2/6 is the equivalent fraction for the fraction represented on the given number line. So, B is the correct option
What is an equivalent fraction ?
According to equivalent fractions, two or more fractions are considered to be equal if, following simplification, both provide the same fraction. Let's imagine that a/b and c/d are two fractions. If these fractions are simplified to produce comparable fractions, such as e/f, they are then equal to one another.
For instance, if we simplify 5/15, the resulting fraction is the same as 1/3, hence that is the equivalent fraction of 1/3.
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
as 2/6 can further reduced to 1/3 which is represented on to the number line as 1/3 which is equal to 2/6
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What is the equation of the line shown in the graph?
The equation of the given line is y = 2x + 4
What is the equation of a line?The equation y = mx + c is the general equation of any straight line, where m is the slope of the line and c is the y -intercept.
Given a line passing through points (-1, 2) and (-3, -2)
We know (y - y1) = [(y2−y1)/(x2−x1)](x - x1).
Therefore, y - 2 = [(-2-2)/(-3+1)](x+1)
y-2 = 2x + 2
y = 2x + 4
Hence, The equation of the given line is y = 2x + 4
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Select the correct answer.
A high school administration is considering making the school day shorter by reducing time between class periods. They conducted a
survey of 25 randomly selected students to get student feedback. From the survey, 20 of the 25 students would prefer the shorter
school day, even if it means less time between classes.
The school administration then administered the survey to five more groups of 25 randomly selected students. The study yielded
similar results in each of the groups. What generalization can be made from the results of this study?
About 80% of the students would prefer the shorter school day
The results are inconclusive; therefore a generalization cannot Je made regarding which option is selected more often.
The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
More than 80% of the students would prefer the shorter school day
Answer:
About 80% of the students would prefer the shorter school day
Step-by-step explanation:
20/25=.8
80/100=.8
If the results are similar then that will be your answer
Wesley had a going away dinner for his friend. He ordered pizza for them, but before
he got there Wesley's brother ate some. There was 3/4 of the pizza left to share
between Wesley and his friend. How much of the original pizza will each boy have?
The share of the original pizza each boy is:
Wesley's brother = 1/4
Wesley = 3/8
Wesley friend = 3/8
What is a fraction?A fraction is a part of a whole. It is expressed as a quotient, in which the numerator is divided by the denominator.
We have,
One pizza = 1
The amount Wesley's brother ate:
= 1 - 3/4
= 1/4
The amount left to share between Wesley and his friend = 3/4
The amount Wesley and his friend each share:
= 3/4 ÷ 2
= 3 / (4 x 2 )
= 3 / 8
The share of the original pizza each boy will be:
Wesley's brother = 1/4
Wesley = 3/8
Wesley friend = 3/8
We can crosscheck:
1 = 1/4 + 3/8 + 3/8
1 = (2 + 3 + 3) / 8
1 = 8 / 8
1 = 1
Thus,
The share of the original pizza:
Wesley's brother is 1/4
Wesley is 3/8
Wesley's friend is 3/8
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Indicate the method you would use to prove the two 's . If no method applies, enter "none".
SSS
ASA
SAS
AAS
None
The method you would use to prove the two triangles are congruent include the following: B. ASA.
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Additionally, the lengths of corresponding sides are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.
In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
you did not provide enough information to answer the question
What is the reciprocal of 11 over 2
Answer:
2/11
Step-by-step explanation:
reciprocal is just the fraction flipped.
Enter the value of n for the equation
Answer:
n = 14
Step-by-step explanation:
When you are multiplying exponents with the same base, you add them.
11 + 3 = 14.
Therefore, n = 14
OZ
Find 4 consecutive odd integers such that the sum of the first and the last is the same as 9 less than the third
9514 1404 393
Answer:
-11, -9, -7, -5
Step-by-step explanation:
Let x represent the third of the odd integers. Then the first is (x -4) and the last is (x +2). We are told their sum is ...
(x -4) +(x +2) = x -9
2x -2 = x -9
x = -7 . . . . . . . . . . add 2-x
The integers are -11, -9, -7, -5.
How do you solve
8x(x^2+ 2x -4)
Answer:
answer and explanation in the pic above
hope it helps
which function BEST represents the graph shown?
A) y=2x +4
B) y=4x +2
C) y=2x -4
D) y=4x -2
In the figure below, m ZWXZ=68°, and m L 1 is three times m L 2. Find m L 2.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Explain about the Angle?The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.
Angle ZWXZ was divided into two angles, 1 and 2, by XY.
Given that 1 is three times 2, angle 1 would be represented by 3x if we let x represent 2.
m<1 + m<2 equals m<ZWXZ
68 add like terms for 3x + x
Divide both sides by 4 if 4x = 68
x=17
The measure of angle 2 is 17 since x = 17
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The measure of angle 2 is 17 since x is 17.
Explain about the Angle?The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.
Angle ZWXZ was divided into two angles, 1 and 2, by XY.
Given that 1 is three times 2, angle 1 would be represented by 3x if we let x represent 2.
m<1 + m<2 equals m<ZWXZ
68 add like terms for 3x + x
Divide both sides by 4 if 4x = 68
x=17
The measure of angle 2 is 17 since x = 17
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Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.
Step-by-step explanation:
→ Substitute x = -6 into f ( x )
( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8
→ Simplify
216 - 108 + 12 - 8
→ Simplify further
112
You and a friend go to the local taco joint for lunch. You order three tacos and three burritos and your bill totals $11.25. Your friend's bill is $10.00 for 2 burritos and 4 tacos. Which system of equations can be used to determine the cost of b, a single burrito, and t, a single taco?
A.
3t + 3b = 10
2t + 4b = 11.25
B. 3t+ 3b = 11.25
2t + 4b = 10
C. 3t+ 3b = 10
4t + 2b = 11.25
D. 3t + 3b = 11.25
4t + 2b = 10
Answer:
d
Step-by-step explanation:
Which of the following angles is NOT congruent to 6?
3
2
7
1
Answer:
1
Step-by-step explanation:
We can see that 7 is equal to 6, as opposite angles are the same.
We can also see that 2 is also 6, as corresponding angles are equivalent.
Therefore, 3 is also congruent to 6, as it is equal to 2.
Hope that this helps!
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 2100(0.96)^x
I don't know exactly but I have gotten decrease
Answer:
decay decrease 4%
Step-by-step explanation:
Just did it on deltamath
What is $2088.523125 Rounded to the nearest dollar?
9514 1404 393
Answer:
$2089
Step-by-step explanation:
One way to do this rounding is to add $0.50, then drop all of the fractional digits.
$2088.523125 + 0.50 = $2089.023125
Dropping all of the digits right of the decimal point gives $2089.
11 coommon factor of
Which of the following sets of numbers is a Pythagorean triple?
Answer:
12,16,20
Step-by-step explanation:
because in Pythagoras theorem m/2
Use the distributive property to write an equivalent expression 2(8x+9)
simplify this algebraic expression.
y-3/3+12
A.y+11
B.y-5
C.y+13
D.y-11
Answer:
A. y+11
Step-by-step explanation:
-3/3 = -1
12 + ( -1 ) = 11
y + 11
hope this helped :)
Suppose a newly-born pair of rabbits, one male and one female, are put in a field. Rabbits are able to
mate at the age of one month so that at the end of its second month a female can produce another pair of
rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male,
one female) every month from the second month on. How many pairs will there be in one year?
At the end of the year there will be 356 rabbit.
What is Fibonacci sequence?Fibonacci sequence is a sequence, in which each number is the sum of the two preceding ones. The numbers in the Fibonacci sequence is the Fibonacci numbers.
Suppose a newly-born pair of rabbits, one male and one female, are put in a field.
Let \(f_{1},f_{2},f_{3} ,........f_{12}\) represents the number of rabbit in the month 1, month2,....month12.
i.e., \(f_{1} =2, f_{2} =2\)
At the end of its second month a female can produce another pair of
rabbits. i.e., \(f_{3}=4\).
At the end of third month a parent female produce one pair and the daughter female produce one pair. i.e., \(f_{4} = 8.\)
Similarly it goes on for 12 months.
Using fibonacii sequence, the general term is,
\(f_{n} =f_{n-1}+f_{n-2}\)
for 5th month
\(f_{5} =f_{4} +f_{3} =8+4=12\)
\(f_{6} =f_{5} +f_{4} =12+8=20\)
\(f_{7} =f_{6} +f_{5} =20+12=32\)
\(f_{8} =f_{7} +f_{6} =32+20=52\)
\(f_{9} =f_{8} +f_{7} =52+32=84\)
\(f_{10} =f_{9} +f_{8} =84+52=136\)
\(f_{11} =f_{10} +f_{9} =136+84=220\)
\(f_{12} =f_{11} +f_{10} =220+136=356.\)
Hence, at the end of the year there will be 356 rabbit.
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A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
A. 45 m³
B. 54 m³
C. 69 m³
D. 108 m³
Area of base:-
1/2(6)(4)3(4)12m^2Now
Volume:-
Area of base× Height12(4.5)48+654m^3Answer:
the answer is 54 that person is correct i just took the quiz and got 100% to
Step-by-step explanation:
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
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Divide,
(9x^2+ 30x+25) divided by (3x+5)
Your answer should give the quotient and the remainder.
Answer:
(3 x - 5)^{2}
Step-by-step explanation:
Rewrite the expression into the form of a^2\pm 2ab+b^2:(3 x)^{2} - 2 \times 3 x \times 5 + 5^{2}
Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(3 x - 5)^{2}
Answer: (3 x - 5)^{2}
A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.
Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?
Answer:
NO.
Step-by-step explanation:
The Professor's hypothesis:
An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).
25 students are used as the experimental group while the rest of the class are the control group.
The mean GPA in a sample size (SS) of 6 is = 2.58
The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.
This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.
Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:
[2.58 - 0.6] to [2.58 + 0.6]
= 1.98 to 3.18
The rest of the graduating class (the control group) had a mean GPA of 2.33
Can the professor conclude that the GPA for the sample is significantly different from that of the control group?
The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds?
Answer:
57 meters per 3 seconds
Step-by-step explanation:
^^^
Which of the following options have the same value as 25%, percent of 64?
Answer:
There are no options???
Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
An ice cream factory makes 170 quarts of ice cream in 5 hours. How many
quarts could be made in 36 hours? What was that rate per day?
The amount of quarts which will be made in 36 hours and the production rate per day is :
1224 quarts on 36 hours 816 quarts in a dayGiven the Parameters :
Time taken to make 170 quarts = 36 hours
Number of quarts made in 36 hours using the proportional relationship :
170 = 5
p = 36
Cross multiply :
5p = 170 × 36
5p = 6120
p = 6120 / 5
p = 1224 quarts
The production rate per day :
Number of hours in a day = 24 hours
170 = 5
p = 24
Cross multiply
5p = 170 × 24
5p = 4080
p = 4080/5
p = 816
Therefore, the production rate per day is 816 quarts
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