we'll start off by making the recurring decimal value to a variable, hmmm say "x", thus x = 9.268686868......
we'll next multiply that value by a power of 10 so that the recurring decimal part moves over to the left of the decimal point, the recurring decimals in this case are "68", but we need to bring the 2 in front along as well, so to move all those three fellows, we'll need 1000.
we'll next multiply the same value by a power of 10 that brings two of the recurring decimals over, so 1000 gives us one "68" over, we'll need "6868" over to the left, so we'll use 100000, let's proceed.
[tex]\bf x = 9.2\overline{68}\qquad \qquad \begin{array}{llll} 1000\cdot x&=&9268.\overline{68}\\\\ 100000\cdot x&=&926868.\overline{68} \end{array}~\hfill \begin{array}{rllll} \stackrel{100000x}{926868.\overline{68}}\\\\ -\stackrel{1000x}{9268.\overline{68}}\\ \cline{1-1}\\ 917600.00 \end{array} \\\\\\ 100000x-1000x = 917600\implies 99000x=917600 \\\\\\ x = \cfrac{917600}{99000}\implies x = \cfrac{4588}{495}[/tex]
Mr zuro finds the mean height of all 14 students in his class to be 69.0 inches. Just as Mr Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 70.5 inches tall. What is the mean height of the 15 students in the class?
Answer:
69.1
Step-by-step explanation:
Mean height of 14 students = 69.0 inches
Mean = sum of data/number of data
69 = sum of data/14
sum of data = 966
FOR NEW MEAN:
Height of additional student = 70.5
Mean = sum of data/ number of data
Mean = 966+70.5/14+1
Mean = 1036.5/15
Mean = 69.1
Therefore, the mean height of the 15 students in the class is 69.1
Final answer:
To find the new mean height after Danielle joins the class, calculate the total height of all students, add Danielle's height, and divide by the new number of students. The mean height increases to 69.1 inches.
Explanation:
Mr. Zuro finds the mean height of all 14 students in his class to be 69.0 inches. When Danielle, who is 70.5 inches tall, walks in late, we need to calculate the new mean height of all 15 students.
First, we find the total height of the initial 14 students by multiplying the mean height by the number of students: 69.0 inches × 14 = 966 inches. Next, we add Danielle's height to this total: 966 inches + 70.5 inches = 1036.5 inches. Finally, to find the new mean height, we divide this total by the number of students, now 15: 1036.5 inches ÷ 15 = 69.1 inches.
Therefore, the mean height of the 15 students in the class, including Danielle, is now 69.1 inches.
If n stands for the unknown number, which expression represents the phrase below? the sum of a number and three, divided by seven Group of answer choices (n + 3) / 7 n + 7/3 7/n + 3 7 / (n + 3)
Answer:
(n+3)/7
Step-by-step explanation:
Let
n -----> the unknown number
we know that
The algebraic expression of the phrase " the sum of a number and three" is equal to
(n+3) -----> number n plus number 3
so
The algebraic expression of the phrase " the sum of a number and three divided by seven" is equal to
(n+3)/7 ----> divide (n+3) by the number 7
therefore
The expression is
(n+3)/7
Angelina spend $50 on 16 packages of cookies for her club members. sugar cookies cost $2.50 per package and chocolate chip cookies cost $3.50 per package. how many packages of each cookie does Angelina buy?
Answer:
6 packs of sugar cookies and 10 packs of chocolate chip cookies.
Step-by-step explanation:
Let the quantity of sugar cookies be x packs and the quantity of chocolate chip cookies be y packs. Total packs are 16. Therefore: x + y = 16. This implies y = 16 - x (Equation 1).
It is given that a pack of sugar cookies is priced at $2.5 and a pack of chocolate chip cookies is priced at $3.5. It is also given that the student spends a total of $50 on the cookies. Since x packs of sugar cookies and y packs of chocolate chip cookies are to be bought, therefore:
2.5x + 3.5y = 50 (Equation 2).
Put equation 1 in equation 2.
2.5x + 3.5(16 - x) = 50.
2.5x + 56- 3.5x = 50.
-x = -6.
x = 6.
Put x = 6 in equation 1.
y = 16 - 6.
y = 10.
Therefore, Angelina will buy 6 packs of sugar cookies and 10 packs of chocolate chip cookies!!!
There are 302 languages spoken in China. Of those, 276 are indigenous. What percent of the languages spoken in China are indigenous?
Answer:
91.39%.
Step-by-step explanation:
That is 276 * 100 / 302
= 91.39%.
What is the answer to 6(-3-4y) simplifying algebriac expressions
Answer:
-18 - 24y.
Step-by-step explanation:
6(-3-4y)
We use the distributive law to give:
6 * -3 + 6* -4y
= -18 - 24y.
Sandra plays a matching game. In order to advance to the next level, she must score at least 10 points.she scores 18 points for correct matches and -6 points for incorrect matches. Did Sandra make it to the next level
Sandra made it to the next level in the matching game.
Explanation:Sandra's Matching GameSandra needs to score at least 10 points to advance to the next level. She scores 18 points for correct matches and -6 points for incorrect matches. To determine if Sandra made it to the next level, we can add up her scores.
18 - 6 = 12 points
Sandra scored 12 points, which is greater than the required 10 points, so she made it to the next level.
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2. Three times a number, increased by seventeen
A. 3(a + 17)
B 3a + 17
3xN
C. (17 +3)a
D. None of the above
3ya
The correct expression is 3a + 17.
Explanation:The correct expression that represents 'Three times a number, increased by seventeen' is 3a + 17. Option B is the correct answer.
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What are the solutions to the equation (x – 6)(X + 8) = 0?
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given
(x - 6)(x + 8) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 8 = 0 ⇒ x = - 8
Answer:
x = -8, 6.
Step-by-step explanation:
(x– 6)(x + 8) = 0
Either factor can be zero:
x - 6 = 0 gives x = 6 and
x + 8 = 0 gives x = -8.
Factor completely: 9x3 - 9x2y + 4x - 4y A) (x + y)(9x2 - 4) B) (x - y)(9x2 + 4) C) (9x + y)(x - 2)(x + 2) D) (x + y)(3x - 2)(3x + 2)
9x3 - 9x2y + 4x - 4y A) (x + y)(9x2 - 4) B) (x - y)(9x2 + 4) C) (9x + y)(x - 2)(x + 2) D) (x + y)(3x - 2)(3x + 2)
a circuit is supplied with 30 volts and the total circuit resistance is 3 ohms what the current through the circuit flowing
Answer:
10 amps
Step-by-step explanation:
Ohm's law states
I = [tex]\frac{V}{R}[/tex]
I is the current, V the voltage and R the resistance, thus
I = [tex]\frac{30}{3}[/tex] = 10
X is greater than or equal to -2
[tex]X \geq -2[/tex]
happy paws charges $19.00 plus $1.50 per hour to keep
What is 79/100 as a decimal
Hey!
-------------------------------------
Solution:
Divide to get the decimal.
79 / 100 = 0.79
-------------------------------------
Answer:
0.79
-------------------------------------
Hope This Helped! Good Luck!
Answer: 0.79
Step-by-step explanation:
divide to get the decimal.
remeber, if n is two digits, n/100 = 0.n
José sets up computers. He has been working
on a job today for about six hours. He told his
boss the job was about 75% complete.
José needs approximately 2 more hours to complete his job.
We should calculate the total time required for 100% completion and then subtract the time he has already worked.
José has completed 75% of the job in 6 hours.To find the total time for 100%, we use the proportion: 6 hours / 0.75 = 8 hours.Therefore, the total time required to complete the job is 8 hours.José needs 8 hours - 6 hours = 2 more hours to finish the job.He needs approximately 2 more hours to complete the job.
Complete Question:
Jose sets up computers. He has been working on the job today for 6 hours. He told his boss the job was about 75% complete. Approximately how many more hours does he need to complete the job.
The fastest male marathon running time is 2 hours 2 minutes 57 seconds of a marathon is 26.2 miles how long in minutes and seconds would it take the same man to run 1 mile??
Answer:
B
Step-by-step explanation:
simply by dividing time and miles by number 2 until 6 miles comes to 1 mile
For what values of x is x2-36=5x true?
-9 and -4
-4 and 9
4 and -9
9 and 4
Answer: SECOND OPTION
Step-by-step explanation:
Given the following equation:
[tex]x^2-36=5x[/tex]
You can follow these steps in order to find the values of "x" that makes the equation true:
1. Subtract [tex]5x[/tex] from both sides of the equation:
[tex]x^2-36-5x=5x-5x\\\\x^2-5x-36=0[/tex]
2. Factor the equation. Find two numbers whose sum be -5 and whose product be -36. These are 4 and -9:
[tex](x+4)(x-9)=0[/tex]
Then you get:
[tex]x_1=-4\\\\x_2=9[/tex]
Checking:
[tex](-4)^2-36=5(-4)\\\\-20=-20[/tex]
TRUE
[tex](9)^2-36=5(9)\\\\45=45[/tex]
TRUE
Answer:
Its B. -4 and 9
Step-by-step explanation:
Just took it and got 100%
4abc + (-9abc) + 10d?
Answer:5
Step-by-step explanation:
The sum of two consecutive natural numbers is 475 find the numbers. Find the numbers
Step-by-step explanation:
Need to FinD :We have to find the numbers.[tex] \red {\frak{Given}} \begin{cases} & \sf{Two\ consecutive\ natural\ numbers.} \\ & \sf{The\ sum\ of\ the\ numbers\ is\ {\pmb{\sf{475}}}.} \end{cases}[/tex]
We know that,
The sum of the two consecutive natural numbers is 475 and we're asked to find out the numbers. So, let the two consecutive natural numbers be x and x + 1.Therefore,
[tex] \sf \dashrightarrow {x\ +\ x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ +\ 1\ =\ 475} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 475\ -\ 1} \\ \\ \\ \sf \dashrightarrow {2x\ =\ 474} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{474}}{\cancel{2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 237.}}}}_{\sf \blue {\tiny{First\ number}}}} [/tex]
∴ Hence, the first number is 237. Now, let us find out the second number.
[tex]\rule{200}{3}[/tex]
Second NumbeR :
x + 1237 + 1238∴ Hence, the second number is 238.
The two consecutive numbers whose sum is 475 are 237 and 238.
Let assume the two consecutive natural numbers as x and x+1.
According to the given information,
the sum of the two consecutive numbers is 475.
So, the equation can be set up as:
x + (x+1) = 475
Combining like terms, we get:
2x + 1 = 475
Subtracting 1 from both sides, we have:
2x + 1 - 1 = 475 - 1
2x = 474
Dividing both sides by 2, we find:
x = 237
Thus, the two consecutive numbers are 237 and 238.
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Write the equation of the line in slope intercept from that is parallel given the equation and point.
Answer:
y = - 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 6x - 4 ← is in slope- intercept form
with slope m = - 6
• Parallel lines have equal slopes, thus
y = - 6x + c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = - 6x - 19 ← in slope- intercept form
What is 15% of 75% of 80?
Final answer:
To find 15% of 75% of 80, calculate 75% of 80 first (0.75 imes 80 = 60), then find 15% of 60 (0.15 imes 60 = 9), resulting in an answer of 9.
Explanation:
The student has asked: What is 15% of 75% of 80?
To solve this problem, we'll need to follow these steps:
First, find 75% of 80.
Then, find 15% of the result from step 1.
Let's start with the first step:
75% of 80 is equivalent to 0.75 imes 80, which equals 60.
Now, for the second step:
15% of 60 is equivalent to 0.15 imes 60, which equals 9.
Therefore, 15% of 75% of 80 is 9.
Solve each inequality 3<-5n + 2n
Answer: -1>n
Step-by-step explanation:1) combine like terms (-5n+2n=-3n) so you have 3<-3n then you divide -3 on both sides and because it’s a negative you flip the sign so you end up with -1>n
Part 1: Assume that a bacteria population triples every hour. Which of the following three tables of data, with
x representing time in hours and y the count of bacteria, could represent the bacteria population? Circle the
letter of your choice.
Answer:
Table C
If the bacteria population triples every hour, it must multiply by three each time.
Table C fits this pattern
y | 1 | 3 | 9 | 27 | 81 | 243 | 729
1×3=3, 3×3=9, 9×3=27 etc.
Please help me..!!!:(
Answer:
NO Pick none :) Step-by-step explanation:
Please put these from greatest to least.
876.405, 887.053, 887.208
887.208
887.053
876.405
Hope this helps
Which two whole numbers lies between the square root of 10
3 > √10 > 4
the answer would be 3 & 4
Answer: 3 & 4
Step-by-step explanation:
To shift a graph vertically and/or horizontally is to _____ it.
Answer:
Translate
Step-by-step explanation:
To shift a graph vertically and/or horizontally is to Translate it.
Step-by-step explanation:Translation--
A translation is a rigid transformation in which the graph of the original function is shifted some units to the left or to the right( i.e. horizontal shift) or some units up or down ( i.e. vertical shift ).
The horizontal shift of the function f(x) by k units is given by:
f(x) → f(x+k)
and the vertical shift of the function f(x) by k units is given by:
f(x) → f(x)+k
6,840 customers in 45 days
-8(2r - 8)+ 6 = -3(r + 7)
Answer:
r = 7
Step-by-step explanation:
Use the distributive property by multipling the -8 to the 2r and the -8, do the same thing on the other side with the -3.
Afterwards, combine like terms by adding 64 and 6.
Next, add 3r to the left side, I usually choose the number with the variable (the letter) that looks like it will be easier to subtract. This leaves only 21 on the right side.
Next subtract 70 from both sides
Divide -13 by both sides
You should get the answer of r=7
What is7766 rounded to the nearest thousands
7766 rounded ot the nearest thousands would be 8000, since the hundreds place value, 7, is going to be rounded up to 8000.
Hope this helped!
Nate
Answer:
8000
Step-by-step explanation:
|Thousands||Hundreds||Tens||Ones|
| 7 || 7 || 6 || 6 |
5 or more, raise the score (turn the 7 into an 8 and make the three other numbers 0)
4 or less, let it rest (leave the 7 as a 7 and make the other 3 numbers 0).
The number that we are looking at changing will be bold. The number that determines if we change that number will be underlined.
7766
The 5 or more, raise the score rule applies to 7.
So, we will make the 7 thousand (7000) 8 thousand (8000)
We will make the seven hundred sixty six (766) zero (0).
Our final answer is 8000.
When deriving the quadratic formula by completing the square what expression can be added to both sides of the equation to create a perfect square trinomial x^+b/ax+_=-c/a+_
To convert the quadratic polynomial into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation. [tex]\dfrac{b^2}{4a^2}[/tex] can be added to both sides of the equation.
The given equation is [tex]x^2+\dfrac{b}{a}x+?=\dfrac{-c}{a}+?[/tex]
Now,
To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.
Therefore,
[tex]x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=\dfrac{-c}{a}+\dfrac{b^2}{4a^2}[/tex]
Thus, [tex]\dfrac{b^2}{4a^2}[/tex] should be added to both sides of the equation to convert the above equation into the quadratic polynomial.
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Answer:
d
Step-by-step explanation:
edge