In response to the given problem, we can state that the fraction sum is a rational fraction. The numerators of true fractions are smaller than the denominators.
What is fraction?To represent a whole, any number of equal parts or fractions can be utilized. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of an entire. In mathematics, numbers are stated as a ratio of the numerator to the denominator.
They can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator.
A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolize half of a full number or object.
And
[tex]-11/4 + 5/9[/tex]
[tex]-99+20 / 36 = -79/36[/tex]
Therefore, By fraction, sum is fraction as rational.
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for the histogram on the right determine whether the mean is greater​ than, less​ than, or approximately equal to the median. justify your answer.
The median exceeds the mean by more. The histogram is skewed to the right, which shows that lower values are dragging down the mean.
The median of the histogram on the right is higher than the mean. This is evident from the histogram's form, which is tilted to the right. This shows that the lower values tend to drag the mean down. The median is greater than the mean. The right-handed skewness of the histogram indicates that the mean is being pulled down by lesser values and However, because it is the centre number and is only impacted by the higher and lower values equally, the median is unaffected by the lower values. Because of this, the mean in this histogram is less than the median.
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Jemma filled one-fourth of a barrel with compost on Saturday. Then she filled the remaining space with 4,200 g4,200 g4, comma, 200, start text, space, g, end text of compost on Sunday.
How many kilograms of compost are in the barrel?
.....kilograms?
The kilograms of compost in the barrel is 5.6 kg
How to determine the kilograms of compost in the barrel?From the question, we have the following parameters that can be used in our computation:
Amount filled on day 1 = 1/4
Remaining space = 4200 grams
The number of kilograms in the barrel is calculated as
Remaining space = (1 - 1/4) * Original space
Substitute the known values in the above equation, so, we have the following representation
(1 - 1/4) * Original space = 4200 grams
Convert to kg
(1 - 1/4) * Original space = 4.2 kg
So, we have
Original space = 4.2 kg/(1 - 1/4)
Evaluate
Original space = 5.6 kg
Hence, the original space is 5.6 kg
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can someone help pls
Answer:
55
Step-by-step explanation:
Since 1 rectangle is 10 and there are 5, that means the whole length is 50.
Which means with can set the equation equal to 50
[tex]x - 5 = 50[/tex]
Adding 5 gets us
[tex]x = 55[/tex]
“Log 2x = -1 Solve each equation. Check Answers”
Please help me logs are confusing
What is the sum of 3 of the interior angles of a regular pentagon?
540° is your answer!
The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For a month in which the executive's cellular phone bill was $104.20, how many minutes did the executive use the phone?
Answer:1073
Step-by-step explanation: 104.2-35+69.2
69.2/.4=173
900+173+1073
Answer:
The exec used the phone for 1073 minutes
We just cancel out and isolate for x, then add the 900 minutes
a starting lineup in basketball consists of two guards, two forwards, and a center. (a) a certain college team has on its roster five guards, four forwards, and three centers. how many different starting lineups can be created?
There are 180 different starting lineups that can be created for the college team.To find the number of different starting lineups that can be created for the college team, we need to use the combination formula.
The number of ways to choose k items from a set of n distinct items is given by the formula:
nCk = n! / (k! * (n-k)!)
where "!" denotes the factorial function, which means the product of all positive integers up to that number.
In this case, we want to choose 2 guards out of 5, 2 forwards out of 4, and 1 center out of 3. So the total number of different starting lineups that can be created is:
(5C2) * (4C2) * (3C1)
= (5! / (2! * 3!)) * (4! / (2! * 2!)) * (3! / (1! * 2!))
= (10) * (6) * (3)
= 180
Therefore, there are 180 different starting lineups that can be created for the college team.
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What is the standard deviation of the data set {2,1,1,2,2,3}?
You may use the desmos calculator to assist you.
Enter your answer as a number, rounded to the nearest tenth
The standard deviation of the data set is 0.7.
How to calculate standard deviation?First, calculate the mean of the data set:
(mean) = (2+1+1+2+2+3)/6 = 11/6 ≈ 1.8
Next, calculate the deviation of each data point from the mean:
2 - 1.8 = 0.2
1 - 1.8 = -0.8
1 - 1.8 = -0.8
2 - 1.8 = 0.2
2 - 1.8 = 0.2
3 - 1.8 = 1.2
Now square each deviation:
0.2² = 0.04
(-0.8)² = 0.64
(-0.8)² = 0.64
0.2² = 0.04
0.2² = 0.04
1.2² = 1.44
The sum of the squared deviations is:
0.04 + 0.64 + 0.64 + 0.04 + 0.04 + 1.44 = 2.84
To find the variance, we divide by the number of data points:
variance = 2.84/6 ≈ 0.4733
Finally, take the square root of the variance to get the standard deviation:
standard deviation = √(0.4733) ≈ 0.69
Therefore, the standard deviation of the data set {2,1,1,2,2,3} is approximately 0.7 (rounded to the nearest tenth).
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Find the sum of 2√5 and 3√7
Answer:
the sum of 2rude 5 is 4.47-(answer)and the sum of 3 rude 7 is 7.79-(answer).
Hi there, here's your answer:
Given the question [tex]2\sqrt{5} + 3\sqrt{7}[/tex]
Since these two roots have no common factors, we can either leave the expression as it is, or simplify using the values of the roots.
In which case, [tex]\sqrt{5} = 2.236[/tex] and [tex]\sqrt{7} = 2.645[/tex]
On simplifying, we get
[tex]2\sqrt{5}[/tex] = 2 × 2.236 = 4.472
And
[tex]3\sqrt{7}[/tex] = 3 × 2.645 = 7.935
Thus, the sum will be 4.472 + 7.935 = 12.407
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You make 3 quarts of tomato sauce from 2 baskets of tomatoes. How much tomato sauce can you make from 5 baskets of tomatoes?
7 1/2 quarts
3 1/3 quarts
4 quarts
6 quarts
5 baskets of tomatoes can make 7 1/2 quarts of tomato sauce.
What is cross-multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
Given that, we get 3 quarts of tomato sauce from 2 baskets of tomatoes.
Thus,
2 baskets = 3 quarts
5 baskets = x
Use the method of cross multiplication or butterfly method for multiplication.
x = (3)(5)/2
x = 15/2
x = 7 1/2
Hence, 5 baskets of tomatoes can make 7 1/2 quarts of tomato sauce.
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A person is measuring for new carpet in an auditorium. the angle of elevation from the front to back is 12 degrees and the last row is 15 feet higher than the front row. what is the straight line distance from the front seat to the back? round to the nearest tenth
The straight line distance from the front seat to the back is approximately 69.7 feet.
What is a straight line distance?Straight line distance refers to the shortest distance between two points in a straight line, as opposed to the distance that would be traveled along a curved path or following the contours of the terrain.
Let the distance from the front row to the back row be x.
Then, we can use the tangent function to find the height difference between the front and back rows:
tan(12°) = (height difference) / x
Solving for the height difference:
height difference = x * tan(12°)
The problem tells us that the height difference is 15 feet, so we can set up an equation:
15 = x * tan(12°)
Solving for x:
x = 15 / tan(12°) ≈ 69.7 feet
Therefore, the straight line distance from the front seat to the back is approximately 69.7 feet.
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Write a linear function for the data in the table.
X
y
0
8
1
4.5
2
1
3
-2.5
4
-6
En las elecciones del consejo estudiantil el 39% de los 80 votantes eligió a Petra ¿Cuántos votos óptico Petra ?
31 people chose Petra as leader in the student council elections.
What is percentage?Percentage is used to represent a fraction of 100.
Percent is represented by the sign "%".
Mathematically, we can write the percentage as -
A% of B
(A/100) x B
AB/100
Given is that in the student council elections, 39% of the 80 voters chose Petra.
We can find the total number people who chose Petra as leader as -
{x} = 39% of 80
{x} = (39/100) x 80
{x} = 31.2
{x} = 31
Therefore, 31 people chose Petra as leader in the student council elections.
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{Question in English -
In the student council elections, 39% of the 80 voters chose Petra. How many optical votes Petra?}
A tree that is 18 feet tall is growing at a rate of 2 feet each year. A different tree that is 20.5 feet tall is growing at a rate of
3/4
feet each year. At this rate, when will the trees be the same height? What will
the height of the trees be?
The trees will be the same height in 2 years and the height of these trees will be 22 ft.
Linear Expression
A linear expression can be represented by a line. The standard form for this equation is: y=mx+b , for example, y=x+10. Where:
m= the slope.
b= the constant term that represents the y-intercept
For the given example: m=1 and b=10.
For solving the question you should convert the given text into an algebraic expression.
Tree01= 18+2*y
Tree02= 20.5+0.75*y (Note that 3/4=0.75)
y= number of years
Therefore,
18+2*y=20.5+0.75*y
2y-0.75*y=20.5-18
1.25y=2,5
y=2
Thus, at 2 years the trees will be the same height.
When y=2, you have:
Tree01= 18+2*y= 18+2*2=18+4=22
Tree02= 20.5+0.75*y =20.5+1.5=22
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Asunta's Candle Store ordered 750 candles at a total wholesale cost of $8,660.34.
The soy candles cost $12.83 each and the specialty candles cost $10.72 each.
How many of each type of candle were ordered?
The soy candles cost $12.83 each and the specialty candles cost $10.72 each then the Asunta's Candle Store ordered 293 soy candles and 457 specialty candles.
What is system of linear equations?
Let's use the following variables:
Let x be the number of soy candlesLet y be the number of specialty candlesWe have two equations based on the information given in the problem:
x + y = 750 (the total number of candles ordered)12.83x + 10.72y = 8660.34 (the total wholesale cost of the candles)To solve for x and y, we can use a system of linear equations. One way to do this is to solve for one variable in one equation, and substitute that expression into the other equation. For example, we can solve for x in the first equation:
x + y = 750
x = 750 - y
Then we substitute this expression for x in the second equation:
12.83x + 10.72y = 8660.34
12.83(750 - y) + 10.72y = 8660.34
Simplifying and solving for y:
9622.5 - 2.11y = 8660.34
-2.11y = -962.16
y = 456.5
We can then substitute this value for y in the first equation to find x:
x + y = 750
x + 456.5 = 750
x = 293.5
Therefore, Asunta's Candle Store ordered 293 soy candles and 457 specialty candles.
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The diameter of a fountain is 9 meters. A sidewalk that is 0.7 meters will be built around it. Find the diameter
Round to the nearest tenth
An estimated Rs. 1863.40 will be needed to cement the route.
What is meant by Cost?A mathematical formula known as a cost function can be used to determine the overall cost of production for a given quantity of goods produced. We'll go into more detail about the cost function below. Representation of unit expenses in relation to the production of 1 or more units during a construction project. For instance, the most popular cost function has the formula y = a + bx, where y is the total cost, an is the total fixed cost, b is the variable cost per unit of production or sales, and x is the number of units produced or sold. This formula sums the fixed costs and the variable costs to represent the total cost.Diameter of park [tex]$=7 \mathrm{~m}$[/tex]
so, radius of park [tex]$=\mathrm{r}_1=3.5 \mathrm{~m}$[/tex]
Width of park [tex]$=0.7 \mathrm{~m}$[/tex]
Bigger radius of park [tex]$=\mathrm{r}_2=0.7+3.4=4.2 \mathrm{~m}$[/tex]
Now, Area of path = area of bigger circle -area of smaller circle
[tex]$=\pi r_2^2-\pi r_1^2=$ $\pi\left(r_2^2-\mathrm{r}_1^2\right)=\frac{22}{7}\left(4.2^2-3.5^2\right)=\frac{22}{7}(17.64-12.25)=16.94 \mathrm{~m}^2$[/tex]
Also, Cost of expenditure = rate [tex]$\times$[/tex] area [tex]$=110 \times 16.94=1863.40$[/tex]
Cost of Expenditure of cementing the path is Rs. 1863.40.
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Find the mZB.
A.
53.13°
B. 1°
C.
36.87°
D. Not enough information
The angle m∠B of the quadrilateral has a measure of 72°
How to evaluate for angle m∠B of the quadrilateralThe complete question is added as an attachment
For any quadrilateral, the sum of its four interior angles is equal to 360°,
Using the above as a guide, we have the following:
17x + 5 + 13x + 7 + 118° + 80° = 360°
Evaluate the like terms
So, we have
30x + 210° = 360°
Subtract 210° from both sides
30x = 150°
So, we have
x = 5
Given that
B = 13x + 7
We have
B = 13 * 5 + 7
Evaluate
B = 72
Therefore, the measure for the angle m∠B is 72°
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What is the area of a picture with side lengths that are 12 inches? Use the formula A=s2, where s is the length of one side
The area of the picture is 144 square inches.
What is Area?The area is a measurement of the extent of a two-dimensional surface or region. It is expressed in square units, such as square inches, square meters, or square feet. The area of a shape is the amount of space it occupies in a plane or on a flat surface. The calculation of area depends on the shape of the object. For example, the area of a circle is calculated by using the formula A = πr², where r is the radius of the circle.
The area of a square with side length s is given by the formula A = s². If the side length of the picture is 12 inches, then we can substitute s = 12 into the formula to get:
A = s² = 12² = 144
Therefore, the area of the picture is 144 square inches.
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8x^{2}-8x8x
2
−8x from -6x^{2}-10x+4−6x
2
−10x+4.
The value of the equation 8x² - 8x + 2 -( 6x² - 10x + 4) is 2x² + 2x - 2.
How to illustrate the equationIt should be noted that an equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that
two or more components are considered in order to be able to describe the scenario.
It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
The equation can be illustrated thus:
8x² - 8x + 2 -( 6x² - 10x + 4)
8x² - 8x + 2 - 6x² + 10x - 4
= 2x² + 2x - 2
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Here are 2 points in the plane.
B
Explain how to construct a line segment that is half the length
of segment AB .
O Construct a new point and create an angle bisector.
Create two circles centered at each point to the other and make a line through their intersections to
cut it in half.
O
Link them with a segment, make a new point on it and make a circle centered at A and B to the new
point.
To construct a line segment that is half the length of segment AB, follow the steps below.
What is the intersection points of the circle?
The intersections of two circles determine a line known as the radical line. If three circles mutually intersect in a single point, their point of intersection is the intersection of their pairwise radical lines, known as the radical center.
Draw a straight line passing through points A and B.
Bisect the line segment AB at point C.
Draw a circle centered at point C with a radius equal to AC or BC.
The intersection points of the circle and the line passing through A and B will be points D and E.
The line segment DE will be half the length of segment AB.
Therefore, To construct a line segment that is half the length of segment AB, follow the steps above.
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A parcel occupies the nw 1/4 of the se 1/4, and the s 1/2 of the sw 1/4 of the ne 1/4. How many acres is this parcel?
The parcel is 30 acres in size, calculated as 10 acres for the NW 1/4 of the SE 1/4 and 20 acres for the S 1/2 of the SW 1/4 of the NE 1/4.
To solve the problem, we need to know the size of the quarter sections that are being referred to. In the United States, a quarter section is 160 acres.
Using this information, we can break down the given parcel as follows:
NW 1/4 of the SE 1/4: This represents 1/16 of a section, or 10 acres (160 acres / 16 * 1 = 10).
S 1/2 of the SW 1/4 of the NE 1/4: This represents 1/8 of a section, or 20 acres (160 acres / 8 * 1/2 = 20).
To find the total size of the parcel, we simply add these two areas together:
(10 + 20 )acres = 30 acres
Therefore, the parcel is 30 acres in size.
In the United States, a section of land is a unit of area measurement used in land surveys, and it is equal to 640 acres. A quarter section is, therefore, one-fourth of a section, or 160 acres.
The given parcel is described as two parts. The first part is the northwest quarter of the southeast quarter, which is equivalent to one-sixteenth of a section or 10 acres (1/4 x 1/4 x 160 acres = 10 acres).
The second part is the south half of the southwest quarter of the northeast quarter, which is equivalent to one-eighth of a section or 20 acres (1/4 x 1/4 x 1/2 x 160 acres = 20 acres).
To find the total size of the parcel, we add the area of the two parts: 10 acres + 20 acres = 30 acres. Therefore, the parcel is 30 acres in size.
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Andre luke and shemai had 1400 marbles. If andre had 200 fewer than luke and twice as many as shemai. How many did luke receive
Luke received a total of 640 marbles from the total of 1400 marbles that Luke, Andre and Shema had combined.
Luke, Shemai and Andre combined has 1400 marbles. Andre has 200 fewer than Luke and twice as many as Shemia.
Now, let us say that Luke had X marbles then Andre will have X-200 marble and Shemai will have X/2 marbles.
Now, all the marbles combined will be equal to 1400, so, the simple algebraic relation will be,
X + X-200 +X/2 = 1400
X+X+X/2 = 1600
5X/ = 3200
X = 640
So, Luke will have a total of 640 marble while Andre and Shemai will have 440 and 320 marbles each.
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HELP ME PLEASE ASAP! I NEED TO PASS THIS CLASS BY MONDAY!
The length of the two sides of the given right triangle is 5√2
What is a right triangle?A triangle with an angle right angle is called a right triangle.
Given that, a right triangle, with an acute angle of 45° and the length of hypotenuse is 10 units,
We need to find the length of two sides u and v,
The sum of a triangle is 180°, and if one angle is 90° and the other is 45° therefore, the third is also 45°
Now, we know that, sides opposite to equal angles are equal,
Therefore, v = u,
Now, using the Pythagoras theorem,
10² = v²+u²
v² + v² = 100
2v² = 100
v² = 50
v = 5√2
u = 5√2
Hence, the length of the two sides of the given right triangle is 5√2
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how do you solve direct proportional with decimal numbers
To solve a direct proportion problem with decimal numbers, you can follow the same steps as with whole numbers.
What is direct proportion ?A direct proportion is a relationship between two variables where an increase in one variable results in a proportional increase in the other variable.
To solve a direct proportion problem with decimal numbers:
Write down the formula for direct proportion: y = kx.Identify the two variables in the problem and assign them to y and x.Calculate the constant of proportionality (k) by dividing y by x.Use the value of k to find the value of y for a given value of x, or use the value of y to find the value of x for a given value of y.Find out more on direct proportion at https://brainly.com/question/1266676
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What is the percent of change from 90 to 18?
* 80% increase
*80% decrease
*75% decrease
*75% increase
*25% increase
The percent of change is the change in value in percent from 90 to 18 that is an 80% decrease.
To calculate the percent change from 90 to 18, we first need to find the difference between the two values:
Change = Final Value - Initial Value
Change = 18 - 90
Change = -72
The negative sign indicates that there has been a decrease in value.
To find the percent change, we can use the following formula:
Percent Change = (Change / Initial Value) x 100%
Percent Change = (-72 / 90) x 100%
Percent Change = -80%
So there is decrease in percent from 90 to 18 that is by 80%.
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what is the HCF of the expressions 3(x-y)^2 and 12x^2(x^2+y^2+2xy)
By factorizing the polynomials, the HCF of the expressions 3(x-y)^2 and 12x^2(x^2+y^2+2xy) is 3.
HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).
To obtain the HCF of algebraic expression, take the common of all the prime factors of two polynomials.
We first factorize the given algebraic expressions:
3(x - y)^2 = 3 × (x - y) × (x - y)
12x^2(x^2+y^2+2xy) = 12x^2(x + y)^2
12x^2(x + y)^2 = 2 × 2 × 3 × x × x × (x + y) × (x + y)
so, the highest common factor between the both expressions is 3.
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here is a shape. find the total area of the shape
Answer:
Area A, is x times y
Step-by-step explanation:
To find the area you must multiply the light x width of a rectangle or square
um.... kauser is this u
factors other than the independent variable may also act on the dependent variable. if these factors vary systematically with the independent variable, they are called:
Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.
Factor which is other than the independent variable and might produce an effect in the given experiment.Manipulation of independent variable which has an effect on the expressions dependent variable.Other variables which has impact on changing the dependent variables are known as extraneous variable.Extraneous variables are also known as confounding variables.Confounding variables or extraneous variables these are the factors which does not manipulate and are part of the given experiment.Therefore, factors which vary systematically with the given independent variable is called confounds variables or extraneous variable.
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A particular prism has 10 faces. How many edges does it have
Answer:
24 edges, on the 10 faced prism
What is the correct equation for this word problem?
Please help me ASAP thank you!
Sophia brought some almonds from the store. She handed the cashier $15 and received $5 in change. Mr. Boone is buying an app for the class. The app costs a dollars per student and he has 32 students. He spends $96. How much is the app per student?
The cost per student for the app is $3, and can be found by dividing the total cost of $96 by the number of students, 32, which equals $3 per student.
Let x be the cost of the almonds Sophia bought and y be the cost of the app per student. Then, we have the subsequent two equations:
x + $5 = $15
32y = $96
To find the cost of the app per student, we can solve for y in the second equation:
y = $96 / 32 = $3
So the app costs $3 per student.
To find the cost of the app per student, we need to find the total cost of the app and then divide it by the number of students. Mr. Boone spent $96 on the app for 32 students, so the cost per student would be $96 / 32 = $3. This means that each student paid $3 for the app.
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