3.5 cookies
Friend one: 3 Friend two: 3
One leftover cookie
Split in half give one to each and that makes 3.5
Each of the 2 friends gets 3.5 cookies when sharing 7 cookies equally.
When 2 friends share 7 cookies equally, you divide the total number of cookies by the number of friends. Here, you need to divide 7 cookies by 2 to find out how many cookies each person gets. The calculation would be:
Divide 7 by 2: 7 \/ 2 = 3.5
So, each friend gets 3.5 cookies. However, since you cannot share a cookie perfectly in half without changing its state, we assume this division is hypothetical. In a real-world scenario, they might have to decide how to divide the last cookie or simply share it equally, giving each friend half of the last cookie.
bobs garden measure 9 feet by 6 feet.if there are 10 flowers square foot of garden how many flowers are there?
Answer:
540
Step-by-step explanation:
9✖️6= 54
This means that there are 54 square feet in the garden
Since there are 10 flowers in each foot then you would have to multiply
54✖️10= 540
This means that there are 540 flowers in the garden
Hope this helps! :3
How much ice cream can fit in a chocolate cone with a height of 7 inches and a diameter of 4 inches?
87.92in^3 or 29.3in^3
Answer:
29.3 in³
Step-by-step explanation:
1. Volume of cone: V = ¹/₃ * πr²h
2. Find r: r = d/2 = 4/2 = 2 in
3. Plug in: V = ¹/₃ * π(2)²*7
4. Powers: V = ¹/₃ * π * 4 * 7
5. Multiply: V = ²⁸/₃π in³ ≈ 29.3 in³ (excluding outside of the cone)
Final answer:
Approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.
Explanation:
To find the amount of ice cream that can fit in a chocolate cone, we need to calculate the volume of the cone. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius (half the diameter) of the base of the cone and h is the height of the cone. In this case, the diameter is 4 inches, so the radius is 2 inches. The height of the cone is 7 inches. Plugging these values into the formula, we get V = (1/3)π(2^2)(7) = (4/3)π(7) = 28/3π ≈ 29.3 cubic inches. Therefore, approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.
what is the midpoint between 2+8i and 2-i
Answer:
2 + 3.5i
Step-by-step explanation:
Real: (2 + 2)/2 = 4/2 = 2
Complex: (8i - i)/2 = 7i/2 = 3.5i
Answer: (2 + 3.5i)
a 7cm × 5cm rectangle sits inside a circle with radius 6cm. what is the area of the shaded region
Answer:
The area of the shaded region is [tex](36\pi-35)\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the circle minus the area of the rectangle
so
[tex]A=\pi r^{2}-a*b[/tex]
we have
[tex]a=7\ cm[/tex]
[tex]b=5\ cm[/tex]
[tex]r=6\ cm[/tex]
substitute the values
[tex]A=\pi (6)^{2}-(7)*(5)[/tex]
[tex]A=(36\pi-35)\ cm^{2}[/tex]
Answer:
78.1
Step-by-step explanation:
Finish this simile. Use your imagination to complete the description.
The horse ran like . . . . .
Answer: Usain Bolt
Step-by-step explanation:
Answer:
The horse ran like a jaguar trying to feed.
Step-by-step explanation:
Find the volume of the cylinder.
Either enter an exact answer in terms π or use 3.14 for π
Answer:
160π units³
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the base radius and h the height )
here r = 4 and h = 10, thus
V = π × 4² × 10 = 160π units³ ← exact value
8) Solve 4^(x - 2)= 8^6
A)5
B)8
C)10
D)11
For this case we have the following equation:
[tex]4 ^ {(x-2)} = 8 ^ 6[/tex]
We must create equivalent expressions in the equation, so that they have equal bases:
[tex]2 ^ {2 * (x-2)} = 2 ^ {3 * 6}[/tex]
If the bases are the same, then the two expressions are only equal if the exponents are equal:
[tex]2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11[/tex]
Answer:
[tex]x = 11[/tex]
Option D
Answer: OPTION D
Step-by-step explanation:
You need to remember the following:
[tex]a^x=a^y\\x=y[/tex]
Then, you must descompose 4 and 8 into their prime factors:
[tex]4=2*2=2^2\\8=2*2*2=2^3[/tex]
Rewriting the expression:
[tex]2^{2(x-2)}=2^{3(6)}[/tex]
Now you get:
[tex]2(x-2)=3(6)[/tex]
Finally, you must solve for the variable "x".
Therefore, you get the following result:
[tex]2x-4=18\\2x=22\\x=11[/tex]
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 600 and a standard deviation of 120. Use the 68 dash 95 dash 99.7 Rule to find the percentage of people taking the test who score between 240 and 960.
Answer:
99.7%
Step-by-step explanation:
The 68-95-99.7 rule refers to what percentage of data is contained within ranges a certain distance from the mean.
68% of the data lies within one standard deviation of the mean
95% lies within two standard deviations, and
99.7% lies within three standard deviations.
Our mean here is 600, and our standard deviation is 120, so those ranges would be:
480-720 for 1 standard deviation
360-840 for 2 standard deviations, and
240-960 for 3.
Our given range is 240 to 960, three standard deviations from the mean, so the 68-95-99.7 rule tells us that this range contains 99.7% of the people.
According to the empirical rule, approximately 99.7% of people taking the GRE score between 240 and 960.
The student is asking for the percentage of people taking the GRE who score between 240 and 960 using the 68-95-99.7 Rule (also known as the empirical rule). This rule applies to normally distributed data and indicates that approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
For the GRE, with a mean score of 600 and standard deviation of 120, one standard deviation range is from 480 to 720, two standard deviations is from 360 to 840, and three standard deviations is from 240 to 960. Using this rule:
68% of the scores fall between 480 (600-120) and 720 (600+120).
95% of the scores fall between 360 (600-2*120) and 840 (600+2*120).
99.7% of the scores fall between 240 (600-3*120) and 960 (600+3*120).
Hence, according to the empirical rule, approximately 99.7% of people taking the GRE score between 240 and 960.
Which table represents a function with a greater rate of change than y = 3x?
x f(x)
–3 –12
–1 –4
4 16
x f(x)
–2 6
–1 3
1 –3
x f(x)
1 0.25
8 2
16 4
x f(x)
–9 3
–3 1
21 –7
Answer:
x f(x)
–3 –12
–1 –4
4 16
Step-by-step explanation:
Let us find the each function by evaluating them one by one
1.
x f(x)
–3 –12 = -3 x 4
–1 –4 = -1 x 4
4 16 = 4 x 4
By observing the data we can see that
f(x) = 4x
2.
x f(x)
–2 6 = -2 x -3
–1 3 = -1 x -3
1 –3= 1 x -3
f(x) = -3x
3.
x f(x)
1 0.25 = 1/4
8 2 = 8/4
16 4 = 16/4
f(x)= x/4
4.
x f(x)
–9 3 = -9/-3
–3 1 = -3/-3
21 –7 = 21/-3
f(x) = x/-3
Hence comparing all the four function with our given function f(x)=3x , we see that f(x) =4x has a greater rate of change that f(x)=3x
Answer:
The Correct Answer is A.
Step-by-step explanation:
i need help hurry
please
Answer: 1 and 3, means the first one and the third one
Step-by-step explanation:
So just do the equations and you know you will get the right answer.
Fun Fact:
To get the right answer just solve all the equations, even the one in the question. And match the one that is equivalent.
Note:
If you are reading this, please let me know if you need to know anything else.
Mark BRAINLIEST
On Monday 4 bricklayers took 3 hours to lay a total of 4200 bricks.
On Tuesday there are only 2 bricklayers.
Work out how many hours it will take the 2 bricklayers to lay a total of 3150 bricks
The answer is:
It will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.
Why?From the statement, we know that on Monday, bricklayers took 3 hours to lay a total of 4200 bricks.
So, we have that the rate of the four bricklayers is given by the following equation:
[tex]Production=Rate*Time\\\\Rate=\frac{Production}{time}[/tex]
[tex]Rate=\frac{4200bricks}{3hours}=\frac{1400bricks}{hour}[/tex]
Therefore, we have that the rate of the four bricklayers is 1400 bricks per hour, meaning that each bricklayer can lay 350 bricks per hour.
Now, to calculate how many hours it will take to the 2 bricklayers to lay a total of 3150, we need to divide the calculated rate (for bricklayers) by two, since there are only 2 bricklayers working on Tuesday.
So, calculating the time, we have:
[tex]Production=\frac{Rate}{2}*Time[/tex]
[tex]3150bricks=\frac{\frac{1400bricks}{hour}}{2}*Time[/tex]
[tex]3150bricks*2*\frac{1hour}{1400bricks}=Time[/tex]
[tex]6300bricks*\frac{1hour}{1400bricks}=Time[/tex]
[tex]Time=4.5hours[/tex]
Hence, we have that it will take 4.5 hours for two bricklayers to lay a total of 3150 bricks.
Have a nice day!
Given the rate of work from Monday, each bricklayer can lay 350 bricks an hour. Therefore, 2 bricklayers can lay 700 bricks an hour. It will take them approximately 4.5 hours to lay 3150 bricks.
Explanation:First, we need to find out the rate of work done by each bricklayer. On Monday, 4 bricklayers took 3 hours to lay a total of 4200 bricks. Therefore, each bricklayer can lay 4200 bricks divided by 4 bricklayers divided by 3 hours, which equals 350 bricks per hour. So, one bricklayer can lay 350 bricks an hour.
On Tuesday, there are only 2 bricklayers, and they need to lay a total of 3150 bricks. Since each bricklayer can lay 350 bricks an hour, two bricklayers can lay 700 bricks an hour. To find out the time it will take to lay 3150 bricks, we divide 3150 bricks by the 700 bricks that two bricklayers can lay in an hour. This equals to approximately 4.5 hours.
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if A = -3 + 5i, B = 4 - 2i, and C = 1 +6i, where i is the imaginary unit, then A - BC equals
1) 5 - 17i
2) 5 + 27i
3) -19 - 17i
4) -19 + 27i
Answer:
3) -19 - 17i is our answer
Step-by-step explanation:
to solve A - BC we plug in the values given
A= -3 + 5i
B = 4 - 2i
C = 1 + 6i
-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:
First
Outside
Inside
Last
i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression
F: (4 - 2i)(1 + 6i) = 4
O: (4 - 2i)(1 + 6i) = 24i
I: (4 - 2i)(1 + 6i) = -2i
L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because i = √-1 and i² = -1
when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result
combining all these terms together and we have:
4 + 24i - 2i + 12
in the expression this is:
-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:
-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)
-3 - 4 - 12 = -19
5i - 24i + 2i = -17i
the result of the expression is:
-19 - 17i
we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer
The result of the expression where i is the imaginary unit is -19-17i. Option 3 is correct
Given the following complex numbers A = -3 + 5i, B = 4 - 2i, and C = 1 +6i
We need to solve for A - BC
BC = (4 - 2i)(1 + 6i)
BC = 4(1) + 4(6i) - 2i(1) - 2i(6i)
BC = 4 + 24i -2i - 12(-1)
BC = 16+22i
Evaluate A - BC
A - BC = (-3 + 5i) - (16 + 22i)
A - BC = -3-16 + 5i - 22i
A - BC = -19 - 17i
Hence the result of the expression where i is the imaginary unit is -19-17i
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A man walks due east for 4km, he then changes direction and walks on a bearing on a bearing of 197degrees until he is south west of his starting point. How far is he from the starting point?
Check the picture below.
The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%.
What is the machine’s value after 5 years? Round your answer to the nearest integer.
Answer:
295245
you can round it yourself
Step-by-step explanation:
The data give the average number of days in May that are clear and cloudy in
two cities.
On a day in May, what is the probability that it is clear, given that you are in
San Antonio? Explain how you found the answer and round your answer to
two decimal places.
O
A. 0.57, because 17 of the 30 days were clear
O
B. 0.26, because 6 of the 23 days were clear
O
C. 0.10, because 6 of the 60 days were clear
O
D. 0.20, because 6 of the 30 days were clear
The probability that it will be a clear day in San Antonio in May is 0.57 or 57%, calculated by dividing the number of clear days (17) by the total number of days in May (30).
Explanation:In order to determine the probability of a clear day in San Antonio in May, we need to use the given data. From option OA, it is stated that there are 17 clear days out of 30. Probability is calculated by dividing the number of favorable outcomes (clear days) by the total number of outcomes (total days in May).
So, if we divide 17 (the number of clear days) by 30 (the total number of days in May), we get the probability as 0.57 after rounding to two decimal places which matches option OA.Therefore, the probability that it will be clear in San Antonio in May is 0.57 or 57%.
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Because 6 of the 30 days were Clear, The probability is 0.2
How to determine the probabilityThe probability of A given B is defined as ;
P(A|B) = P(AnB) / P(B)Hence, Probability of being clear given you're in San Antonio ;
P(Clear n SA) / P(SA)Now we have ;
P(Clear n SA) = 6 / 30 = 0.2
Hence, the correct option is D.
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A wall of a building is made from blocks that are each one cubic foot the wall is 6 feet high and 6 feet wide. a window is made by removing some blocks as shown below the window is 2 feet high by 2 feet wide.what is the value of the wall after the window is made?
The required value of the wall after the window is made is 32 cubic feet.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The total number of cubic feet in the wall before the window is made is,
6 feet (height) × 6 feet (width) = 36 cubic feet.
The window is 2 feet high and 2 feet wide, so its area is:
2 feet (height) × 2 feet (width) = 4 square feet.
To find the number of cubic feet removed to make the window, we simply multiply the area of the window by the depth of the wall, which is 1 foot:
4 square feet × 1 foot = 4 cubic feet.
Therefore, the total number of cubic feet in the wall after the window is made is,
36 cubic feet - 4 cubic feet = 32 cubic feet.
So the value of the wall after the window is made is 32 cubic feet.
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23. Ellen bought rose bushes for her market at
wholesale for $24. The retail price was $34. What
was the markup?
$0.29
$1.42
$1.29
$0.42
$10.00
10.00 was the markup
Ellen's markup on the rose bushes is calculated by subtracting the wholesale price from the retail price, resulting in a markup of $10.00.
The question asks to calculate the markup of rose bushes that were bought at a wholesale price and then sold at a retail price.
To find the markup, we subtract the wholesale price from the retail price: Retail Price - Wholesale Price = Markup.
In this case, Ellen bought the rose bushes at a wholesale price of $24 and the retail price was $34.
So, the markup calculation would be:
= $34 - $24 = $10.
Therefore, the markup on the rose bushes is $10.00.
math help ! will reward uwu
Answer:
5) c. 6 pi cm
6) A. 81 pi mm^2
Step-by-step explanation:
5) Circumference of a circle = pi d
d = 6 cm
so
C = 6 pi cm
Answer
c. 6 pi cm
6)
A = pi r^2
r = d/2 = 18/2 = 9
so
A = pi 9^2
A = 81 pi mm^2
Answer
A. 81 pi mm^2
Answer:
Circumference: 6πcm
Area: 81π mm^2
Step-by-step explanation:
1. C = πd
C = 3.14159 * 6
C = 18.84cm OR C = 6πcm
2. A=πr^2
A = 3.14159 * (9^2)
A = 254.46mm OR 81π mm^2
PLEASE HELP GIVE AS MANY POINTS AS I CAN
Answer:
The correct numbers to fill the table going down are:
2
5
7
Answer:multiply y times 2 the answers would be 2,5,7
Step-by-step explanation:
Find the area of the rectangle below.
(3x+4)feet (x+3)feet
Answer:
3x^2+13x+12 square feet.
Step-by-step explanation:
Since the formula for area is lxw so we Multiply the given using the foil method: (3x+4)(x+3)
3x^2+9x+4x+12, combine like terms
3x^2+13x+12, since we no longer have other like terms then the area is 3x^2+13x+12 square feet.
Answer:
Area of rectangle = [tex]3x^2+13x+12[/tex] square feet
Step-by-step explanation:
We are given the following dimensions of a rectangle and we are to find its area:
[tex] ( 3 x + 4 ) feet [/tex]
[tex] ( x + 3 ) feet [/tex]
We know that the formula of area of a rectangle is given by: [tex]l \times w[/tex].
Substituting the given dimensions in the above formula.
Area of rectangle = [tex](3x+4) \times (x+3)[/tex] = [tex]3x^2+9x+4x+12[/tex] = [tex]3x^2+13x+12[/tex] square feet
Which of the following best describes XYZ
D. Inscribed angle
Step-by-step explanation:An inscribed angle has a vertex on the circumference. For any arc, every inscribed angle is exactly half of the central angle. In other words, if the central angle is [tex]x^{\circ}[/tex] and the inscribed angles is [tex]y^{\circ}[/tex], then it is true that:
[tex]y^{\circ}=\frac{x^{\circ}}{2}[/tex]
In this problem [tex]y^{\circ}=36^{\circ}[/tex], then the central angle is [tex]x^{\circ}=2y^{\circ} \ \therefore x^{\circ}=2(36^{\circ}) \therefore x^{\circ}=72^{\circ}[/tex]
Answer:
Option D.
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
[tex]m<XYZ=\frac{1}{2}(arc\ XZ)[/tex]
In this problem
The measure of angle XYZ is an inscribed angle
2 times the square root of 18
Answer:
8.48 I believe that is the correct answer
Step-by-step explanation:
Answer:
8.48
Step-by-step explanation:
Which is the equation in slope intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7?
A y= 3x + 12
B y= 1/3x y = 4
C y= -3x -6
D y= -1/3x + 3
The equation of the line parallel to 3x + y = 7 and passing through (-3,3) is y = -3x + 12 (Option A) because parallel lines have identical slopes and using the point-slope formula provides us with the y-intercept.
To find the equation of a line parallel to 3x + y = 7 and passing through the point (-3,3), we need two pieces of information:
The slope of the parallel line
The coordinates of a point it passes through
First, let's rewrite the given equation in slope-intercept form to find the slope. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = -3x + 7
So, the slope m is -3. Because parallel lines have the same slope, our new line will also have a slope of -3.
Using the slope (-3) and the given point (-3,3), we apply the point-slope formula:
y - y1 = m(x - x1)
y - 3 = -3(x - (-3))
y - 3 = -3x - 9
y = -3x + 12
Thus, the equation in slope-intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7 is y = -3x + 12 which corresponds to Option A.
Which of the following expressions represents the distance between -13 and -4 on a number line
Answer:
a) |-13 - (-4)|Step-by-step explanation:
The formula of a distance between two points (numbers) A and B on the number line:
d = |B - A| = |A - B|
We have A = -13 and B = -4. Substitute:
d = |-13 - (-4)|
Combine the like terms to create an equivalent expression: −2x−x+8
Answer:
-3x+8
Step-by-step explanation:
−2x−x+8
-2x and -x both have the variable x in them so we can combine them
-2x-x = -3x
-3x+8
Answer:-3x+8
Step-by-step explanation:
Negative - a negative= negative so -2x-x= -3x and the 8 is just an 8 because it has nothing to combine
What is the relationship between two congruent chords and their distance to the center of a circle?
Answer:
Congruent chords are equidistant from the center of the circle
Step-by-step explanation:
Chords are lines touching two points on the circumference of a circle. A diameter of a circle is a chord that passes through the center of the circle.If two chords are equal in length or magnitude they are congruent and they are equidistant from the center of the circle. This means the distance from each chord to the center of the circle is equal.Plsssss helpppp teacher won’t helppp
Answer:
A. The graphs of two of the functions have a minimum point.
Step-by-step explanation:
Option A is false, because the only function that has a minimum point is
[tex]h(x)=\frac{1}{4}x^2+1[/tex]
Option B is true because all the functions are of the form;
[tex]y=ax^2+c[/tex]
The equation of axis of symmetry of equations in this form is x=0.
Option C is also true because, [tex]h(x)=\frac{1}{4}x^2+1[/tex] is a minimum graph and its y-intercept is 1. This graph will hang above the x-axis.
[tex]g(x)=-2x^2-5[/tex] is a maximum graph whose y-intercept is -5.
This graph also hangs below the x-axis.
Option D is also true. The y-intercepts are 6,-5, and 1
what is the unit rate for the cost of a salad at the salad bar?
Answer:
C.) $2.00 per pound
Hope This Helps! Have A Nice Day!
$2.00 per pound, the answer would be letter C
What can be 5 questions using this two table and the answers to them?? HELP due tomorrow please!
Answer:
1.) What percent of girls don't wear makeup? [30%]
2.) What percent of the people surveyed were girls? [50%]
3.) What percent of people don't have an opinion? [23.3%]
4.) What percent of boys boys prefer girls who don't wear make up? [33.3%]
5.) What percent of boy have no opinon? [10%]
I hope this helps!!!
11/33 in lowest terms
Answer:
1/3
Step-by-step explanation:
Both 11 and 33 are divisible by 11
11/11 =1
33/11 =3
11/33 = 1/3
The answer is 1/3. I hope this helps!