1. The total amount of candy is 1,080 pieces of candy.
2. Each student would get 72 pieces of candy.
Answer:
each student will get 5 pieces of candy
Step-by-step explanation:
20+15+25+12 =72
72 divided by 15 = 5
right cone has a base with diameter 16 units.
me volume of the cone is 320 cubic units.
What is the length of a segment drawn from the apex to the edge of the circular base?
Answer:
The length of the segment is 8 units.
We can use the formula for the volume of a cone to calculate the height of the cone:
V = (1/3)πr^2h
320 = (1/3)π(8^2)h
h = 320/(1/3)(π)(64)
h = 8 units
Each week for 6 weeks, Ezra bought 2 DVDs: a reduced price DVD for $5.50 and a regular price DVD for $9.00. Select all the expressions that represent the total amount he spent on DVDs
Answer:
Total amount spend on DVD = $87
Step-by-step explanation:
Given:
Total number of week = 6 week
Number of DVD purchase per week = 2
Cost of reduced price DVD = $5.50
Cost of regular price DVD = $9
Find:
Total amount spend on DVD
Computation:
Total amount spend each week = Cost of 1 reduced price DVD + Cost of 1 regular price DVD
Total amount spend each week = 5.5 + 9
Total amount spend each week = $14.5
Total amount spend on DVD = Total number of week x Total amount spend each week
Total amount spend on DVD = 6 x 14.5
Total amount spend on DVD = $87
Find the value of x and y.
help me out ASAP!!
Step-by-step explanation:
13x + 15 = 19x - 9 ( being opposite sides of parallelogram)
19x - 13x = 15 + 9
6x = 24
x = 24 / 6
x = 4
4y + 7° + 10y - 37° = 180° {being co-interior angles }
14y = 180° - 7° + 37°
14y = 210°
y = 210°/ 14
y = 15°
Hope it will help :)
Write 21 9/1000 in decimal form
Answer:
the answer in decimal form is 21.009
Answer:
= 21.009
Step-by-step explanation:
First change it to an improper fraction
= 1000 x 21 + 9
= 21009/ 1000
You then divide it by 1000 without leaving a remainder.
= 21.009
-[-/7.14 Points] DETAILS LARPCALC11 6.4.036. Find the angle (in radians) between the vectors. (Round your answer to two decimal places.) u = 4i - 6j v = 5i + 4j 0 =
4. [-/7.14 Points] DETAILS LARPCAL
The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.
To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:
Given:
u = 4i - 6j
v = 5i + 4j
Step 1: Calculate the dot product of u and v.
The dot product of two vectors u and v is given by:
u · v = |u| |v| cosθ
where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.
To calculate the dot product, we multiply the corresponding components of u and v and sum them:
u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4
Step 2: Calculate the magnitudes of vectors u and v.
The magnitude of a vector is given by:
|u| = √(u₁² + u₂²)
For vector u:
|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21
For vector v:
|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40
Step 3: Calculate the angle θ.
Using the dot product formula mentioned earlier, we have:
-4 = (7.21)(6.40)cosθ
Solving for cosθ:
cosθ = -4 / (7.21 * 6.40) ≈ -0.086
To find θ, we can take the inverse cosine (arccos) of cosθ:
θ ≈ arccos(-0.086) ≈ 1.66 radians
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Maria purchased 1,000 shares of stock for $35.50 per share in 2003.
share. Express her capital gain
She sold them in 2007 for $55.10 per
as a percent, rounded to the nearest tenth of a percent.
Maria's capital gain is 55.2%.
Here, we are given that Maria purchased 1,000 shares of stock for $35.50 per share in 2003.
Thus, the total cost price of these shares = 1000 × 35.5
= $35500
In 2007, she sold all of the stocks for $55.10 per share
Thus, the total selling price of these shares = 1000 × 55.1
= $55100
Now, absolute gain = selling price - cost price
Here, Maria's absolute gain will be-
= 55100 - 35500
= 19600
Now, her percentage gain will be given by-
Gain % = absolute gain/ initial value × 100
= 19600/35500 × 100
= 55.2
Thus, Maria's capital gain is 55.2%.
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How do i rearrange the following equation to slope intercept form?
-8y+6x=-48
Answer:
\(y=\frac{3}{4} x+6\)
Step-by-step explanation:
Slope intercept form is y=mx+b.
Subtract 6x from both sides.
-8y=-6x-48
Then, simplify by dividing both sides by -8 and simplifying the fractions.
You end up with:
\(y=\frac{3}{4} x+6\)
What is the probability that a five-card poker hand does not contain the queen of hearts?
The probability that a five-card poker hand does not contain the queen of hearts is 47/52.
We have been given that,
Total card to choose = 5
Total cards in a deck = 52
We need to find the probability that a five-card poker hand does not contain the queen of hearts.
The total ways of choosing 5 cards from a deck of 52 cards = \(^{52}C_5\)
The number of queens of hearts in a deck = 1
The number of cards excluding queens of hearts = 52 - 1
= 51
The total ways of choosing 5 cards from 51 cards = \(^{51}C_5\)
Now we find the required probability.
\(\Rightarrow P= ^{51}C_5 \times ^{52}C_5\\\\\Rightarrow P=\frac{51!}{5!(51-5)!} ~\times \frac{52!}{5!(52-5)!}\\\\\Rightarrow P=\frac{47}{52}\)
Therefore, the probability that a five-card poker hand does not contain the queen of hearts is 47/52.
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as An incentive to sell more clothing each clerk at the sporting goods store is given a 5% commission on their sales each month on top of their hourly wage. How much commission will an employee earn if they sell $3500 worth of clothes
Answer: 175.00
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
This diagram shows the relationship of the subsets of the real number system. Which of the following sets contain only rational numbers that are integers?
Answer:
The answer is the second one
Step-by-step explanation:
First you go and you order each answer into the correct categories until every one of them are ordered. If they dont fit correctly then you just go onto brainly and report someone elses answer for no reason. i hope this helped :D
During the New Year Festive Bonanza, the price of a jacket was reduced by 30%. Find the original price of the jacket when it cost $280 in the sale.
Answer:
$400
Step-by-step explanation:
The original price of the jacket = 100%
If the jacket was reduced by 30%, then the discounted price of the jacket = 100% - 30% = 70%
Therefore, $280 = 70% of the original price.
70% = 70/100 as a ratio
Using ratios, and letting \(x\) be the original price:
280/\(x\) = 70/100
Cross multiply: 280 x 100 = 70 x \(x\)
28000 = 70\(x\)
Divide both sides by 70: 400 = \(x\)
Therefore, the original price of the jacket is $400
Alternatively, divide 280 by 70 to get the cost per 1%. Then multiply this by 100 to get the original price (100%):
(280 ÷ 70) x 100 = 400
a 95onfidence interval for the ages of six consecutive presidents at their inaugurations is about (,). either interpret the interval or explain why it should not be interpreted_____________________.
Without that information, I cannot interpret or evaluate the validity of the interval. However, I can provide general guidance on how to interpret a confidence interval.
A 95% confidence interval for a parameter (such as the mean age of the six presidents at their inaugurations) is an interval estimate calculated from sample data that has an associated probability of capturing the true population parameter. Specifically, it means that if we were to repeat the sampling process many times and construct 95% confidence intervals each time, approximately 95% of those intervals would contain the true population parameter.
Therefore, if the confidence interval you provided was calculated correctly and is valid, it means that we are 95% confident that the true mean age of the six presidents at their inaugurations falls within the given interval. However, if there are any issues with the data or the assumptions made in calculating the interval, it may not be appropriate to interpret it in this way.
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How many steel rods are in a staircase frame with 12 steps?
how do you determine if a variable confounds an association?
A confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.
To determine if a variable confounds an association, follow these steps:
1. Identify the exposure, outcome, and potential confounding variable: Determine which variables are your exposure (independent variable), outcome (dependent variable), and the potential confounding variable.
2. Assess the relationship: Evaluate if the potential confounding variable is associated with both the exposure and the outcome. If it is, it could be a confounder.
3. Control for the confounding variable: Adjust your statistical analysis to account for the potential confounding variable, either by stratification or using multivariable regression techniques.
4. Compare the results: Analyze the strength and direction of the association between the exposure and outcome before and after controlling for the confounding variable. If the association changes significantly, it's likely that the variable is a confounder.
Remember that a confounding variable must be associated with both the exposure and the outcome, and it should not be an intermediate step in the causal pathway between the exposure and outcome.
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Rectangle RECT is inscribed as shown. Find the area of the circle
The area of the circle in the given figure is (π(a² + b²))/2 square units.
Given the figure shows a rectangle RECT which is inscribed in circle with center O.
The length is = ES = a
The width is = ST = b
And diameter is ET.
The triangle EST is a right angled triangle with right angle at S.
ET is Hypotenuse and ES and ST be base and perpendicular respectively.
So by Pythagoras Theorem,
ET² = ES² + ST² = a² + b²
ET = √(a² + b²)
So diameter of the circle = √(a² + b²)
So the radius of the circle (r) = (√(a² + b²))/2
Thus the area of the circle is = 2π((√(a² + b²))/2)² = (π(a² + b²))/2 square units.
Hence the area of the circle is (π(a² + b²))/2 square units.
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The question is incomplete. The complete question will be -
"Rectangle RECT is inscribed as shown. Find the area of the circle."
jeremy owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets. how many different outfits can he wear to school if he must wear one of each item?
The average Jeremy can create 24 different outfits for school by combining 1 pair of pants, 1 shirt, 1 tie, and 1 jacket.
Jeremy can mix and match his items to create different outfits for school. Since he owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets, he can create 24 different outfit combinations. For each outfit, he must wear 1 pair of pants, 1 shirt, 1 tie, and 1 jacket. He can mix and match any of the items he owns to create a variety of looks. For example, he could wear a blue shirt, grey pants, and a striped tie with a black jacket. Or, he could wear a white shirt, black pants, a polka-dotted tie, and a brown jacket. By combining his items in different ways, he can create 24 different outfits for school.
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Let us assume that you started a job on 08/21/2019. You graduated on 05/20/2022. How many days have you been working at the job as a student?
Group of answer choices
a. 1215
b. 1287
c. 905
d. 1003
I have been working 1004 days at the job as a student
They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, and division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:Start = 08/21/2019Graduated = 05/20/2022Days =?Calculate the days from 08/21/2019 to 08/21/2022, we get:
Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)
Days 1 = 3 years * (365 days/1 year)
Days 1 = 1095 days
Calculate the days from 05/21/2019 to 08/21/2019, we get:
Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)
Days 2 = 3 months * (30 days / 1 month)
Days 2 = 90 days
Calculating the days from 05/20/2019 to 05/21/2019, we get:
Days 3 = 05/21/2019 - 05/20/2019
Days 3 = 1 day
Calculate the total days from 08/21/2019 to 05/20/2022, we get:
Total days = Days 1 - days 2 - days 3
Total days = 1095 days - 90 days - 1 day
Total days = 1004 days
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John has 4 yards of fabric. Jane has 120 inches of fabric. Who has more fabric? How much more? divied
Answer:
John has more fabric.
Step-by-step explanation:
There are 36 inches in one yard so I multiplied 36x4 and got 144 inches, this is more than 120 inches.
Answer:
John has more fabric
24 more inches
Step-by-step explanation:
Let's convert John's 4 yards of fabric into inches so we can compare with the same units
1 yard = 3 feet
So 4 yards are equivalent to 12 feet
1 feet = 12 inches
Therefore 12 feet has 144 inches
John has 144 inches of fabric and Jane has 120 inches of fabric
144>120
John has more
How much more?
We can subtract to find the difference: 144-120=24
24 more inches of fabric
if profit is ppersent and cost peice is cp qhat will ne the selling price
Answer:
selling price will be sp--------------------------
5 − 2x + 2 = 12
work below hurry!!
Step-by-step explanation:
5-2x+2=12 given
-2x+7=12 combine like terms
-2x=5 subtraction property
X=-2.5 or 5/2 ANSWER
Function 1 is represented by the equation y = -4/3x-2, and function 2 is represented by the
graph below.
FUNCTION 2
For which of the functions are all the output values less than -1?
A. Both functions
B. Only function 1
C. Only function 2
D. Neither functions
Find the perimeter of a rectangular lot if the length is 2x-5 meters while the width is 3x+6 meters.
A. 10x + 2 meters
B. 10x + 22 meters
C. 10x meters
D. 12x meters
Please help this is urgent!! Will mark brainliest!
Answer:
C
Step-by-step explanation:
2·π·6·10+2·π·6^2
Answer:
602.88 in^2
Step-by-step explanation:
A=2πrh+2πr^2
A=2(3.14)(6)(10)+2(3.14)(6^2)
A=376.8+226.08
A=602.88
Use the associative property of addition to rewrite the expression. Do not calculate.
(3 + 7) + 6
\((3 + 7) + 6 = 3 + (7 + 6)\)
What is the value of [3(−2)−7]÷(1.5+0.5)?
Answer: -13/2
Step-by-step explanation: hope this helps plz mark as brainliest:)
What is the sum of x³ + 5x²-7 and
5x²-3x²+2x-1?
Danielle's Work:
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
x³ + 5x³+5x²-3x²+2x-7-1
6x + 2x + 2x-8
Danielle's Mistake:
Correct Work:
What should she do in the future to
prevent this error?
To avoid error, we must focus on the exponent part and the like terms. Correct Work: 6x³ + 4x- 8
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have to find the sum of x³ + 5x²-7 and 5x²-3x²+2x-1
Danielle's Work:
(x³ + 5x² - 7) + (5x³ - 3x² + 2x - 1)
x³ + 5x³+5x²-3x²+2x-7-1
6x + 2x + 2x- 8
Danielle's Mistake:
In the last step the first term has cubic power.
We can solve it further as the like terms are present in the solution.
Correct Work:
6x³ + 2x + 2x- 8
6x³ + 4x- 8
To avoid error, we must focus on the exponent part and the like terms.
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the house was in the shape of an __________ , eight separate bedrooms on each side
The house was in the shape of an octagon, with eight separate bedrooms on each side.
The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.
The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.
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I need help with this algebra 2. If you don’t know please don’t respond .
Required true statements are B, C, D, G, H, I, L, M.
What is factor?
In mathematics, factors refer to the numbers that can be multiplied together to obtain a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
Based on the given factors, we can conclude that:
f(x) has a factor of 3, which means that 3 is a root/solution of f(x).
f(x) has a factor of (2x-1), which means that 2x-1=0 or x=1/2 is a root/solution of f(x).
f(x) has a factor of (x+5), which means that x+5=0 or x=-5 is a root/solution of f(x).
Using these facts, we can determine which statements are true:
A) -1/2 is not a root/solution of f(x). (False)
B) We can check if this expression is equivalent to f(x) by factoring it:
6x² - 33x - 15 = 3(2x² - 11x - 5) = 3(x - 5)(2x + 1).
This shows that f(x) has factors of 3, (2x-1) and (x+5), so this statement is true.
C) -5 is a root/solution of f(x). (True)
D) 3 is a root/solution of f(x). (True)
E) We can check if this expression is equivalent to f(x) by factoring it:
2x²+9x-5 = (2x - 1)(x + 5), which is not the same as the factors given for f(x), so this statement is false.
F) 0 is not necessarily a root/solution of f(x), since the factors given do not guarantee that f(x) intersects the x-axis at 0. (False)
G) We can check if this expression is equivalent to f(x) by factoring it:
6x²+27x-15 = 3(2x²+9x-5) = 3(2x-1)(x+5), which shows that f(x) has the same factors as this expression, so this statement is true.
H) 1/2 is a root/solution of f(x). (True)
I) 5 is a root/solution of f(x). (True)
J) We can check if this expression is equivalent to f(x) by factoring it:
2x²-9x-5 = (2x + 1)(x - 5), which is not the same as the factors given for f(x), so this statement is false.
K) -3 is not necessarily a root/solution of f(x), since the factors given do not guarantee that f(x) intersects the x-axis at -3. (False)
L) To find the x-intercepts of f(x), we need to set f(x) equal to zero and solve for x:
f(x) = 3(x + 5)(2x - 1) = 0
This equation has roots of x=-5 and x=1/2, which means that the x-intercepts of f(x) are (-5, 0) and (1/2, 0). So, this statement is true.
M) To find the x-intercepts of f(x), we need to set f(x) equal to zero and solve for x:
f(x) = 3(x + 5)(2x - 1) = 0
This equation has roots of x=-5 and x=1/2, which means that the x-intercepts of f(x) are (-5, 0) and (1/2, 0).
So, this statement is true.
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one third of the people at a banquet ordered ice cream for dessert. the rest ordered pie. one forth of those requesting pie ordered Apple pie. Of 180 people attended the Bouquet, how many orders apple pie
Answer:
30 people ordered apple pie
Step-by-step explanation:
one third of the total people:
180/3 = 60
subtract the people who ordered ice cream, so that we have the total people who ordered pie:
180-60= 120
divide the total people by 4 to find the people who ordered apple pie
120/4 = 30
30 people ordered apple pie
The larger of two numbers is one more than four times the smaller number. if the
sum of the numbers is 106, find the numbers.
A. 21,85
B. 51,55
C. 31,75
D. 25,81
Step-by-step explanation:
The larger of two numbers is one more than four times it the smaller.The sum is 106 it means when you add 21+85 you've got the sum 106 definitely correct answer.