what is the decimal form of 100/3 100/5 and 100/6? determine whether each repeats or terminates
to know the decimal form, just make the division
Step 1
[tex]\begin{gathered} \frac{100}{3} \\ \frac{100}{3}=100\text{ divide by 3} \\ \text{operate} \\ 100\text{ divide by 3 = 33 and 1 to left} \\ \end{gathered}[/tex]every time you divide you will have a residual number (1),
so
100=(33*3)+1
when you divide the 1 by 3, you will have
1=(3*0.3)+0.1
and
10=3*3 +1
,so the 3 will repeat forever
Step 2
[tex]\begin{gathered} \frac{100}{5}=20 \\ \end{gathered}[/tex]so the decimal form of 100/5 is 20
Step 3
[tex]\frac{100}{6}[/tex][tex]\frac{100}{6}=16.66[/tex]when you divide 100 by 6 you have
[tex]\begin{gathered} 100=(16\cdot6)+4 \\ 100=96+4 \\ 16\text{.} \\ \text{and} \\ \frac{4}{6}=0.666 \\ so\text{ , the answer is } \\ \frac{4}{6}+16=16.6666 \\ \end{gathered}[/tex]I hope it helps you.
The ratio of the heights of similar cones is 5:2. If the base area of the small cone is 64pi cm^2, find the base area of the large cone. Thanks!
Answer: 400π
Explanation:
From the information given, the ratio of the heights is 5:2. This means that the scale factor is 5:2. This means that the ratio of the areas is
(5/2)^2 = 25/4 = 25:4
Thus,
base area of large cone/base area of small cone = 25/4
Given that base area of small cone is 64π, it means that
base area of large cone/64π = 25/4
By cross multiplying,
base area of large cone = 25/4x 64π
base area of large cone = 400π
Erick sold 2 pounds of walnuts and 4 pounds of almonds for $28. The next day, he sold4 pounds of walnuts and 3 pounds of almonds for $31. Which system of equations canbe used to determine the cost per pound of walnuts x, and the cost per pound ofalmonds, y?F 2x - 4y = 284x + 3y = 31G 2x + 4y = 284x + 3y = 31H 2x + 4y = 314x + 3y = 28) 4x + 3y = 282x + 4y = 31
Let the selling price for walnuts be x and the selling price for the almonds be y.
On the first day, Erick sold 2 pounds of walnuts and 4 pounds of almonds for $28. This implies that
[tex]\begin{gathered} 2x\text{ + 4y =28 } \\ \text{equation 1} \\ \end{gathered}[/tex]On the second day, 4 pounds of walnuts and 3 pounds of almonds for $31.
[tex]undefined[/tex]what's the length and width of the actual flower bed.
Answer:
length: 16ft
breadth:- 12ft
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 2/3 in. and width 1/2. The actual tiles have length 1/2 ft and width 3/8 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio. The ratio of the length of a tile in the model to the length of an actual tile is?
Ratio of the length of a tile in model to length of actual tile is 1/9 and Ratio of Area of tile to area of actual tile is 1/ 81
Given,
Length of each tiles = 2/3 in
Width of each tiles = 1/2 in
The actual tiles have length = 1/2 ft = 6 in {1 foot = 12 inch }
Width of actual tiles = 3/8 ft = 4.5 in
Ratio of length of tile in the model to the length of an actual tile =
length of tile / length of an actual tile
= [tex]\frac{2/3}{6} = \frac{1}{9}[/tex]
Area of tiles = area of rectangle = length × width
= 2/3 × 1/2
= 1/3 in²
Area of actual tile = 6 × 4.5 = 27 in²
Ratio of the area of a tile in the model to the area of an actual tile =
Area of tile / area of actual tiles
= [tex]\frac{1/3}{27} = \frac{1}{81}[/tex]
Another way of finding ratio is by Dilation ,
Ratio of lengths = 1 / 9
according to the property of dilation,
Ratio of area of tiles to area of actual tiles = (1/9)² = 1/81
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If 6x=30, then x=5. If x=5, then 2x=10. Make a conclusion using the law of syllogism
Given:
[tex]\begin{gathered} \text{If 6x=30 then x=5} \\ \text{If x=5 then 2x=10} \end{gathered}[/tex]The law of syllogism states that,
[tex]\text{ If a=}b\text{ and b=c then a=c}[/tex]For the given data,
[tex]\begin{gathered} a\colon\text{ 6x=30} \\ b\colon x=5 \\ c\colon2x=10 \\ By\text{ the law of syllogism,} \\ 6x=30 \\ 3\cdot2x=3\cdot10 \\ \Rightarrow2x=10 \\ Therefore, \\ \text{If 6x=30 then 2x=10} \end{gathered}[/tex]Amber had of a book of postage stamps. She used of the book of postagestamps.Which fraction of the book of postage stamps does Amber have now?一01-161616
We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is
5/6 - 2/6
= 3/6
She has 3/6 now
Find the value of k so that the remainder is 3(x^2-x+k) divided by (x-1)
Okay, here we have this:
Considering the provided polynomials, we are going to calculate the requested value, so we obtain the following:
So first we will perform the division assuming that k=0 to see what is the remainder that is obtained:
[tex]\begin{gathered} \frac{x^2-x}{x-1} \\ =\frac{x(x-1)}{x-1} \\ =x \end{gathered}[/tex]We obtain that the remainder when taking k=0, is zero, then it will mean that the k must be equal to the residue that we want:
In other words, if we want the remainder to be 3, k must be equal to 3, replacing:
[tex]\begin{gathered} \frac{x^2-x+k}{x-1} \\ \frac{x^2-x+3}{x-1} \\ =x+\frac{3}{x-1} \end{gathered}[/tex]Finally we confirm that for the remainder to be 3, the value of k must be equal to 3.
pls help me out I really need to sleep
⇒ Note we can answer the question without having to calculate anything if we know what is meant by a y-intercept and x-intercept.
y-intercept is a point in the y-axis where the x coordinate is 0 given by (0,y)
x-intercept is a point is the x-axis where y is equal to 0.(x,0)
If we are to check in the diagram⇒ for y-intercept the point in the
(0,-6)
For x-intercept, the point on the x- axis where y is 0 is (-8,0)
A polynomial function has local maxima at (0, -1) and (3,-2). The complex number (1+2i) is a
zero of the function. What is the least possible degree of the function?
Answer:
6
Step-by-step explanation:
i once saw it on a function quiz and i believe that was correct
Question #6 Which scenario represents a unit rate of $2? A A 6-pack of hair bows costs $6. How much does 1 hair bow cost? B A 12-pound bag of cat food costs $24. How much does 1 pound of cat food cost? C A 24-pack of water bottles costs $12. How much does 1 water bottle cost? A 42-pound bag of fertilizer costs $21. How much does 1 pound of fertilizer cost ?
We will have that the $12 rate is given by:
B. A 12-pound bag of cat food cost $24, that is:
$24/12 = $2 per pound of food.
D what is the image pointof (3-4) after a translationleft 2 units and up 2 units?
Point = (3,-4)
After a translation left 2 units(-2) and 2 units up
(3-2,-4+2) = (1,-2)
If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
The correct options are f(-1) = -11, f(3) = -3 and f(0) = -9.
Given equation:-
f(x) = 2x - 9
We have to find which of the following are correct:-
f(-1) = -11 ,f(2) = 5 ,f(3) = -3 ,f(0) = -9 and, f(-3) = 15
Putting x = -1 in the given equation, we get:-
f(-1) = 2*(-1) - 9 = -2 - 9 = -11
Hence, this is true.
Putting x = 2 in the given equation, we get:-
f(2) = 2*(2) - 9 = 4 - 9 = -5
Hence, this is false.
Putting x = 3 in the given equation, we get:-
f(3) = 2*(3) - 9 = 6 - 9 = -3
Hence, this is true.
Putting x = 0 in the given equation, we get:-
f(0) = 2*(0) - 9 = 0 - 9 = -9
Hence, this is true.
Putting x = -3 in the given equation, we get:-
f(-3) = 2*(-3) - 9 = -6 - 9 = -15
Hence, this is false.
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PLS HELP ASAP THIS IS DUE TODAY!!!!!!
Are lines L1 and L2 Parallel? Are lines L1 and L4 perpendicular? Explain your thinking.
The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
In the question ,
it is given that ,
there are four line on the graph ,
to check whether lines are parallel or perpendicular , we need slope,
the Line L4 passes through the points , (0,-5) and (-2,-5),
slope = (-5+5)/(-2)
= 0
the Line L1 passes through the points (-3,-2) and (-6,-8) ,
slope = (-8+2)/(-6+3)
= -6/(-3)
= 2 ,
for the lines to be perpendicular the product of slope should be -1,
but the product of slope of Line1 and Line 4 is 0 .
So , they are not perpendicular .
the line L2 passes through the points (3 , 3.5) and (0 , -2.5) ,
slope = (3.5+2.5)/3
= 6/3
= 2 ,
Since the slope of Line1 and Line2 are equal ,
So , they are parallel .
Therefore , The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
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the sun of a first and second number is 184 three times the first number decreased by 212 is equal to the second number find the two numbers let x represent the first number and y represent the second number write the system of equations used to solve this problem
Answer:
B.is the answer.
Step-by-step explanation:
What is the linear function represented by the graph?
f(x) = 1/2x + 1
f(x) = -1/2x+ 1
f(x) = 1/2x+1/1/2
f(x) = -1/2x + 1/2
The linear function (B) [f(x) = -1/2x+ 1] represents the given graph with coordinates (0, 1) and (2, 0).
What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.So, the linear function that represents the graph:
We need to plot all the functions on the graph to get the correct linear function.After plotting, we came to the conclusion that function [f(x) = -1/2x+ 1] represents the same graph as shown in the figure.Therefore, the linear function (B) [f(x) = -1/2x+ 1] represents the given graph with coordinates (0, 1) and (2, 0).
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Complete question:
What is the linear function represented by the graph?
A. f(x) = 1/2x + 1
B. f(x) = -1/2x+ 1
C. f(x) = 1/2x+1/1/2
D. f(x) = -1/2x + 1/2
Ben paid $1200 for a sofa. The price of the sofa Juana purchased was ⅔ the price that Ben paid. How much did Juana pay for her sofa?
Answer:
800
Step-by-step explanation:
Choose the number line that could show this value square root of 101.
Given:
[tex]\sqrt[]{101}[/tex]Let's select the number line that could show this value.
To select the number line, let's first simplify the expression.
We have:
[tex]\sqrt[]{101}=10.05\approx10[/tex]The number line that will represent this value must have a dot on the point 10.
This is because the value √101 is approximately 10.
Therefore, the number line that could show this value is the number line with a point on 10.
The correct number line is:
ANSWER:
You are at a grocery store and the cost of your groceries is $32.75. You need to add the sales tax, which is 6%. You have one $20 bill, two $10 bills, one $5 bill, five $1 bills, and some pennies.
How much is your total bill including tax?
How much should you give the cashier so you do not get back any pennies?
What denominations will you use for this?
1. The total bill including sales tax is $34.72.
2. The amount the purchaser should pay the cashier is $34.72.
3. The denominations for the payment should be one $20 bill, one $10 bill, four $1 bills, and 72 cents (pennies).
How is the total cost determined?The total cost payable to the grocery store cashier is the cost of the groceries plus the sales tax.
The cost for groceries = $32.75
Sales tax = 6%
Total cost = cost plus sales tax
= $34.72 ($32.75 x 1.06)
We can check the sum as follows:
Unit Bill Amount
1 $20 $20
1 $10 10
4 $1 4
Cents 0.72
Total $34.72
Thus, the grocery purchaser will be spending $34.72, including the sales tax.
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write a system of equations that could be used to determine the number of tacos sold in the number of burritos sold. Define the variables that can you can use to write the system
Let x = number of burritos sold
Let y = number of tacos sold.
System of equations.
x = 2y (Twice as many burritos sold as there were tacos sold) (Equation 1)
7.5*x + 3.75*y = 750 (Total balance) (Equation 2)
What operation do they use? Whats the total amount they collected.
What operation is used. Is a multiplicarion between irrational numbers.
What is the amount collected
It must be multiplied 15.5 x 3.98
Replace 15.5 = 15+ 0.5
3.98 = 4-0.02
then 15x 4 + 0.5x4 - 15x(0.02) - 0.5x(0.02)
Then result 60 + 2 - 0.30 - 0.01
62 - 0.31 = 61.69
which of the points plotted below satisfy the equation in the box? check all that apply point Apoint Bpoint Cpoint Dpoint Epoint F
The equation is:
[tex]y=-3x[/tex]so is in the form y = mx + c
this means that C = 0 so the intersection when x = 0 y = 0 so the first point is (0,0)
we also know that the slope is negative, so only points in the II and IV cuadrant can be part of the line so we evaluate them:
For point A
[tex]\begin{gathered} 9=-3(-3) \\ 9=9 \end{gathered}[/tex]point A is part of the line (-3,9)
For point D
[tex]\begin{gathered} -6=-3(2) \\ -6=-2 \end{gathered}[/tex]So D is part of the line
So the solution is: PointsIf you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day! A, B, D
Answer:
correct answer: B and F
Step-by-step explanation:
To the nearest tenth, what is the best estimate of the value of 4/12 ?
Answer: 0.3 or 3/10
4/12 is equal to 1/3.
1/3 is closest to 0.3 when you round to the nearest tenth.
What is the midpoint of the segment shown below?1010-10(-8,-7)(-7,-8) -10- A. (-15, -15)B. (-15, -15) C. (-15, -15)D. (-15, -15)
Given
The line segment with end points (-8, -7), (-7, -8).
To find:
The midpoint of the given segment.
Explanation:
It is given that,
The line segment with end points (-8, -7), (-7, -8).
That implies,
[tex]\begin{gathered} Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{-8+(-7)}{2},\frac{-7+(-8)}{2}) \\ =(\frac{-8-7}{2},\frac{-7-8}{2}) \\ =(-\frac{15}{2},-\frac{15}{2}) \end{gathered}[/tex]Hence, the midpoint of the line segment is (-15/2, -15/2).
I would like to know the formula that was used to get 120 cm
The given figure is a 2d representation of a 3d figure. If we wrap this figure, we get a building block.
In the figure below, the unknown edges are written:
Now, we have to find the area of all the polygons given in the figure. It consists of two same triangles and three different rectangles.
The area of the two triangles is given below:
[tex]\begin{gathered} A=2\times\frac{1}{2}\times\text{base}\times\text{height} \\ =\text{base}\times\text{height} \\ =3\times4 \\ =12 \end{gathered}[/tex]Thus, the area of two triangles is 12 cm^2.
We know that the area of a rectangle is length times width. Now, the area of three rectangles is given below:
[tex]\begin{gathered} A=9\times5+9\times4+9\times3 \\ =45+36+27 \\ =108 \end{gathered}[/tex]Thus, the area of three rectangles is 108 cm^2.
So, the total area is 12 + 108 = 120 cm^2.
Help
Which statement is true?
Answer:
This table does not show a probability distribution because probabilities cannot be negative, and they cannot be greater than 1.
9 4/5÷3 1/2= i need help with it
Answer:
Step-by-step explanation:
2.8
Answer: 2.8
Step-by-step explanation: It's basic
x^{2}-8x+15 in vertex from
The vertex form of the expression is y = (x-4)²-1
What is vertex form?
In this little tutorial, we'll look at how to change a standard form into a vertex form and vice versa. A parabola's equation can be shown in various ways, including standard form, vertex form, and intercept form. Any of these forms can be changed into either of the other two depending on the situation. We will discover how to convert in this article.
The vertex form is y = (x-h)² + k
The only term with x with 2hx from the vertex form and 8x in order to form a standard form.
The given expression is x²-8x+15,
So 2hx = -8x
h = 4
Substituting in the original expression we will have
y = (x-4)²-1
Hence this is in vertex form.
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D - Add, Subtract, Multiply, and Divide Integer A submarine Is at a depth of 350 feet below sea level. It makes the following moves. • First, it goes down 150 feet. • Next, it goes up 132 feet. • Then, it goes down 179 feet. • Finally, it goes down 145 feet. Which statement describes its current depth? A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692. B It is 8 feet below sea level, because 350 + (-150) + 132 + (-179) + (-145) = 8. c It is 256 feet below sea level, because 350 + (-150) +..(-132) + (-179) + (-145) = -256. D It is 342 feet below sea level, because 150 132 179 145 = 342. AI B ci D
We have the next information
A submarine Is at a depth of 350 feet below sea level means -350
First, it goes down 150 feet. means -150
Next, it goes up 132 feet. means +132
Then, it goes down 179 feet. means -179
Finally, it goes down 145 feet means -145
then we have the next operations
-350+(-150)+132+(-179)+(-145)=-692
The sing minus means that It is below the sea level
therefore the correct choice is
A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.
What is the image of (0,−4)(0,−4) after a dilation by a scale factor of 22 centered at the origin?
Answer:
(0,-88) (0,-88)
Step-by-step explanation:
For dilations just multiply the pre-images coordinates by the scale factor to get the image's coordinates.
Solve a+5/6 =4 solve for a
Answer:
Step-by-step explanation:
solve using basic algebra
a+5/6= 4
a= 4-5/6
considering lcm of denominator
a= 24-5/6
=19/6
value of a is 19/6
hope this helps !!
Answer: I think the answer is 3.17
Step-by-step explanation:
a + 5/6 = 4
a + 0.83 = 4 (divide 5 by 6 to get 0.8333... and round to the nearest hundredth)
a + 0.83 - 0.83 = 4 - 0.83
a = 3.17
Hope this helps, brainliest if you get it right with 3.17 :)