In a class 40% of the students are girls and the rest are boys. If all the girls attended school but 40% of the boys stayed away what percent of the class was present in class. NEED HELP NOW PLEASE
Answers
Answer:
60 percent
Step-by-step explanation
Because 40 percent of girls will be there. The remaining 60 percent is boys,40 percent won’t come so 60 minus 40 is 20 percent and 40 plus 20 is 60 percent
In a class 40% of the students are girls and the rest are boys. If all the girls attended school but 40% of the boys stayed away what percent of the class was present in class.
Step by step explaination:(There are two methods to do this sum)
First method:-Since we have already been told that there are 40% girls, that means there are 60% boys (100–40).
The answer therefore will be 60% of 40, which is (60/100) × 40 = 24 boys.
Second method:-
The only difference is that we find out how many girls. Once we have the numbers of girls, we can then subtract the girls from the total number of students to get the number of boys.
Numbet of girls = (40/100)×40 = 16 girls
40–16 = 24 boys
Related Questions
4. Consider polynomials p(t) in Pr. One basis is standard B = {1, t, t², ..., t"}. Another basis can be formed from Lagrange polynomials. Given a set of n + 1 distinct points in R, {to, t1, ..., tn}, Lagrange polynomial basis L = {lo(t), 12(t),..., ln(t)} is the set of polynomials with the following properties: liſti)=1 for all i = 0, 1,..., n and liſt;)=0 for all i, j = 0, 1,..., n, i + j.
Answers
The Lagrange polynomial basis L = {l0(t), l1(t),..., ln(t)} is a set of polynomials with specific properties: li(t_i) = 1 for all i = 0, 1,..., n, and li(t_j) = 0 for all i, j = 0, 1,..., n, where i ≠ j. This basis allows you to represent any polynomial p(t) in Pr by a linear combination of the Lagrange polynomials in the basis L.
Polynomials are mathematical expressions consisting of variables and coefficients, often used in algebra and calculus. In this context, we are considering polynomials of degree n or less, denoted by Pr.
Lagrange polynomials are a type of polynomial that form a basis for Pr. This means that any polynomial in Pr can be expressed as a linear combination of the Lagrange polynomials. The Lagrange polynomial basis is formed from a set of n + 1 distinct points in R, denoted {to, t1, ..., tn}.
Each Lagrange polynomial, denoted li(t), has the following properties:
- li(ti) = 1 for all i = 0, 1,..., n
- li(tj) = 0 for all i, j = 0, 1,..., n, i + j.
In other words, each Lagrange polynomial is equal to 1 at its corresponding point ti, and is equal to 0 at all other points. These properties ensure that the Lagrange polynomials are linearly independent and form a basis for Pr.
Hope this helps! Let me know if you have any further questions.
Hi! I'd be happy to help you with your question. Polynomials are mathematical expressions involving a sum of powers in one or more variables multiplied by coefficients. The Lagrange polynomial is a specific type of polynomial that provides a way to interpolate a polynomial function using a set of n + 1 distinct points in R, {t0, t1, ..., tn}.
The Lagrange polynomial basis L = {l0(t), l1(t),..., ln(t)} is a set of polynomials with specific properties: li(t_i) = 1 for all i = 0, 1,..., n, and li(t_j) = 0 for all i, j = 0, 1,..., n, where i ≠ j. This basis allows you to represent any polynomial p(t) in Pr by a linear combination of the Lagrange polynomials in the basis L.
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Need help with this triangle measure please.
I also need explanation. Thank you-----
Answers
Find a polynomial function of degree 3 with the given numbers as zeros. Assume that the leading coefficient is 1.
Answers
Given the following zeros:
-1, 4, 8
Let's determine the polynomial function.
We get,
zeros: -1, 4, 8
It will become,
\(\text{ \lparen x + 1\rparen\lparen x - 4\rparen\lparen x - 8\rparen}\)We get,
\(\text{ \lparen x + 1\rparen\lparen x - 4\rparen\lparen x - 8\rparen}\)\(\text{ \lparen x}^2\text{ - 4x + x - 4\rparen\lparen x - 8\rparen}\)\(\text{ \lparen x}^2\text{ - 3x - 4\rparen\lparen x - 8\rparen}\)\(\text{ x}^3\text{ - 8x}^2\text{ - 3x}^2\text{ + 24x - 4x + 32}\)\(\text{ x}^3\text{ - 11x}^2\text{ + 20x + 32}\)Therefore, the answer is: x³ - 11x² + 20x + 32
Solve 48x + 2,302x – 17 = 47(50% +88). Select the correct choice below and, if necessary, fill in theanswer box to complete your choice.
Answers
Hence, the equation has no solution. The correct option is option C.
What is the answer to this
Answers
Answer:
9.42478
Step-by-step explanation:
Answer:
9.42 cm^3
Step-by-step explanation:
Ali drove 567 miles in 9 hours. at the same rate, how long would it take him to drive 441 miles?
Answers
Answer:
7 hours
Step-by-step explanation:
Ali drove 567 miles in 9 hours.
So he drove 567÷9 = 63 miles per hour.
To find how long it would take him to drive 441 miles, we need to divide it with 63:
441 ÷ 63 = 7 hours.
Help i don't know what to do I will give brainiest
Answers
Answer:
Her starting average was 66
it decreased by 7
her final average was 71
Step-by-step explanation:
i think
Answer:
a. 78
b. decreased by 7 points
c. 83 points
Step-by-step explanation:
Find the indicated measure. Assume that lines which appear to be diameters are diameters.
Answers
Answer:
The measure of the angle is 120 degrees
Step-by-step explanation:
Here, we want to find the measure of the angle
Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees
We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle
Thus, we have this as;
360 - (150 + 90)
= 360-240
= 120
In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.
Answers
Let the smallest angle in a triangle be = x
Largest angle in a triangle = 55 + x
The middle angle in a triangle = 3x ( triple the measure of the smallest angle )
Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )
This can be written as :
= x + 55 + × + 3x = 180
Let us find each angle by solving the equation .
= x + 55 + x + 3x = 180°
= x + x + 3x + 55 = 180°
= 5x + 55 = 180°
= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )
= 5x = 125
= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )
= x = 25
Using this let us find the measure of each angle .
Smallest angle = x = 25
Smallest angle = 25°
Middle angle = 3x = 3 × 25 = 75
Middle angle = 75°
The largest angle = x + 55 = 25 + 55 = 80
Largest angle = 80°
Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .
We have that the measures of the angles are as follows
\(\theta_1=80 \textdegree\)
\(\theta_2=75 \textdegree\)
\(\theta_3=25 \textdegree\)
From the question we are told that:
The measure of the middle angle is triple the measure of the smallest angle
The measure of the largest angle is 55° greater than the measure of the smallest angle
Let
\(\theta_1=Largest\ angle\)
\(\theta_2=Middle\ angle\)
\(\theta_3=Smallest\ angle\)
Therefore
\(\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3\)
Generally, the equation for the angle of a triangle is mathematically given by
\(\theta_1+\theta_2+\theta_3=180\)
Therefore
\(55 \textdegree+\theta_3+3*\theta_3+\theta_3=180\)
\(\theta_3=25 \textdegree\)
Therefore
Substitute \(\theta_3\) into equations of \(\theta_1\) and \(\theta_2\)
For \(\theta_1\)
\(\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree\)
For \(\theta_2\)
\(\theta_2=3*\theta_3\)
\(\theta_2=3*25 \textdegree\)
\(\theta_2=75 \textdegree\)
in conclusion
The measures of the angles are as follows
\(\theta_1=80 \textdegree\)
\(\theta_2=75 \textdegree\)
\(\theta_3=25 \textdegree\)
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ASAP I NEED THIS URGENTLY
A couple pays £1200 for a holiday in Portugal. Unfortunately, due to the pandemic the holiday
company cancels the holiday and gives the customers this option:
Rebook another holiday and get a 20% incentive*
We have a range of alternative holidays available for you to choose from and would love to take
you are away on holiday. Plus, if the holiday you book is more expensive than your original holiday,
you’ll automatically receive an incentive worth up to 20% of the value of the holiday*.
a. The customers find an alternative holiday in Greece costing £1800, for them both, before discounts.
Use a non-calculator method to show what the cost of this holiday will be once the discount mentioned above has been applied.
b. Using online discount code SUMMER gives a further £100 off the cost of the holiday, so
what is the final total holiday price?
c. Given that the customers had already paid the holiday company £1200 for the holiday in
Portugal, and are paying an equal share towards this holiday, how much extra will it cost
them each?
Answers
Without more information on the cost of the new holiday, it is impossible to determine how much extra it will cost the customers each.
What is percentage ?
Percentage can be defined as the product of ratio of given value, total value and hundred.
Given ,
A couple pays £1200 for a holiday in Portugal. Unfortunately, due to the pandemic the holiday company cancels the holiday
If the customers choose to rebook a holiday that is more expensive than the original holiday in Portugal, and the holiday company is offering an incentive worth up to 20% of the value of the holiday, the customers will have to pay the difference between the original holiday and the new holiday, minus the 20% incentive.
Therefore, Without more information on the cost of the new holiday, it is impossible to determine how much extra it will cost the customers each.
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What is the result of factoring out the GCF from the expression ( 24 + 36 ) ?
Answers
Answer:
6 is the GCF / 6(4+6)
Step-by-step explanation:
You should know your multiples up to 10, so then do some mental math and think about what number could go in each example:
Try 2: 2,4,6,8,10,12,14,16,18,20,24... except at the end we know there is most likely a greater GCF because two even numbers still remain in the parentheses.
This should be pretty fast since you should realize that three wouldnt work and same with five.
Until you see six
6,12,18,24,30,36
Express (x + 1)2 as a trinomial in standard form.
Answers
Answer: 2x+2
Step-by-step explanation:expand
What is 20% of 120 ??? HELP ME
Answers
Answer:
24
Step-by-step explanation:
Answer:24
Step-by-step explanation:
yes
Geometry- remember what we know about verticale angles and solve for X. Then tell me the measure of angle A.
Answers
Answer:
m<A = 32°
Step-by-step explanation:
When angles are vertical, it means they are equal to each other:
m<A = m<C
4x - 8 = 2x + 12
4x - 2x = 12 + 8
2x = 20
x = 20/2
x = 10
Solve for A:
4x - 8
4(10) - 8
40 - 8
32
Sam bought a jacket for $34, which is one-third of the original price. How much did thejacket cost originally?
Answers
Let the original cost of the jacket be x.
Now, saying that one-third of the original cost of the jacket is $34, is mathematically equivalent to:
\(\frac{1}{3}\times x=34\)Now we have to solve the resulting equation in order to obtain the value of x
This is done as follows:
\(\frac{1}{3}\times x=34\)\(\Rightarrow\frac{x}{3}=34\)\(\Rightarrow x=3\times34\)\(x=102\)Therefore, the original cost of the jacket is $102
Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes
Maisie wants to make a rectangular lawn 10 m by 14m.
She has 5 boxes of grass seed.
(a) Has Maisie got enough grass seed to make a lawn 10 m by 14m!
You must show all
your working
(4)
Answers
Total Seeds required 9.33 kg and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.
If you're fortunate enough to have a rectangular lawn, determining the size is straightforward. Multiply the length and breadth measurements together to get the total. You now have your region/area.
So, Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes,
Maisie wants to make a rectangular lawn 10 m by 14 m,
She has 5 boxes of grass seed
To Find, Has Maisie got enough grass seed to make a lawn 10m by 14 m
Solution:
3 kg of grass seed to make a rectangular lawn 5 m by 9m.
=> 3 kg of grass seed needed for 5 x 9 = 45 m²
=> 1 m² required = 3/45 kg seed
a rectangular lawn 10 m by 14 m,
area = 10 x 14 = 140 m²
Hence 140 m² required = 140 x 3/45 = 9.33 kg
Grass seed is sold in 2 kg boxes,
She has 5 boxes of grass seed
Hence total seeds = 5 x 2 = 10 kg
Therefore, total seeds required 9.33 kg and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.
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The local fighter fighters collect toys to distribute a various give-away events they have 4569 toys and will sponsor 129 giveaway events. how many toys can they each give away at each event? how many toys if any, will be left over?
Answers
help!! math algebra 1
Answers
Answer:
-ab/1
Step-by-step explanation:
The multiplicative inverse of x/y is y/x, because when multiplied it equals 1.
x/y time y/x = xy/xy, which equals one.
In this case, -1/ab times -ab/1 = -1ab/-1ab, which equals one.
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
Answers
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
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Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
problem 1 (100 points) fig. 1 depicts a sample power system. suppose the three units are always running, with the following characteristics: unit 1: pmin
Answers
The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.
In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.
Unit 1:
Pmin = 200 MW
Pmax = 500 MW
Ci = $50/MWh
Unit 2:
Pmin = 150 MW
Pmax = 400 MW
Ci = $40/MWh
Unit 3:
Pmin = 100 MW
Pmax = 300 MW
Ci = $30/MWh
To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.
Suppose the load demand is D MW. We allocate the load demand to the units as follows:
Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:
Cost1 = Ci * P1, where P1 is the power output of Unit 1.
Step 2: If there is still remaining load demand, allocate it to Unit 2:
Cost2 = Ci * P2, where P2 is the power output of Unit 2.
Step 3: If there is still remaining load demand, allocate it to Unit 3:
Cost3 = Ci * P3, where P3 is the power output of Unit 3.
Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:
Cost_total = Cost1 + Cost2 + Cost3
To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.
In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.
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oil enters a tank at the rate of et() gallons per hour, and at the same time oil leaves the tank at the rate of lt() gallons per hour, where t is measured in hours past midnight. at midnight, there are 2000 gallons of oil in the tank. using each component of o, explain what the function
Answers
The function representing the amount of oil in the tank at any time t is given by:
h(t) = 2000 + ∫et() - lt() dt
This function h(t) represents the accumulation of oil in the tank over time. The integral term represents the net change in the amount of oil in the tank over time, taking into account both the rate at which oil enters the tank and the rate at which it leaves.
The initial value of h(0) = 2000 represents the starting amount of oil in the tank at midnight. By finding the definite integral of et() - lt() over a given time interval, we can determine the net change in oil volume during that time and thus find the amount of oil in the tank at any given time t.
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Reagan sold 14 necklaces and made a total of $210. If each necklace costs the same amount, how much did one necklace cost?
Answers
Answer:
$15
Step-by-step explanation:
Answer
Use division, how many times will 14 go into 210?
210÷14=15
$15
Or you can also multiply 15x14=210
Errol collected some figures that he calls sukies. Which figure is a sukie?
Answers
Its non of the above. Though I did have a question like that, if there is a choice below the square, that has the following properties, that must be the answer:
7 sides
1 right angel
______________________________________________________
But if you are talking about it being 1 of the 2, its non of the 2 that is in the picture. The option below square must be the answer if I am right according to what I had.
Hope it helps ! The things that I told you about the figure is the only way I can tell you. Sorry, but have a great day and good luck.
What is the price of a $400 telescope after a 32% markup?
Answers
Answer:
$528 Dollars
Step-by-step explanation:
The answer is 528 because 32% of 400 is 128 and 400 plus 128 is 528.
P.S Can I have brainliest?
Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get correct?
Give your answer in its simplest form
Answers
Answer:
48/64
Because 48 out of 64
Answer:
3/4 of the marks he got correct
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)
Answers
The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
What is value?Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.
This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).
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the question is in the image
Answers
For the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4) , the maximum value of the parabola is y = -4.
As given,
Graph of parabola shows it open down parabola.
Vertex is the highest point on the graph of parabola.
it is known as the maximum value.
Let (h, k) be the vertex of the given parabola.
From the graph value of the vertex is equal to :
(h ,k)=(1, -4)
h represents the x-coordinate.
k represents the y-coordinate.
y-coordinate represents the maximum value of the parabola.
y =-4 is the maximum value.
Therefore, for the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4) , the maximum value of the parabola is y = -4.
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what are the factors of the expression ab - a -b + 1
Answers
Here, 1 is only the factor because there is no other numeral in the equation.
\(ab - a - b + 1\)
The price at Yogurt World is $2.56 for 8 ounces. How much-frozen yogurt could you get for $3.52? ____Ounces
Answers
Answer: 11
Step-by-step explanation: (8/2.56) x 3.52 = 11 ounces
if anyone knows this helppp!!!111
Answers
Answer:
Step-by-step explanation:
let x be the unknown the number
x
x/4
x/4-3
hope this helps
Answer:
x/4 - 3
Step-by-step explanation:
The question tells us to use x for unknowns. Let's do that:
x
then we divide by 4:
x/4
and finally subtract 3:
x/4 - 3
That's it!
I hope this helps :)