Answer: So, what are you asking?
Step-by-step explanation:
Select the values that make the inequality v ≥ 3 true.
(Numbers written in order from least to greatest going across.)
Answer:
The inequality v ≥ 3 can be satisfied by any number greater than or equal to 3, such as 4, 5, 6.7 etc. The smallest value that will make the inequality true is 3 itself. As long as the number chosen for v is greater than or equal to three then it will satisfy the given equation and make it true.
Step-by-step explanation:
The values that make the inequality v ≥ -3 make true are -3, -2.99, -2.9, and 0.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the inequality v ≥ -3.
Here the inequality shows that the value is equal to greater than -3.
1. -11 < -3.
2. -8 < -3
3. -6 < -3
4. -4< -3
5. -3.1< 3
6. -3.01 < -3
7. -3.001 < -3
8. -3 = -3
9. -2.999 > -3
10. -2.99 > -3
11. -2.9 > -3
12. 0 > -3
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Solve for b and c. Select BOTH correct answers. Responses c = 8 c = 8 b = 4√3 b = 4√3 b = 8 b = 8 c = 4√3 c = 4√3
The values of b and c include the following:
c = 8
b = 4√3
How to determine the length of b?In order to determine the length of b, we would apply the law of tangent because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.
Tan(θ) = Opp/Adj
Where:
Adj represents the adjacent side of a right-angled triangle.Opp represents the opposite side of a right-angled triangle.θ represents the angle.Therefore, we have the following tangent trigonometric function:
Tan(θ) = Opp/Adj
Tan(30°) = 4/b
√3/3 = 4/b.
b = 4√3
From Pythagorean Theorem, the length of c is given by;
c² = (4√3)² + 4²
c² = 48 + 16
c = √64
c = 8
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The ratio of apples to pears at a farm stand is 5:3. What is the percentage of the fruit to apples?
Over what interval does f(x) = 2x
increase faster than g (X) =
¿x?
A. 1
B. x > 3
C.20
D. 1 > x > 21
If over what interval does f(x) = 2x increase faster than g (X): A. 1
What is over the interval?To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.
To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.
So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.
Therefore, the answer is A. 1.
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Use an array model on graph paper to solve and explain your solution to – Candy comes in 3 1/2pound bags. At a recent party, those attending ate 2 1/4 bags of candy. How many pounds of candy did they eat? Your solution should be in simplest form.
those attending the party ate 4 1/2 pounds of candy in total.
How to solve the question?
To solve this problem using an array model on graph paper, we can draw a rectangular array with 2 1/4 rows and 3 1/2 columns. Each cell in the array represents a 1/4 pound of candy. The total number of cells in the array will give us the total amount of candy eaten.
To start, we can divide each row into four equal parts to represent 1/4 pound of candy. We can also divide each column into two equal parts to represent 1/2 pound of candy. Then, we can shade in the cells that represent the amount of candy eaten.
Starting with the first row, we shade in two full rows and an additional half row, representing 2 1/2 bags of candy. Then, in the second row, we shade in two full columns and an additional half column, representing 2 1/4 bags of candy.
When we count the total number of shaded cells in the array, we see that there are 18 cells shaded. Each cell represents 1/4 pound of candy, so we can multiply 18 by 1/4 to get the total amount of candy eaten:
18 * 1/4 = 4 1/2 pounds
Therefore, those attending the party ate 4 1/2 pounds of candy in total.
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1. Write a statistical question about each situation. a. vacation destinations b. books
a. Statistical question about vacation destinations: What percentage of people who traveled for vacation last year went to a beach destination?
What is a qualitative and quantitative data?Data that is descriptive but not numerical is considered qualitative data. It is frequently used to describe the qualities or traits of things, people, or occasions. Qualitative data examples include hues, textures, tastes, and perspectives.
On the other hand, quantitative data are numerical data that can be measured and statistically analysed. It is frequently used to describe numbers or amounts of different things. Measurements like height, weight, temperature, and test results are examples of quantitative data.
a. Statistical question about vacation destinations: What percentage of people who traveled for vacation last year went to a beach destination?
b. Statistical question about books: What is the average number of books read per month by individuals who report reading as a favorite hobby?
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trish is breaking ground for a rose garden inher backyard. the garden will be a square with a side length of 7 meters. what will be the area of the rose garden?
Answer:
the area is 49m² this because for area you have to mutiple
Step-by-step explanation:
7×7=49
Joshua says that this picture represents 4.2 . Makayla says that this picture represents 42 . Use the drop-down menus to explain how either could be correct
according to the given statement both are having correct interpretation with or without decimal.
what is decimal?Both integer as well as non-integer amounts are frequently expressed using the decimal number system. The Hindu-Arabic number system has been expanded to include non-integer values. Decimal notation is the method used to represent numbers using the system of decimals. Either a whole number as well as a fractional number can be found in a decimal number. Decimal numbers that fall between integers are used to express complete and partially completed amounts numerically. A decimal point separates the whole number from the fractional portion of a decimal number. The little dot which appears among whole numbers as well as fractions is known as the decimal point.
given,
Joshua could be correct because the picture shows four full squares and two tenths of another square. This can be written as the decimal 4.2, where the 4 represents the four full squares and the 0.2 represents the two tenths of a square.
Makayla could also be correct because the picture can be interpreted as representing 42, but not as a decimal. Rather, each square could represent a value of 10, and the two smaller squares could represent a value of 1 each. This gives a total value of 42, as Makayla suggests.
So, both interpretations of the picture could be correct, depending on whether one is using a decimal or a whole-number system.
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Twenty points! Please help with my Precalc!!
Explain how the special angles are used to find the coordinates points around the Unit Circle and how you find the sine, cosine, and tangent values of the special angles using the Unit Circle.
Answer:
Step-by-step explanation:
The Unit Circle is a circle with a radius of 1 unit that is centered at the origin of a coordinate plane. It is often used in trigonometry to understand the relationships between angles, coordinates, and trigonometric functions such as sine, cosine, and tangent.
Special angles in trigonometry are angles that have commonly used values for their trigonometric functions. These special angles are 0 degrees, 30 degrees, 45 degrees, 60 degrees, and 90 degrees, and their corresponding angles in radians (which are the preferred units for angles in the Unit Circle). These angles have well-defined coordinates on the Unit Circle, and their sine, cosine, and tangent values can be easily determined.
To find the coordinates of points on the Unit Circle for special angles, we can use the following steps:
Start with the angle in radians. For example, if we are finding the coordinates for the angle of 30 degrees, we convert it to radians by multiplying by the conversion factor pi/180 (since there are pi radians in 180 degrees): 30 degrees * (pi/180) = pi/6 radians.
Identify the coordinates on the Unit Circle that correspond to the angle in radians. For example, for an angle of pi/6 radians, we know that it is located in the first quadrant of the Unit Circle, and the coordinates of the point where the angle intersects the Unit Circle are (cos(pi/6), sin(pi/6)).
Use the values of cosine and sine for the special angle from trigonometric tables or from memory. For example, the cosine of pi/6 radians is sqrt(3)/2, and the sine of pi/6 radians is 1/2.
Substitute the cosine and sine values into the coordinates of the Unit Circle. For example, for the angle of 30 degrees or pi/6 radians, the coordinates on the Unit Circle are (cos(pi/6), sin(pi/6)) = (sqrt(3)/2, 1/2).
Use the tangent function to find the tangent value of the special angle. The tangent function is defined as the ratio of sine to cosine: tan(theta) = sin(theta) / cos(theta). For example, for the angle of pi/6 radians, the tangent value is (sin(pi/6)) / (cos(pi/6)) = (1/2) / (sqrt(3)/2) = 1/sqrt(3).
In summary, special angles in trigonometry are used to determine the coordinates of points on the Unit Circle, and the sine, cosine, and tangent values of these special angles can be found using trigonometric tables or from memory, and then applied to the Unit Circle to determine the coordinates and trigonometric function values for these angles.
Expand and simplify 3(6y+5) — 2(4y — 1) pleaseee lots of points for answering
Answer:
10y + 17
Step-by-step explanation:
1) (given): 3(6y+5) — 2(4y — 1)
2) (distributive property): 18y + 15 - 8y + 2
3) (combine like terms): 10y + 17
at first, only 1/3 of the students who were going on the band trip were on the bus. after 21 students got on the bus 4/5 of the students who were going on the trip were on the bus. how many students were going on the band trip
The total number of students going on the band trip is 45.
how many students were going on the band trip?Let's denote the total number of students going on the band trip as "x". According to the given information:
Initially, only 1/3 of the students were on the bus, which means (1/3)x students were on the bus.
After 21 students got on the bus, the number of students on the bus increased to 4/5 of the total number of students going on the trip, which is (4/5)x students.
We can create an equation based on this information:
(1/3)x + 21 = (4/5)x
To solve for "x", we can follow these steps:
Subtract (1/3)x from both sides of the equation to isolate the "x" term on one side:
(1/3)x + 21 - (1/3)x = (4/5)x - (1/3)x
21 = (7/15)x
Multiply both sides of the equation by 15/7 to eliminate the fraction:
(15/7) * 21 = (15/7) * (7/15)x
45 = x
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The rule for the pattern is add one column. What are the next three terms? (3 points) An image of a pattern. Term one has six dots, term two has eight dots, and term three has ten dots. a 15, 20, 25 b 12, 14, 16 c 8, 10, 15 d 6, 8, 10
Answer:
b 12, 14, 16
Step-by-step explanation:
You want the next three terms of a sequence that starts 6, 8, 10, ....
RuleThe rule seems to be "add 2." If we continue to add 2 to each term, we find the next terms to be ...
10 +2 = 12
12 +2 = 14
14 +2 = 16
The next 3 terms are 12, 14, 16.
__
Additional comment
Without the figure, the idea of "add one column" is meaningless. Since answers are in terms of dot counts, it would be more meaningful to describe the pattern in terms of what happens to the dot count.
In which data set is the mean equal to the median?
Answer: PSD
Step-by-step explanation: perfectly symmetrical distribution
The First National Bank pays 8 1/2%?interest per year compounded annually . City Bank pays 8.25 % terest per year compounded daily . In 5 years , what is the difference in the amounts of interest aid on $ 500 by the two banks ? Which bank gave more interest ?
City Bank paid more interest than First National Bank over the 5-year period.
What is compound interest?
Compound interest is the interest earned on both the principal amount and the accumulated interest from previous periods.
We can use the formula for compound interest to calculate the amounts of interest earned by the two banks over 5 years:
Amount of interest with First National Bank = [tex]$P\left(1 + \frac{r}{n}\right)^{n\cdot t} - P$[/tex]
where P is the principal amount, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years.
Amount of interest with First National Bank
=[tex]$500\left(1 + \frac{0.085}{1}\right)^{1\times 5} - 500$[/tex]
= $235.15 (rounded to two decimal places)
Amount of interest with City Bank =[tex]$P\left(1 + \frac{r}{n}\right)^{n\cdot t} - P$[/tex]
where P is the principal amount, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year (365 in this case, since interest is compounded daily), and t is the number of years.
Amount of interest with City Bank
=[tex]$500\left(1 + \frac{0.0825}{365}\right)^{365\times 5} - 500$[/tex]
= $240.45 (rounded to two decimal places)
The difference in the amounts of interest paid by the two banks is:
$240.45 - $235.15 = $5.30
Therefore, City Bank paid more interest than First National Bank over the 5-year period.
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(b) If the population doubled in size over 26 months and the current population is 20,000, what will the population be 5 years from now?
The population will be approximately people.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
The population will be approximately 29,628 people 5 years from now. (Rounded to the nearest whole number)
To calculate the future population, we need to take into account the growth rate over time.
In this case, we know that the population doubled in size over 26 months and the current population is 20,000.
Let's break down the problem step by step:
Calculate the monthly growth rate:
Since the population doubled in size over 26 months, the monthly growth rate can be calculated as the 26th root of 2.
This is because if the population doubles in size over 26 months, each month the population grows by the 26th root of 2.
Monthly growth rate [tex]= 2^{(1/26) } \approx 1.027[/tex]
Calculate the number of months in 5 years:
Since there are 12 months in a year, the number of months in 5 years is [tex]5 \times 12 = 60[/tex] months.
Calculate the future population:
We start with the current population of 20,000 and apply the monthly growth rate for 60 months.
Future population = Current population [tex]\times[/tex] (Monthly growth rate)^{(Number of months)
Future population [tex]= 20,000 \times (1.027)^60 \approx 29,628.12[/tex]
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Stacy invests $55,000 into an account at 2.3% interest compounded monthly. Find the total value of the investment after 4 years.
In the formula, A is the amount after interest, P is the principal, r is interest rate in decimals, n is the amount of times the interest is compounded per year, and t is the amount of years.
Which equation can pair with x - y = -2 to create a consistent and dependent system?
6x + 2y = 15
O-3x + 3y = 6
O-8x-3y = 2
O4x - 4y = 6
To create a consistent and dependent system with the equation x - y = -2, we need to find another equation that has the same solution as this equation.
We can manipulate the equation x - y = -2 to get y = x + 2.
Which equation can pair with x - y = -2 to create a consistent and dependent system?Now, we can substitute y = x + 2 into each of the given equations to see which one creates a dependent system:
6x + 2y = 15 becomes 6x + 2(x + 2) = 15, which simplifies to 8x = 11. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.
-3x + 3y = 6 becomes -3x + 3(x + 2) = 6, which simplifies to 0 = 0. This equation has infinitely many solutions and pairs with x - y = -2 to create a dependent system.
-8x - 3y = 2 becomes -8x - 3(x + 2) = 2, which simplifies to -11x = -8. This equation has a unique solution, so it does not pair with x - y = -2 to create a dependent system.
4x - 4y = 6 becomes 4x - 4(x + 2) = 6, which simplifies to -4 = 6. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.
Therefore, the equation -3x + 3y = 6 can pair with x - y = -2 to create a consistent and dependent system.
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Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Count the number of elements in the event that no box contains a card with the same letter as the box. elements
There are 24 possible arrangements for the elements in the occurrences where there are no cards in the box with the same letter.
What is Permutation?Arrangement of objects in a specific order.
From the information provided:
Using the permutation method, the four cards that are arbitrarily placed in the four boxes can be represented as follows:
No box has a card that begins with the same letter as the box, which suggests that:
There are four different ways to arrange Card A in a box, three different ways to arrange Card B in a box, two methods to arrange Card C in a box, and one way to arrange Card D in a box.
Thus, the Permutation of the four cards can be calculated as:
[tex]4^p_4 = 4! = (4 * 3 * 2 * 1) = 24[/tex]
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Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
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find the value of x and y in simplest radical form. An explanation on how you got an answer would be appreciated.
EDIT: I got the answer, but I'll give points to anyone who wants them.
The value of the variables 'x' and 'y' will be 8√2 cm and 9√2 cm, respectively.
Given that:
Area of a small triangle, A = 72 square cm
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The equation is given as,
x² / (32)² = y² / (36)² = 72 / (1/2 x 32 x 36)
The value of 'x' is calculated as,
x² / (32)² = 72 / (1/2 x 32 x 36)
x = 8√2 cm
The value of 'y' is calculated as,
y² / (36)² = 72 / (1/2 x 32 x 36)
y = 9√2 cm
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Compare and contrast the primary differences between the Job costing and
Process costing by completing the following table:
Job Costing Process Costing
Most suitable manufacturing environment
Cost object used for accumulating costs
Primary document for tracking costs
Manufacturing cost categories
Flow of costs through accounts
We can compare and contrast the primary differences between the Job costing and Process costing processes as follows:
Job costing process:
Most suitable manufacturing environmentManufacturing cost categoriesPrimary document for tracking costsProcess costing:
Cost object used for accumulating costsFlow of costs through accountsHow to classify the cost typesWe can classify the cost types by understanding their usage in the accounting industry. Process costing is used for calculating the costs for mass-produced materials while job costing is used for calculating the cost for customized products.
Process costing is used for accumulating costs and to ascertain the flow of costs through accounts. Job costing is the main document for tracking costs.
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Assume that you are the president of your company and paid a year-end bonus according to the amount of net income earned during the year. When prices are rising, would you choose a FIFO or weighted average cost flow assumption? Explain, using an example to support your answer. Would your choice be the same if prices were falling?
If prices are rising, I would choose to use the FIFO (first-in, first-out) cost flow assumption. This is because under FIFO, the earliest inventory items purchased are assumed to be sold first, leaving the more recently purchased, and therefore higher-priced, items in inventory. As a result, the cost of goods sold (COGS) will be based on the lower, earlier purchase prices, resulting in higher net income and, therefore, a higher year-end bonus.
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A researcher collected sample data for 12 middle-aged women. The sample had a mean serum cholesterol
level (measured in milligrams per one hundred milliliters) of 192.4, with a standard deviation of 5.9.
Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 90%
confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit
and upper limit of the 90% confidence interval.
The lower limit is 189.331 milligrams per one hundred milliliters, and the upper limit is 195.469 milligrams per one hundred milliliters.
To find the 90% confidence interval for the mean serum cholesterol level of all middle-aged women, we can use the formula:
CI = x' ± t(α/2, n-1) × (s/√n)
where:
x' is the sample mean serum cholesterol level
t(α/2, n-1) is the critical t-value for a two-tailed test with a 90% confidence level and n-1 degrees of freedom
s is the sample standard deviation of the serum cholesterol level
n is the sample size
Substituting the given values, we get:
CI = 192.4 ± t(0.05, 11) × (5.9/√12)
To find the critical t-value, we can use a t-distribution table or calculator. For a two-tailed test with 11 degrees of freedom and a 90% confidence level, the critical t-value is approximately 1.796.
Substituting this value and simplifying, we get:
CI = 192.4 ± 1.796 × 1.707
CI = 192.4 ± 3.069
Therefore, the 90% confidence interval for the mean serum cholesterol level of all middle-aged women is (189.331, 195.469).
This means that we can be 90% confident that the true mean serum cholesterol level for all middle-aged women falls within this interval.
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Laurel's W-2 form reported total Medicare wages as $100,750. She contributed $30 per weekly paycheck to her FSA and $75 per weekly paycheck to her retirement plan. She received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600. What is Laurel's taxable income?
If Laurel received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600, then Laurel's taxable income is calculated as $98,580.
What is taxable income?Taxable income refers to the base upon which an income tax system imposes tax.
We deduct the following;
Wages reported on W-2 = $100,750
Interest income reported on 1099= $690
Consulting income reported on 1099= $2,600
Therefore, her total income = $100,750 + $690 + $2,600 = $104,040
Laurel's allowable deductions include:
FSA contributions: $30 per week x 52 weeks = $1,560
Retirement plan contributions: $75 per week x 52 weeks = $3,900
Total deductions = $1,560 + $3,900 = $5,460
Laurel's taxable income is found as
= Total income - Total deductions
= $104,040 - $5,460
= $98,580
In conclusion, Laurel's taxable income is $98,580.
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A coordinator will select five songs from a list of 11 songs to compose in events, musical entertainment lineup. How many different lineups are possible?
There are 462 different possible lineups of 5 songs that can be composed from the given list of 11 songs.
How to determine the number of different musical entertainment ?We need to use the idea of combinations to figure out how many different lineups of musical entertainment can be made. A way to select objects from a larger set without regard to their order is called a combination.
In this problem, we have to choose five songs from an 11-song list. We would like to know how many different ways there are for us to select five songs from the eleven that are available, where the order of the songs in the lineup is irrelevant. We can use the combination formula to solve this.:
n choose k = n! / (k! * (n - k)!)
where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to and including that number.
In this case, we have 11 songs to choose from and we want to choose 5 songs. So we can plug these values into the formula:
11 choose 5 = 11! / (5! * (11 - 5)!)
= (11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)
= 11,880 / 120
= 462
Consequently, there are 462 unique potential setups of 5 tunes that can be created from the given rundown of 11 melodies.
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Find the surface area
Round to the nearest tenth
The total surface area of the given cone is 628 in².
What is the area of the cone?
The overall area a cone occupies in a three-dimensional space is referred to as its total surface area. It is equivalent to the total of the cone's curved surface and base. Total Surface Area (TSA) = CSA + Area of Circular Base is the formula for calculating a cone's total surface area.
Given :
Slant height of the cone = 17 inches
Diameter of the cone = 16 inches
Radius of the cone = Diameter/2
= 16/2
= 8 inches
Total Surface area of the cone = πr(l+r)
= π*8(17+8)
= 8π* 25
= 200π
= 628 in².
Hence, the total surface area of the given cone is 628 in².
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A right triangular pyramid has a height of 14 yards. Its base has a leg that is 8 yd. The volume of the pyramid is 168 cubic yd. The other leg of the base is ___ yd.
Therefore , the solution of the given problem of volume comes out to be the other leg of the right triangular pyramid's base is 12 yards long.
What exactly does volume mean?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.
Here,
Let's use "x" yards to represent the unknown leg of the right triangular pyramid's base.
A pyramid's volume can be calculated using the following equation: => => Volume = (1/3) * Base Area * Height
In this instance, the height of the pyramid is 14 yards, and its base is a right triangle with legs that are 8 yards and 'x' yards in length.
Consequently, we can formulate the equation for the pyramid's volume as follows:
=> 168 = (1/3) * (8 * x) * 14
The simplified formula gives us 168 = (4/3) * 14 * x.
We may find "x" by dividing both sides of the equation by
=> [(4/3)*14]: 168 / [(4/3)*14] = x.
=> x = 12
Therefore, the other leg of the right triangular pyramid's base is 12 yards long.
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Schuyler purchases 0.4 pound of
almonds that cost $9.95 per pound.
She also purchases 0.6 pound of
walnuts that cost $14.95 per pound. If
she gives the cashier $20, how much
change will she receive?
By adding the formed equations, Schuyler will receive $7.05 in change.
What is addition?
Addition is a basic arithmetic operation in mathematics that involves combining two or more numbers to form a sum.
To find the total cost of the almonds and walnuts, we need to calculate the cost of each separately and then add them together.
The cost of 0.4 pound of almonds is:
0.4 x $9.95 = $3.98
The cost of 0.6 pound of walnuts is:
0.6 x $14.95 = $8.97
The total cost of the almonds and walnuts is:
$3.98 + $8.97 = $12.95
Schuyler gives the cashier $20, so the amount of change she will receive is:
$20 - $12.95 = $7.05
Therefore, Schuyler will receive $7.05 in change.
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There are 1176 students in a school. The number of girls is 28 less than the
number of boys. How many boys are there in the school?
Answer:
Let's assume the number of boys in the school as "B".
Then, the number of girls can be expressed as "B - 28".
According to the problem, the total number of students is 1176. Therefore, we can write an equation as follows:
B + (B - 28) = 1176
Simplifying the above equation, we get:
2B - 28 = 1176
Adding 28 to both sides, we get:
2B = 1176 + 28
2B = 1204
Dividing both sides by 2, we get:
B = 602
Therefore, there are 602 boys in the school.
5. Patty starts at the bottom of a Ferris wheel with a radius of 8 m. The Ferris wheel rotates so Patty is now at the top. Arlene is on a merry-go-round with a radius of 6 m. The merry-go-round moves two- thirds of the way around its axle. Who travels farther? How much farther to the nearest tenth of a metre ?
Answer is down below!
Step-by-step explanation:
This is of the form h = a + b cos ct, where: a = 40 m. This is the height of the axle of the Ferris wheel. b = -30 m. The magnitude of this number is the radius of the wheel.