Answer:
[tex]\frac{1}{15} = 0.\overline{66}[/tex]
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:
[tex]\frac{1}{15} = 0.xx[/tex]
2) We multiply the numerator by 10 and find the tenth digit:
[tex]\frac{10}{15} = 0[/tex]
Then,
[tex]\frac{1}{15} = 0.0xx[/tex]
3) We multiply the fraction in 2) by 10 and find the hundredth digit:
[tex]\frac{100}{15} = 6[/tex]
Then,
[tex]\frac{1}{15} = 0.66x[/tex]
And the remainder is:
[tex]r = 100-15\times 6[/tex]
[tex]r = 10[/tex]
4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:
[tex]\frac{100}{15} = 6[/tex]
Then,
[tex]\frac{1}{15} = 0.666[/tex]
This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:
[tex]\frac{1}{15} = 0.\overline{66}[/tex]
PLEASE ANSWER THIS ASAP !!!!!!
Answer:
y = - x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line
m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus
y = - x ← equation of line
Determine which situation could be represented by the system of linear equations given below
-6m - 1 = -31
m = ___
please show work
ANSWER:
M = 5
Step 1: Add 1 to both sides of the equal sign
-6m-1+1=31+1
-6m=-30
Step 2: Divide both sides by -6
-6m/6 = -30/-6
(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)
4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%
Answer:
what are you asking though
pls :,) i suck at math
Answer:
60%
Step-by-step explanation:
The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:
10 to 6.
Percentages are typically x% out of 100, so if you multiply both by 10 you get:
100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Answer:
a i think
Step-by-step explanation:
Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)
Answer:
Option A "4(-7k+16k+3)" would be the appropriate choice.
Step-by-step explanation:
On solving the equation, we get
⇒ [tex]4(-7k+16k+3)[/tex]
On applying BODMAS rule, we get
⇒ [tex]4(9k+3)[/tex]
Therefore,
⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]
All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.
Dawn made a $10,000 down payment on a home financed at 8%. What is the cost of the home?
A. $85,000
B. $125,000
C. $80,000
D. 8,000
I don't understand how you would be able to determine the cost of the house with a down payment and finance rate.
Answer:
$125,000
Step-by-step explanation:
the cost of the home = (10,000/8)*100 = $125,000
Answer:
125,000
Step-by-step explanation:
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Answer:
45 mph
Step-by-step explanation:
3/4x60=45
Mr Mason asks 240 year 11 students what they want to do next year. 15% of the students want to go to college. ¾ of the students want to stay at school. The rest of the students do not know. Work out the number of students who do not know.
Answer:
Number of students who do not know = 24
Step-by-step explanation:
Year II students = 240
15% of the students want to go to college.
Number of year II students who wants to go to college = 15% of 240
= 15/100 × 240
= 0.15 × 240
= 36
¾ of the students want to stay at school.
Number of students who wants to stay at the school = 3/4 × 240
= (3 × 240) / 4
= 720 / 4
= 180
Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school
= 240 - 36 - 180
= 24
Number of students who do not know = 24
Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63
Answer:
b
Step-by-step explanation:
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
Peter bought 12 collectable coins for $8.00. What was the price per coin? How did you get that answer?
Answer:
Step-by-step explanation:
8.00/12= $0.60 a piece
Can someone help me with this please
Answer:
The 3rd one
Step-by-step explanation:
The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.
what is 1+1, please answer
Answer:
Your answer is 2.
Step-by-step explanation:
You use the normal way of adition.
1
+1
___
2.
Hope this helps!
1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Using formula:
[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]
In question (1):
[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 600 + 240 \\\\= 840[/tex]
In question (2):
[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]
In point a:
[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]
In point b:
[tex]\to amount = principle \ +\ simple \ interest[/tex]
[tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]
The 3 question is incomplete, that's why it can't be solved.
It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
plz mark as brainliest
how to find the value of a+b+c given that a=4,b=3 and c= -2
Answer: 5
Step-by-step explanation: 4 + 3 + -2 = 5
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Step-by-step explanation:
1st digit : 1 / 2 / 4 / 5
4th digit : 0 / 2 / 4 / 6 / 8
Total number of sets = 4 * 10 * 10 * 5 = 2000.
what is the equation of a line parallel to y=4/5x+2 that passes through 1,2
Answer:
4/5x+6/5
Step-by-step explanation:
not sure but i have my ways with equations lol
The volume of an Amazon package is given by the function below.
8x^3+30x^2+13x−15
A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?
B. Using the volume formula, find the height of the package. (V=lwh)
Please show work
Answer:
Step-by-Step Explanation:
Area of the base = length × breadth
= (4x + 5) (x + 3)
= 4x(x + 3) + 5(x + 3)
= 4x² + 12x + 5x + 15
= 4x² + 17x + 15
_____________________________________
Volume = length × breadth × height
8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h
[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]
Construct a difference table to predict the next term of the sequence.
1, 8, 18, 31, 47, 66, . . .
Answer:
88
Step-by-step explanation:
8-1=7
+3
18-8=10
+3
31-18=13
+3
47-31=16
+3
66-47 = 19
+3
x - 66 = 22
+66 +66
x= 88
pls pls someone answer thissss asap...also I’d like the steps on how to do it as well pls and ty!!!
Answer:
v>19/6
Step-by-step explanation:
The slope of a vertical line is:
Answer:
The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
the slope of a virtual lin.e is change in Y / change in X
Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
Answer:
Yes it is.
Step-by-step explanation:
Best way is to use percentages you know when estimating.
We know 50% is half.
50% of 242 is 121.
So it has to be more than 121.
10% of 242 is 24.2 so add that to 121 and you get 145.2
You are 60% so far. You just need 9% more.
Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.
A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair
Answer: The price of desk is 15 and the price of the chairs 5
Step-by-step explanation:
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?
F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x
The solution is : she needs at least 16 points.
x + 64 ≥ 80
x ≥ 16
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Given
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.
so,
Total = 80 (at least)
accumulated = 64
Required
Express as an inequality
In inequalities, at least means ≥
So, the expression is:
Where x represents the additional points
x + 64 ≥ 80
Solve for x
x ≥ 16
Hence, she needs at least 16 points.
To learn more on inequality click:
brainly.com/question/24853349
#SPJ3
According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answer:
i need more info
Step-by-step explanation:
Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?
Answer:
$0.32, so a quarter a nickel and 2 pennies
Step-by-step explanation:
Answer:
$0.32
Step-by-step explanation:
First, add $1.29+$0.39 to get the total amount of the transaction.
$1.29+$0.39 = 1.68
Then, subtract that from the amount paid.
$2.00-$1.68
= $0.32
URGENT PLEASE!! I’ll give you brainliest! You just have to find x
Step-by-step explanation:
3(x+2)-(2x-1)=4(3-x)
3x+6-2x+1=12-4x
3x-2x+4x=12-6-1
5x=5
x=1
Answer:
x=1 2/5
Step-by-step explanation:
3x+6-2x-1=12-4x
x+5=12-4x
-5 -5
x=7-4x
+4x +4x
5x=7
/5 /5
x=7/5
x=1 2/5