The mental math for the fraction is shown below.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Model: 1 1/4 + 2 1/3 + 3 2/3 + 4 1/2 + 5 1/2 + 6 3/4
Now, if we use mental math then we can add the whole number first.
1 + 2 + 3 + 4 + 5 + 6 = 21
Now, add the fraction with same denominator
1/3 + 2/3 = 3/3 = 1
1/2 + 1/2 = 1
1/4 + 3/4 = 4/4 = 1
Finally add all of them
21 + 1+ 1 +1= 24.
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Find the value of x that makes the quadrilateral a parallelogram 2x + 3x+7? Someone help me please:(
The value of x = 4 makes the quadrilateral a parallelogram.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
Given:
The shape is a quadrilateral.
The opposite sides are parallel.
To show that the given quadrilateral is a parallelogram :
The opposite sides of the parallelogram are equal.
So,
2x + 3 = x + 7
2x - x = 7 - 3
x = 4
Therefore, the value of x is 4.
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The complete question is given in the attached image.
Use point-slope form to write the equation of a line that passes through the point
Answer:
y + 13 = - [tex]\frac{2}{3}[/tex] (x + 11)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{2}{3}[/tex] and (a, b ) = ( - 11, - 13 ) , then
y - (- 13) = - [tex]\frac{2}{3}[/tex] (x - (- 11) ) , that is
y + 13 = - [tex]\frac{2}{3}[/tex] (x + 11)
If P(D) = 0.26 and P(R) = 0.38, what is P(D or R) if D and R are independent?
If D and R are independent, then P(D or R) = 0.8412
What are independent events?Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B)
P(D) = 0.26 and P( R) = 0.26 , if D and R are independent, then,
P(D or R) = P(D) + P(R) - P(DnR)
then P(DnR) = P(D) × P(R) = 0.26×0.38 = 0.0988
P(D or R) = 0.26+0.38-0.0988
= 0.8412
Therefore the probability of P(D or R) if D and R are independent is 0.8412
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true or false, a geometric solid has length width, and height
The floor of a round hut has a diameter of 4 yards. What is the floor's area?
Step-by-step explanation:
The floor of a round hut has a diameter of 4 yards. What is the floor's area?
Answer:
12.56637 or 4 pi hope this helps
ANYONE GOOD AT MATH PLEASE HELP! SHOW YOUR WORK TOO PLEASE I BEG OF U
help me with this pls
Address the root of both issues radius is 3 √ 6 v π ^2 / 2 π.
How to find radius?r is radius and v is volume.
Write the equation as follows:
4/3 ⋅ ( π r 3 ) = v . 4 /3 ⋅ ( π r 3 ) = v
Divide the two sides of the equation by 1 4 3.
1 / 4 . 3 π ( 4 / 3 ⋅ ( π r 3 ) ) = 1 /4 . 3π v
Simplify the issue from both perspectives.
For more steps, tap.
r 3 = 3 v 4 \sπ
To get rid of the exponent on the left side, take the required root from both sides of the equation.
To get rid of the exponent on the left side, take the required root from both sides of the equation. = 3 √ 3 v /4 π
3 3 v 4 should be made simpler.
For more steps, tap.
r = 3 √ 6 v π ^2 / 2π.
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The milky way galaxy is 1000 light years thick. find how thick the galaxy is in meters and astronomical units
Answer:
The Milky Way is about 1,000,000,000,000,000,000 km
Step-by-step explanation:
about 100,000 light years or about 30 kpc) across.
-2X + y = 9
y = -3.
help PLEASE
Answer:
To find the value of x, we can substitute the value of y in the equation:
-2X + (-3) = 9
We can then solve for X by isolating it on one side of the equation:
-2X = 12
X = -6
So, the value of X is -6.
Step-by-step explanation:
Trigonometry (Law of Sines)
The measures, using the Law of Sines, are given as follows:
m < B = 119º. BC = 20.13.AC = 41.62.What is the law of sines?The law of sines states that the ratio between the sine of each angle and the side length opposite to this angle has to be equal for all the angles in the problem.
The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle B is given as follows:
m < B + 25 + 36 = 180
m < B = 180 - (25 + 36)
m < B = 119º.
Then the length BC is obtained as follows:
sin(25º)/BC = sin(36º)/28
BC = 28 x sin(25º)/sin(36º)
BC = 20.13.
The length AC is obtained as follows:
sin(119º)/AC = sin(36º)/28
AC = 28 x sin(119º)/sin(36º)
AC = 41.62.
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how do you find the factors of 3 1/2 using a table (proportionality unit rate)
For example:
Numerator Denominator3 1/21 3/2-3 -1/2-1 -3/2We can observe that the factors of 3 1/2 are 3, 1, -3, and -1, with the corresponding fractional factors being 1/2, 3/2, -1/2, and -3/2 respectively. These values can be verified by multiplying the numerator and denominator of each factor and ensuring that the product is equal to 3 1/2.
Find the sum of the first 5 terms of a G.P whose first term is 3 and its common ration ¼ to four Significant figure.
Answer:85
Step-by-step explanation:
Are these two lines parallel?
Answer:
yes parallel is when two lines directly line up together like this ----
----
At a college, the ratio of teachers to students is 1 to 11. The ratio of female students to the total number of students is 4 to 9. If there are 264 female students, then how many teachers are there
Answer:
We know that the ratio of female students to the total number of students is 4 to 9.
That means that for every 4 female students, there are 9 students in total.
So, we can set up the proportion:
4/9 = x/264
where x is the total number of students.
Solving for x, we get:
x = (4/9)*264 = 96
Since the ratio of teachers to students is 1 to 11, then for every 11 students there is 1 teacher, we can set up the proportion:
1/11 = y/96
where y is the total number of teachers.
Solving for y, we get:
y = (1/11)*96 = 8.72 ≈ 8
So, there are 8 teachers in the college.
Step-by-step explanation:
Determine the samples if we select 5 samples from the frame which randomly starts at student number 8.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
If you select 5 samples starting from student number 8, the possible samples are student 8, 16, 24, 32, and 40.
What is a sample?A sample can be defined as small group taken from a population that can be used to study the whole population, and therefore to determine patterns, behaviors, preferences, etc. in the population.
Due to this, samples simplify the research process and make it feasible as in most cases the whole popualtion cannot be studied.
How to select a sample?Although there are many methods for selecting a sample, one of the methods that is more commonly used is the random sampling in which participants are given a number and then the sample is chosen by using this numbers either by selecting the numbers randomly or as in this case by following a sequence.
Based on this principle, the possible samples are student 8, 16, 24, 32, and 40, if we start with student 8 and use this sequence.
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Is the point (-1, 6) on the lines below? y = 5x + 3 y = 2x + 4
The point (-1, 6) is on the lines y = 5x + 3 and y = 2x + 4
How to determine if the points is on the lineFrom the question, we have the following parameters that can be used in our computation:
Point = (-1, 6)
Also, we have
y = 5x + 3
y = 2x + 4
Substitute the known values in the above equation, so, we have the following representation
6 = 5(-1) + 3 = -2 -- false
6 = 2(-1) + 4 = 2 --- false
Hence, the point is not one the line
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give me a sum using all bodmas operations that equals 6
The BODMAS acronym is for:
Brackets (parts of a calculation inside brackets always come first).Orders (numbers involving powers or square roots).Division.Multiplication.Addition.Subtraction.Addition and Subtraction
The final step is to calculate any addition or subtraction. Again, subtraction and addition rank equally, and you simply work from left to right.
Example:
⇒4 + 6 − 7 + 3 = ?
You start on the left and work your way across.
⇒4 + 6 = 10
⇒10 − 7 = 3
⇒3 + 3 = 6
The answer is 6.
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50 POINTER!! A group of students went to a fast food resturant.
2/5 of them bought a beef burger and 1/3 of them bought a chicken burger. The rest of them just bought drinks. a).What fraction of the group just bought drinks?
b). 3/4 of those who bought a beef burger also bought chips. What fraction of the whole group bought a beef burger and chips?
Answer:
Step-by-step explanation:
Firstly, lets just add the fractions we got.
2/5 + 1/3 = 6/15 + 5/15 = 11/15
So, 11/15 of the total students bought stuff other than drinks.
Number of people who bought drinks will be the people left
So, 1 - 11/15, or 4/15
a) 4/15
b) Fraction of people who bought beef burger is 2/5.
2/5 x 3/4 = 3/10
So the fraction is 3/10.
If the exchange rate is 1 U.S. dollar to 81 Japanese yen, how many yen would you spend to purchase something that costs 50 dollars?
Answer:
¥4050
Step-by-step explanation:
The exchange rate given is ¥81 to 1 US dollar.
1 US = ¥81.
You are trying to solve for the amount of yen it will cost if the equivalent is $50.
Multiply $50 US, with ¥81 (as it is the exchange rate):
$50 * (¥81/$1) = ¥4050
¥4050 is your answer.
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2 1/5 of the quotient of 5 5/11 and 2 2/5
Please help me!
Answer:
21 and 18.48 respectively
Step-by-step explanation:
to solve this question,first we need to identify the quotients by dividing the numbers and multiply each by 21/5
The quotient of the [tex]\frac{55}{11}[/tex]=5
[tex]\frac{21}{5}[/tex] of 5 = [tex]\frac{21}{5}[/tex]×5=21
The quotient of the [tex]\frac{22}{5}[/tex]=4.4
[tex]\frac{21}{5}[/tex] of 4.4 = [tex]\frac{21}{5}[/tex]×4.4=18.4
so, the answer is 21 and 4.4 respectively.
Zoe is designing an exhibit of her paintings and has at most 315 square feet of wall
space on which to display them. Her paintings take up 22 square feet each. She must
also have a sign from the gallery posted on her wall. The sign is 9 square feet. Which
inequality can be used to solve for how many x paintings can be displayed?
O22x +9 315
O22x +92 315
9x+22315
O22z+9 315
Answer:
The inequality that can be used to solve for how many x paintings can be displayed is 22x + 9 <= 315
Step-by-step explanation:
This inequality states that the total square footage of the paintings and the sign must be less than or equal to 315 square feet. Each painting takes up 22 square feet, and the sign takes up 9 square feet, so the total square footage is represented by the expression 22x + 9.
The inequality states that 22x + 9 <= 315 which means for any number of paintings she displays it should be less than or equal to 315 sq.ft.
The other options:
22x + 9 315: the inequality is less than instead of less than or equal to, which means that the total cost should be less than 315 sq.ft which is not always the case.
22x + 92 315: the coefficient of x is 22 instead of 22 and the 92 is placed in a wrong position.
9x+22 315: the coefficient of x is 9 instead of 22 and the 22 is placed in a wrong position.
22z + 9 315: the variable used is z instead of x
If sine of the quantity x plus y end quantity equals radical 2 over 2 times sine of x plus radical 2 over 2 times cosine of x comma what is the value of y?
pi over 2
pi over 3
pi over 4
pi over 6
Answer:
Step-by-step explanation:
The value of y is pi over 6. To solve for y, we use the fact that the sine of a sum is equal to the sum of the sines of each individual angle multiplied by the cosine of the other angle. This can be expressed mathematically as sin(x+y) = sin(x)cos(y) + cos(x)sin(y).
Substituting the given values into the equation, we have:
sin(x+y) = (√2/2)sin(x) + (√2/2)cos(x)
Rearranging, we can solve for y:
y = arcsin((√2/2)sin(x) + (√2/2)cos(x)) - x
Since x is equal to pi over 2, we can calculate y as follows:
y = arcsin((√2/2)sin(pi/2) + (√2/2)cos(pi/2)) - (pi/2)
= arcsin((√2/2)(1) + (√2/2)(0)) - (pi/2)
= arcsin(√2/2) - (pi/2)
= pi/6
Therefore, the value of y is pi over 6.
36. Find the value that would be in the 15th percentile for the following data set:
{6, 10, 7, 2, 9, 8, 7, 3, 5)
a. 7
b. 6
c. 2
d. 3
Answer:
Step-by-step explanation:
Answer: a. 7
Work Shown:
Given set = {6, 10, 7, 2, 9, 8, 7, 3, 5}
Sorted set = {2, 3, 5, 6, 7, 7, 8, 9, 10}
P = 15 = percentile value
n = 9 = sample size, i.e. number of values in the set
R = index rank
R = (P/100)*(n + 1)
R = (15/100)*(9+1)
R = 1.5
This rounds to R = 2 when rounding to the nearest integer.
This R value tells us to look at the 2nd slot of the sorted data set. The value "3" is in the 2nd slot.
This is why the answer is choice D
Mr.Lee can paint 20 chairs in t hours. He uses 3 liters of paint for every 12 chairs that he painted.
Answer:
Assuming the question is how many l of paint he needs the answer would be 5L
Step-by-step explanation:
1L- 4 chairs
?L- 20 chairs
Therefore 5L- 20 chairs
The brightness of the star MIRA over time is given by the equation
y = 2 sin("x) + 6, where x represents time and y represents brightness. What is
the period and the midline of this function?
The period and the midline of this function is 8 and y = 6 respectively.
What is period and midline?The horizontal line that exactly straddles the maximum and minimum points of the graph is known as the midline.
The vertical separation between the midline and one of the extremum points is known as the amplitude. The time interval between two consecutive maximum points or two consecutive minimum points is known as the period (these distances must be equal).
A periodic function's midline is the horizontal line that lies halfway between its maximum and minimum output values. The distance between a periodic function's maximum (or minimum) output value and the midline is known as the amplitude of the function.
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Please helpppp I’m sooo confusedddddd
We can simplify the expression to get:
2³ + 3*(2) + 14/2 = 21
The correct option is E.
How to simplify the expression?Here we want to simplify the expression below:
2³ + 3*(2) + 14/2
The additions are the last thing we need to do, we can replace:
2³ = 8
3*(2) = 6
14/2 = 7
Replacing that in the expression we will get:
2³ + 3*(2) + 14/2 = 8 + 6 + 7
8 + 6 + 7 = 21
So the correct option is E.
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Victor bought a pencil for $1. He also bought some notebooks for $3 each. Victor did not spend more than $13 on pencils and notebooks. Write an inequality that can be used to find n, the number of notebooks that Victor could have bought.
Victor spent $1 on a pencil. Additionally, he spent $3 on some notebooks. Buying pencils and notebooks cost Victor no more than $13. 4 <= 13 equals the inequality.
How do you define inequality?[tex]$$1+3 \leq 13:\left[\begin{array}{cc}\text { Solution: } & \text { True } \\\text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$$[/tex]
Steps
[tex]$$1+3 \leq 13$$[/tex]
Simplify 1+3: 4
[tex]$4 \leq 13$[/tex]
The attribute of being unequal or uneven, such as social disparity, disparity of distribution or opportunity, or lack of evenness A key idea in social justice theories is inequality, which is the state of not being equal, particularly in terms of status, rights, and opportunities1. Due to the fact that it frequently has diverse meanings to different people, it can become confusing in public discourse. However, some differences are typical.
Related concepts include lifetime inequality (inequality in incomes over a person's lifetime), inequality of wealth (distribution of wealth across households or individuals at a particular point in time), and inequality of opportunity (impact on income of circumstances over which an individual has no control). According to experts, inequality hinders economic growth and promotes political dysfunction.
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Which of the following quadratics would have the roots of 1+ or 1- ^2.
The quadratic equation for the given roots is x²-2x-1=0. Therefore, option 4 is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The roots of the quadratic equation are 1±√2.
Here, x=1+√2 and x=1-√2
x-1-√2=0 and x-1+√2=0
Now, (x-1-√2)(x-1+√2)=0
= x(x-1+√2)-1(x-1+√2)-√2(x-1+√2)=0
= x²-x+√2x-x+1-√2-√2x+√2-2=0
= x²-2x-1=0
Therefore, option 4 is the correct answer.
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Forest managers plant trees in a triangular section of a state park. The managers
model the area on grid paper. Each grid square represents 1 km². What is the area
of the section that the forest managers plant with trees? Show your work.
10 Km² is the area of the triangular section that the forest managers plant with trees.
What is a sector or segment?A sector is the area between any two circle radii and any arcs that connect them. Segment: A line segment in geometry is a section of a line that has two clearly defined end points and includes every point on the line in between them.
Firstly count how many cells are there
First line = 6
Second line = 1
Last line = 3
So the area of the section that the forest managers plant with tree is
6 + 1 + 3 = 10 Km²
( count more than half a grid or not count )
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Please help due tonight
A monument is 315 feet tall.
Suppose a 12-foot-tall pole that
is near the monument casts a
5-foot shadow.
How long
is the
monuments
shadow?
Answer:
131.25 feet.
Step-by-step explanation:
We can use the concept of similar triangles to find the length of the monument's shadow.
Since the pole and the monument are casting the shadows, we can assume that the ratio of the height of the pole to the length of its shadow is equal to the ratio of the height of the monument to the length of its shadow.
12/5 = 315/x
Where x is the length of the monument's shadow.
We can cross-multiply and solve for x:
12x = 5315
x = 5*315/12
x = 131.25
So, the length of the monument's shadow is approximately 131.25 feet.
