Answer: The sum of the numbers from 1 to 400 that are divisible by 11 is equal to $11 \cdot 666 = 7326$.
Step-by-step explanation:
To find the sum of all the natural numbers from 1 to 400 that are not divisible by 11, we can first find the sum of all the natural numbers from 1 to 400, and then subtract the sum of all the natural numbers from 1 to 400 that are divisible by 11.
The sum of the natural numbers from 1 to 400 is equal to $\frac{400 \cdot 401}{2} = 80150$.
There are 400/11 = 36 numbers that are divisible by 11 between 1 and 400, inclusive. The sum of these numbers is equal to $11 + 22 + 33 + \dots + 396 = 11(1 + 2 + 3 + \dots + 36)$. The sum of the first 36 natural numbers is equal to $\frac{36 \cdot 37}{2} = 666$. Therefore, the sum of the numbers from 1 to 400 that are divisible by 11 is equal to $11 \cdot 666 = 7326$.
Subtracting the sum of the numbers that are divisible by 11 from the sum of all the numbers from 1 to 400 gives us a final answer of $80150 - 7326 = 72824$. This is not equal to 35840, as stated in the problem.
Answer:
The sum is 72874--------------------------------
Use the sum of the first n terms formula for an AP:
[tex]S_n=n(t_1+t_n)/2[/tex]The sum of all natural numbers from 1 to 400:
[tex]S_{400}=400(1+400)/2=200*401=80200[/tex]The greatest natural number less than 400 but divisible by 11:
400/11 ≈ 36Sum of the numbers divisible by 11:
1*11 + 2*11 + ... + 36*11 = 11(1 + 2 + ... + 36) = 11*36*(1 + 36)/2 = 11*18*37 = 7326Sum of the numbers not divisible by 11:
80200 - 7326 = 72874What is the surface area of the rectangular prism?
Answer:
250m² drawing a model or visualizing it would help
After eating dinner at a restaurant, your bill before tax and tip was $72.50. The sales tax rate is 8% and you decide to leave a 20% tip based on the bill after tax was added. What is the total cost of the dinner?
Answer:
77.40
Step-by-step explanation:
Which values of x are solutions of the inequality?
8 + 3x < 5x - 10
x=0
x=4
x= 9
x= 15
Answer:
[tex]x=15[/tex]
Explanation:
Solving the inequality for x would give you [tex]x>9[/tex], therefore, [tex]x=15[/tex] would be the only option. While you might think [tex]x=9[/tex] should also be a solution, it would only be one if [tex]x\geq 9[/tex].
Hope this helps! :)
The time t(in minutes) required to empty a tank of wastewater varies
inversely with the rate r (in gallons per minute) of pumping. The constant of
variation is 56. Find the time it will take to empty the tank when the rate is 4
gal/min
O A. 14 minutes
O B. 52 minutes
O .
C. 224 minutes
O D. 0.07 minutes
Answer:
A.
Step-by-step explanation:
answer A. 14 minutes is your answer
Can someone plz help me pictures inserted
At a local volleyball game, 330 tickets were sold. Adult tickets were sold for $25.00 each, and youth
tickets were sold for $18.00 each. If ticket sales totaled $7,480.00, how many adult tickets and how many
youth tickets were sold?
O 174 adult, 156 youth
O 220 adult, 110 youth
O 253 adult, 77 youth
O 266 adult, 64 youth
Answer:
the second one 220 and 110
Step-by-step explanation:
220*25+110*18
Answer:
the answer is B. 220 adult,110 youth
Step-by-step explanation:
Hope this helps
please help asap
will give brainliest
Answer: 109 it says 109 in the corner of b and d
-|-5| what is the absolute value
Answer:
-5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
negative times negative equals positive
The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate, x
(gal/hr)
Time, y
(hours)
60
300
45
400
36
500
30
600
How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?
100 hours
150 hours
180 hours
200 hours
Answer:
C
Step-by-step explanation:
The number of hours to fill the pool will be 180. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.
Flow rate (gal/hr) Time (hours)
x y
60 300
45 400
36 500
30 600
Then the amount of liquid in the pool will be
⇒ 60 x 300
⇒ 18,000 gallons
If this much liquid is filled with hose that has a rate of 40 gallons per hour, then the number of hours will be
⇒ 18,000 / 40
⇒ 450 hours
Then the number of hours if two hoses are used to fill the pool that one has a rate of 40 gallons per hour and one has a rate of 60 gallons per hour will be
1/T = 1/450 + 1/300
1/T = 1 / 180
T = 180 hours
Then the number of hours to fill the pool will be 180.
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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The first year Eleanor organized a fund-raising event,
she invited 30 people. For each of the next 5 years,
she invited double the number of people she had
invited the previous year. If f(n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f?
divide by 120000÷600
Answer:
120000/600
200 is your answer
hehehehehehelppppppppp
Answer:
19.25 cm.
Step-by-step explanation:
I multiplied 7.7 by 2.5 and got 19.25 cm. Plus, you should have a higher chance of getting it right since it measures 7.7 cm in length
(For the people who need the actual answer, It's 19.25 ft.)
help pls it is in the picture
Answer:
come back
Step-by-step explanation:
HELP QUICK
What is the solution to the equation square root n = square root 3n - 3 + 1
n=-4, n=-1
n=-1
n= 1
n = 1, n = 4
Answer: it's c
n = 1
Step-by-step explanation:
If UM =23 then MW=
No links please
Answer:
23
Step-by-step explanation:
because m is the midpoint and it divides line uw in two equal parts
This is because for any parallelogram, the diagonals always bisect each other. This means the diagonals cut each other in half. The two halves are the same length. This is why UM = MW. It also means TM = MV.
What is the total mass of 9 dog bones?
Answer:
whats the mass of 1 dog bone
have a good day :)
Step-by-step explanation:
Help desperatlu6(5x-3)
[tex]6(5x-3)[/tex]
Distribute:
[tex](6)(5x)+(6)(-3)[/tex]
[tex]=\fbox{30x - 18}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{6(5x - 3)}[/tex]
[tex]\text{DISTRIBUTE 6 WITHIN the PARENTHESES}[/tex]
[tex]\mathsf{= 6(5x) + 6(-3)}[/tex]
[tex]\mathsf{= 30x - 18}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{\mathsf{30x - 18}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
how are algebraic expressions used to represent and solve problems
Answer:
How are algebraic expressions used to represent and solve problems?
The purpose of solving an algebraic expression in an equation is to find the unknown variable. When two expressions are equated, they form an equation, and therefore, it becomes easier to solve for the unknown terms. To solve an equation, place the variables on one side and the constants on the other side.
Step-by-step explanation:
How can you use algebraic expressions to solve problems?
To solve an algebraic word problem:
1. Define a variable.
2.Write an equation using the variable.
3.Solve the equation.
4.If the variable is not the answer to the word problem, use the variable
to calculate the answer.
How are algebraic expressions applied in real life situations?
utilizing linear algebra, and this uniqueness starts to expose a lot of applications. Other real-world applications of linear algebra include ranking in search engines, decision tree induction, testing software code in software engineering, graphics, facial recognition, prediction and so on.
What is algebraic expression why it is used in mathematics?
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3×2 − 2xy + c is an algebraic expression.
Find the measure of angle A,
|
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6 281034 900175">
240
fruit
Which equation correctly solves the formula of r? 4πr^2h
The equation that correctly solves the formula of r is r = [tex]\sqrt{\frac{A}{4\pi } }[/tex]
How can the value of r be computed?The concept here is the concept of subject of the formula.
The variable being calculated is the formula's subject. On one side of the equals sign, it is identifiable as the letter on its own. For instance, the subject of the formula for the area of a rectangle is A = b h (area = base height).
The formula given was A=4πr^2h, then we can r the subject of the formula as
r^2 = A /4π
Then r = [tex]\sqrt{\frac{ A }{4\pi } }[/tex]
Therefore, option B iscorrect.
Learn more about equation at:
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missing options:
A) r = 4πA B) r = A 4π C) r = A 4π D) r = A 4π
What is the value of k and why?
9514 1404 393
Answer:
(c) π/2
Step-by-step explanation:
We know the sine of an angle is the cosine of its complement, and vice versa. The complement of angle x is (π/2-x), so ...
sin(π/2 -x) = cos(x)
This is shown by the attached graph.
What is the volume of the cone pictured? (Use 3.14 for pi)
9514 1404 393
Answer:
(d) 923.16 mm³
Step-by-step explanation:
The volume can be found by putting the given numbers into the volume formula.
V = 1/3πr²h
V = 1/3(3.14)(7 mm)²(18 mm) = 923.16 mm³
Which of the following ordered pairs are located exactly five units from (-1, 2)? Select all that apply.
(-1,7)
(-1,-3)
(-6, -1)
(-6,2)
(2,4)
Answer:
(-1,-3) and (-1,7)
Step-by-step explanation:
The x axis remains at the point -1 so u must see the -3 and 2 or the 7 and 2 which means both are correct . I’m not confident this is right but I tried.
Answer:
(-1,7)
(-1,-3)
(-6,-2)
Step-by-step explanation:
Helllppppppppppppppppppp
Answer: 1200 apples
Divide 100% by 35% to get the multiplier 2.85714285714 (35(s) within 100), and then multiply that by 420 apples to get 1200 apples.
A rectangular room measures 12 feet by 10 feet. How many square yards of carpet are needed?
help help help help help help
Answer:
it is D :)
Step-by-step explanation:
Choose 3 values for x that would make this inequality true. 24 > 2 ( x + 2)
leila says that 75% of a number will always be greater than 50% of any other number
support
75% of ____>50% of _____
refute
75%of ____ < 50% of_____
Answer:
it is not always true that 75% of a number will be greater than 50% of any other number
Step-by-step explanation:
Leila's statement is not true. It is possible for 50% of a number to be greater than 75% of another number.
For example, consider the numbers 10 and 100. 50% of 10 is 5, and 75% of 100 is 75. In this case, 50% of 10 (5) is greater than 75% of 100 (75).
Here's another example: 50% of 20 is 10, and 75% of 30 is 22.5. In this case, 50% of 20 (10) is again greater than 75% of 30 (22.5).
Therefore, it is not always true that 75% of a number will be greater than 50% of any other number.
Which of the following has kinetic energy?
O A. Food
O.B. Motion
OC. Gravity
OD. Light
Answer:
light
Step-by-step explanation:
it has kinetic energy
Answer:
Step-by-step explanation: Kinetic energy is made because of movement. So Motion would be the correct answer