The fraction [tex]\( \frac{2}{3} \)[/tex] results in a repeating decimal [tex]\( 0.\overline{6} \)[/tex], which falls between 0.5 and 1.
Sure, here's a step-by-step explanation:
1. Start with the fraction: We begin with the fraction [tex]\( \frac{2}{3} \)[/tex].
2. Convert to decimal: To convert this fraction to a decimal, divide the numerator (2) by the denominator (3).
[tex]\[ \frac{2}{3} = 0.66666... \][/tex]
The decimal representation of [tex]\( \frac{2}{3} \) is \( 0.\overline{6} \)[/tex], which means the digit 6 repeats infinitely.
3. Determine where it falls between 0.5 and 1: Since the decimal [tex]\( 0.\overline{6} \)[/tex] is greater than 0.5 and less than 1, the fraction [tex]\( \frac{2}{3} \)[/tex] indeed fits the criteria of being a fraction with a repeating decimal between 0.5 and 1.
in one math class there are 30 students, 12 of them are "nontraditional" in terms of age . If you randomly pick one person from that class, what's the probability that he or she will be of nontraditional age
Answer:
the answer will be 12/30
If f(x) = 1/x+1 and g(x) = x^2, what does f(g(-1)) equal?
A. -1
B. -1/2
C. 0
D. 1/2
E. 1
Answer:
D: f(g(-1)) = 1/2
Step-by-step explanation:
f(x) = 1/(x + 1)
g(x) = x²
g(-1) = 1
f(g(-1)) = 1/(1 + 1)
f(g(-1)) = 1/2
Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5th string.
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
Solve the equation for the specified variable
Y=cd-8, for c
6×104 find the value
Answer:
624
Step-by-step explanation:
Question 1 of 10
2 Points
Use long division to find the quotient below.
(3x² - 5x-2) = (x-2)
A. 24-1
B. 3x-1
C. 2x+1
D.3x + 1
Answer:
3x+1
Step-by-step explanation:
Round 9.843 to the nearest tenths
Answer: 9.8
Step-by-step explanation:
nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours
Answer:
7.25 and 10.75 Hours
Step-by-step explanation:
Total hours Nalia and Lisa worked = 18 Hours
Nalia worked 3.5 hours then Lisa which is [tex]h[/tex] hours
⇒[tex]h + (h + 3.5) = 18[/tex]
[tex]2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25[/tex]
Lisa has worked for 7.25 hours
Nalia has worked for = 7.25 + 3.5 = 10.75 hours
What decimal is equal 35%
Answer: 0.35
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left. Therefore, 82 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.
35% can be written as the decimal 0.35.
The decimal equivalent of 35% is 0.35 .
Given,
35%
Now,
To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left.
Therefore, 35 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.
Hence,
35% can be written as the decimal 0.35.
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2,3,5,7,11,13 find the next 5 numbers
Answer:
15,17,19,21,23
Step-by-step explanation:
It goes up by 2
The great factory makes 6,793 toys each day. It makes 257 more toys than the super toy factory. How many toys does the super toy factory make each day?
Final answer:
The super toy factory makes 6,536 toys each day, which is calculated by subtracting the 257 additional toys made by the great factory from its total production of 6,793 toys.
Explanation:
To determine how many toys the super toy factory makes each day, we need to subtract the number of additional toys made by the great factory from its total daily production. The great factory makes 6,793 toys each day and it makes 257 more toys than the super toy factory. So:
Number of toys made by the super toy factory = Number of toys made by the great factory - Extra toys made by the great factory
Number of toys made by the super toy factory = 6,793 - 257
After performing the subtraction:
Number of toys made by the super toy factory = 6,536
Therefore, the super toy factory makes 6,536 toys each day.
Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?
4,926 is the answer since of the expanded form written, 4,000 + 900 + 20 + 6, but there is no decimal since nothing says tenths or hundredths or thousandths.
Hope this helped!
Nate
The decimal equivalent of 4 thousands, 9 hundreds, 2 tens, and 6 ones is 4926. This is calculated by adding the value of each quantity: 4000 (from the 4 thousands), 900 (from the 9 hundreds), 20 (from the 2 tens), and 6 (from the 6 ones)
Explanation:The question is asking for the decimal equivalent of the quantity represented by 4 thousands, 9 hundreds, 2 tens, and 6 ones. To determine the answer, you would simply total the value of each quantity: 4 thousands equals 4000, 9 hundreds equals 900, 2 tens equals 20, and 6 ones equals 6. When you add these values together (4000 + 900 + 20 + 6), you get the total value of 4926 which is the decimal equivalent that we are looking for.
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3. Your father gives one-half of the money in his pocket to your mother, one-fourth of what is left to your brother, and one-third of what then remains to your sister. He then splits the rest with you. If you get $4.00, how much did your father start with?
Answer:
The father start with $16
Step-by-step explanation:
Let
x -----> the original amount of money
step 1
Your father gives one-half of the money in his pocket to your mother
[tex]\frac{1}{2}(x)=\frac{1}{2}x[/tex]
The remaining is
[tex]x-\frac{1}{2}x=\frac{1}{2}x[/tex]
step 2
Your father gives, one-fourth of what is left to your brother
[tex](\frac{1}{4})\frac{1}{2}x=\frac{1}{8}x[/tex]
The remaining is
[tex]\frac{1}{2}x-\frac{1}{8}x=\frac{3}{8}x[/tex]
step 3
Your father gives one-third of what then remains to your sister
[tex](\frac{1}{3})\frac{3}{8}x=\frac{3}{24}x[/tex]
The remaining is
[tex]\frac{3}{8}x-\frac{3}{24}x=\frac{6}{24}x=\frac{1}{4}x[/tex]
step 4
Your father gives the rest with you
[tex]\frac{1}{4}x=\$4[/tex]
[tex]x=\$16[/tex]
therefore
The father start with $16
Given AC = LN and BA= ML, which statement must be
true?
MBC
BC > MN
BC = MN
BA= LN
Answer:
The answer is A
Step-by-step explanation:
Answer: The correct Answer Is A BC<MN
Step-by-step explanation:
PLEASE HELP! ILL MARK BRAINLIEST Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = nine divided by x squared + 2
y = (9 / (x^2)) + 2
Rewrite in terms of f(x):
y = (9/(g(x))) + 2
To get
g(x) = x^2
f(x) = 9/x + 2
What group set out to make sure woman knew how to use their votes wisely? -Apex
A. AWSA
B. NWSA
C. NAWSA
D. League of Women Voters
The group set out to make sure woman knew how to use their votes wisely is NWSA
What is National Woman Suffrage Association?The National Woman Suffrage Association (NWSA) was formed on May 15, 1869, to work for women's suffrage in the United States. Its main leaders were Susan B. Anthony and Elizabeth Cady Stanton.
Given is to find out which group set out to make sure woman knew how to use their votes wisely.
The NWSA wanted a constitutional amendment to secure the vote for women, but it also supported a variety of reforms that aimed to make women equal members of society.
Therefore, the group set out to make sure woman knew how to use their votes wisely is NWSA.
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Simplify by combining like terms: 10x - 12y + 8 + 12y
the simplified expression is [tex]\( 10x + 8 \)[/tex].
To simplify the expression[tex]\( 10x - 12y + 8 + 12y \)[/tex] by combining like terms, follow these steps:
1. Combine the terms with the same variable:
[tex]\[ 10x - 12y + 8 + 12y \] \[ = (10x) + (-12y + 12y) + 8 \] \[ = 10x + 0y + 8 \] \[ = 10x + 8 \][/tex]
So, the simplified expression is [tex]\( 10x + 8 \)[/tex].
What are the coordinates of P' when angle PQR is dilated by a scale factor of 3 using the origin as the center ?? What's the answer??
A) (6, 18)
B) (3, 2/3)
C) (2/3, 3)
D) (18, 6)what is the answer
Answer:
D
Step-by-step explanation:
After dilated by a scale factor of 3 using the origin as the centre the point P(6, 2) become P'(18, 6) option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have an angle PQR is dilated by a scale factor of 3 using the origin as the centre.
Here the point P is not given, so we are assuming the point P is (6, 2)
After dilated by a scale factor of 3 using the origin as the centre:
P' = (6×3, 2×3)
P' = (18, 6)
Thus, after dilated by a scale factor of 3 using the origin as the centre the point P(6, 2) become P'(18, 6) option (D) is correct.
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Identify the written form of this number 4,812,000
Answer: Four million eight hundred twelve thousand
Hope this helps you!
Answer:
four million eight hundred and twelve thousand
Step-by-step explanation:
Can you explain this for me it im3 thank you
Answer: see graph (attached)
Step-by-step explanation:
This is 4 line segments on one graph.
Segment 1
y = -2 when x is between -2 and -1
including -2 (closed dot) excluding -1 (open dot)Segment 2
y = -1 when x is between -1 and 0
including -1 (closed dot) excluding 0 (open dot)Segment 3
y = 0 when x is between 0 and 1
including 0 (closed dot) excluding 1 (open dot)Segment 4
y = 1 when x is between 1 and 2
including 1 (closed dot) excluding 2 (open dot)See graph for each of the line segments plotted on the graph
SV is an angle bisector of ∠RST. If m∠RSV = (2x + 8)° and m∠RST = (6x − 26)°, find x.
Answer:
x = 21
Step-by-step explanation:
Given that SV is the angle bisector of ∠RST, then
∠RSV = ∠TSV, thus
∠RSV + ∠TSV = ∠RST ← substitute values
2x + 8 + 2x + 8 = 6x - 26, that is
4x + 16 = 6x - 26 ( subtract 6x from both sides )
- 2x + 16 = - 26 ( subtract 16 from both sides )
- 2x = - 42 ( divide both sides by - 2 )
x = 21
I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I
The shape described is a square, having four sides, two pairs of parallel sides, and four right angles, making it two sides fewer than a hexagon.
The shape you are referring to is one with four sides, two pairs of parallel sides, and four right angles. A hexagon has six sides, so a shape with two fewer sides would have four sides. This description matches that of a rectangle. However, since all angles are right angles, which is 90 degrees, this particular rectangle is also a square. Therefore, the pattern block shape you are asking about is a square, which fits the criteria of having two fewer sides than a hexagon, two pairs of parallel sides, and four right angles.
Can anyone help me with this question please.(12points)
Answer:
8(8 + 7 + 5)
8(7 + 5)
40 + 56
15 + 13
(8 - 7) + (8 - 5)
Step-by-step explanation:
8 (64 + 56 + 40)
8(56 + 40)
96
28
1 + 3
Evaluate x + y + z for x = 2, y=-3, z=-4
Answer:
-5 is the answer
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
You have to plug the numbers for each letter
2 + (-3) + (-4) / 2 - 3 - 4 = -5
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What is -6 + 5a - 6a - 10 - 4a simplified
Answer:
-5a -16
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
=5a -6a -4a -10 -6
= -5a -16
Answer:
-16 - 5a
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
= -6 - 10 = -(6 + 10)
= -16
= -16 + 5a - 6a - 4a
= 5a - 6a - 4a
= (5 - 6 - 4)a
= -5a
= -16 - 5a
Simplify the expression -3/8 -1/10
The simplified expression is -11/40.
The expression -3/8 - 1/10 can be simplified by following these steps:
1. Find a common denominator for the two fractions. The smallest number that both 8 and 10 can divide into is 40.
2. Rewrite the fractions using the common denominator.
-3/8 = -15/40
-1/10 = -4/40
3. Subtract the rewritten fractions.
-15/40 - (-4/40) = -15/40 + 4/40 = -11/40
Therefore, the simplified expression is -11/40.
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A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant.
a. Write an expression to show how to find the total number of oranges ordered.
b. Next week, Mr. Lee will double the number of boxes he orders. Write a new expression to represent the number of oranges in next week’s order.
c. Evaluate your expression from Part (b) to find the total number of oranges ordered in both weeks.
Answer:
a)480
b)960
c)1440
Step-by-step explanation:
We are given the following information:
Number of oranges in a box = 24
a)Boxes ordered by Lee for his store = 8
Number of boxes ordered by Lee for his restaurant = 12
Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box
[tex]= (8+12)\times 24 = 20\times 24 = 480[/tex]
b) Now Mr. Lee doubled his order for next week.
Boxes ordered by Lee for his store = 16
Number of boxes ordered by Lee for his restaurant = 24
Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box
[tex]= (16+24)\times 24 = 40\times 24 = 960[/tex]
c) Total number of oranges ordered =
[tex](20\times 24) + (40\times 24) = (20+40)\times 24 = 1440[/tex]
Therefore, total 1440 oranges were ordered by Mr. Lee.
Whats
180,000+66. ; )
Answer:
I'm gonna take a wild guess and say 180,066 ;)
Answer:
180,066
Step-by-step explanation:
Simply add the two numbers. :) 180,000
+ 66
-------------
180,066
what is the answer to -52 + 8|-1| + (-3)
Answer:
the answer is is -47
Step-by-step explanation:
First take the 8|-1|
anything between the lines is turned positive. therefore it simplifies to just 8 * 1
so, now we have -52 + 8 + (-3)
-52 + 8= -44
-44+(-3)=-47
hope this helps you! ^^
How many solutions does this equation have?
7 - 8 = -8j
no solution
one solution
infinitely many solutions