The required part of a bag of popcorn will each student receive is 2/5.
What is Part of something?Use "part" when a part of the whole lacks significance on its own; use "a part" when a part of the whole has meaning when combined with other meaningful parts of the same total. For instance, this object is a part of my collection even if my leg is a part of my body.
According to question:We have,
4 bags of popcorn for the party and There are 10 students in the class.
Part of popcorn bag each student receive.
Part of popcorn = 4/10 = 2/5
Thus, 2/5 part of bag each student receive.
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So each student will receive 0.4 bags of popcorn or 4/10 which is 2/5 of a bag of popcorn.
What part of a bag of popcorn will each student receive?Each student will receive 0.4 bags of popcorn or 4/10 which is 2/5 of a bag of popcorn.There are 4 bags of popcorn and 10 students in the class. To find how much of a bag of popcorn each student will receive, you can divide the total number of bags of popcorn by the number of students.4 bags of popcorn / 10 students = 0.4 bags of popcorn per.So each student will receive 0.4 bags of popcorn or 4/10 which is 2/5 of a bag of popcorn.To learn more about probability refer:
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If point A (-4,5) is reflected over the line y=2 and then translated according to the rule open parentheses (x-1, y-4), what quadrant will point A be in?
The new point A(-5,1) will lie in quadrant 3.
what is the Cartesian coordinate system?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,
Given here: The point A(-4,5) is translated over y=2
Thus after the transformation( translation), the new points are
A(-4,5)→A(-4-1,5-4)=A(-5,1)
The point was translated horizontally by 1 to the left and then translated vertically by 4 units downwards.
Hence, The new point will lie in quadrant 3.
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I need help ASAP thanks if you do help!
Ty and Harrison are building signs for an upcoming craft fair. The relationship between x (the number of hours spent working) and y (the number of signs built) for each person is shown below.
Who is building signs at a faster rate?
Answer:
Harrison has the greater rate
If Ty can make 7 signs in 2 hours that means in 4 hours he could double that output to make 14 signs. Harrison, on the other hand, makes 15 signs every 4 hours.
Step-by-step explanation:
Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Where is the fifth information kiosk located?
Answer:
(7,12)
Step-by-step explanation:
We are add 1 to the x value each time and 3 to the y value
1st: (3,0)
2nd: (4,3)
3rd: (5,6)
4th: (6,9)
5th: (7,12)
Explain whether there is enough information given in each figure to prove that the triangles are congruent using SSS or SAS. Fill in the table.
The triangles in this problem are similar using the SSS theorem.
What are similar triangles?Similar triangles are triangles that share these following two features:
Congruent angle measures.Proportional side lengths.For this problem, we have that the two triangles share two common angle measures.
A triangle is composed by three angles, and the sum of their measures is of 180º, hence the third angle measure will be equal for both triangles.
As the angle measures are equal, the side lengths are going to be proportional, thus the triangles are similar by the SSS theorem.
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Netflix is raising its prices from $15. 99 a month to $17. 99 a month. Mr.
Leone is annoyed and will cancel if this is more than a 20% increase in
the price. Based on this information, will he cancel? Explain.
If Netflix is raising it's prices from $15.99 a month to $17.99 a month , then Mr. Leone will not cancel his subscription because the percent increase is 12.507% .
The old subscription price of the Netflix is = $15.99 ;
the new subscription price of Netflix is = $17.99 ;
the percent increase of Netflix can be calculated by using formula :
⇒ (new price - old price)/old price × 100 ;
substituting the values of Netflix prices ,
we get ;
⇒ (17.99 - 15.99)/15.99 × 100 ;
⇒ 2/15.99 × 100
⇒ 0.12507 × 100 ;
⇒ 12.507 % .
Therefore , the percent increase is less than 20% , so he will not cancel the Netflix Subscription .
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The amount a tree grows in one month is directly proportional to the amount of water it is given When the tree is given 23 gallons of water, it grows 4 cm that month. What is the constant of proportionality for this variation? Round your answer to the nearest thousandth
The constant of proportionality for this variation is 0.174cm/gallon .
Every relationship that always maintains the same ratio is referred to be proportionality. For instance, the average amount of apples per tree determines the proportionality between both the quantity of apples in a crop and the number of trees in the orchard.
Let the amount a tree grows in one month be - x
The amount of water given be - y
If the amount a tree grows in one month is directly proportional to the amount of water given, then
x ∝ y
x = ky
k is defined as the constant of proportionality
k = [tex]\frac{x}{y}[/tex]
Given
x = 4cm
y = 23 gallons
k = [tex]\frac{4}{23}[/tex]
k = 0.174cm/gallon
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15% of the contents of a 454 gram can of dog food is protein. How many grams of protein are in the can?
Answer:
68.1 grams
Step-by-step explanation:
454 × .15 = 68.1
Convert each equation from slope-form to standard form
The conversion of the equation from slope-form to standard form is 3x + y = 2.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line is generally modeled by using this linear equation:
y = mx + b
Where:
m represents the slope.b represents the y-intercept.x and y are the data points.In Mathematics, the standard form of a linear function is is generally modeled by this mathematical expression:
Ax + By = C
Where:
A, B, and C represents a number, numeral or numerical value.
Next, we would convert the given linear function in slope-intercept form to standard form as follows:
3x + y = 2.
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Find the slope of a line parallel to the line whose equation is 2x+4y=56, fully simplify your answer.
Answer:
Step-by-step explanation:
m= -1/2
Dean's savings account started with $100. After one year, it had $110. The
second year, it had $121. The third year it had $133.10.
Is a single linear model a reasonable option for this data? Yes or No?
The statement that answers the linear model possibility is NO
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Initial = 100
Year 1 = 110
year 2 = 121
year 3 = 133.10
The savings account balance is increasing at an inconsistently increasing rate, which is not linear.
The savings account starts with $100, and increases by $10 in the first year, by $11 in the second year, and by $12.10 in the third year.
This is an example of exponential growth, which cannot be modeled by a single linear equation.
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Find the minimum value of fsx, y, zd − x2 1 2y2 1 3z2 subject to the constraint x 1 2y 1 3z − 10. Show that f has no maximum value with this constraint
50/3 is the minimum function value.
∇f(x,y,z)=(2x,4y,6z)
∇g(x,y.z)=(1,2,3)
set up the system of equations:
2x=λ
4y=2λ
6z=3λ
x+2y+3z=10-----(1)
solve the first three equations for λ.
2x=λ
2y=λ
2z=λ
From these three equations, we conclude that
x=y=z.
Plug this into the constant equation.
x+2y+3z=10
x+2x+3x=10
6x=10
x=3/5
Therefore, there is one point of interest and it occurs at (5/3,5/3,5/3).
f (5/3,5/3,5/3)=50/3
This is the minimum function value. Notice that the function is unbounded above and therefore has no maximum.
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Simplify
3√x^5/
5√x^2
Answer:
3√x^5/=15√x
5√x^2=10√x
Step-by-step explanation:
multiply 5 by 3.
multiply 2 by 5.
A large district employs 3,461 teacher. If there are 28 students per teacher, how many students are there?
Answer:
If there are 3,461 teachers and 28 students per teacher, to find the total number of students, you can multiply the number of teachers by the number of students per teacher:
3,461 teachers * 28 students/teacher = 97,268 students
So there are 97,268 students in the district.
a personal trainer analyzes the progress of her clients. so she calculates the body mass index (bmi) for each. the bmis for all of her current clients are summarized in the histogram below. histogram with 5 bars of heights 1, 3, 5, 2, 1 and bar edges of 18.1, 20.7, 23.3, 25.9, 28.5, and 31.1. the horizontal axis is labeled bmi and the vertical axis is labeled clients. she would like to offer a discount to her clients that have a current bmi of at least 25.9 in order to encourage them to keep working with her. the discount is for $50 off of their next month's training. if she were to offer these, how much total money would she give in discounts next month?
The total number of clients with a BMI of 25.9 or higher is therefore equal to 1 * 2.6 + 3 * 2
The total amount of money she would need to give in discounts next month can be found by calculating the total number of clients with a BMI of 25.9 or higher. To calculate this, the frequencies of each BMI range need to be multiplied by the width of the corresponding bar. The total amount of money she would need to give in discounts is then equal to the total number of clients with a BMI of 25.9 or higher multiplied by $50.
Using the histogram, the number of clients in each BMI range are: 18.1-20.7 (1), 20.7-23.3 (3), 23.3-25.9 (5), 25.9-28.5 (2), 28.5-31.1 (1).
The width of each bar is: 18.1-20.7 (2.6), 20.7-23.3 (2.6), 23.3-25.9 (2.6), 25.9-28.5 (2.6), 28.5-31.1 (2.6).
The total number of clients with a BMI of 25.9 or higher is therefore equal to 1 * 2.6 + 3 * 2
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Solve these equations for x.
-(3x - 12) = 9x -4
Answer:
x= 4/3
Step-by-step explanation:
Think the negative sign outside the parentheses as -1. Then do distributive property to the numbers inside the parentheses.
-1 x 3x and -1 x -12
That equals to -3x + 12 so now your entire equation is -3x + 12 = 9x - 4. Now lets take away 9x from both sides like this,
9x - 9x and -3x - 9x.
That equation is now -12x + 12 = -4.
Now subtract 12 from both sides like this,
12 - 12 and -4 - 12.
And then you have -12x = -16.
Now you divide both numbers by -12 like this,
-12x/-12 which equals to just x and then do -16/-12 which would equal as 1.3333 and repeating but, it can be put as 4/3 for a clearer answer.
So your answer is
x = 4/3
4 is 20% of what number
Answer:
20
Step-by-step explanation:
What is the measure of the missing angle?
46°
73°
for
The third angle of the triangle must have a measure of 180° minus the sum of the other two angles, which is 180° - (46° + 73°) = 61°. Therefore, the measure of the missing angle is 61°.
What are the angles of a triangle?The internal angles of a triangle are measured in degrees and are known as triangle angles. The sum of a triangle's angles is always 180°.
Triangle angles are classified into three types: acute angles, right angles, and obtuse angles.
An acute angle is one that is smaller than 90 degrees. This is the most common form of angle in a triangle and is regarded the most desirable.
A right angle is one that is exactly 90 degrees. This sort of angle is the most stable and sturdy in a triangle, therefore it is usually employed to make a triangle.
An obtuse angle is one that is larger than 90 degrees but less than 180 degrees. This form of angle is common in triangles, however it is less desirable than an acute angle.
The sum of the three angles of a triangle is always 180°. Acute angles are the most desirable and stable, whereas obtuse angles are present in certain triangles but are not as ideal.
In the given question,
The measure of the missing angle is 180° - (46° + 73°).
180° - (46° + 73°) = 180° - 119° = 61°
Therefore, the measure of the missing angle is 61°.
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If the perimeter of an equilateral triangle is 36 yards, what is the length of its altitude?
The length of the altitude is 10. 4 yards
How to determine the altitiude of the triangleThe formula for the perimeter of an equilateral triangle is expressed as;
P = 3a
Where;
P is the perimeter of the trianglea is the length of the side of the triangleSubstitute the values
36 = 3a
Divide the value by the coefficient of a
a = 36/3
a = 12 yards
Using the Pythagorean theorem, we get;
12² = h² + 6²
Find the square values
144 = h² + 36
collect like terms
h² = 108
Find the square root
h = 10. 4 yards
Hence, the value is 10. 4 yards
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Write 5y without exponents.
Answer:
Step-by-step explanation:
5y/5=y+y+y+y+y
marco made 124 free throws this season.ryan made132,if each free throw is worth 2 points,how many points did the boys score together?
Answer:
512 points altogether.
Step-by-step explanation:
This is a guess hope it helps :D
Answer:
512
Step-by-step explanation:
&:(::6)6/$/):&;!4):$:$:$:&):=512
a fair six-sided die is tossed 300 times. find the expected value of the sample mean of the values obtained in these 300 tosses (write it up to first decimal place).
The expected value of the sample mean of the values obtained in these 300 tosses is 3.5
300 fair throws of a six-sided die are made.
The expected value of the sample mean of the results acquired from these 300 tosses must be determined.
Six sides make up a dice:
Every side of a fair dice has an equal chance of happening.
Now, each side's likelihood of being present is 1/6.
Now, the sample mean of the values collected in these 300 tosses is predicted to be equal to:
E(x) = Σx P(x =x)
= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6
= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
= 1/6 (1+2+3+4+5+6)
= 1/6 (21)
= 21/6
E(x) = 3.5
Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5
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9. Joseph is teaching a PE class today and he has a bag of balls for the students to play with.
The bag has 5 timers as many basketballs as soccer balls in the bag. If there is a total of 63 balls
in the bag, how many basketballs and soccer balls are there?
The number of basketballs and soccer balls that there are in the bag are;
Soccer balls = 10
Basketballs = 53
How to solve Algebra Word Problems?We are told that Joseph has a bag of balls for the students to play with. The bag has 5 times as many basketballs as soccer balls in the bag.
Let basketballs be b
Let soccer balls be s.
Thus;
b = 5s
Total number of balls is 63 balls. Thus;
5s + s = 63
6s = 63
s = 63/6
s = 10.5
b = 5(10.5)
b = 52.5
We can estimate an approximate value of s = 10 and b = 53
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Brianna has a points card for a movie theater.
She receives 55 rewards points just for signing up.
She earns 14. 5 points for each visit to the movie theater.
She needs at least 235 points for a free movie ticket.
Which inequality can be used to determine v, the minimum number of visits Brianna needs to earn her first free movie ticket?
The inequality 14.5v ≥ 235 can be used to determine the minimum number of visits Brianna needs to earn her first free movie ticket.
The inequality 14.5v ≥ 235 can be used to determine the minimum number of visits Brianna needs to earn her first free movie ticket.14.5v ≥ 235
To figure out how many visits Brianna needs to earn her first free movie ticket, we can set up an inequality. We'll set the left side of the equation equal to the total points needed for a free movie ticket (235 points). We'll set the right side of the equation equal to the points earned per visit (14.5 points) multiplied by the number of visits (v).
14.5v ≥ 235
The inequality 14.5v ≥ 235 can be used to determine the minimum number of visits Brianna needs to earn her first free movie ticket.
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What is the Value of X
3x=17x
Answer:
14X
Step-by-step explanation:
How might I rewrite 125% of 440 is B as a simpler equation?
Answer:1.25(400)
Step-by-step explanation:
Three lots with parallel side boundaries extend from the avenue to the boulevard find to the nearest tenth of a meter the fronteages of the lots
Three lots with parallel side boundaries extend from the avenue to the boulevard.
x + y + z = 140 meters
According to the proportion theorem,
Solving for x, using cross multiplication:
Similarly,
x/40 = z/35
solving for z by cross multiplication,
z = 35x/40
z = 7x/8
Now, the third proportions,
y/30 = z/35
Solving for y,
y = 30z/35
y = 6z/7
x + y + z = 140
4y/3 + 6z/7 + 7x/8 = 140
(224y + 144z + 147x)/168 = 140
224y + 144z + 147x = 23520
Substituting z = 7x/8,
224y + (144 × 7x/8) + 147x = 23520
224y + 126x + 147x = 23520
224y + 273x = 23520
Now,
Substitute y = 3x/4
(224×3x/4) + 273x = 23520
168x + 273x = 23520
441x = 23520
x = 53.33
Now,
We know that
y = 3x/4
so,
y = 40
And,
z = 7x/8
Z = 46.66
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If a figure is a quadrilateral, then it has four sides.
A triangle does not have four sides.
A closed quadrilateral is a kind of polygon having 4 sides, 4 vertices, and 4 angles. A triangle doesn't have four sides because if it did, it wouldn't be a triangle. It would be a quadrilateral, the term used to describe geometric objects with four sides.
Three line segments combine to form a triangle, which is a straightforward closed curve or polygon. In Euclidean geometry, any three points, notably non-collinear ones, independently create a singular triangle and a singular plane.
In Euclidean geometry, any three points, notably non-collinear ones, independently create a singular triangle and a singular plane. polygon with 4 sides that is a quadrilateral.
One fascinating feature of a quadrilateral is that its opposite parallel sides are possible. Four non-collinear points are joined to create it. Since a triangle would not have four sides
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what is the Inequality for this?
The inequality for the goal that Miles set for the number of steps to be taken each day is x > 10, 000.
How to write the inequality ?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Miles is to take over 10, 000 steps every day which means that if the number of steps is denoted as x, the inequality would be:
x > 10, 000
This shows that the steps are greater than 10, 000 steps.
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So I’ve answered everything but perimeter can someone please figure that out for me?
The area of rectangle WXYZ is 115. 5 in. ² what is the perimeter of triangle XYZ

The perimeter of triangle XYZ is 38.95 inches
Consider the following figure.
The area of rectangle WXYZ is 115. 5 in.²
From given figure we can observe that PQ = 4 in.
So, XW = YZ = 2 × PQ
XW = YZ = 2 × 4
XW = YZ = 8 inches
This means, the width of rectangle WXYZ is 8 inches
We know that the area of the reactngle is given by the formula,
A = length × width
here, A = 115.5 in.² and width = 8 in.
115.5 = length × 8
length = 115.5 / 8
length = 14.44 in.
So, XY = WZ = 14.44 in.
For right triangle XYZ using Pythagoras theorem,
XZ² = XY² + YZ²
XZ² = 14.44² + 8²
XZ² = XY² + YZ²
XZ² = 272.51
XZ = 16.51 in.
So, the perimeter of triangle XYZ would be,
P = XY + YZ + XZ
P = 14.44 + 8 + 16.51
P = 38.95 inches
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In ΔSTU, t = 390 cm, s = 900 cm and ∠S=48°. Find all possible values of ∠T, to the nearest degree
The values of ∠T is 18.78 degree.
In ΔSTU ,
We have:
T = 390 cm,
S = 900 cm
and ∠S=48°.
Using the sine rule which works law of sin with the formula:
[tex]\frac{SinT}{T} = \frac{SinS}{S}[/tex]
Plug all the values in above formula:
sinT/ 390 = sin48°/900
sin T = 0.743 × 390 / 900
sin T = 0.3220
T = [tex]sin^-^1[/tex](0.3220)
T = 18.78 degree.
Hence, The values of ∠T is 18.78 degree.
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