MATHEMATICS HIGH SCHOOL

Can someone help me please!!!Let N be the least postive integer whose digits sum to 2018. Compute the sum of the digits of N+1.

Answers

Answer 1

Answer:

Answer: 3

Explanation:

Since we want the least number of integers, divide by the largest integer (9).

2018 ÷ 9 = 224 remainder 2

So, N = 2999...999 (there are 224 of the 9's)

Thus, N + 1 = 2999...999 + 1 (there are 224 of the 9's)

= 3000...000 (there are 224 of the 0's)

The sum of the digits is: 3 + 0 + ... + 0 (there are 224 of the 0's)

= 3

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The length of an arc of a circle is equal to 1/5 ofthe circumference of the circle. If the length of
the arc is 2π, the radius of the circle is

Answers

The radius of the circle is 5 units.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The arc of a circle is defined as the part or segment of the circumference of a circle.

Let r be the radius of the circle.

The length of an arc of a circle = 2π

Circumference of the circle = 2πr

The length of an arc of a circle is equal to 1/5 of the circumference of the circle

⇒ $2\pi =(1)/(5) 2\pi r$

⇒ $r=(2\pi (5))/(2\pi )$

⇒ r = 5 units

Hence we can conclude that the radius of the circle is 5 units.

Learn more about circles here

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length of arc = 2π
circumference of circle = 5 . 2π = 10π since the arc is 1/5 of the circumference
C =2πr
r = C/2π = 10π/2π = 5

A series of books has 20 volumes, each with 600 pages. What is the total number of pages in the series?

Answers

12,000 i think is the answer

12000 as 20 times 600

The functions f(x) and g(x) are shown below:f(x) = 0.05x
g(x) = (0.05)x

Which statement best describes the graph of f(x) and g(x)?

Answers

where is the graph or can u explain it a little more so i can help u

What is the value of y in the equation 2(3y-4)=10

Answers

$2(3y-4)=10\ \ \ |divide\ both\ sides\ by\ 2\n\n(2(3y-4))/(2)=(10)/(2)\n\n3y-4=5\ \ \ \ \ |add\ 4\ to\ both\ sides\n\n3y=9\ \ \ \ \ |divide\ both\ sides\ by\ 3\n\n\boxed{y=3}$

If you distribute the 2 on the left you end up with

6y-8=10

then add 8 to both sides

6y=18

then divide by 6 on both sides

y=3

and if you plug it back in it should equal 10

2((3)(3)-4)=10

10=10

Peter drove 300 miles in 5 hours. Jane drove 400 miles in 8 hours. Who drove at a higher speed?

A.
Jane

B.
Peter