Answer:
Hay 140 alumnos en dicha aula.
Step-by-step explanation:
Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:
1/5 → 21
4/5 → x
x=(4/5*21)/1/5
x=(84/5)/(1/5)
x=84*5/5*1
x=420/5
x=84
Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:
84+21=105
Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:
3/4 → 105
1 → x
x=(1*105)/(3/4)
x=(105/1)/(3/4)
x=105*4/1*3
x=420/3
x=140
De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.
LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ is 16cm^2. Work out the area of triangle
Answer:
The area of LQM is [tex]48cm^2[/tex]
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * PN[/tex]
Substitute 8 for Area
[tex]8 = \frac{1}{2} * PQ * PN[/tex]
[tex]PQ * PN = 16[/tex]
The area of LPQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * LP[/tex]
Substitute 16 for Area
[tex]16= \frac{1}{2} * PQ * LP[/tex]
From the attachment:
[tex]PN + LP =LN[/tex]
Make LP the subject
[tex]LP = LN -PN[/tex]
So:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]
We have:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]
Equate both expressions:
[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]
Divide both sides by PQ
[tex]\frac{1}{2} (LN - PN) = PN[/tex]
Multiply both sides by 2
[tex]LN - PN = 2PN[/tex]
[tex]LN= 3PN[/tex]
Since PNQ is similar to LNM, the following equivalent ratios exist:
[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]
Substitute [tex]LN= 3PN[/tex]
[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]
[tex]\frac{LM}{PQ} = 3[/tex]
[tex]LM = 3PQ[/tex]
Area of LQM is:
[tex]Area = \frac{1}{2} * LM * LP[/tex]
This gives:
[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]
[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]
Recall that:
[tex]16= \frac{1}{2} * PQ * LP[/tex]
So:
[tex]Area = 3 *16[/tex]
[tex]Area = 48cm^2[/tex]
1) how many 1/4's are in 2/3?
2) how many 5/12's are in 1/2?
Answer:
1) how many 1/4's are in 2/3 = 8/3
2) how many 5/12's are in 1/2?=6/5
Step-by-step explanation:
A doctor took a random sample of n=6n=6n, equals, 6 patients to see how long they each spent in the waiting room. She wants to construct a ttt interval for the mean waiting time with 99\%99%99, percent confidence. The times in the sample were roughly symmetric with a mean of \bar x=8.5 x ˉ =8.5x, with, \bar, on top, equals, 8, point, 5 minutes and a standard deviation of s_x=2.8s x =2.8s, start subscript, x, end subscript, equals, 2, point, 8 minutes. What critical value t^*t ∗ t, start superscript, times, end superscript should she use? Choose 1 answer:
Answer:
4.032
Step-by-step explanation
Khan Academy
To find the critical value t^*t ∗t, start superscript, times, end superscript for a t-interval with 99% confidence and n=6, we need to use a t-distribution with degrees of freedom df=n−1=6−1=5.
What is t-distribution table?A t-distribution table is a table that lists critical values for the t-distribution.
The t-distribution is a probability distribution that is used in hypothesis testing when the sample size is small or when the population standard deviation is unknown. The table lists critical values for various levels of significance and degrees of freedom.
Using a t-distribution table or calculator with 5 degrees of freedom and a 99% confidence level, we find the critical value t^*t ∗t to be approximately 4.032.
Therefore, the doctor should use t^*t ∗t = 4.032 for constructing the t-interval for the mean waiting time.
Learn more about t-distribution at:
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Solve the system of equations below by graphing each line on the coordinate plane provided. Then place a point where the solution of the system occurs. 3x + 2y = 8 x + 2y = 4
Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.
9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
Help asap! I really need some help here!!!
Answer: 9 ft2
Step-by-step explanation:
i took that test yesterday
i need help fast!! and i’m almost failing
Answer:
well I would love to help-where is the pic...?
Please help
-2x = x - 15
Answer: x=5
Step-by-step explanation:
subtract x from both sides
-2x-x=x-15-x
-3x=15
then divide both sides by -3
-3x=-15
-3x -3
x=5
hope this helps! please mark as brainliest! Thanks
find the solution of given expression
[tex] \sqrt{365 \times 365} [/tex]
Answer:
√(365×365)=√365²=±365
Simplify the expression: ∣∣112 − 56∣∣ − (25 + 110)
The answer should be -79
Given that,
The equation is ∣∣112 − 56∣∣ − (25 + 110).Based on the above information, the calculation is as follows:
= (112 - 56) - (25 + 110)
= 56 -135
= -79
Learn more: brainly.com/question/17429689
Answer:
1/4
Step-by-step explanation:
I got it right
Using the digits 1, 3, 5, 7 at most once, you can make many three-digit numbers. What is the maximum possible sum of two such distinct numbers?
Answer:
1504
Step-by-step explanation:
Given the digits :
1, 3, 5, 7
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
Highest three digit number = 753
Next highest = 751
The sum of these two. Values gives :
753 + 751 = 1504
An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?An 8-foot roll of wrapping paper costs $9.60. What is the price per inch?
Answer:
$0.10
Step-by-step explanation:
STEPS TO ANSWERING THIS QUESTION
Convert the size of the wrapping paper to inches divide the total cost of the wrapping paper by the converted size1 ft = 12 inches
8 feet = 8 x 12 = 96 inches
price per inch = total length of the wrapping paper in inches / total cost of the wrapping paper
$9.60 / 96 = $0.10
If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?
Answer:
[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
Step-by-step explanation:
Multiply both sides: by x+c
a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)
Simplify: a(x+c)=b-2x
Expand: ax+ac=b-2x
Subtract ac from both sides: ax+ac-ac=b-2x-ac
Simplify: ax=b-2x-ac
Add 2x to both sides: ax+2x=b-2x-ac+2x
Simplify: ax+2x=b-ac
Factor ax+2x: x(a+2)
x(a+2)=b-ac
Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2
Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)
b.8(x - y + 12)
c.4xy(2x - 2y + 5)
d.4(2x - y + 5)
i need HELP !!!!!!!!!!!!!!!!
Answer:
I think the solution is (p,q)=(-2,-5)
The money used in Tajikistan is called the Somoni. The exchange rate is $7 = 22 Somoni. Find how many dollars you would receive if you exchanged 66 Somoni.
A: $207.43
B: $21
C: $16
D: $18
Answer:
B: $21
Step-by-step explanation:
Convert the mixed number into an improper fraction: 3 2/9
What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5
Answer:
52 4/5
Have a nice day! :)
86% of a university's freshman class are majoring in Computer Science. If 8514 students in the freshman class are Computer Science majors, how many students are in the freshman class?
Answer:
9900 Students
Step-by-step explanation:
Divide 8513 by .86 to show the rest of the freshman class.
You can check by doing 9900 times .86 to see %86 of 9900
Total there are 9900 students are in the freshman class.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 86% of a university's freshman class are majoring in Computer Science.
8514 students in the freshman class are Computer Science majors.
Let the number of students are in the freshman class be x.
Here, 86% of x=8514
86/100 ×x=8514
86x=851400
x=851400/86
x=9900
Therefore, total there are 9900 students are in the freshman class.
To learn more about the percentage visit:
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What percent of 50 is 36?
Answer:
72%
Step-by-step explanation:
%/100 = is/of Write formula
x/100 = 36/50 Substitute known values
50x=3600 Cross multiply
/50 /50 Divide both sides by 50 to isolate x
x =72
the value of x varies directly with y and inversely with z. when x=4,and y=12, z=6. what is the value of k?
A. K=6
B. K=2
C. K=18
D. K=288
Answer:
B
Step-by-step explanation:
Given x varies directly with y and inversely with z then the equation relating them is
x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation
To find k use the condition when x = 4 and y = 12, z = 6 , then
4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )
24 = 12k ( divide both sides by 12 )
2 = k → B
The value of the constant 'k' will be 2. Then the correct option is C.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The value of x varies directly with y and inversely with z. Then the proportionality is written as,
x ∝ y ...1
x ∝ 1 / z ...2
Then the combined proportionality is given as,
x ∝ y / z
x = ky / z
At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,
4 = 12k / 6
Simplify the equation, then the value of the constant 'k' is calculated as,
4 = 12k / 6
4 = 2k
k = 4 / 2
k = 2
The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.
More about the ratio and the proportion link is given below.
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Can someone please help me with this math question
Answer:
The answer would be D
Step-by-step explanation:
Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A
There is no such thing as a constant correlation so we can eliminate answer choice C
As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.
this is also notable from looking at the graph .
name three solutions of the inequality of z < 4
the answer is: 1,2,3
the inequality represents less than, meaning the value of z is less than 4
which leaves us with 3 numbers, 1, 2 and 3
The rectangular floor of a classroom is 20 feet in length and 32 feet in width. A scale
drawing of the floor has a length of 5 inches. What is the area, in square inches, of the
floor in the scale drawing?
i cant find the answer anywhere else lol
25.6 square inches
20 divided by 5 is 4
32 divied by 5 is 6.4
Multiply them and get 25.6
The area of a rectangle is x^2-4/2x in.^2 and its length is (x+2)^2/2 in. What is the width in inches?
A. x(x+2)/x-2
B. x+2/x(x+2)
C. x-2/x(x-2)
D. x-2/x(x+2)
what is the mean, median, mode and range of 7, 2, 1, 4, 1 (PLS DO NOT PUT ANY LINKS I AM USING THIS APP FOR HELP NOT FOR SCAM LINKS)
Answer:
Mean: 3
Median: 2
Mode: 1
Range: 6
Step-by-step explanation:
1.) The mean is the average of all the numbers. To find it, you add up all the numbers and then divide that by the amount of numbers. So, you would do: 7 + 2 + 1 + 4 + 1 = 15
15 ÷ 5 = 3
The mean is 3.
2.) The median is the middle number. In order to find it, you must put all the numbers in order:
1, 1, 2, 4, 7
The middle number is 2, so the median is 2.
3.) Mode is the number that appears the most often. Because 1 appears twice and the rest only appear once, the mode is 1.
4.) The range is the difference between the biggest and smallest numbers. Since 7 is the biggest number and 1 is the smallest, you would subtract them. 7-1 is 6, so the range would be 6.
9+10=?
A. 5
B. 14
C. 21
D. 19
Please help
Answer:
19
Step-by-step explanation:
is this a joke?
Option D. [tex]19.[/tex]
Step-by-step explanation:
[tex]10 + 9 = 19.[/tex]
An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
2. 35 degree.
Answer:
35°, 35°
Step-by-step explanation:
An isosceles triangle has 2 congruent angles.
The sum of the measures of the angles of a triangle is 180°.
A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.
That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.
x + x + 110 = 180
2x + 110 = 180
2x = 70
x = 35
Answer: 35°, 35°
Customer Money Spent (in dollars) 1 $13 2 $46 3 $13 4 $87 5 $10 6 $5 7 $8 8 $16 9 $33 10 $57 A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion A) is valid. The last 10 customers only bought sale items. B) is correct. This is the average amount spent by any customer. C) is invalid. This is not a good representation of all customers. Eliminate D) is unfair. The last ten people in the store may have been tired.
Answer:
Step-by-step explanation:
i think the anwer is c
Solve for the variable x.
X=25
X=10
X=-25
X=11.66667
Answer:
Its 10 I think i could be wrong.
Step-by-step explanation: