The cafe served 12 regular coffees.
Out of the 30 coffees served at Molly's cafe this morning, 40% were regular coffee. To determine the number of regular coffees, we can calculate 40% of 30.
To find the value,
Step 1: Convert the percentage to a decimal by dividing it by 100. So, 40% = 40/100 = 0.4.
Step 2: Multiply the total number of coffees served by the decimal. So, 30 * 0.4 = 12.
Hence, the cafe served 12 regular coffees. The remaining 60% (or 18 coffees) would be decaffeinated. It is important to note that percentages represent proportions or fractions of a whole. In this case, 40% indicates that 40 out of 100 parts (or 40/100) are regular coffees. By applying this proportion to the total number of coffees served (30), we can determine the specific quantity. This method can be used in various scenarios involving percentages to find a portion of a whole. Therefore, Molly's cafe served 12 regular coffees and 18 decaffeinated coffees, making a total of 30 coffees.
Your answer: Molly's cafe served 12 regular coffees this morning.
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Find the quotient of 1 1/5 and 3 4/5
Answer:
0.2 and 0.8
Step-by-step explanation:
WILL GIVE 20 BRANLY- Find the value
Answer:
Find the value of what? Update the question and I will answer
Step-by-step explanation:
Please help as fast as you can???
Answer:
Nabila has $25 dollars.
Hasan has $19 dollars.
Tarek has $50 dollars.
Step-by-step explanation:
Let's say Hasan has "x" dollars at first. The question tells us that Nabila has six more dollars than Hasan has. This means that Nabila has "x + 6" dollars. The last given information is that Tarek has two times what Nabila has. So, Tarek has "2x + 12" dollars, basically.
Then, we can add up all these amounts to find out the result for each person.
\(4x + 18 = 94\\x = 19\)We found what is "x". This means that we actually found the answer.
Hasan had "x" dollars so he has $19 dollars.
Nabila had "x + 6" dollars so she has $25 dollars.
Finally, Tarek had "2x + 12" dollars or two times of what Nabila has so he has $50 dollars.
You earn $8 per hour and for every 15 minutes you're late you lose $2 if you are 5 to 10 minutes late four times during the month how much money would you lose
If you earn $8 per hour and lose $2 for every 15 minutes you're late, being 5 to 10 minutes late four times in a month would result in a total loss of $16.
Given that you earn $8 per hour, we can calculate your earnings based on the number of hours you work. Let's assume you work for a total of 160 hours in a month (considering a typical full-time work schedule). With an hourly rate of $8, your monthly earnings would be $1,280.
Now, let's consider the times you were 5 to 10 minutes late. Each time you're late, you lose $2 for every 15 minutes. Being 5 to 10 minutes late is within the range of 1 to 2 quarters of an hour. Therefore, for each late arrival, you would lose $2.
If you were late four times during the month, the total loss would be $2 x 4, which equals $8. Therefore, being 5 to 10 minutes late four times in a month would result in a total loss of $8 from your monthly earnings of $1,280.
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Find 12.48+(−10.636). Write your answer as a decimal.
\(\tt{Hey~there!\)
\(\tt{12.48+(-10.636)\)
\(\tt{Remove~parenthesis:\)
\(\tt{12.48+-10.636\)
\(\tt{1.844\)
\(\tt{Hope~this~helps!\)
\(\boxed{\tt{-TestedHyperr}}\)
The value of the expression 12.48 + (−10.636) will be 1.844.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The expression is given below.
⇒ 12.48 + (−10.636)
⇒ 12.48 − 10.636
⇒ 1.844
The value of the expression 12.48 + (−10.636) will be 1.844.
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a dealer bought an article from a wholesaler at some price and sold it a customer at 7000. if the rate of gst is 5% and the dealer deposited 37.50 as gst. find the price paid by the dealer (including gst) for the article
graph the equation y= - 1/2x +1
A graph of this equation (y = 1/2(x) + 1) is shown in the image attached below.
What is a graph?A graph simply refers a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
In Mathematics, the graph of any proportional relationship such as a linear equation is modeled by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis decreases or increases, the values on the y-axis decreases or increases simultaneously.
In conclusion, we can logically deduce that the graph (see attachment) representing the given linear equation (y = 1/2(x) + 1) does not show a proportional relationship between the value of x and y.
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What is the center and radius of the circle described by the equation (x + 4)² + (y - 6)² = 25?
A. (4, -6); r = 25
B. (4, -6); r = 5
C. (-4, 6); r = 25
D. (-4, 6); r = 5
Answer:
A.
Step-by-step explanation:
Calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall.
Answer:
Logic - BMI formula
703*(lbs/inches^2)
703(118/64^2)=703(118/4096)
703*0.0288=20.2464
The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
BMI stands for Body Mass Index.
It's a measure of body fat based on height and weight that applies to both adult men and women.
BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.
It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.
Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703
First, we need to convert the height into inches:5 feet 4 inches = 64 inches
Next, we plug the values into the formula and solve for the BMI:
BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464
Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
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need help on precalculus
Answer:
around 502.65
Step-by-step explanation:
so, find the area of the circle first which is 16ft x 16ft x pi
after that, since a circle is 2 pi radians, just take 5/4 ÷ 2
then multiply that number over your area.
I'm not sure if I'm correct but this is what I know based on my limited understanding of it
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Answer:
20 pieces
Each roll has 36 inches of ribbon. This means that 5 rolls have 180 inches of ribbon (5 x 36 = 180).
You can then divide the 180 by 9 to find out how many 9 inch pieces the dressmaker can cut from 5 rolls of ribbon.
Equation representation:
36 inches x 5 rolls = 180 inches in total
(one roll)
180 inches ÷ 9 = 20 peices
In conclusion, the dressmaker can cut 20, 9-inch pieces from 5 rolls of ribbon.
Step-by-step explanation:
Have a great rest of your day
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What is the range of 4,3,3,6,10,7,4,3
Step-by-step explanation:
We have,
3,3,3,4,4,6,7,10
The largest number (L) = 10
The smallest number(S) = 3
Since, the range is the difference between the largest and the smallest value given in the data,
Here,
R = L-S
= 10-3
= 7
Thus Range = 3
Jacob ran 10 miles in 80 minutes.
At that rate how far would he run
in 2.5 hours?
SOMEBODY!!! HEELLLLLLP if you can help me with one question that's fine!
Step-by-step explanation:
Question 1The 20° angle is equal to the angle next you friend.
since they are interior alternate angles
The height of the ballon is 600 feet
Let x be the missing distance we are looking for
sin20° = 600/x switch x and sin 20° x = 600/ sin 20° x=1754.28≈ 1754 ftso the missing distance is 1754 feet
Question 2Here I represented the situation to visualize the problem
Let h be L be the length of the ladder
sin 30° = 7/L switch L and sin 30°L= 7/sin 30° = 14L = 14 ftso the ladder is 14 ft
Can someone help me with this please.
Answer:
x = 29
Step-by-step explanation:
(x + 3) + (x - 1) + (x + 1) = 90
3x + 3 = 90
3x = 87
x = 29
Answer:
x = 29
Step-by-step explanation:
(x+3)+(x-1)+(x+1) = 90
90 = 3x +3
3x = 87
x = 29
Jimmy won 82 super bouncy balls playing basketball at the county fair. At school he gave three to every student in his math class. He only has 4 remaining. How many students are in his class? Your answer
PLS HELPPP
Answer:
27
Step-by-step explanation:
so what you need to do is divide 82 and 3 and you get 27.33333333333333 and we know that you can't have part students so you round and that leaves you with 27 people.
Answer:
27
Step-by-step explanation:
Let X be distributed over the set N of non-negative integers, with pmf a P(X = i) = 21 for some fixed α E R. Find EX For Y X mod 3, find ·P(Y= 1) .ELY
Let's analyze the given probability mass function (pmf) for the random variable X. We know that P(X = i) = 21 for some fixed α in the set of real numbers, R. However, it seems there is an error in the given pmf value. The probability of any specific value in a discrete probability distribution should be between 0 and 1. Therefore, it is not possible for P(X = i) to equal 21.
To proceed with finding EX, we need a valid pmf. Without further information or clarification, it is not possible to determine the expected value of X.
Moving on to the second part of the question, we introduce a new random variable Y = X mod 3. The modulus operator (mod) finds the remainder when dividing X by 3. In other words, Y represents the numbers in X that leave a remainder of 1 when divided by 3.
To find P(Y = 1), we need to calculate the probability that Y takes the value 1. Since Y represents the remainder when dividing X by 3, Y can only take the values 0, 1, or 2.
To calculate P(Y = 1), we sum up the probabilities of all the values in X that leave a remainder of 1 when divided by 3. Mathematically, we can express this as:
P(Y = 1) = P(X = 1) + P(X = 4) + P(X = 7) + ...
However, since the pmf values were given incorrectly, it is not possible to compute P(Y = 1) without a valid pmf. Therefore, we cannot provide a specific numerical answer for P(Y = 1) in this case.
In summary, without a valid pmf for X, it is not possible to determine the expected value of X (EX) or calculate the probability P(Y = 1) for the random variable Y = X mod 3.
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The perimeter of a rectangle garden is 43.8 feet. It's length is 12.4 feet. What is it's width?A. 15.7 ftB. 19.0 ftC. 9.5 ftD. 6.2 ft
The perimeter of a rectangle is given by the formula:
\(\text{Perimeter}=2\cdot\text{length}+2\cdot\text{width}\)If the perimeter is 43.8 and the length is 12.4, we can find the width:
\(\begin{gathered} 43.8=2\cdot12.4+2\cdot\text{width} \\ 2\cdot\text{width}=43.8-24.8 \\ 2\cdot\text{width}=19 \\ \text{width}=\frac{19}{2}=9.5 \end{gathered}\)The width is 9.5 feet, therefore the answer is C.
Select all the true statements. Logarithms may be used to linearize data. Powers may be used to linearize data. Roots may be used to linearize data. If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model. If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.
The true statements are:
Logarithms may be used to linearize data.
Powers may be used to linearize data. Roots may be used to linearize data.
If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.
Another format for writing exponents is in logarithms.
The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.
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Answer:
A.Logarithms may be used to linearize data.
B.Powers may be used to linearize data.
C.Roots may be used to linearize data.
E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.
Step-by-step explanation:
Yes
6-3/8 I need help please
Answer:
5.625
Explanation:
how do you calculate the area of each tringle:
hight 3cm
base 9cm
base 8cm
hight 5cm
base 3.5cm
hight 9.8cm
Answer:
The formula for area of a triangle is 1/2bh or one half base times height.
Step-by-step explanation:
First, multiply both numbers.
Then divide the product by 2. (This is the same as multiplying by 1/2)
And there you go, just make sure to label cm².
Please help!! I am so confused on how to do this.
Answer:
its 62!
p-by-step explanation:
Answer:
62.
Step-by-step explanation:
A=2(wl+hl+hw)=2·(3·5+2·5+2·3)=62
if a cylindrical tank with radius 5 meters is being filled with water at a rate of 2 cubic meters per minute, how fast is the height of the water increasing?
The speed of water with height is increasing at rate of 2/25*pi m/min.
What is cylinder?The three-dimensional shape of a cylinder is made up of two parallel circular bases connected by a curved surface. The right cylinder is created when the centres of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centres.
Write formula to find volume of a cylinder.V= pi*\(r^{2}\)*h is used to find volume of cylinder.
The formula we use is that have two variable is:
V= pi*\(r^{2}\)*h
r= 5 meters is given
so, V= 25*pi*h
We have to find rate of change so we have to differentiate both sides w.r.t time
dV/dt= 25*pi* dh/dt
Now dV/dt=2 given
So 2= 25*pi*dh/dt
2/25*pi m/min = dh/dt
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The speed of water with height is increasing at rate of 2/25*pi m/min.
What is cylinder?
The three-dimensional shape of a cylinder is made up of two parallel circular bases connected by a curved surface. The right cylinder is created when the centres of the circular bases cross each other. The axis, which represents the height of the cylinder, is the line segment that connects the two centres.
Write formula to find volume of a cylinder.
V= pi**h is used to find volume of cylinder.
The formula we use is that have two variable is:
V= pi**h
r= 5 meters is given
so, V= 25*pi*h
We have to find rate of change so we have to differentiate both sides w.r.t time
dV/dt= 25*pi* dh/dt
Now dV/dt=2 given
So 2= 25*pi*dh/dt
2/25*pi m/min = dh/dt
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Which is closest to the volume of a sphere with a radius equal to 8 centimeters?
Α.
267.9 cm3
B
803.8 cm3
С
1,607.7 cm3
D
2,143.6 cm3
Answer:
Step-by-step explanation:
volume of sphere = 4πr³/3
= 4π×512/3
≈ 2143.6 cm³
Use the segmants tanget to a circle theorem to find perimeter of JLNQ
Answer: 28
Step-by-step explanation:
at 0 hours, clare and her cousin are 63 miles apart. how far apart are they after 1 hour? 2 hours? 3 hours? show or explain your thinking.
The required, after 1 hour, 2 hours, or 3 hours, would still be 63 miles apart.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
If Clare and her cousin are 63 miles apart at 0 hours, their distance apart does not change with time, unless they are moving towards or away from each other. The distance between two static points cannot be affected by the passing of time.
So, after 1 hour, 2 hours, or 3 hours, they would still be 63 miles apart.
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What is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line.
Answer:
4
Step-by-step explanation:
36/9=4
Answer:
4
Step-by-step explanation: division
kim's family spends $62.50 on dinner . They leave an 18% tip . how much is their total bill after tip?
Answer:
Kim's Family spends $62.50 on dinner. They leave an 18% tip. After tip, their bill should come to $73.75
Step-by-step explanation:
If this isnt the correct answer then try 11.25 as the answer
Find the equation of the line shown.
10
9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9 10
Answer:
y = 2.5x
Step-by-step explanation:
use y = mx + c
m = gradient (rise/run)
c = y intercept at x = 0
m = 10 / 4 = 2.5
c = 0
y = 2.5x
becuase c = 0 you dont add it into the equation
Answer:
y=mx + c.
the y intercept is represented by c, this is where our line meets the y axis. here our y intercept is 0, because the line meets the y axis at the point 0 on the y axis. therefore, we discard this from the equation as it has no meaning/relevance. the gradient is equal to the rise over run. so, the line had risen by ten, and ran across by 5. 10÷5=2. so, the equation of the line is just y=2x hope this helps.!!!
can anyone help me plz
Answer:
1000 miles
Step-by-step explanation:
Divide how long Jack's family traveled before he fell asleep by the percent of the trip.
430/43% = 1000
The trip was 1000 miles
You can check this by multiplying the total miles of the trip by the percent
1000 x 43% = 430
Answer:
754.4 miles
Step-by-step explanation:
He sleeps 43 % of the trip. So 57% of the trip is the time is asleep which is 430 miles. The math is 430/57 x 100 = 754.4