrt(1 - 1/5) = 2\sqrt(5) / 5[/tex]
Now we can substitute these values into the formula for sin(A + B):
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[tex](8 / \sqrt(65)) * (2\sqrt(5) / 5) + (1 / \sqrt(65)) * (1 / \sqrt(5)) = (16\sqrt(5) + 1) / (5\sqrt(325))[/tex]
We can simplify this fraction by multiplying the numerator and denominator by √5:
[tex]sin(A + B) = ((16\sqrt(5) + 1) / (5\sqrt(325))) * (\sqrt(5) / sqrt(5))\\ = (16\sqrt(5) + \sqrt(5)) / (25\sqrt(13))\\ = (17\sqrt(5)) / (25\sqrt(13))[/tex]
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a salesman allows a discount of 125% for each payment.calculate the actual amount the salesman pay for an article with a marked price of n950.00
The actual amount the salesman pays for an article with a marked price of N950.00 is N2,312.50.
What is amount?Amount is a word used to refer to a quantity or amount of something. It can also be used to refer to the total sum of money, goods, or services due for payment or exchange. It can also refer to the balance of money or goods due for payment or exchange. Amount is also used to refer to the size, extent, or magnitude of something.
To calculate this amount, we first need to calculate the amount of discount the salesman is offering. This is calculated by taking the marked price and multiplying it by the discount percentage: N950.00 x 125% = N1,187.50. Then, we subtract this discount amount from the marked price: N950.00 - N1,187.50 = N2,312.50. This is the actual amount the salesman pays for the article.
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Please help find the scale factor
Answer:
2.5
Step-by-step explanation:
for example, if you take two of the value of x's -- 5/2, it equals 2.5
2 x 2.5 = 5
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 8. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 38 and 54?
By answering the supplied question, we may infer that the response is standard deviation As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.
What is standard deviation?A statistic known as standard deviation may be used to indicate the variation or variability of a set of statistics. A low standard deviation means that the values tend to be closer to the established mean whereas a large standard deviation shows that the values are widely spread. The standard deviation serves as a gauge for how far the data are from the mean (or ). The data tend to cluster around the mean when the standard deviation is low, and are more scattered when the standard deviation is high. Standard deviation is a measurement of the data set's average variability. It displays the standard deviation of each score with respect to the mean.
The rule states approximately:
One standard deviation from the mean is shared by 68% of the requests.
The average request is within two standard deviations in 95% of cases.
The average request falls within three standard deviations in 99.7% of cases.
a mean three standard deviations away:
38 8 = 30 to 46 with one standard deviation
two standard deviations: 22 to 54 for 38 2(8)
38 3(8) = 14 to 62 for three standard deviations
We know that almost 95% of the requests fall within this range since we are interested in the proportion of requests between 38 and 54, which is within two standard deviations of the mean. As a result, 95% of requests for lightbulb replacements with a total number between 38 and 54 are in this range.
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Can you answer the question? TKSSS
Answer:
[tex]\frac{7}{2}[/tex] π
Step-by-step explanation:
To find the arc length of the partial circle, you have to find a fourth of the circumference
C = [tex]\frac{1}{4}[/tex] πd - Formula
C = [tex]\frac{1}{4}[/tex] 14π - Plug in values
C = [tex]\frac{14}{4}[/tex] π - Simplify/Solve
C = [tex]\frac{7}{2}[/tex] π
Problem 3
(x + 2)² + (y-2)² = 4
States the center and the radius of this problem and then graph the circle
The center of this circle is (-2,2) and its radius is 2.
It is required to find the center and radius of the circle.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
Given that: (x + 2)² + (y-2)² = 4
The equation of a circle in standard form is:
(x -a)² + (y-b)² = r²
The x-coordinate of the center is a the y-coordinate of the center is b
, and r is the radius.
In this case,
a=-2
b=2
and
r=2.
Hence, the center of this circle is (-2,2) and its radius is 2.
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How do you solve this
Answer:
y= -2
X= 7
[tex]using \: elimination \: method \\ x + 3y = 1 \\ - 3x - 3y = - 15 \\ add \: the \: two \: equations \\ - 2x = - 14 \\ divide \: both \: sides \: by \: 2 \\ x = 7 \\ replace \: x \: with \: 7 \: to \: find \: value \: of \: y \\ (7) + 3y = 1 \\ y = - 2[/tex]
James and Kaitlin are each factoring the trinomials shown. Which factor do their trinomials have in common?
The common factor of the trinomials x² - 7x - 18 and x² + 14x + 24 is (x + 2).
How to factor trinomial?The above polynomials are trinomials. A trinomial is a polynomial with three terms. Let's factor the trinomials and find what they have in common.
Hence,
James factors x² - 7x - 18.
x² - 7x - 18
x² + 2x - 9x - 18
x(x + 2) - 9(x + 2)
(x - 9)(x + 2)
Kaitlin factors x² + 14x + 24.
Hence,
x² + 14x + 24
x² + 2x + 12x + 24
x(x + 2)+ 12(x + 2)
(x +2)(x + 12)
Therefore, the common factor is (x + 2)
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yvette is making a blanket. she is going to the craft store for supplies. she wrote her measurements as decimals.
For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5.
What are fractions?A fractional number is any numerical value that is not a whole number. It is a number that has been divided into two or more equal parts, such as 1/2, 3/4, 5/8, and 7/16. Fractional numbers are also known as rational numbers.
Yvette needs 4.6 yards of fabric for her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 4.6/1 or 46/10.
Yvette also needs 1.83 feet of cording for the border of her blanket. She can convert this decimal measurement into a fraction by dividing the decimal by 1. This yields 1.83/1 or 183/100.
To make sure she has the right amount of materials, Yvette should use the numbers from the box to write each measurement as a fraction. For the 4.6 yards of fabric, she should use 9/2, and for the 1.83 feet of cording, she should use 9/5. By writing the measurements as fractions, Yvette can be sure to have the right amount of fabric and cording for her project.
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Question: 'Yvette is making blanket: She is going to the craft store for supplies. She wrote her measurements as decimals. Yvette needs 4.6 yards of fabric: She also needs 1.83 feet of _ cording for the border: Use numbers from the box to write each measurement as a fraction. yards of fabric: feet of cording: " 90'
On an analog clock, the hour hand rotates 30 degrees as the second hand rotates 21,600 degrees. Which equation correctly relates the variables defined below?
h: angular motion of the hour hand, in degrees
s: angular motion of the second hand, in degrees
A. s = 648h
B. s = 720h
C. s = 3,600h
D. s = 4,320
The angular motion of the second hand is 720 h , we also have to know the meaning of angular motion.
What is Angular Motion?The body moving along the curved path at a constant angular velocity can be used to describe the angular motion.
As there are 12 hours on a clock, every hour means 360/12 = 30° rotation for the hour hand.
so, for each hour the second hand moves 21600°.
that means 21600/360 = 60 full rotations.
that means one rotation of the second hand is 1 minute.
so, the second hand is truly a second hand (counting the seconds).
60 seconds in a minute (a full rotation by the second hand), that means each second corresponds to 360/60 = 6° rotation of the second hand.
[tex]the \ ratio \ is\ \frac{30}{21600} = \frac{3}{2160} = \frac{1}{720}[/tex]
that means for every degree the hour hand moves, the second hand does 2 full rotations (2×360°).
h = s×30/21600 = s/720
s = 720 h.
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What does this equal?
5th grade math. Please answer quickly.
Answer
The answer is 60
Step-by-step explanation:
The soccer team raised $45.50 for new equipment. They spent $42.75 on shin guards and shirts. How much money did they have left?
Answer: This is for college? lol the answer should be $2.75
Step-by-step explanation:
45.50-42.75= 2.75
Given the following table with selected values of f (x) and g(x), evaluate f (g(2)).
x –5 –4 –1 2 4 7
f (x) 0 2 7 –1 –6 –4
g(x) –8 –1 2 4 7 1
–4
2
4
–6
Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.
What is value?Value is the worth of something, based on its importance, usefulness, or desirability. It is something that has a desired quality, such as excellence, utility, or desirability. Value can be physical, such as a commodity, or intangible, such as respect, loyalty, or knowledge. Value is determined by both the individual and the society in which they live. Value can be assigned to both tangible and intangible things, such as a house, an education, or a friendship. Value is a subjective measure and can vary greatly from person to person.
The answer is -6. To evaluate f (g(2)), we need to determine what g(2) is first. Looking at the table, we can see that g(2) is 4. Therefore, we need to find the value of f(4). Looking at the table again, we can see that f(4) is -6. Thus, f (g(2)) is -6.
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which choice is equivalent to the product below? √5x • √x+3
Answer:
Below
Step-by-step explanation:
sqrt(5x) * sqrt(x+3) = sqrt ( 5x * x + 5x * 3) = sqrt ( 5x^2 + 15x)
Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights, at various times, over a five week period. The graphs generated from this data are shown below.
C. During the observation period, period A's plant grew twice as quickly as period B's.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.
Given, Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights
from the graph. at the start of the observation period, Period A's plant was as tall as Period B's. So, A and B are wrong.
during the observation period, Period A's plant grew twice as quickly as Period B's.
C is right, and D is wrong
So, the answer is C.
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Complete question:
Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra
The correct students are Nico, Aditi, and Erick.
What is equation?
An equation is a formula that uses the equals sign to connect two expressions to show that they are equal.
The correct approaches to solving the equation are those that lead to the correct solution. We can check which students are correct by solving the equation and seeing if their approach leads to the correct answer.
Two-fifths (5 + x) = 8
Multiplying both sides by 5 gives:
5/5 * two-fifths (5 + x) = 5/5 * 8
One-fifth (5 + x) = 8/5
One-fifth (5) + One-fifth x = 8/5
1 + One-fifth x = 8/5
Subtracting 1 from both sides gives:
One-fifth x = 3/5
Multiplying both sides by 5 gives:
x = 3
So the solution is x = 3.
From the given approaches, Nico, Aditi, and Erick are correct. Their approaches are equivalent to the correct approach:
Two-fifths (5 + x) = 8
(5/2) * two-fifths (5 + x) = (5/2) * 8
(5/2) * (5/5 + x/5) = 20/5
5/2 + (5/2)x/5 = 4
5/2 + x/2 = 4
x/2 = 3/2
x = 3
Raj and Sandra's approaches are not correct, as they made errors in their calculations. Therefore, the correct students are Nico, Aditi, and Erick.
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Use a power-reducing identity to rewrite the following expression below in terms containing only first powers of cosine. sin^4(x)
The expression in terms of cosine is (1 - cos^2(x))^2
How to rewrite the expression in terms of cosineFrom the question, we have the following parameters that can be used in our computation:
sin^4(x)
This can be expressed as
sin^4(x) = (sin^2(x))^2
As a general rule:
sin^2(x) = 1 - cos^2(x)
Using the above as a guide, we have the following equation
sin^4(x) = (1 - cos^2(x))^2
Hence, the solution is (1 - cos^2(x))^2
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80% of the class is on a field trip with 4 chaperones. If there were 28 students and chaperones, how many students would be there?
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The number of students who would be there are 24 students .
How to find the number of students ?The number of both students and chaperones on the trip are 28 in number. Again , this is both the chaperones and the students .
There are 4 chaperones according to the question . So to find the number of students on the field trip, the formula would be :
= Total number of both students and chaperones - Total number of chaperones
= 28 - 4
= 24 students
The number of students who would be on the field trip is 24 students .
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