Answer: 3 gallon pots.
Step-by-step explanation:
Given data:
No of chili recipes = 24 cups
No of gallon = 3 gallon pot.
No of quart = 5 quart pot.
Solution:
First we convert the quart pot and gallon pot to cups.
1. 5quart cup
= 5 * 4cups
= 20cups.
2. 3 gallons pot
= 3 * 16
= 48cups.
Allan would be able to fit the 24 cup chili into the 3 gallon pot because it would be able to contain it all. Unlike the 5 quarts pot which can only accommodate 20cups of the chili.
What measure would be used to compute the average gender of subjects?
a. mean
b. mode
c. median
d. standard deviation
The measure that would be used to compute the average gender of subjects is the mean. Option a) mean is the correct answer.
The mean is calculated by adding up all of the values in a set of data and dividing by the number of values. In this case, if we assign a value of 0 to represent male and a value of 1 to represent female, we can calculate the mean by adding up all of the values and dividing by the total number of subjects.
However, it is important to note that gender is a binary category and using numerical values to represent it may not be appropriate or respectful. Additionally, the concept of an "average" gender may not be meaningful or relevant in all contexts.
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You purchase disposable plates, cups and forks for a cookout. Plates are sold in
packages of 18 for $2 cups are sold in packages of 27 for $8 and forks are sold in
packages of 36 for $5 You want to buy packages so that you have the same number of
plates, cups and forks. What is the least
amount of money you need?
Answer:
$59
Step-by-step explanation:
You first need to find what 18, 27, and 36 can all fit into.
108 is divisible by each of these values:
108/18= 6 108/27=4 108/36=3
This will equate to how many packages of each item you will need:
6 pkgs of Plates, 4 pkgs of Cups, 3 pkgs of Forks
6*$2=12 4*$8=32 3*$5=15
Add these values to find total: 12+32+15=$59
Answer:
$177
Step-by-step explanation:
324÷18=18
324÷27=12
324÷36=9
18×$2=$36
12×$8=$96
9x$5=$45
$36+$96+$45=$177
-10(d+1)=-14
What is the value of d
Answer:
\(d=\frac{2}{5}\)
Step-by-step explanation:
-10 (d+1) = -14
-10d -10 = -14
-10d = -14 + 10
-10d = -4
d = 4/10
d= 2/5
An algorithm will be used to count how many numbers in a list are multiples of either 5 or 10. For the list of [5, 3, 2, 10, 20, 7], it should count 3 numbers (5, 10, 20). There are two proposals for the algorithm: Algorithm 1: Set value of count to 0. Iterate through each number in the list. If the current number is a multiple of 5 and a multiple of 10, increment count by 1. Algorithm 2: Set value of count to 0. Iterate through each number in the list. If the current number is a multiple of 5, increment count by 1. Then, if the current number is a multiple of 10, increment count by 1.
Algorithm 2 is the better proposal for this problem.
The reason for this is because of the specific nature of the problem statement.
The prompt calls for a count of the numbers that are multiples of either 5 or 10. However, Algorithm 1 only counts the numbers that are multiples of both 5 and 10.
This means that Algorithm 1 will not capture all the relevant numbers in the list, thus leading to incorrect results.
On the other hand, Algorithm 2 correctly counts all the numbers that are multiples of either 5 or 10. This is because it checks for multiples of 5 first and increments count if it finds a multiple.
Then, it checks for multiples of 10 and increments count again if it finds a multiple. By doing this, Algorithm 2 correctly captures all the relevant numbers in the list, thus leading to correct results.
Overall, Algorithm 2 is the better proposal for this problem.
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In APQR, P = 83°, p = 285 m, r = 216 m.
Calculate R.
Answer:
48.8°
Step-by-step explanation:
We solve using sine rule
The formula is given as
p/sin P = r/sin R
In APQR, P = 83°, p = 285 m, r = 216 m.
Calculate R.
Hence, solving for R
285/sin 83 = 216/sin R
Cross Multiply
285 × sin R = sin 83 × 216
sin R = sin 83 × 216/285
R = arc sin (sin 83 × 216/285)
R = 48.78527°
Approximately = 48.8°
Therefore, R = 48.8°
question 4: a school group went to a carnival on a field trip. the function c(x) represents the amount of money spent in dollars, where x is the number of students. does a possible solution of (29.5, $212.50) make sense for this function? explain your answer.
Step-by-step explanation:
only limited sense.
first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.
therefore, 29.5 students for a single field trip calculation does not make sense.
but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.
use the slope-intercept form to graph y=3/5x-3
Answer:
Step-by-step explanation:
Teri goes shopping for some new clothes and then out to lunch with a friend. She spends $32.94 on some shirts, $15.89 for a belt and $19.99 each for two dresses that are on sale. For lunch, Teri has a salad that is $6.95, iced tea for $1.49 and dessert for $3.49. Teri pays 7% sales tax on both her shopping items and lunch. She tips her server 15%. How much has Teri spent all total for the day? a. $121.52 b. $109.58 c. $107.79 d. $88.19
Answer:
Step-by-step explanation:
Its B
Answer:
b.
$109.58
Step-by-step explanation:
(b) Problem 15: Find the rate of change for this two-variable equation. y-x = 10
The rate of change for the equation y - x = 10 is 1.
To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.
We can rewrite the equation as y = x + 10 by adding x to both sides.
Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.
In other words, as x increases by 1 unit, y will increase by 1 unit as well.
As a result, 1 represents the rate of change for the equation y - x = 10.
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17. When the sum of my family members age is divided by 2, 3, 4, 5, 6, or 10 there is always a remainder of 1. What is the sum of the ages of all my family members? Think: You need a number that 2, 3, 4, 5, 6, and 10 can divide without leaving a reminder. Remember to add the reminder, 1, to this number to get your answer.
A.340 years
B.231 years
C.121 years
D.473 years
Given, the sum of the family members age is divided by 2, 3, 4, 5, 6, or 10 there is always a remainder of 1. Let x be the sum of the ages of all family members.
Hence, the LCM of 2, 3, 4, 5, 6, and 10 with the remainder 1 is the sum of the ages of all the family members. LCM of 2, 3, 4, 5, 6 and 10 is 60. We need a number more than 100 which is exactly divisible by 60 and when 1 is subtracted from that number it will leave no remainder. So, the required sum of the ages of all family members = 60 + 1 = 61 years. Therefore, option C (121 years) is the correct answer.
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(2.74×107)+(5.6×107) whats the answer
Answer
83400000
Step-by-step explanation:
Answer:
892.38
Step-by-step explanation:
What can -85 be classified as like a Rational, Whole or a Integer number?
Answer:
-85 is rational and an integer, though an integer is the most specific
Step-by-step explanation:
Whole numbers do not include negative numbers
:]
A normal population has mean µ = 51 and standard deviation σ = 19. Find the value that has 25% of the population above it. Round the answer to at least one decimal place.
The value that has 25% of the population above it is_____
The value that has 25% of the population above it is approximately 64.1.
To find the value that has 25% of the population above it, we can use the Z-score formula and the standard normal distribution.
The Z-score formula is given by:
Z = (X - µ) / σ
Where:
Z is the Z-score,
X is the value we want to find,
µ is the population mean, and
σ is the population standard deviation.
To find the value with 25% of the population above it, we need to find the Z-score corresponding to the 75th percentile. The 75th percentile corresponds to a cumulative probability of 0.75.
Using a Z-table or a Z-score calculator, we can find the Z-score that corresponds to a cumulative probability of 0.75, which is approximately 0.6745.
Now, we can rearrange the Z-score formula to solve for X:
Z = (X - µ) / σ
Rearranging, we have:
X = Z * σ + µ
Substituting the values we have:
X = 0.6745 * 19 + 51
X ≈ 13.1295 + 51
X ≈ 64.13
Rounded to at least one decimal place, the value that has 25% of the population above it is approximately 64.1.
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URGENTT HELPPPPP PLEASEEEEEEEEEEEEEEEEEEEE
Solve. Find the area of a pantry shelf that measures 3 yards by 3/7 yard.
Answer:
The answer is 9/7 yards.
suppose that the interior angles of a convex heptagon are seven numbers each angle being 1 degree larger than the angle just smaller than it what is the measure of the fourth largest angle
Since we know that the heptagon is convex, all of its interior angles are less than 180 degrees. Let's call the smallest angle x degrees.
According to the problem, the other six angles are each 1 degree larger than the angle just smaller than it. This means the second angle is x+1, the third angle is x+2, and so on, until we get to the seventh angle which is x+6.
We know that the sum of the interior angles of a heptagon is (7-2) * 180 = 900 degrees. So we can set up an equation:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 900
Simplifying this equation, we get:
7x + 21 = 900
Subtracting 21 from both sides:
7x = 879
Dividing both sides by 7:
x = 125.57
So the smallest angle is approximately 125.57 degrees.
To find the fourth largest angle, we need to find the value of x+3.
x+3 = 125.57 + 3 = 128.57
So the fourth largest angle is approximately 128.57 degrees.
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Build Perseverance Find the value of x in the figure at the right. Round to the nearest tenth.
7.2 is the unknown value of x from the triangle.
Solving a missing side of a triangleThe given diagram is a triangle. We need to determine the measure of the value 'x'.
Using the trigonometry identity'
tan theta = opposite/adjacent
tan 50 = x/6
Cross multiply to have:
x = 6tan50
x = 6(1.1918)
x = 7.1505
Hence the value of x to the nearest tenth is 7.2
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HIII can some ONE PLEASEEEEE help plzzzz
Answer:5^(-1))^(5)
The third one
Step-by-step explanation:
Please help! I cannot figure this out.
well, for the piece-wise function, we'd like to know f(-2), or namely what is f(x) when x = -2?
well, f(x) is 2 for x = -1
f(x) is 4 for x > -1
keeping in mind that in the negative side of the number line, the closer to 0, the larger, thus -1 is much larger than -1,000, so hmmm -2 is farther from 0 than -1 is, so -1 is larger than -2, so when x = -2, x < -1, and the function that applies when x < -1 is -(x+1)² + 4, so then
\(f(x)= \begin{cases} -(x+1)^2 + 4&\stackrel{-2}{x} < -1\\\\ 2&x=-1\\\\ 4&x > -1 \end{cases} \\\\\\ f(-2)\implies -(~~(-2)+1~~)^2 + 4\implies -(-1)^2+4\implies -(-1)(-1)+4 \\\\\\ -(1)+4\implies -1+4\implies \text{\LARGE 3}\)
Answer: f(-2)=3
Step-by-step explanation:
\(f(x)=\left\{\begin{array}{ccc}-(x+1)^2+4\ for\ x < -1\\2\ \ \ \ for\ \ x=-1\\4\ \ \ for \ \ \ x > -1\end{array}\right\)
\(-2\in(-\infty,-1)\\Hence,\)
\(f(-2)=-(-2+1)^2+4\\f(-2)=-(-1)^2+4\\f(-2)=-1+4\\f(-2)=3\)
Write an equation in point-slope form of the line through the point (−1, 2) and with slope m = 2.
A. y − 2 = 2(x − 1)
B. y + 2 = 2(x − 1)
C. y + 2 = 2(x + 1)
D. y − 2 = 2(x + 1)
Answer:
D. y - 2 = 2(x + 1)
Step-by-step explanation:
y - y₁ = m (x - x₁)y - 2 = 2 (x - (-1))
y - 2 = 2 (x + 1)
#CMIIWWhat is the measurement of angle A to the nearest degree?
An extract of a balance sheet is given. What are the current ratio and the quick ratio? Balance Sheet (extract), December 31st, 2xxx $ Cash 2,000 Cash at Bank 20,000 Accounts Receivable 5,500 Prepayments 1,500 Inventory 10,000 Accounts Payable 12,000 Wages Payable 1,500 Taxes Payable 1,500 The current ratio is (1. 5:1, 2. 0:1, or 2. 6:1?) The quick ratio is (1. 9:1, 2. 6:1, or 2. 5:1?)
The current ratio is 2.6:1 and the quick ratio is 1.8:1.
To calculate the current ratio, we add up the current assets (cash, cash at bank, accounts receivable, prepayments, and inventory) and divide by the current liabilities (accounts payable, wages payable, and taxes payable).
Current Assets = $2,000 + $20,000 + $5,500 + $1,500 + $10,000 = $39,000
Current Liabilities = $12,000 + $1,500 + $1,500 = $15,000
Current Ratio = Current Assets / Current Liabilities = $39,000 / $15,000 = 2.6:1
To calculate the quick ratio, we use the same formula but only consider the quick assets, which are the current assets minus inventory and prepayments.
Quick Assets = $2,000 + $20,000 + $5,500 = $27,500
Quick Liabilities = $12,000 + $1,500 + $1,500 = $15,000
Quick Ratio = Quick Assets / Quick Liabilities = $27,500 / $15,000 = 1.8:1
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what is 1873 divided by 0.93
Answer:
it is 2013.97849462
Step-by-step explanation: hope this helps :)
witch is the warmer temperature -9°F or -7°F
Answer:
-7°F
Step-by-step explanation:
At first, you might think that the answer is -9 because 9 > 7, right? Actually, the "rules" for numbers are switched when you are dealing with negative numbers. Therefore, -7 > -9 so -7°F is the correct answer.
answer ^^
super ez
lol
low,low
low, high
high,high
Simplify this ratio completely 24/16
Answer:
3/2 or 1.5
Step-by-step explanation:
24/16 = 12/8
12/8 = 6/4
6/4 = 3/2
So, if you want fraction it's 3/2 and decimal is 1.5
The difference between the product of 4 and a number 6
Answer:
If we call our unknown value x, then we can say that
The "product of 4 and a number" is 4x
The "difference between" 4x and 6 is 4x - 6
Step-by-step explanation:
P and Q are two geometrically similar solid shapes. The total surface area of shape P is 240 cm². The total surface area of shape Q is 2160 cm². The volume of shape P is 960 cm³. Calculate the volume of shape Q. Optional working + Answer cm³
The volume of the shape Q is 25,920 cm³.
What is the equation for a sphere's surface area and how does it relate to the volume of the sphere?The isoperimetric inequality describes the relationship between a sphere's volume and surface area. This inequality indicates that the sphere has the biggest volume among all forms with a fixed surface area. The sphere also has the lowest surface area among all forms with a fixed volume. Due to its ability to increase volume while reducing surface area, the sphere is sometimes referred to as the "most efficient" form.
Let us suppose the scale factor = k.
Given that, total surface area of shape P is 240 cm².
Then surface area of Q can be written as:
k² × surface area of shape P = surface area of shape Q
k² × 240 cm² = 2160 cm²
k² = 9
k = 3
The volume of shape Q is:
k³ × volume of shape P = volume of shape Q
3³ × 960 cm³ = 27 × 960 cm³ = 25,920 cm³
Hence, the volume of the shape Q is 25,920 cm³.
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if angle r measures 121 degrees, what is the angle measure of angle j
HELP PLSSS
(4 - 3i) + (2 + i )(5 - 2i)
Answer:
16 - 2i
Step-by-step explanation:
If you simplify your answer will be: 16−2i
Hope i get brainlest