Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
The Ipad that Ms. Hopham would like to buy for research is $1,299. This week it is on sale for $990, and the sales tax is 6%. How much will she have to pay in total?
Turn the percentage into a decimal.
6% = 0.06
Multiply.
990 * 0.06 = $54.9 (sales tax)
Add.
990 + 54.9 = $1,049.40 (total price)
Best of Luck!
What is the value for x when solving the equation –x + (–1) = 3x + (–5) using alegbra tiles?
Answer:
x=1
Step-by-step explanation:
just use this app called photomath its free on apple and gives you answers.
Answer: x = 1
Step-by-step explanation:
–x + (–1) = 3x + (–5)
−x−1−3x=3x−5−3x
−4x−1=−5
Add 1 to both sides.
−4x−1+1=−5+1
−4x=−4
Divide both sides by -4.
x = 1
Hope this helps :)
A large brine tank containing a solution of salt and water is being diluted with fresh water. The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank, S(t) in grams per liter (g / 1) , is modeled by the following function S(t) = 500e ^ (- 0.25t) What will the concentration of salt be after 10 hours? Round your answerif necessary to the nearest hundredth
Answer:
41.04
Step-by-step explanation:
thats the answer on khan academy :3 i hope this helps
the concentration of salt be after 10 hours is 14.04 grams per liter
Given :
The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank is given by
[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}[/tex]
here 't' is the time taken . and S(t) is the concentration of salt.
We need to find the concentration of salt S(t) after 10 hours
So , we need to find S(10)
Replace 't' with 10 in the given equation
[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}\\S(10)=500e^{^{\:}\left(-\:0.25\cdot 10\right)\:}\\S(10)=41.04[/tex]
the concentration of salt be after 10 hours is 14.04 grams per liter
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Helpppppp meeeee pleaseeeeee!!!!
Answer: 15
Step-by-step explanation:
Just count the dots :)
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
Answer:
12
Step-by-step explanation:
If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?
25 * 3 = 75
87 - 75 = 12
find the value of c that creates a perfect square trinomial
Answer:
C equals 64
Step-by-step explanation:
To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 -----> 8 squared =64. Hope this helped
A group of 3 adults and 10 children bought tickets to watch a dance
performance. Each adult ticket cost $7 more than each child ticket.
The group paid a total of $125. What was the cost of each child ticket?
Answer:
6
Step-by-step explanation:
guess and check 6(10)+((6+7)5)=125
Convert 7/6 to a mixed number
7 out of 6 ymto a mixed number is
1¹/6
which explains how to find the radius of a circle whose equation is in the gorm x^2+y^2=z
if you could show us the picture then maybe i can help you
If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?
Answer:
Step-by-step explanation:
First, calculate the volume of the first cylinder
V= pi * r^2 * h
= pi * r^2 * 9 = 9 pi r^2
Volume of the second cylinder
V = pi * (2r)^2 * 9 = 36 pi r^2
the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4
The number of cylinders that can be filled is given by the equation A = 4
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be V₁
The radius of cylinder 1 = r
The height of the cylinder 1 = 9 inches
Let the volume of the second cylinder be V₂
The radius of cylinder 1 = 2r
The height of the cylinder 1 = 9 inches
Now , the volume of cylinder 1 is V₁ = πr²h
Substituting the values in the equation , we get
V₁ = 9πr²
Now , the volume of cylinder 2 is V₂ = πr²h
Substituting the values in the equation , we get
V₂ = 9π ( 2r )²
V₂ = 36πr²
And , the number of cylinders that can be filled is A = V₂ / V₁
On simplifying the equation , we get
The number of cylinders that can be filled is A = 36πr²/9πr²
The number of cylinders that can be filled is A = 4 cylinders
Hence , the number of cylinders is 4
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Question 24
1 pts
Points M(-2,3) and N(-4,-1) are plotted on a graph.
They are rotated 180 degrees about the origin, what are the new coordinates of M and N?
M(2,-3) and N(4,1)
M(4,1) and N(2,-3)
M(2.3) and N(4,-1)
OM(4-1) and N(2,3)
Answer: A M (2,-3) and N ( 4,1)
Step-by-step explanation:
(-2, 3) after a 180 degrees rotation the coordinates will be in the fourth quadrant (2,-3) and the y coordinate is always negative in the fourth quadrant.
(-4,1) after a 180 degrees rotation the coordinates will be in the first quadrant (4,1) and all the coordinates will be positive.
HELP ASAP PLS HELP PLSSSS
Answer 12.69
Step-by-step explanation:
Answer:
12.65 units
Step-by-step explanation:
I need help immediately with middle school
Answer:
5*7=35 square units
Step-by-step explanation:
area of parrelogram =B×h
plzz mark me brainliest
PLEASE HELP ASAP!!!! I’ll make you brainliest!!!
I need help with number 7!
Answer:
3/6
Step-by-step explanation:
7/14
Divide the top and bottom by 7
1/2
We are looking for something that equals 1/2
3/6
Divide the top and bottom by 3
1/2
Answer:
D: 3/6
Step-by-step explanation:
If you simplify 7/14 it becomes 1/2
and if you look at the choices 3/6 is the only number that is equal to 1/2
help me please I’ll give out brainliest
((Trigonometry))
Answer:
70.01 ft
Step-by-step explanation:
The angle of depression is 40°, which makes the angle formed by the ground and the line to the tower also 40°.
Since the side opposite of the 40° on the bottom is given, then you can use sine to find how far Ranger Bob is, since the line from him to the tower is the hypotenuse.
Let x = the hypotenuse
sin 40 = 45/x
x = 45/sin 40
x ≈ 70.01 (to the nearest hundredth)
Simplify 8^2/3 -√9×10^0+(1/144)^-1/2
Answer:
13
Step-by-step explanation:
We have the following expression:
[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]
If we do part by part, we have remains:
[tex]8^{\frac{2}{3} }[/tex] = 4
8 = 2^3
Therefore, the exponents 3 * 2/3 = 2 are multiplied
2^2 = 4
[tex]\sqrt{9}*10^{0}[/tex] = 3
We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3
[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12
When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.
So, we have:
4 - 3 + 12 = 13
[2x + 3y = 1][5x - 4y = 14]
Answer:
x = 2
y = - 1
Step-by-step explanation:
Please see the step by step solution in the picture attached below.
Hope it can help you. Have a nice day!
4 inches 6 inches and 9 inches
v= in3
Answer:
what are you asking the total or what
Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?
Answer:Perimeter, 50ft
Step-by-step explanation:since it is around the answer is 50 ft
FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
fav singer??
I like XXXTentacion and Trippie Redd
Answer:
Samee
Step-by-step explanation:
Answer:
TIAGZ
and Billie Eilish
DABABY
Step-by-step explanation:
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
Answer:
The solution of the equation is 3.3 and (-0.3).
Step-by-step explanation:
We need to find the exact solution of the given quadratic equation [tex]x^2-3x-1=0[/tex].
If the quadratic equation is in the form of [tex]ax^2+bx+c=0[/tex], then the solution of this equation is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
On comparing the given equation with this above, it means, a = 1, b = -3 and c = -1.
So,
[tex]x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4\times 1\times (-1)} }{2\times 1}\\\\x=\dfrac{-(-3)+\sqrt{(-3)^{2}-4\times1\times(-1)}}{2\times1}, \dfrac{-(-3)-\sqrt{(-3)^{2}-4\times1\times(-1)}}{2\times1}\\\\x=3.3, -0.30[/tex]
So, the solution of the equation is 3.3 and (-0.3).
Answer:
1
-3
-1
Step-by-step
got it 100% correct
Whats the answer plz??
Answer:
C
Step-by-step explanation:
Absolute Value is the distance from 0, so when you have -|22| that means its the absolute value of 22 then add the negative sign so that means it's further from 0 than |-22|.
I hope this will help.
To divide two powers with the same base, (fill the blank)
the exponents.
PLEASE HELP!
Evaluate the expression 5(7 − 4)2 ÷ 3 + 11.
Answer:
26
Step-by-step explanation:
5(7 − 4)^2 ÷ 3 + 11.
PEMDAS says parentheses first
5(3)^2 ÷ 3 + 11.
Then exponents
5 (9)÷ 3 + 11.
Multiply and divide from left to right
45 ÷ 3 + 11
15 +11
26
The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...
The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.
What is a cylinder?
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?We substitute our values into the expression above.
V = π × r² × h
V = 3.14 × (6.5ft)² × 11ft
V = 3.14 × 42.25ft² × 11ft
V = 1459ft³
The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.
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the graphs of f(x)=-2x and g(x)=(1/2)^x are shown. what are the solutions to thr equation -2x=(1/2)^x? select each correct answer.
-2
-1
2
4
Answer:
-2Step-by-step explanation:
hello :
f(x)=-2x and g(x)=(1/2)^x
f(-2)=-2(-2) =4
g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4
Approximate the real zeros of f(x)=x2+3x+1 to the nearest tenth.
I hope this helps you.
Answer:
A on Edg
Step-by-step explanation:
:)
What is the slope of the line
the slope of the line above is -2
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
Slope is often called rise/run.
This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.
Compare the two shown points. From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3. This is simplified to 2.
Answer:
C
Step-by-step explanation:
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answer:
Step-by-step explanation:
The compound amount formula for continuous compounding is
A = Pe^(rt), where P is the initial amount, r is the interest rate as a decimal fraction, and t is the time in years. Here we have:
A = $11,000e^(0.048*17) = $24,875.80
Rounding this off to the nearest ten dollars, we get $24,880.
The amount of money that should be in the account after 17 years is $24,875.80.
Calculation of the amount of money:Since Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. And, there is 17 years
So, the amount should be
A = $11,000e^(0.048*17)
= $24,875.80
= $24,880
hence, The amount of money that should be in the account after 17 years is $24,875.80.
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