100 and 101
the two integers are n and n+1. this means that 2n+1=201. n=100 and n+1=101
Approximately how much interest will accrue before next month's bill if Jill owes $4,500
on her credit card and it charges 21 percent annually?
Answer:78.75
Step-by-step explanation:21 percent of 4500 945 divided my 12 which is 78.75
2x + 1 =5
What does x=
Answer:
2
Step-by-step explanation:
2x + 1 =5
2x=4
x=2
First isolate the term containing x which is 2x.
Subtract 1 from both sides to get 2x = 4.
Since x is being multiplied by 2, divide both sides by 2 and we have x = 2.
I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
5789 he has that much holp this helps
For for x.Help plz:) -2x+6=10
Answer:
x=-2
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−2x+6−6=10−6
−2x=4
Step 2: Divide both sides by -2.
−2x=4
A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below 72. Ricky has recorded his score for each of the 5 rounds.
Strokes - how many times a player swings the club or hit the ball
Round ------------------------------------------------1 2 3 4 5
Number of Strokes Above or Below 72 -5 +6 -2 +4 +5
Write an expression to represent Ricky's total number of strokes for the five rounds.
What was his average number of strokes per round? Show your work.
Answer:
(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5
(B) 73.6
Step-by-step explanation:
The question is clear enough. Kudos!
So there are many players but we're focusing on Ricky.
Ricky has already recorded his score for each of the 5 rounds in the tournament.
The number of strokes in Ricky's record are to be added to or subtracted from a given number 72
ROUND 1: [72 - 5] strokes = 67
ROUND 2: [72 + 6] strokes = 78
ROUND 3: [72 - 2] strokes = 70
ROUND 4: [72 + 4] strokes = 76
ROUND 5: [72 + 5] strokes = 77
(A) Write an expression to represent Ricky's total number of strokes for the five rounds.
Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!
You are already given an abstract number '72' to work with in this question.
It is a fixed quantity which influences the value of strokes for each round.
We will represent this by an algebra, if we have to create the above required expression.
The expression will then be:
∫₁⁵[Xₙ + k] where n ranges from 1 to 5
You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.
X₁ would be -5, X₂ would be +6, X₃ would be -2, X₄ would be +4, X₅ would be +5
K is the constant 72
(B) What was Ricky's average number of strokes per round?
Out of the 5 rounds, the average number of strokes per round would be
[67 + 78 + 70 + 76 +77] ÷ 5
= 368/5 = 73.6
What is the 72nd term of the arithmetic sequence {an}={1.4,5.5,9.6,13.7,...}
Answer:
292.5Step-by-step explanation:
Given the sequence 1.4,5.5,9.6,13.7,...
The nth term of am arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
From the given data;
a = 1.4
d = 5.5-1.4 = 9.6-5.5 = 4.1
n = 72 (since we are looking for the 72nd term)
Substitute;
T₇₂ = 1.4+(72-1)(4.1)
T₇₂ = 1.4+71(4.1)
T₇₂ = 1.4+291.1
T₇₂ = 292.5
Hence the 72nd term of the sequence is 292.5
Consider points A(2,3) and B(6,9). Find point C on the x-axis so AC + BC is a minimum. The point that minimizes AC + BC is C ( , ).
Answer:
the point C(x,0) = C(3,0) is the point where AC + BC is minimum.
Step-by-step explanation:
Solution:
This question is very simple to solve.
We need to find the x and y elements of point C, which is on the x-axis such that AC + BC = minimum.
So,
As, we have said that, point C is on the x-axis then, it means its y co ordinate will be equals to zero.
Now, we just need to find x co ordinate of the point C.
C (x, 0) as it is on the y -axis.
So, for that, we need to take the mirror image of point B. It means, its x co-ordinate will remain same but y co-ordinate will be negative.
So, our mirror image of B(6,9) = B'(6,-9)
Now, we have to join the points A and B'. Point C, which we are trying to find is the point where this line AB' intersects with x - axis.
So,
Slope of the line AB'
m = [tex]\frac{y1-y2}{x1-x2}[/tex]
m = [tex]\frac{3- - 9}{2 - 6}[/tex] = [tex]\frac{3+9}{2-6}[/tex]
m = [tex]\frac{12}{-4}[/tex] = -3
m = slope = -3
We also know that the equation of line:
y = mx + b
where b = y-intercept.
Now, we need to find the y - intercept of this line.
y = (-3) x + b
where y = -9 and x = 6
so,
-9 = (-3) (6) + b
b = -9 + 18
b = 9 = y - intercept.
SO,
y = mx + b
and For point C(x, 0) y = 0
0 = -3x + 9
Solve for x:
3x = 9
x = 3
Hence, the point C(x,0) = C(3,0) is the point where AC + BC is minimum.
Ralph Chase plans to sell a piece of property for $160000. He wants the money to be paid off in two ways −a short-term note at 9% interest and a long-term note at 7% interest. Find the amount of each note if the total annual interest paid is $12900.
The amount of the 9% note is $___ and the amount of the 7% note is $___?
Answer:
9%=15,000
7%=12,000
thats what i think.
Answer:
The amount of 12% note is $90,000
The amount of 9% note is $80,000
Step-by-step explanation:
Missing word "The amount of the 12% note is $ and the amount of the 9% note is $"
Selling price = $170,000
Let x be the amount of money paid short term, therefore the amount of money paid long term is (170000 - x)
Given total annual interest = $18,000
Total annual interest = Interest due to short term (x) + interest due to long term (170000 - x)
18,000 = 0.12x + 0.09*(170000 - x)
18,000 = 0.12x + 15,300 - 0.09x
18,000 = 0.03x + 15,300
0.03x = 18,000 - 15,300
0.03x = 2,700
x = 2,700/0.03
x = 90,000
So, the amount of 12% note is $90,000
So long term paid money = $170,000 - $90,000 = $80,000
So, the amount of 9% note is $80,000
Step-by-step explanation:
7x+3y=-21 in slope intercept form
Answer:
[tex]y= -\frac{7}{3}x -7[/tex]
Step-by-step explanation:
Answer:
y
=
−
7
3
x
−
7
Step-by-step explanation:
Brainliest?
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Answer:
6570
Step-by-step explanation:
18x365=^
Amy went bowling at the Links Bowling Center. Shoe rental was $1.75 and games were $2.50 each. She has $20.00. What is the maximum number of games that Amy can bowl?
Answer:
She can play a total of 7 games.
Is y=x^2 a fraction?
Answer:
Nope
Step-by-step explanation:
It's a exponent, x^2 means x*x so it's actually a function
The radius of a right circular cone is increasing at a rate of 2 inches per second and its height is decreasing at a rate of 4 inches per second. At what rate is the volume of the cone changing when the radius is 10 inches and the height is 20 inches
Answer:
The volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]
Step-by-step explanation:
Let r be the radius of cone and h be the height of cone
[tex]\frac{dr}{dt}=2 in/s[/tex]
[tex]\frac{dh}{dt}=-4 in/s[/tex]
We have to find the rate at which the volume of cone changing when r=10 in and h=20 in
Volume of cone
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}\pi (2rh\frac{dr}{dt}+r^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}\pi(2\times 10\times 20\times 2+(10)^2\times (-4))[/tex]
[tex]\frac{dV}{dt}=\frac{1}{3}\pi(400)=\frac{400}{3}\pi in^3/s[/tex]
Hence, the volume of cone changing at rate [tex]\frac{400}{3}\pi in^3/s[/tex]
The sum of two integers is +15 and one of them is - 7. Which is the next integer?
(a)
| Math Links Book 7
Earlohydrata Giuse
Sodium / Sodium 50 mg
Answer:
22
Step-by-step explanation:
Sum of two integers is 15. One integer is -7 and suppose other integer is x. Then
x+(-7)=15
x=22
Evaluate the expression 2x + 3; if x = 3
Answer: 9
Step-by-step explanation:
2x+3
2(3)+3
6+3
9
We know the value of x. We just have to substitute 3 in x in the equation.
2(3) + 3
6 + 3
9
9 is your answer. I hope this helps! Let me know if you need more help!
A system of equations that consist of parallel lines has
all the answers that apply)
.. (select
2
no solutions
an infinite number
of solutions
one solution
Answer:
no solutions or infinite solutions
Step-by-step explanation:
A group of friends were working on a student film that had a budget of $1200. They used 63% of their budget on equipment. How much money did they spend on equipment?
Answer:
0.63
Step-by-step explanation:
The cable company takes an SRS of 250 of the approximately 15,000 households who subscribe to them. They found that 75, percent of the sampled households watch sports on television at least once a month. The company is considering taking more samples like this. Suppose that it is actually 70, percent of their total subscribed households who watch those sports.
Let p represent the proportion of a sample of 250 households that watch sports on television at least once a month.
What are the mean and standard deviation of the sampling distribution of p?
Answer:
The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029
Step-by-step explanation:
We use the Central Limit Theorem to solve this question. So
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Percentage of 70%, sample of 250.
This means that [tex]p = 0.7, n = 250[/tex]
Mean:
[tex]\mu = p = 0.7[/tex]
Standard deviation:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{250}} = 0.0290[/tex]
The mean of the sampling distribution of p is of 0.7 and the standard deviation 0.029
Answer:
μp^ = 0.7
σp^ = √0.7(0.3)/250
Step-by-step explanation:
I had this question on khans
Find the missing side of each triangle. Round your answer to the nearest tenth if necessary.
Answer:
[tex]1.\ x = 5\ in[/tex]
[tex]2.\ x = 5\ mi[/tex]
[tex]3.\ x = 8.6\ km[/tex]
[tex]4.\ x= 14.1\ mi[/tex]
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the missing sides
All 4 triangles are right-angled. So, to calculate the missing sides, we apply Pythagoras theorem which states that:
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
Solving (1):
[tex]Hypotenuse = 13[/tex]
So, we have:
[tex]13^2 = 12^2 + x^2[/tex]
[tex]169 = 144 + x^2[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = 169 - 144[/tex]
[tex]x^2 = 25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{25[/tex]
[tex]x = 5\ in[/tex]
Solving (2):
[tex]Hypotenuse = x[/tex]
So, we have:
[tex]x^2 = 4^2 + 3^2[/tex]
[tex]x^2 = 16 + 9[/tex]
[tex]x^2 = 25[/tex]
Take positive square root of both sides
[tex]x = \sqrt{25[/tex]
[tex]x = 5\ mi[/tex]
Solving (3):
[tex]Hypotenuse = 14.7[/tex]
So, we have:
[tex]14.7^2 = x^2 + 11.9^2[/tex]
[tex]216.09 = x^2 + 141.61[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2 = 216.09 - 141.61[/tex]
[tex]x^2 = 74.48[/tex]
Take positive square root of both sides
[tex]x = \sqrt{74.48[/tex]
[tex]x = 8.6\ km[/tex]
Solving (4):
[tex]Hypotenuse = 15.4[/tex]
So, we have:
[tex]15.4^2 = x^2 + 6.3^2[/tex]
[tex]237.16 = x^2 + 39.69[/tex]
Make [tex]x^2[/tex] the subject
[tex]x^2= 237.16 - 39.69[/tex]
[tex]x^2= 197.47[/tex]
Take positive square root of both sides
[tex]x= \sqrt{197.47[/tex]
[tex]x= 14.1\ mi[/tex]
Please help me solve this cryptarithm. I will be grateful and you will earn 10 points.
Step-by-step explanation:
First, S must be 4, as if S was 5 the sum would be a 4 digit number.
T+N should be greater than 10 as we want to find the maximum.
Similarly, A+U must be greater than 10, making O equal to 9
We know that A+U-10 = T+N if T+N is less than 10 -- if T+N is greater than 10, A+U-10 = T+N - 10
Writing a quick python script that's not the cleanest nor most concise, I have
import pandas as pd
sols = []
sols_combos = []
num_sols = 0
for a in range(0, 10):
for u in range (0,10):
for t in range(0,10):
for n in range(0,10):
if (len({a,u,t,n}) == 4) & (4 not in {a,u,t,n}) & (9 not in {a,u,t,n}):
if (a+u >= 10):
if (t+n >= 10):
if ((a+u-10) == (t+n-10)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
else:
if ((a+u-10) == (t+n)):
sols.append(a+u-10)
sols_combos.append([a,u,t,n])
num_sols += 1
list_max = [i for i, x in enumerate(sols) if x == max(sols)]
pd.Series(sols_combos).loc[list_max]
as my script.
the maximum I get for F is 5, and the solutions, in terms of A, U, T, and N are as follows:
[7, 8, 0, 5]
[7, 8, 2, 3]
[7, 8, 3, 2]
[7, 8, 5, 0]
[8, 7, 0, 5]
[8, 7, 2, 3]
[8, 7, 3, 2]
[8, 7, 5, 0]
This means that F is 5
5
Subtract. Write the expression below in simplest form.
(6x-2)-(-x+5)
===========================================
Work Shown:
(6x-2)-(-x+5)
6x-2+x-5
(6x+x)+(-2-5)
7x-7
When distributing the negative, don't forget to apply the negative to every term inside the parenthesis. So that means -x flips to x, while +5 flips to -5.
At a track meet , 10 different runners compete in the 1600m run.
How many different ways are there for the runners to finish? Show your work for full credit.
Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
[tex]A_{x} = x![/tex]
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
[tex]A_{10} = 10! = 3628800[/tex]
There are 3,628,800 different ways for the runners to finish.
The sum of Randy’s age and Mike’s age is 41. The difference of their ages is 7. Mike is older than Randy.
Let r represent Randy’s age and let m represent Mike’s age. Write two equations that represent the sum and difference of their ages. Part B. Find Mike’s age
Answer: 41-7=m
Mike is 34 yrs
Step-by-step explanation:
IMMEDIATE HELP PLEASE, IT IS TIMED!!!!
True or False questions
3t + 7 = 3t + 6 Has NO Solution
5x - 6 = 3x - 6 + 2x Has NO solution
5+5b - 3 = 2 + 5b Has infinity many solutions
When an equation has one solution, the variable terms on both sides are the same.
Step-by-step explanation:
True
When an equation has one solution,The variable terms on both sides are the same
Answer:
true
hope it helps
thank you.....
The GCF of 72 and 60 is 12 plz hurry I need it done today!!!
Answer:
its 12 :)
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
THE ANSWER IS 12
BRAINILIEST PLEASEfind two solutions for the equation 2x + y = 3
Answer:
x=(3-y)/2
y=3-2x)
Step-by-step explanation:
2x+y = 3
x=(3-y)/2
y=3-2x)
Answer: [tex]X =\frac{3-y}{2}[/tex] OR [tex]y = 3 - 2x[/tex]
Step-by-step explanation:
can some one help me its all the points i have :(
Answer:
-2
Step-by-step explanation:
Simplify the expression 1/6(12x-30)+18x
What is 0.42 repeating rounded to the nearest hundredth
Answer:
Step-by-step explanation:
Its 0.42
4. The highest paid weekly wage of a group of
employees is $105. If the range of wages is
$27.50, how much does the lowest paid
employee receive?
Answer:
77.5
Step-by-step explanation:
105-27.5
