=======================================================
Explanation:
Using a calculator shows that
1/12 = 0.0833333.... where the 3's go on forever7/8 = 0.87514/25 = 0.5617/20 = 0.856/10 = 0.6We see that nearly all of the decimal values are terminating decimals. This means the decimals don't go on forever, so the decimals stop at some point.
Only 0.083333... goes on forever, so that's why 1/12 converts to a repeating decimal number.
----------------------
A way you can determine this without a calculator is to use long division. Or you could use the idea that if the denominator has prime factors other than 2 and 5, then the decimal will repeat forever.
Note how the denominators of the fractions for choices B through E all have prime factors of either 2s only, 5s only, or a mix of 2s and 5s. This fact is why we have terminating decimals here.
In contrast, 12 has prime factorization 2*2*3. That 3 as a prime factor is why the decimal repeats forever.
The only fraction that converts to a repeating decimal number is 1/12.
What is decimal?Decimal is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
Given is to find a fraction that converts to a repeating decimal number.
Repeating decimals are the decimals of the form -
2.7777...
2.34343434...
2.43434343....
Now, we have the fractions and their corresponding decimal numbers as follows -
1/12 = 0.0833333333333333 : Yes7/8 = 0.875 : No14/25 = 0.56 : No17/20 = 0.85 : No6/10 = 0.6 : NoTherefore, the only fraction that converts to a repeating decimal number is 1/12.
To solve more questions on decimals, visit the link-
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Solve the inequality:
9-47 > 5
a.
b.
> 1
<-4
<1
C.
d. r <-1
Answer:
b
Step-by-step explanation:
Answer:
r < 1
-
1. Move the constant to the right
9- 4r > 5
2. Calculate
-4r > 5 - 9
3. Divide both sides
-4r > -4
4. Solution
r < 1
Teresa wants to buy 2 new tires for her mountain bike.
Answer:
For her mountain bike she will have 2 tires
Step-by-step explanation:
Answer:
Yeah, then what?
what is (5,12) reflected across the y-axis?
Answer:
-5,12 because its to the right obviously you rflect it to the left because its y axis and boom -5,12
Step-by-step explanation:
Answer:
(-5,12)
Step-by-step explanation:
because when you flip it across the y axis you change the first number in the coordinates
What's the square root of -3i
Answer:
-√-3
Step-by-step explanation:
Answer:The
Step-by-step explanation [tex]-\sqrt{-3}[/tex]
Pleased help please please please please.
Answer:
40
Step-by-step explanation:
3 + (2 + 8)2 + 4 X (4 | (2)
i need help
Answer: 1/2
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
In the figure shown, which composition of rigid motions will map one triangle onto the other?
A. a glide reflection
B. a reflection followed by a translation
C. two translations
D. a rotation followed by a translation
Answer: D. a rotation followed by a translation
A rotation followed by a translation describes the given transformation. Option D is correct.
Given that,
In the figure shown, which composition of rigid motions will map one triangle onto the other is to be discussed
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
A figure has shown,
Two triangles is given which are similar,
For the required trasformation one triangle is required to rotate following a certain translation,
Thus, a rotation followed by a translation describes the given transformation. Option D is correct.
Learn more about triangles here:
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How can the statement be rewritten as a conditional statement in if-then form? Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes. If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular. If lines are on a coordinate plane, then they are perpendicular. If lines are on a coordinate plane, then they have opposite reciprocal slopes. If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
Answer:
The first option. "If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular."
Step-by-step explanation:
It is the only one that makes sense, tbh. But, it includes the proper "if-then" form like the question requests it have. It also incorporates all aspects of the original statement-
a.) lines on a coordinate plane
b.) perpendicular
c.) opposite reciprocal slopes.
You're welcome. :D
Answer:
Its A
Step-by-step explanation:
edge 2021
A'Reana earns a weekly allowance for doing chores around the house and for keeping all of her grades above a C. During a particular week, she gave
$10 to her friend Taylor, spent half of the remaining money on a new shirt, and then spent $7.50 on a pizza. At this point, she had $37.50. How much is
A'Reana's weekly allowance?
Answer:
Answer: A'Reana's weekly allowance is $100
Step-by-step explanation:
Backward Solution
To solve some problems, we can work backward, using the inverse operations, to arrive at the solution.
The problem explains a sequence of expenses A'Reana does with her weekly allowance. In the end, she had $37.50.
That final balance came when she last spent $7.50 on a pizza. Thus, before that, she had $37.50+$7.50=$45
This balance is half of her previously remaining money. The other half was spent on a new shirt. Thus she had 2*$45=$90.
Those $90 were left after she gave $10 to her friend Taylor, thus, the initial money was $90+$10 = $100
Answer: A'Reana's weekly allowance is $100
An equation is shown below: 5(2x-8) +15 = -15 write the steps you will use to solve the equation and explain each step
Answer:
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
+25 +25 (add 25 to both sides)
____________
10x=10
divide by 10 on both sides
x=1
Answer:
x=1
Step-by-step explanation:
First youd distribute the 5 to the 2x-8 so that way you can combine like terms and make the equation smaller
10x - 40 + 15 = -15
combine the -40 and 15
10x - 25 = -15
add 25 to both sides to get 10x by itself on the one side. you have to add 25 to the -15 because the two sides must stay balanced
10x = 10
divide by 10 to get x by itself. you must divide since x is being multiplied by 10
x=1
A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds?
48.6 divided by 0.15
Multiply the divisor and dividend by
.
The new division problem becomes
.
The quotient of 48.6 ÷ 0.15 is
✔ 324
.
Estimating to check, you get
.
Answer:
Multiply the divisor and dividend by
✔ 100.
The new division problem becomes
✔ 4,860 ÷ 15.
The quotient of 48.6 ÷ 0.15 is
✔ 324 .
Estimating to check, you get
✔ 5,000 ÷ 15 = 333.33.
Step-by-step explanation:
i did edg.
Answer:
100, 4860 divided by 15, 324, 5,000 divided by 15 equals 333.33
Step-by-step explanation:
I took math test and got this right
7(3 + 4y) - 15y = 73
( Multi-step equations)
show work please and thank you
Answer:
Step-by-step explanation:
7(3+4y)-15y=73
21 plus 28y-15y=73
21 plus 13y = 73
13y=51
y=4
Step-by-step explanation:
Step 1: Multiply the 7 into the bracket.(make sure that your signs are correct)
Step 2: Minus the 21 from the 73.( Because when you take a value over the equal sign the value's sign changes)
Step 3: Minus 15y from 28y.
Step 4: Divide 52 by 13( because when you take the 13 over it divides ,because on the other side lf the equal the 13 multiples with the y)
Calculate the quotient. Simplify your results 2/7 divided 1 2/7
Answer:
1 4/7
Step-by-step explanation:
Find the vertex of the given function.
f(x) = 5x + 1 - 7
The vertex is at
Answer:
There is no vertex for this function since this is a slope formula. A vertex only occurs when there is a maximum or minumum of a given function, for example the quadratic formula with an x^2.
Step-by-step explanation:
you are travelling on a bus to camp which is 200miles away at 50mph.the number of miles,N,that you have left to travel after t hours
Answer:
N= 200-50t
Step-by-step explanation:
A meteorologist used the expression below to describe how the temperature changed.
Negative 5 + (negative 4)
Which statement could describe how the temperature changed?
The temperature was –5 degrees, then it increased 4 degrees.
The temperature was –5 degrees, then it decreased 4 degrees.
The temperature was 5 degrees, then it increased 4 degrees.
The temperature was 5 degrees, then it decreased 4 degrees.
Answer: the answer is C
Step-by-step explanation:
which regression equation best models the data?
a) y= 7.57 sin(0.55x + 0.68) + 64.40
b) y = 7.57 sin(0.68x + 0.55) + 64.40
c) y= 7.57 sin(-0.55x + -0.68) + 64.40
d) y = 7.57 sin(-0.68x + -0.55) + 64.40
Answer:
C. y = 7.57 sin(–0.55x – 0.68) + 64.40
Step-by-step explanation:
Just got it right on edge
Answer:
ITS C STAN SKZ
Step-by-step explanation:
A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tree. He measures his distance from the tree at 10 meters and angle of elevation to the tree at 54 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
the height of the tree to the nearest tenth of a meter is 13.8 meters
Step-by-step explanation:
The computation of the height of the tree is shown below:
Given that
Distance from the tree is 10 meters
And, the angle of elevation of the tree is 54 degrees
Now here we used the trigonometry
[tex]tan \theta = \frac{Height}{distance} \\\\tan 54^{\circ} = \frac{height}{10}[/tex]
So, the height is
= 10 × 1.38
= 13.8 meters
hence, the height of the tree to the nearest tenth of a meter is 13.8 meters
Elisa tiene 60 almendras y 70 pistachos y los quiere repartir en bolsas de manera que todas tengan el mismo contenido y que no sobren ni almendras y pistachos.
¿ Cuántas bolsas puede llenar?
¿ Cuántas almendras y cuántos pistachos tiene que poner en cada bolsa?
Answer:
10 bags,6 almonds and 7 pistachiosStep-by-step explanation:
Elisa has 60 almonds and 70 pistachios and she wants to distribute them in bags so that they all have the same content and that there are no excess almonds and pistachios.
How many bags can you fill?
How many almonds and how many pistachios does she have to put in each bag?
=====================
Prime factors of the given numbers:
60 = 2*2*3*570 = 2*5*7LCM(60, 70) = 2*5 = 10
The greatest number of the bags is 10
Each bag will contain:
60/10 = 6 almonds and70/10 = 7 pistachiosIf I were to simplify the expression 10-19 would my answer be a positive or a negative an why
Answer:
It would be negative. 10 subtracted by any number higher then 10 will always be negative. Make a number line and go backwards 19 if you need the help.
Step-by-step explanation:
Answer: It will be negative because 19 is greater than 10 and 19 itself is being subtracted from 10.
Step-by-step explanation:
10-19 is equal to -9.
An example is using the number line to plot the solution, you will start from 10 and move backwards 19 units because you are subtracting 19 from 10. If a bigger number is being subtracted from a smaller number, the solution will be always negative.
please help ill give brainliest
Answer:
d
Step-by-step explanation:
all of the others are no solution or multiple find them by eliminating variabls
CAN someone help me with this pls
WILL GIVE BRAINLIEST
Answer:
the answer would be $394.00
Step-by-step explanation: Brainliest please
because you divide 187.15 by 19 and that will be what she makes for zero than you multiply 9.85 by 40 then you get 394
Seth earns $20 a day and $2 for each ticket he sells at the local theatre. Write and solve an inequality that can be used to find how many tickets he must sell in a day to earn at least $85.
Write an inequality.
Answer:
2x + 20 >_ 85
Step-by-step explanation:
In this equation, the 85 represents how much he needs to make. The greater than or equal to symbol is basically stating that he needs to make an amount greater than or equal to 85. Our variable, x, will tell us how many tickets he needs to sell, and the 2 represents how much each ticket sells for. 2x is just saying that each ticket sells for 2 dollars. The 20 is how much he makes on a daily basis without the ticket sales. We have to include that in the 85. That's where our equation comes from :)
These two images show steps in a proof of the Pythagorean theorem. Which
of the following statements about the proof is false?
A. The triangles in step 1 have the same combined area as the triangles in step 2.
B. The area of the interior square in step two is greater than the combined area of the two interior squares in step 1.
C. The proof shows that a2+ B2=C2
D. If you subtract the sum of the areas of the four triangles from the complete figure in both steps, the remaining areas are equal.
Answer: B, the area of interior square in step 2 is greater than the combined area of the two interior squares in step 1.
Step-by-step explanation: I took the quiz and got it right
The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
These two images show steps in the proof of the Pythagorean theorem.
The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1.
Then the correct option is B.
More about the Pythagoras theorem link is given below.
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A TV has an original price of $499. If the price decreases by 10%, what is the new cost?
by the way i am in middle school
Answer:
The answer is 49.9
Step-by-step explanation:
499/10==49.9
Hope this helps
$449.10
I've attached a photo with my work :)
what are the measures of <1 and <2?
Answer:B
Step-by-step explanation:
what is 12.0 - 9.6= what
Answer:
Step-by-step explanation:
2.4
Answer:
2.4
Step-by-step explanation:
9.6 to 10 is .4
10 to 12 is 2
2+.4= 2.4
(That's how I do it mentally, sorry if it doesn't help with you)
What is the Celsius temperature for 144 degrees Kelvin
Answer:
144°K=-129.15°C
pls pls help.,.,.,.,.,.,.,.,.
Answer:
+5
Step-by-step explanation:
Answer:
y = -1/2 x + 1
Step-by-step explanation:
(-2, 2) and (4, -1) are points of the linear function, that will be described as:
y = ax + b
setting x=-2, y=2:
2 = -2a + b, so b = 2 + 2a
setting x=4, y=-1:
-1 = 4a + b ⇒ -1 = 4a + 2 + 2a ⇒ -3 = 6a ⇒ a = -1/2, b = 1
y = -1/2 x + 1
x/5=6/7 how do I solve for x?
Answer:
x=30/7
Step-by-step explanation:
you have to multiply both fractions by 5 to eliminate 5 from the first fraction(not the denominator of the second fraction) which makes the equation
x=30/7
Step-by-step explanation:
Isolate X first
[tex]\frac{x}{5} =\frac{6}{7}[/tex]
multiply both sides by 5 to get x on its own.
[tex]x =\frac{5*6}{7}[/tex]
simplify this fraction
[tex]x=\frac{30}{7}[/tex]
[tex]x = 4\frac{2}{7}[/tex]
There You go
