Answer:
ñ = -1
Step-by-step explanation:
2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers
Answer:
(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Step-by-step explanation:
(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n + (n+1) < 1000[/tex]
[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)
Then we solve the inequation by algebraic means:
[tex]2\cdot n < 999[/tex]
[tex]n < \frac{999}{2}[/tex]
[tex]n < 499.5[/tex]
Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n+(n+1)+(n+2) < 1000[/tex]
[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)
Then we solve the inequation by algebraic means:
[tex]3\cdot n < 997[/tex]
[tex]n < \frac{997}{3}[/tex]
[tex]n < 332.333[/tex]
Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]
[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)
Then we solve the inequation by algebraic means:
[tex]5\cdot n <990[/tex]
[tex]n < \frac{990}{5}[/tex]
[tex]n < 198[/tex]
Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Find the value of the expression. x + y + 5 where x = 3 and y = 4
Answer:
12
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$340 for 18 ft2
Answer:
18.89
Step-by-step explanation:
340/18=18.8888
18.888 to the nearest hundredth is 18.89
what is the dit between -4 and 6
Find the value of x. Then find the measure of each labeled angle.
Answer:
1. 70
2. 30
Step-by-step explanation:
ok, so we first know that x+(x-40)+90+90=360, so if we simplfy, we will get x+x+40=180, and 2x=140, so x is 70. 70-40 is 30.
HELP ME FIND SLOPE RATE CHANGE WILL GIVE BRAINLIEST
Answer:
1. RS= slope of 5/2
2. Pt= slope of -6/1 or -6
3.PQ= slope of 1/5
4. TS=slope of 0
5. QR= slope of -1/2
Step-by-step explanation:
Rise / run then simplify
How do you write 3.684 × 103 in standard form?
50 POINTS PLS HELP!!!!
Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH?
A: A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
B: A segment that does not pass through the center of dilation in the pre-image is parallel to its corresponding segment in the image.
C: A segment in the image has the same length as its corresponding segment in the pre-image.
D: A segment that does not pass through the center of dilation in the pre-image is perpendicular to its corresponding segment in the image.
Answer:
Answer choice C.
Step-by-step explanation:
According to this author, the stories about Nancy Hart . As a result, they are to the study of Georgia’s past.
ill mark you brailiest
Answer:
According to this author, the stories about Nancy Hart
✔ likely have some basis in truth
.
As a result, they are
✔ very important
to the study of Georgia’s past
Step-by-step explanation:
I just took it on Edge 2020
which equation represents a proportional relationship?
Answer:
y = 1 - 1/3x
Step-by-step explanation:
10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(
Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?
a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.
b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.
d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.
Answer:
Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.
Mark as brainliest if it's correct!
ILL GIVE YOU A BRAILLEST???
Answer:
K= 4
Step-by-step explanation:
Cross multiply
Answer:
k = 4
Step-by-step explanation:
To solve ANY proportion, you can cross multiply. For example, in this case, you can multiply 7 x 32 and k x 56. Remember, a proportion is always equal, so 7 x 32 = k x 56. That means 224 = 56k. Which means k = 4. Hope that helped!
PLS HELP ME
It takes Li 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. How many miles can he drive in 5 hours?
If the Washington Monument is 3025 square feet and an average gallon of paint covers 400 square feet, how much paint would it take to cover it all up? PLEASE HELP WILL GIVE BRAINLIEST. I’m also wondering how I would go about solving this? I have a lot more.
Divide total area by area of a gallon of paint:
3025 / 400 = 7.56
Because there is a decimal answer you need to round up tot he next whole number.
You would need 8 gallons of paint.
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
Answer:
27
Step-by-step explanation:
6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.
ill give brainliest please help.
Answer:
A = 5
Step-by-step explanation:
Cuanto es 1/4 en pedazos?
Answer:
1/4 en pedazos seria 1/4 en pedazos
Step-by-step explanation:
la pregunta no tiene sentido
Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".
Step-by-step explanation:
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes
If f(x) = 4x^5 + 5x^3 +3, then what is the remainder when f(x) is divided by
X+2?
Answer: x2 + 4x + 9 on top, with a remainder of r(x) = 30
Step-by-step explanation:
The remainder of the division of the given polynomial by (x +2) is; -165.
What is the remainder of the division of the Polynomial by (x -2)?It follows from the task content that the remainder of the polynomial division is required.
On this note, the remainder of the division is the f(x) at x= -2.
f(-2) = 4(-2)⁵ + 5(-2)³ +3 = 4(-32) + 5(-8) + 3
f(-2) = -165.
Read more on remainder from polynomial division;
https://brainly.com/question/24662212
- 2x² + 9x + 15 = 0
Answer:
x1= -1.29436 x2= 5.79436
Step-by-step explanation:
What's the range in the question below. Please answer one of the answer choices.
Answer:
yo I'm doing the same thing
2. Which of the following gives a valid reason for using the given
solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation li: 2x + 3y = 2
a Elimination; a coefficient in Equation is an integer multiple of a coefficient
in Equation II.
b Elimination; a coefficient in Equation II is an integer multiple of
a coefficient in Equation 1
c Substitution; equation I can be solved for x in one step by dividing both
sides by 4
d Substitution; equation can be solved for x in one step by subtracting 3y
from both sides.
Answer:
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient
in Equation II.
Step-by-step explanation:
4 is a multiple of 2. Therefore, the answer would be A.
7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements
Answer:
w=14
Step-by-step explanation:
-8(w + 1) = -5(w + 10)
Remove the parentheses
-8w-8+-5w-50
Move terms
-8w+5w=-50+8
Collect like terms and calculate
-3w=-42
Then divide on both sides
Which fraction/decimal is greater
Answer:
-5.25>-5 3/10
Step-by-step explanation:
let's convert -5 3/10 into a decimal
which is
-5.3 or -5.30
-5.25 and -5.30
because it's negative, the lowest number is the greatest number so
-5.25 is greater than -5.30
If x= time in minutes, y= distance in miles, and y=1/6x. How far can you run 5 points
in 30 minutes?*
Answer:
You can run 5 miles in 30 minutes.
Step-by-step explanation:
y = [tex]\frac{1}{6}[/tex] x
y = [tex]\frac{1}{6}[/tex] (30)
y = 5 miles
You can run 5 miles in 30 minutes.
what does zero stand for
A plumber charges $50 to make a house call. He also charges $25 per hour for labor. If the bill from the plumber is $162.50.
How many hours did the plumber work at your house?
(30 points!) list the angles least to greatest
Answer:
Step-by-step explanation:
A
Select the correct answer. Kylie has finished creating her résumé. What should be her final step to complete the résumé? A. include a photograph B. include her contact details C. proofread the document D. mention her age
Answer:
C. Proofread the document
Step-by-step explanation:
All of the other steps should have already been done when she was creating her résumé. Hope this helps!
If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time? (Round to two decimal places)
Answer: $96.15
Step-by-step explanation:
If you study an extra 10 hours per week, for 52 weeks, in total you studied 52 times 10 hours, this is:
52*10 h = 520h hours.
Now, for these 520 hours of hard work, you earn a scholarship valued (in total) at $50,000.
Then how much is worth each one of these 520 hours?
Let's take divide the value of the scholarship evenly into the 520 hours:
$50,000/520h = $96.15.
This means that the hourly return is $96.15
