Answer:
34.5 people
Step-by-step explanation:
Find the 87th term of the arithmetic sequence 1,14,27,….
Answer:
[tex]a_{87}=1119[/tex]
Step-by-step explanation:
Arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference between terms and n is the index of any given term.
Find the difference between the terms in the given sequence here:
[tex]14-1=13\\27-14=13[/tex]
Each term has a common difference of 13. Using that, you can write the equation for this sequence:
[tex]a_n=1+(n-1)13[/tex]
Finally, you can use this equation to find the 87th term by plugging in 87 for n:
[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]
1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation
PLEASE HELP!!!
Answer:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Answer:
B) add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
So you have these two equations:
2x - 4y = 6
-3x + 3y = 12
In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4
3(2x - 4y = 6)
4(-3x + 3y = 12) multiplying all the way across the equation (distributing)
We'll get
6x -12y = 18
-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.
-6x = 66 And then you are able to solve it by dividing both sides by -6 to get
x = -11
You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.
are the following expressions equivalent 5(2z+3) and (5x2)+(z+3)
Answer: yes they are
Step-by-step explanation:
PLEASE HELP ME WITH GEOMETRY <3
Answer:
answer is 25
Step-by-step explanation:
EKJ = 90, same as JHF, and EJK is 65 (because EJF =115 and 180-115=65
65+90=155
180-155=25
- The line AB has equation 5x – 2y = 7. The point A has coordinates (1, -1) and the point B has coordinates (3,k). (a) (i) Find the value of k. (ii) Find the gradient of AB. (b) Find an equation for the line through A which is perpendicular to AB. (c) The point C has coordinates (-6, -2). Show that AC has length pV2, stating the value of p.
Step-by-step explanation:
For finding k we'll have to plug in the x-value of the coordinate (3,k) into the equation, and solve for the y:
5(3) - 2y = 7
15 - 2y = 7
2y = 8
y = 4 => k =4
2) I assume the gradient is the slope of the line. If so, just isolate the y in the original equation and see what's the coefficient of the x:
-2y = -5x + 7
y = (5/2)x + 7/2 => the gradient is 5/2
3) the condition of perpendicularity is expressed by the following relation:
a * a' = -1
Where a is the slope of the first line and a' of the second line. We need to find a' that will be:
-1/a = -1/(5/2) = -2/5
The perpendicular line will be:
y = (-2/5)x + b
We need to find b, and we know that this line passes through A (1,-1):
-1 = (-2/5)*1 + b
b = -1+(2/5) = -3/5
The equation will be:
y = (-2/5)x - 3/5.
4) I don't know what that symbol means (pV2).
Determine which of the values is a solution of 4t + 6 less thank or equal to 10.
Answer:
Can you put the screen more closer to the values
Step-by-step explanation:
Or you could type in the values so i can see.
You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are walking toward your house so the distance to home is DECREASING Distance from Home In Miles Distance from Home (Miles) TO 5 Time (Hours)
Answer:
Step-by-step explanation:
If you're supposed to plot that, it would be a line from (0, 10) to (5, 0)
slope would be -2 mi/hr
Select the interval where g(2) < 0.
(graphed on khan academy)
Answer:
the number 0 Originally called finding the vertical asymptote.
hellooo merry christmas !
can someone please help mee? ik its a lot but even just a little help would be very mich appreciated :))
Answer:
Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too
Solve using substitution. (Explanation too please)
y = 7x + 2
y = 10x − 1
3* what =1 because I'm genuinely unsure
Answer:
0.3 recurring so 0.33333333333333333333333333333333333333
and....
__________________________________________________________
How to Overcome Insecurity
Step 1
The first step of Voice Therapy involves vocalizing your self-critical thoughts in the second person.You can also write down these thoughts.
Step 2
In the second step, you can start to think and talk about the insights and reactions you have to exposing these mean thoughts.
Step 3
People often struggle with the third step of this process, because it involves standing up to long-held beliefs and insecurities about oneself. You will answer back to your voice attacks, expressing your real point of view.
Step 4
In step five of Voice Therapy, you start to make a connection between how the voice attacks are influencing your present-day behaviors.
Step 5
The final step involves making a plan to change these behaviors. If insecurity is keeping you from asking someone on a date or going after a promotion, it’s time to do the actions anyway. If you’re indulging in self-hating thoughts that encourage you to engage in self-destructive behaviors, it’s time to interrupt these behaviors and unleash the real you.
Hope it help and if it did please give brainliest
Stay safe and healthy
Thank You
David has a checking account at City center Bank. During the month of April, he made deposits totaling $985.89 and wrote checks totaling $454.27 .He paid a maintenance fee of $18 and earned $2.95 in interest. His balance at the end of the month was $3,005.32. What was the balance at the beginning of April?
Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?
Answer:
88.75%
Step-by-step explanation:
add all the terms given = 355
there are 4 terms.in this set.
355 ÷ 4 = 88.75
If a constant force acts upon an object with a mass of 2 kg, the acceleration of the object is 14 m/s^2. When the same Force acts upon another object it's acceleration is 4m/s^2. What is the mass of the object?
Step-by-step explanation:
in the first object:
force = mass × acceleration = 2 × 14 = 28 N
in the second object :
force = mass × acceleration
28=mass×4
then the mass = 28/4 = 7 kg
Solve the inequality. Graph the solution.
−16>x÷2
Answer:
-32>x
Step-by-step explanation:
-16>x÷2
-16×2>x
-32>x
Use the coordinates of the labeled point to find the point-slope equation of
the line.
5
-5
-st
(2,-5)
O A. y + 5 = -4(x - 2)
B. y-2- 4(x-5)
C. y - 2 = -4(x + 5)
D. y + 5 = 4(x - 2)
The point-slope equation of the line as described by the points is; y + 5 = -4(x - 2).
What is the point-slope equation of the line?The equation of the line given in the task content in the point-slope form can be determined as follows;
Slope = (-5-3)/(2-0) = -8/2 = -4.
Hence, it follows that point-slope form of the equation of the line is; Choice A; A. y + 5 = -4(x - 2).
Read more on point-slope equation;
https://brainly.com/question/24907633
#SPJ1
Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle
Answer:
width is 4
height is 20
Step-by-step explanation:
Area=½ width × height
let the width be x
height will be 6x - 4
40 = ½ × x × (6x - 4)
40 = 2/2 × 3x² - 2x
40 = 3x² - 2x
3x² - 2x - 40 = 0
3x² -12x + 10x - 40 = 0
3x(x-4) + 10(x-4) = 0
(3x + 10)(x - 4) = 0
x = -10/3 or 4
dimension cannot be negative
x is 4
6x-4= 6(4) - 4
24 - 4
20
What is 23/9+17/9 adding fractions
Answer:
[tex]\boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for the sum of 2 fractions.}[/tex]
[tex]\large\underline{\textsf{What are Fractions?}}[/tex]
[tex]\textsf{Fractions are representations of rational numbers that can be represented as part}[/tex]
[tex]\textsf{of a whole number.}[/tex]
[tex]\underline{\textsf{What are the parts of a fraction?}}[/tex]
[tex]\textsf{Fractions have 2 parts, they're called the Numerator and the Denominator.}[/tex]
[tex]\frac{\sf Numerator}{\sf Denominator}[/tex]
[tex]\textsf{The Numerator represents the amount of equal parts a certain rational number}[/tex]
[tex]\textsf{has compared to the Denominator. The Denominator represents the total amount}[/tex]
[tex]\textsf{of parts that make a fraction equal to 1. If the Numerator is the same as the}[/tex]
[tex]\textsf{Denominator, then the fraction is just 1. If the Numerator is greater than 1, then}[/tex]
[tex]\textsf{this kind of fraction is considered an Improper Fraction, and improper fractions}[/tex]
[tex]\textsf{are fractions that are improper due to the Numerator being greater than the}[/tex]
[tex]\textsf{Denominator, which means these fractions shouldn't be represented as fractions,}[/tex]
[tex]\textsf{but there's nothing wrong with representing it as a fraction.}[/tex]
[tex]\textsf{Since we know what majority of fractions are, we may begin adding these fractions}[/tex]
[tex]\textsf{which are improper.}[/tex]
[tex]\large\underline{\textsf{How are we able to Add Fractions?}}[/tex]
[tex]\textsf{Adding Fractions is simply adding the Numerators together since the Denominator}[/tex]
[tex]\textsf{can't be changed, if so then the equation won't be equal.}[/tex]
[tex]\textsf{*Remember that when adding fractions we must have common denominators.}[/tex]
[tex]\textsf{This means that we should find the LCM (Least Common Multiple) of the}[/tex]
[tex]\textsf{Denominators.}[/tex]
[tex]\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{Since we already have Common Denominators, we are able to simply add the}[/tex]
[tex]\textsf{Numerators.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Add the Numerators together.}[/tex]
[tex]\tt \frac{\boxed{\tt 23}}{9} + \frac{\boxed{\tt 17}}{9} =\boxed{\tt \frac{40}9}[/tex]
[tex]\tt \frac{40}{9} \ \textsf{can be our final answer. However, since our sum is an Improper Fraction, it's}[/tex]
[tex]\textsf{greater than 1. Since 40 can divide into 9 about 4 times, our whole number will}[/tex]
[tex]\textsf{be 4, and the remainder will be our fraction.}[/tex]
[tex]\underline{\textsf{Explained in numerical;}}[/tex]
[tex]\tt \frac{40}{9} = \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{4}{9} = \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]*\tt \frac{36}{9} = \frac{4}{1}[/tex]
[tex]\textsf{These are called Whole Number Fractions.}[/tex]
[tex]\large\underline{\textsf{Hence;}}[/tex]
[tex]\tt \frac{23}{9} + \frac{17}{9} = \boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]\large\underline{\textsf{Learn more about Fractions;}}[/tex]
https://brainly.com/question/26180542
[tex]\textsf{This answer will give you a great review of how to turn word-form problems into}[/tex]
[tex]\textsf{fractions, and how to simpify those fractions.}[/tex]
There are nine marbles in a group, and four of those marbles are red. What
fraction of the marbles are red?
18/5=t/4 what does t=
Answer:
72/5
Step-by-step explanation:
18/5 x4 = t/4 x4
(18x4)/5 = t
t = 72/5
Which theorem explains why the circumcenter is equidistance
Fill in the missing values.
151.5 cm =? m
151.5 cm = ? m
(Type an integer or a decimal.)
Answer:
151.5 cm = 1.515 m
151.5 cm = 1515/1000 m
What is m∠JNK? Enter your answer in the box.
*NOT a question, I had trouble with this on my test and couldn't find anyone that had asked, so here is the correct answer. Merry Christmas everyone! :-)
Answer:
Merry Christmas too!!
Step-by-step explanation:
Stay safe lovelots
#LEARN WITH BRAINLY
if 3t+p = k then t is equal to what?
Answer:
Here is your answer hope I helped! <3
Step-by-step explanation:
t=k/3-p/3
Help help help math math ASAP
Answer:
4
Step-by-step explanation:
f(-3) = 2 * (-3) + 10
What is the product of using scientific notation to solve the problem of 20.5 * 10 to the 7th power and 0.000036
Answer:
7.38×10^3
Step-by-step explanation:
The usual rules of exponents apply.
(20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3
_____
Additional comment
You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.
What I 0.00005164 written as a single digit times a power of ten
Answer:
5.164×10^-5
Step-by-step explanation:
[tex]5.164 \times {10}^{ - 5} [/tex]
jesse walks 3 miles per hour to school.the school is 1.5 miles away.How long would it take jesse to walk to school
Which of the following is a correct interpretation of the expression 5−8
Answer:
start at 5 on the number line and move 8 to the left.
Step-by-step explanation:
how many
edges does a polyhedron with 8
faces and 12 vertices have?
Answer:
Edges = 18
Step-by-step explanation:
We know that
v - e + f = 2
Where,
v = vertices
e = edge
f = faces
So,
12 - e + 8 = 2
20 - e = 2
20 - 2 = e
18 = e
Answer:
18 edges
Step-by-step explanation:
As said in the answer before it is 18. The equation used to find the answer is the Euler's Formula : F+V=E+2. Where F is faces, V is vertices, and E is edges. If given the F and V then all you have to do is add them together and subtract 2. Toodles ;)
PS: ACELLUS SUCKS