What is the smallest three-digit number that has a digit sum of 8?

Answers

Answer 1

Answer: Three-digit number made up of
- Hundreds digit
- Tens digit
- Digits unity
We denote it as HTU
The numbers seemingly available to the number 8 - 1 = 7 0,1,2,3,4,5,6,7

Explanation
At the beginning can not be zero , the smallest is the number one
H = 1
hundreds digit indicates
1 * 100 Unity
2 * 100 Unity
3 * 100 Unity ........
because we wrote the lowest possible
.................................
T - at the scene of tens of type 0
Explanation
the tens digit is 1 * 10 unity
2 * 10 unity
3 * 10 unity ........
because we wrote here a value of 0

the smallest value in number there is unity U and there you enter the digit 7

digit unity means
1 * 1 unity
2 * 1 unity
3 * 1 unity ........
because we wrote here a value of 7
because we wrote here a value of 0
Answere 107

Answer 2

Answer: 107

1+0+7=8

If you can put 008 then that would be even smaller.

Answer:

The set builder notation of P is:

P= { x∈N | 1 ≤ x ≤ 100 }

Step-by-step explanation:

Set-Builder notation--

A set builder notation is a representation of a variable in the form of a set such that it states all the properties that are satisfied by it.It may also be used to represent a interval notation of some variable.

i.e. if x∈ (-10,3)

Then the set builder notation is:

{x ∈ R | -10 < x < 3 }

Here we are given a set P as: It consists of all natural numbers between 1 and 100, inclusive.

i.e. it takes all natural values from 1 to 100 and also it may take 1 and 100.

Hence, the set-builder notation of P is:

P= { x∈N | 1 ≤ x ≤ 100 }

A family has 8 girls and 4 boys. A total of 2 children must be chosen to speak on the behalf of the family at a local benefit. What is the probability that 1 girl and 1 boy will be chosen?A. 2/11
B. 1/6
C. 2/33
D. 16/33

Answers

Probability is all about multiplying fractions.

The first fraction is the probability of picking a girl.. so how many of the 12 total children are girls. (8/12)

The second fraction is the probability of picking a boy.. so how many of the 11 remaining children are boys. (4/11)

8/12 X 4/11 = 8/33 -> this isn't even an option but I'm like 10000% this is the right answer..

I started off this answer feeling so confident lol. good luck.

D. 16/33

because there are 28 g/g pairs, 6 b/b pairs, and 32 g/b pairs. In total 66 pairs, and of those pairs 32/66 are 1 girl and 1 boy, reduced is 16/33.

Determine whether the sequence converges or diverges. if it converges give the limit. 48, 12, 3, 3/4, ...

Answers

The sequence converges.
The limit of the sequence is 0.

-------------------------------------------------------------

This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.

Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 295 square yards. The situation is modeled by the equation h^2 + 5h = 295. Use the Quadratic Formula to find the height that will give the desired area. Round to the nearest hundredth of a yard. A: 17.36 yards
B: 600 yards
C: 14.86 yards
D: 29.71 yards

Answers

Answer:

The height is 14.86 yards ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The flower garden in the shape of a trapezoid

- The shorter base to be 3 yards greater than the height

- The longer base to be 7 yards greater than the height

- The area must be 295 square yards

- The situation is modeled by the equation h² + 5h = 295

- We want to find the height that will give the desired area by using

the quadratic formula

- The quadratic formula is $h=\frac{-b+-\sqrt{b^(2)-4ac}}{2a}$ ,

where a is the coefficient of h² and b is the coefficient of h and c

is the numerical term

- The equation of the area is h² + 5h = 295

∵ h² + 5h = 295

- Subtract 295 from both sides

∴ h² + 5h - 295 = 0

- Lets find the values of a , b and c from the equation

∵ a = 1 , b = 5 , c = -295

∴ $h=\frac{-5+-\sqrt{(5)^(2)-4(1)(-295)}}{2(1)}$

∴ $h=(-5+-√(25+1180))/(2)$

∴ $h=(-5+√(1205))/(2)=14.86$

- OR

∴ $h=(-5-√(1205))/(2)=-19.86$

- The dimensions of any figure must be positive value, then we will

neglect the negative value of h

∴ h = 14.86

* The height is 14.86 yards

Answer:

C: 14.86 yards

Step-by-step explanation:

to solve a quadratic equation we need to make it equal to zero and then use the Quadratic Formula

$x= \frac{-b + \sqrt{b^(2)-4ac}}{2a} / \frac{-b - \sqrt{b^(2)-4ac}}{2a}$

having

$h^(2) +5h-295=0$

we have

a=1

b=5

c=-295

the answers for the formula are

h=14.85 and h=-17.36

as we are looking for a distance we can only take the positive answer, then

h=14.85

Hardcover books are on sale for 15% off. Louise has chosen a hardcover book that normally sells for $20.00. How much will Louise save? Explain your answer.