Answers
The sign that makes the statement true is < (less than): 1/3 < 2/3.
What is inequality?In mathematics, an inequality is a mathematical expression that shows the relationship between two values or quantities, usually indicating which value is greater than, less than, or equal to the other. Inequalities are represented by the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, x < y means x is less than y, and x ≥ y means x is greater than or equal to y. Inequalities can also involve variables, and can be solved to find the range of values that make the inequality true.
Here,
The statement 1/3 < 2/3 means that the value of 1/3 is less than the value of 2/3. In other words, when we compare the two fractions, we find that 2/3 is larger than 1/3.
To understand this better, we can think of a whole object (e.g. a pizza) that we want to divide into three equal parts. If we take only one of those parts, that would be represented by the fraction 1/3. On the other hand, if we take two of those equal parts, that would be represented by the fraction 2/3. Therefore, 2/3 is a larger fraction than 1/3, which is why the sign < (less than) makes the statement true.
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Related Questions
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answers
Answer:
Height, h = 20.99 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99mm.
Therefore, the height of the cone is 20.99 millimeters.
11 - m = 51 - 6m solve for m
Answers
This should be the answer if not let me know
2/2m=8 2/2
Answer: m = 8.
Step-by-step explanation: Proof:
How many 3/5 are in 7
Answers
Answer:
11.6
Step-by-step explanation:
7 ÷ ⅗ = 11.6
I hope this answer is satisfactory. Please comment if you have any concerns.
Answer:
35/3 or 11 2/3
Step-by-step explanation:
This is a division problem.
We need to divide 7 by 3/5.
7 / 3/5 = 7/1 / 3/5 = 7/1 * 5/3 = 35/3 = 11 2/3
Answer: 35/3 or 11 2/3
Jeff Brown has collected sales data for his cupcake stand. Calculate the exponential smoothing forecast for period 13 with α = 0.4. And F2 = A1. Round your answers to 2 decimals. Time 1 2 3 4 5 6 7 8 9 10 11 12 Sales 48 41 37 32 36 31 43 52 60 48 41.9 29.7
Answers
Answer:
The exponential smoothing forecast for period 13 = 39.68
Step-by-step explanation:
As given,
[tex]\alpha[/tex] = 0.4
Time Sales forcast
1 48
2 41 48
3 37 48 + [tex]\alpha {(41 - 48)}[/tex] = 45.2
4 32 45.2 + [tex]\alpha {(37 - 45.2)}[/tex] = 41.92
5 36 41.92 + [tex]\alpha {(32 - 41.92)}[/tex] = 37.95
6 31 37.95 + [tex]\alpha {(36 - 37.95)}[/tex] = 37.17
7 43 37.17 + [tex]\alpha {(31 - 37.17)}[/tex] = 34.70
8 52 34.70 + [tex]\alpha {(43 - 34.70)}[/tex] = 38.02
9 60 38.02 + [tex]\alpha {(52 - 38.02)}[/tex] = 43.61
10 48 43.61 + [tex]\alpha {(60 - 43.61)}[/tex] = 50.17
11 41.9 50.17 + [tex]\alpha {(48 - 50.17)}[/tex] = 49.30
12 29.7 49.30 + [tex]\alpha {(41.9 - 49.30)}[/tex] = 46.34
13 46.34 + [tex]\alpha {(29.7 - 46.34)}[/tex] = 39.68
∴ we get
The exponential smoothing forecast for period 13 = 39.68
Is ABC= DEF? If so, name the congruence postulate that applies.
Answers
Step by step: in the question it tells you the two of the angles are the same and one of the sides are the same so it’s angle side angle(ASA)
Answer:
B)
Step-by-step explanation:
a p ec
Which set of numbers below DO NOT make a triangle?
7,7,7
6, 3, 3
3,4,5
5, 11,7
Answers
Answer:
6, 3, 3 (B)
Step-by-step explanation:
Two sides of a triangle must be greater than the remaining side
A way to think about this is like this:
The two shortest sides of a triangle must be greater than the final side
Go through this process for each option and find the B does not work
how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?
Answers
Answer:
4 different odd integers: 25, 45, 55, 85
Step-by-step explanation:
Find the length of JL.
Answers
4.5 units is the value of the length of JL
120
'N
A) 350
C) 135
D) 120
Answers
Answer:
it is d 120
Step-by-step explanation:
What is the difference between qualitative and quantitative data
Answers
Answer: D) Qualitative data is not collected by instruments, it is just observations
Quantitative data deals with numeric values, which is collected by instruments usually. For example, if you're weighing various rocks, then each numeric weight value is part of the quantitative data set. The color of each rock would be qualitative data as you simply look at the rocks and record the color. It will depend on what question you're trying to answer as to whether quantitative data or qualitative data is more useful. Sometimes you may need both types.
Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0
Answers
Answer:
A
Step-by-step explanation:
9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.
Answers
Answer:
C
Step-by-step explanation:
Darby's equation in slope-intercept form: y = 4x + 6
Where,
Slope (m) = 4
y-intercept (b) = 6
Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.
Slope (m) using (0, 6) and (2, 14)
Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2
Slope (m) = 4
y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.
Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6
Both will have the same line.
Jessie stacked photographs of 6 zoo animals on top of each other to create a display. Each photo is 14 1/4 in. high. How high is the display?
Answers
Answer:
85 1/2 inches
Step-by-step explanation:
14 1/4 x 6 = 85 1/2 inches
Hope that helps!
Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)
Answers
Answer:
a c
Step-by-step explanation:
HELP! Brainliest to first correct answer with work shown!
Answers
Answer:
Step-by-step explanation:
A. f(8) = 11
B. f(x) = 7, so x = 3
Which statement is true about compound interest?
The interest is figured on the principal only.
The amount in the account grows slower than with simple interest of the same rate.
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
Answers
Compound interest is the interest calculated using the principal and the interest over a period of time.
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + rn)^{nt}[/tex]
P = principal
r = rate
t = time in years
n = number of times compounded in a year.
We have,
The interest is figured on the principal only.
This is not true because we calculate the compound interest on the interest as well.
The amount in the account grows slower than with simple interest of the same rate.
This is not true because we are calculating the interest on the principal and interest together.
The amount with compound interest will be more than the amount with simple interest.
The interest can be compounded over different time intervals.
This is true because we can have different time intervals such as,
monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.
The interest in most banks is not calculated using compound interest.
This is true because banks don't calculate using compound interest.
Thus,
The statements that are true about compound interest are:
The interest can be compounded over different time intervals.
The interest in most banks is not calculated using compound interest.
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A local radio station conducted a survey about stay-at-home parents by randomly dialing home numbers on weekdays until responses from 500 adults were collected. Twenty-six percent of those who responded said they were stay-at-home parents. In reality, only four percent were actually stay-at-home parents at the time of the survey. Which of the following best explains the difference in the two percentages?
a. The difference is due to voluntary response. Adults are able to volunteer as members of the sample.
b. The difference is due to undercoverage bias. The survey included only adults with telephones.
c. The difference is due to response bias. Adults who are stay-at-home parents are likely to say they are employed outside the home.
d. The difference is due to sampling variability. We should not expect the results of a random sample to match the truth about the population every time.
e. The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.
Answers
Answer:
The difference is due to nonresponse bias. Adults who are stay-at-home parents are more likely to be available for the sample than adults who are employed outside the home.
E on multiple choice
Step-by-step explanation:
.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.
Answers
Answer:
$210
Step-by-step explanation:
the expression is 25a+10c-5
where a=adults,c=children
and we have 5adults and 9 children
then 25a + 10c - 5 is
25(5)+10(9)-5
=125+90-5
=210
answer:Monica is going to purchase tickets for 5adults and 9 children for$210
The population of a city decreases by 1.2% per year. If this year's population is
242,000, what will next year's population be, to the nearest individual?
Answers
Answer:
Your answer
212960
Mark it as Brainlist answer. Follow me to get more answer
Step-by-step explanation:
Answer: it is actually 239096
Step-by-step explanation:
Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $184, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):
a. ∑y
b. (∑y)^2
c. ∑y^2
Answers
Answer:
a) 910
b) 828100
c) 144320
Step-by-step explanation:
a. ∑y
This is the sum of all values of y. So
[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]
b. (∑y)^2
This is the square of the sum, so the square of 910, that we found in the previous item.
910² = 828100
c. ∑y^2
This is the sum of the squares of each amount spent. So
[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]
Find the class boundaries mid point and width for the class 37-46
Answers
Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)
Answers
2.66666 rounded to 2.67 or 2.7
A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?
Answers
Answer:
a.b=12 ise öncelikle çarpılarak 12 eden sayıları bulmalıyız;
4.3=12
6.2=12
12.1=12
şimdi toplamları en fazla ve en az olan çarpımları bulmalıyız toplamları en fazla olan çarpım;
12.1 den 12+1=13 tür
toplamları en az olan çarpım ise;
4.3 den 4+3=7 dir
I need help with this
Answers
Answer:
I believe D
It's sheds video games in a good light!
Hope that helps!
Answer:
yeah d seems to be the most likly
Step-by-step explanation:
What is the least common denominator for 1/3 and 3/4? please I need this quickly
Answers
Answer:
12
Step-by-step explanation:
5x(f-29) divided by 7 for f=78
Answers
Answer:
35
Step-by-step explanation:
(5x(78-29))/7=
(5x49)/7=
35
Someone help me on question 4 plsss
Answers
Answer:
I think C
Step-by-step explanation:
If a manufacturer's list price is $800 and Bill's Outlet buys the goods for $650, what is the trade discount percent? (Round answer to
the nearest hundredth percent)
Answers
Answer:
The discount percent is 18.75%
Step-by-step explanation:
The amount of money that was lost in this discount is $150, to calculate the percent, you subtract the original price by the discounted price, and then divide the difference by the original price and multiply that by 100% to get the discount percent. [tex]\frac{150}{800}[/tex] * 100% equals 18.75%, so that would be the discount percent.
a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9
Answers
Answer:
$3
Step-by-step explanation:
45/3=15
15/5=3
Please help for instant brainliest.
Answers
x-y= 7
