What is 5/15 written as a decimal???
What is 4/15 written as a decimal???
What is 3/15 written as a decimal???
Answers
There are a couple ways we can use to convert a fraction to a decimal, but let's stick with the easiest one.
To convert a fraction to a decimal, simply divide the numerator (top part of the fraction) by the denominator (bottom part).
The first fraction is 5/15. Its numerator is 5, and its denominator is 15. Divide the top by the bottom.
5 ÷ 15 = 0.3333333333
Because this decimal keeps repeating, it is called a "repeating fraction."
We don't want to write all those 3's over and over again, so to indicate that it is a repeating decimal, simply put a bar above the 3.
Convert the other two fractions using the same method:
4 ÷ 15 = 0.266666667
Remember to put a bar above the repeating number.
3 ÷ 15 = 0.2
Since this decimal does not repeat, it is called a "terminating decimal". You do not have to put a bar above the 2.
Don't forget this method!
Related Questions
Allan purchased a zero coupon bond four years ago. He paid $3,000 and it has a face value of $3,500. How much money did he earn for holding the bond until maturity
Answers
Explanation: The face value of any types of bond is the value of the bond at the time of maturity. So, the value of Allan's zero coupon bond is $3,500 because $3,500 is the face value of the bond he bought.
So the money he earns for holding the bond until maturity is the difference when the face value is subtracted to the cost he paid for the bond. Since
$3,500 - $3,000 = $500
Therefore, Allan earned $500 for holding the bond until maturity.
Which of the following shows the graph of a line with a slope of 6/5 and a y intercept of -3?
Answers
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=6/5 and b=-3 in the above equation to find the equation of line.
[tex]y=\frac{6}{5}x+(-3)[/tex]
So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].
Substitute y=0 in the above equation to find the x-intercept of the line.
[tex]0=\frac{6}{5}x-3[/tex]
Add 3 on both the sides.
[tex]0+3=\frac{6}{5}x-3+3[/tex]
[tex]3=\frac{6}{5}x[/tex]
Multiply both sides by 5.
[tex]15=6x[/tex]
Divide both sides by 6.
[tex]\frac{15}{6}=x[/tex]
[tex]2.5=x[/tex]
The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).
Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.
A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame
Answers
(h + 5)(2h + 3 + 5) = (h + 5)(2h + 8)
Multiplying this, we have:
h*2h + h*8 + 5*2h + 5*8 = 2h² + 8h + 10h + 40 = 2h² + 18h² + 40
The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.
Answers
__________________________________________________________
Note: The formula for the area, "A" of a rectangle:
→ A = L * w ;
in which:
A = "area (of rectangle)" ; [in units of "m² " ; that is: "square meters" ] ;
L = length = "(4 + w)" {in units of "meters (m)" } ;
w = width {in units of "meters (m)" } ;
_______________________________________________________
So; " A = L * w " ;
Substitute the known expression for the "length, L" ; & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:
→ A = (4 + w) * w '' ;
______________________________________________________
Note the formula for the perimeter, "P" ;
→ P = 2L + 2w ;
↔ 2L + 2w = P
→ 2L + 2w = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is: "36" (meters) ;
→ 2L + 2w = 36 ;
→ Let us plug in the values for "Length (L)" & "width (w)" ;
→ 2(w + 4) + 2w = 36 ;
So; (2*w) + (2*4) + 2w = 36 ; Solve for "w" ;
→ 2w + 8 + 2w = 36 ;
→ Combine the "like terms" :
+ 2w + 2w = 4w ;
→ And rewrite:
4w + 8 = 36 ;
Now, subtract "8" from EACH SIDE of the equation:
4w + 8 − 8 = 36 − 8 ;
to get:
4w = 28 ;
Now, divide EACH SIDE of the equation by "4" ;
to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ;
4w / 4 = 28 / 4 ;
→ w = 7 ; → The "width" of the rectangle is: " 7 m " .
Now, we can find the "length" of the rectangle:
The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
→ L = 11 . → The "length" of the rectangle is: " 11 m " .
___________________________________________________
Now, we can find the area, "A", of the rectangle.
A = L * w = 11 m * 7 m = " 77 m² " .
→ The area of the rectangle is: " 77 m² " .
__________________________________________________
To check our answer:
__________________________________________________
→ " P = 2L + 2w " ;
Given that "P = 36 m" ;
Plug in "36 m" (for "P") ; into the equation ;
and plug in our calculated values for
"length, L" (which is "11 m") ; & "width, w" (which is "7 m") ;
to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________
→ 36 m = ? 2L + 2w ?? ;
→ 36 m = ? 2(11 m) + 2(7 m) ?? ;
→ 36 m = ? 22 m + 14 m ?? ;
→ 36 m = ? 36 m ? Yes!
__________________________________________________
The process involves setting up an equation using the given perimeter and the relation between length and width, solving for width, then calculating length and subsequently the rectangle's area, resulting in 77 square meters.
The question involves finding the area of a rectangle given the relationship between its length and width, and its perimeter. First, let's represent the width as w meters. Therefore, the length will be w + 4 meters, since the length is 4 meters longer than the width. The perimeter of a rectangle is calculated as 2(length + width). Given the perimeter is 36 meters, we can set up the equation: 2(w + w + 4) = 36.
Simplifying this equation gives 2(2w + 4) = 36, and further simplification results in 4w + 8 = 36. Solving for w, we subtract 8 from both sides getting 4w = 28, and divide by 4 to find w = 7 meters. The length, being 4 meters longer, is 11 meters.
Finally, to find the area of the rectangle, we multiply the length by the width: Area = length × width = 11m × 7m = 77 square meters. Therefore, the area of the rectangle is 77 square meters.
Choose the best decimal to represent 3 5/9
Answers
If the question asks for you to round to the nearest 10th it would be 3.6 and nearest hundredth would be 3.56 and so on.
Conversion of the fraction to decimal gives us; 3.55.....
How to get decimal from fraction?There are different types of fractions such as;
Mixed Fractions
Improper Fractions
Proper Fractions
We are given the fraction as; 3 5/9
Now, this can also be expressed as:
3 + 5/9
We know that 5/9 when converted to decimal gives:
5/9 = 0.55555....
Approximating gives 0.55....
Thus;
3 + 5/9 = 3 + 0.55....
= 3.55.....
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Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft.
What is the height of the larger cylinder?
Please show the work
Answers
The ratio of the heights can be cubed to get the ratio of the volumes
(x/5)^3 = 343/125
(x^3)/(5^3) = 343/125
(x^3)/125 = 343/125
x^3 = 343
x = (343)^(1/3)
x = 7
The height of the larger cylinder is 7 feet
What is the classification for this polynomial?
gh^5+2g^3
Choices:
A. Monomial
B. Binomial
C. Trinomial
Answers
gh⁵ + 2g³
first term second term
BI = two.
I need help with #13 please
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Here's your answer to your question, t⁴⁷.
math help again please
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Here A and B contains two terms.
C and D polynomials.
Now, In A. 7x^3y-13x^4 Here the highest degree is 4, So exclude option A because it is given that the binomial degree is 3.
We have now option B -2xy^2 - 19. Here degree of binomial is 3.
Answer: Option B
(6) Check my answer?
Im putting never because a pentagon has 5 sides, 2 of which are not parallel, while a parallelogram is a 4 sided figure with 2 sets of parallel sides
Are a parallelogram and a pentagon always, sometimes, or never similar?
A) always
B) sometimes
C) never****
Answers
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form
Answers
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)
then
-2x4-16x3+14x2+14=0--------------> this is the standard form
simplify dividing the entire expression by two
-x4-8x3+7x2+7=0
the answer is
-x4-8x3+7x2+7=0
Multiply (7x – 6)(8x +3). A. 56x2 – 27x – 18 B. 12x2 – 50x + 8 C. 56x2 – 18 D. 56x2 – 69x + 18
Answers
=(7x – 6)(8x + 3)
multiply first term by first term, multiply outside by outside, inside by inside, last by last
=(7x*8x) + (7x*3) + (-6*8x) + (-6*3)
multiply terms
=56x^2 + 21x - 48x - 18
combine like terms
=56x^2 - 27x - 18
ANSWER: A) 56x^2 - 27x - 18
Hope this helps! :)
about how much air would fill a ball with a radius of 16cm
Answers
That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)
A rectangular park is 56 miles wide and 157 miles long. What is the area of the park? Enter your answer in the box as a mixed number in simplest form. plz answer nowPLz!!!
Answers
Answer:
1 3/7
Step-by-step explanation:
just finished the k12 test
Can someone help and explain this to me please...?
Answers
Answer:
[j, k] →[9, 5]
[g, h] → [4, 2]
[x, y] → [−4, −4]
Step-by-step explanation:
{4j - 2k = 26
{5j - 2k = 35
−⅘[5j - 2k = 35]
{4j - 2k = 26
{−4j + 1⅗k = −28 >> NEW EQUATION
________________
−⅖k = −2
_____ ___
−⅖ −⅖
k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j
__________________________________________________________
{6g + 8h = 40
{−6g + 2h = −20
________________
10h = 20
h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g
__________________________________________________________
{4x - 9y = 20
{2x - 6y = 16
−½[4x - 9y = 20]
{−2x + 4½y = −10 >> NEW EQUATION
{2x - 6y = 16
_________________
−1½y = 6
______ __
−1½ −1½
y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x
** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [y = mx + b].
I am joyous to assist you anytime.
The maximum weight for an elevator is 1600 pounds. You need to move boxes each weighing 40 pounds, and you weigh 145 pounds. Write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time. Assume only you and the boxes are in the elevator.
Answers
Then we find the following:
145 + 40X = 1600
(your weight + the weight of the boxes = maximum weight)
What are the roots of x2 + 8x – 48 = 0?
show me the work
Answers
That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12
Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table What is the lower quartile of the daily high temperatures? a. 26 c. 20 b. 25 d. 28
Answers
To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.
The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.
Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?
Answers
Work:
4,439 - 1,049 = 3,390
3,390 + 1,110 = 4,500
The number of students that are enrolled at Riverside College this year is 4500.
What are the number of students enrolled?Using this formula
Number of student=(Riverside college students-Number of student left)+Number of new students
Let plug in the formula
Number of student=(4,439 - 1,049)+ 1,110
Number of student = 3,390+ 1,110
Number of student= 4,500
Therefore the number of students that are enrolled at Riverside College this year is 4500.
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The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft
Answers
The cost of a bagel increases from $0.80 to $1.25. What is the percent of increase?
Answers
0.45/0.8=0.5625
0.5625*100=56.25 percent increase
The percent increase is 56.25%
Work is provided in the image attached.
A country's people consume 6.36.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.
Answers
A country's people consume 6.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301 million.
we know that
1 billion------------------> 1000000000 (Thousand Million)=1 x 10^9
then
6.3 billion pounds--------------> 6.3 x 10^9 pounds
[pounds of candy per person per year]=[6.3 x 10^9 pounds]/[301 x 10^6]
[pounds of candy per person per year]=20.93 pounds per person per year
[pounds of candy per person per month]=20.93/12=1.74 pounds per person per month
the answer is 1.74 pounds per person per month
Write the equation of a line that is perpendicular to y=0.25x-7 and passes through the point (-6,8)
Answers
y=1/4x-7
Slope of this line has a value of 1/4.
We know that k1*k2=-1 (if lines are perpendicular)
Then k2=-4
The equation of the second line is
y=-4x+b
If this line passes through the poin (-6;8), then 8=-4*(-6)+b
8=24+b
b=8-24
b=-16
The equation is y=-4x-16
The equation of a line that is perpendicular to y = 0.25x -7 and passing through the point (-6,8) is y = -4x -16.
Explanation:In the mathematical realm, a line that is perpendicular to another has a slope which is the negative reciprocal of the original line's slope. The given equation, y = 0.25x - 7, has a slope of 0.25. Thus, the slope of the perpendicular line would be the negative reciprocal, which is -1/0.25 = -4. Now, a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Although we now know our perpendicular line's slope, we still need the y-intercept. To find it, we use the formula b = y - mx, substituting in our known slope (-4) and given point (-6,8). After calculation, b = 8 - (-4*-6) = -16. Therefore, the equation of a line that is perpendicular to y = 0.25x - 7 and passes through the point (-6,8) is y = -4x -16.
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Avogadro's number is equal to _____. 6.02 x 1025 6.02 x 1023 6.02 x 1010 6.02 x 1022
Answers
Actually, the more correct answer is its longer version: 6.022140857 × 10²³. Therefore, the correct Avogrado's number is equal to: 6.022x10²³. We use this to relate the molar mass of one substance to the mass of its sample.
Use >, <, or = to compare these numbers.
3.08 m ____ 3.8 m
Answers
~Deceptiøn
This is because 3.08 is smaller than 3.8.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Enter your answer in the box.
°
Answers
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that [tex]m \angle D=3(35)+9=114 \\m \angle B=2(35)-4 = 66 \\m \angle A=2(35) + 3=73[/tex]
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°
BRAINLIESTTT ASAP!
The function f(x) = –x^2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)
Answers
y+116=-x^2+60x
y+116=-1(x^2-60x)
y+116-900=-1(x^2-60x+900)
y-784=-1(x-30)^2
y=-1(x-30)^2+784
we know that
h=-b/2a
h=-60/(-2*1)
h=30
k=-30^2+60(30)-116
k=784
the vertex is at (30,784) this means that the point of symmetry of the parabola is at (30,784), in our context it means that the maximum number of windshields repaired is 30 and the minimum profit will be $784
Part B
x-intercept
to determine the x-intercept we let f(x)=0
thus
0=-2x^2+60x-116
solving for x we get:
x=2 and x=58
this means that when the shop repairs 2 windshields or 58 windshields, they will not make any profits
Find two consecutive odd intefers whose product is 63
Answers
For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes
From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.
I hope this helps!
Let's assume 2n-1 the first integer
and 2n+1 the second.
(2n-1)*(2n+1)=64
(2n)²-1=64
4n²=64
n²=16
==>n=4 or n=-4
If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7
If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9
(-9,-7) and (7,9) are the 2 solutions.
A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75
Answers
You drive 70 miles per hour but then slow your speed by 15 miles per hour. You then return to your speed of 70 miles per hour. Which expression shows how your speed changed?
A. -70 + 15 + (-15) C. 70 + (-15) + (-15)
B. 70 + 15 + 15 D.70 + (-15) + 15
Answers
Slow your speed means decrease in speed= 70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr
Option D is correct.
Answer:Option D is correct
Step-by-step explanation:
I had the same problem and I clicked option D and it was correct