Given:
There are 35 times as many students at Wow University as teachers.
When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty.
To find:
The total number of students.
Solution:
Let x be the number of teachers at Wow University. So, the number of student is :
[tex]35\times x=35x[/tex]
When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty.
[tex]x+35x=8544-12[/tex]
[tex]36x=8532[/tex]
[tex]x=\dfrac{8532}{36}[/tex]
[tex]x=237[/tex]
The number of total students is:
[tex]35x=35(237)[/tex]
[tex]35x=8295[/tex]
Therefore, the total number of students is 8295.
through: (4,- 4), perp. to y = -4x - 2
Answer:
Step-by-step explanation:
y = -4x - 2
slope of line = -4
slope of perpendicular to line = ¼
Point-slope equation for line of slope ¼, passing through (4,-4):
y+4 = ¼(x-4)
In slope-intercept form:
y = ¼x - 5
Question 1 of 10 An equation allows you to find the x- and y-coordinates of any point on the xy- plane. A. True B. False
Answer:
True
Step-by-step explanation:
The requried, an equation allows you to find the x- and y-coordinates of any point on the xy- plane. The given statment is true.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
An equation in two variables (such as y = mx + b, where m and b are constants) allows you to find the x- and y-coordinates of any point on the xy-plane that satisfies the equation.
To find the x-coordinate of a point, you can plug in a value for y and solve for x. To find the y-coordinate of a point, you can plug in a value for x and solve for y.
Learn more about equations here:
brainly.com/question/10413253
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what is the answer for 9x² + 3xy - 12x - 4y
Answer:
(3x + y)(3x - 4)
Step-by-step explanation:
9x² + 3xy - 12x - 4y =
There is no common factor in the 4 terms.
Since there are 4 terms, we try factoring by grouping.
Find a common factor in the first two terms, and find a common factor in the last two terms.
= 3x(3x + y) - 4(3x + y)
Now factor out the common factor 3x + y.
= (3x + y)(3x - 4)
factorise the following. x²-4
(x-2)(x+2) is factorize is given eq
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
Answer:
16/8 + 24
Step-by-step explanation:
identify the type of function graphed to the right.
linear
exponential
other
Answer:
linear i think
Step-by-step explanation:
exponential
Step-by-step explanation:
Find angle m
A. 69
B. 23
C. 46
D. 167
Answer:
a
Step-by-step explanation:
∠DAF - ∠CFA=∠DFC
118-49 =69
According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 families do not have any one of them,then how many families will have both radio and television?Find it.
Answer:
the families who use both radio and television is 44.
PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
B. neither perpendicular nor parallel
Step-by-step explanation:
to be perpendicular, the slopes have to be complete opposites. in this case, the second term would have to be y=-0.5x to be perpendicular. to be parallel, the two would have to have the same slopes; so y=2x and y=2x
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?
508 seconds
510 seconds
509 seconds
508.8 seconds
Answer:
508.8 seconds
Step-by-step explanation:
The most accurate determination mathematically is to assume that Lola will maintain an average of 5.3 seconds per signature as she signs all 96 invitations.
Therefore, multiply the time it takes her to sign each invitation (5.3 seconds) by the total number of invitations there are (96 invitations) to get the projected total amount of time that it will take Lola to sign all 96 invitations:[tex]96\cdot 5.3=\boxed{508.8\text{ seconds}}[/tex]
Answer:
508.8 seconds (8.48 minutes)
Step-by-step explanation:
96 × 5.3 = 508.8
Could anyone help me out with this?
Answer: they are abt the same its all abt percentage now- Pitcher A
Step-by-step explanation: more water lessens the strength
find the missing side plzzz helpppp
Answer:
10*30 = 300, 300 is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
The lines indicates that all side are 10 cm and the white shape is a rhombus
the biggest figure is a rectangle: its angles are 90 degrees
so the triangles have the angles : 90 30 60
so, we have that theeir side are
5 cm and 5√3 cm
perimeter = (10 + 5√3)* 2 + 10 = 20 + 10√3 + 10 = 30 + 10√3 = 10(3 + √3) cm
A = (10 + 5√3)* 5 = 50 + 25√3 = 25(2+√3) cm^2
Area of the two triangle = 5 * 5√3 = = 25√3 cm^2
if we want know the perimeter and the area of the white figure, we have
perimeter = 40 cm
area = 50 + 25√3 - 25√3 = 50 cm^2
Consider the following equations and name the property of equality used to solve for the variable.
A. x + 3.75 = 7
B. –3b = 18
C. StartFraction m Over 5 EndFraction = negative 25
D. m – 4 = 9
Answer:
Subtraction property ; x = 3.25
Division property ; - 6
multiplication property ; - 125
Addition property ; 13
Step-by-step explanation:
A.)
x + 3.75 = 7
Using the subtraction property : subtract 3.75 from both sides
x + 3.75 - 3.75 = 7 - 3.75
x = 3.25
B. )
–3b = 18
According to the division property :
Divide both sides by - 3
-3b / - 3 = 18 / - 3
b = - 6
C.)
m/5 = - 25
Using the multiplication property :
m/5 * 5 = - 25 * 5
m = - 125
D.)
m – 4 = 9
Using the addition property :
Add 4 to both sides :
m - 4 + 4 = 9 + 4
m = 13
Answer:
A. Subtraction property ; x = 3.25
B. Division property ; - 6
C. multiplication property ; - 125
D. Addition property ; 13
Step-by-step explanation:
Suppose that x - y = 2 and 2x – 3y = 11. Then x + y =
Answer:
x + y = -12
Step-by-step explanation:
x - y = 2
2x – 3y = 11
-2x +2y = -4
2x – 3y = 11
-y = 7
y = -7
x = -5
x + y = -12
whats the lowest common multiple of 120 and 19600
Answer:
Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.
Least common multiple (LCM) of 19600 and 19619 is 384532400.
Answer: 19600
Step-by-step explanation:
19600/120 = 160
series calcular s=1+2+3+....+86
Answer:
S = 3741
Step-by-step explanation:
Here, we want to calculate the sum of the first 86 numbers (starting from 1)
Mathematically, we can use the formula;
Sn = n/2[ a + L]
Where n is the number of terms (86 here)
a is the first term which is 1 and L is the last term which is 86
So, we have the sum as;
Sn = 86/2(1 + 86) = 43 * 87 = 3741
pa answer naman po!!!
[tex]\bold{{Answer:}}[/tex]
Tropical Rain Forest
1.B
2.A
3.Di ko alam
Coral Reefs
1.C
2.E
3.I
Mangrove Swamps
1.D
2.H
3.G
pa tama nalang kung mali ah
tao lang nag kakamali rin hehe
[tex]\bold\blue{{Answer:}}[/tex]
Tropical Rain Forest
1.B
2.A
3.F
Coral Reefs
1.C
2.E
3.I
Mangrove Swamps
1.D
2.H
3.G
Taga Pilipinas ka din ba o hindi?
What's a boxplot? Also provide an example...
Answer:
BOXPLOT is a simple way of representing statistical data on a plot in which a rectangle is drawn to represent the second and third quartiles, usually with a vertical line inside to indicate the median value. The lower and upper quartiles are shown as horizontal lines either side of the rectangle.
Step-by-step explanation:
Example 1: Draw a box-and-whisker plot for the data set {3, 7, 8, 5, 12, 14, 21, 13, 18}.
From our Example 1 on the previous page, we had the five-number summary:
Minimum: 3, Q1 : 6, Median: 12, Q3 : 16, and Maximum: 21.
CHECK THE ABOVE PICNotice that in any box-and-whisker plot, the left-side whisker represents where we find approximately the lowest 25% of the data and the right-side whisker represents where we find approximately the highest 25% of the data. The box part represents the interquartile range and represents approximately the middle 50% of all the data. The data is divided into four regions, which each represent approximately 25% of the data. This gives us a nice visual representation of how the data is spread out across the range.
Step-by-step explanation:
In descriptive statistics, a box plot or boxplot (also known as box and whisker plot) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.
Write L if it is Likely to happen and Write U if it is unlikely to happen. Topic is probability
1. 2:3
2. 4:15
3. 3/10
4. 13/21
5. 6/16
6. 8:11
7. 9:20
8. 11:25
9. 5/16
10. 7/12
11. 6:13
12. 4:9
13. 2:5
14. 19/45
15. 12/25
Please make it quick
Answer
15. 12/25
Step-by-step explanation:
Because the surface value of this question
By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
Answer:
$8
Step-by-step explanation:
This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?
Two equations are presented in this question
x + 2y = 82 equation 1
3x + y = 96 equation 2
Multiply equation 1 by 3
3x + 6y = 246 equation 3
subtract equation 2 from 3
5y = 150
y = 30
Substitute for y in equation 1
x + 2(30) = 82
x = 82 - 60
x = 22
difference in price = 30 - 22 = $8
x =
-6x=48-6y
-4x=50-6y
HELP PLZZZ
Answer:
[tex]x=1,\\y=9[/tex]
Step-by-step explanation:
When solving a system of equations, one of the faster methods to solve this system is the process of elimination. This process involves manipulating one of the equations (by multiplying it by a certain value), such that when one adds the two equations in the system, one of the variables cancels. One can then solve for the other variable in the system. Then backsolve for the other variable; by substituting the value of the found variable into the system, simplifying and using inverse operations to solve for the other variable.
[tex]-6x=48-6y\\\\-4x=50-6y[/tex]
Manipulate, multiply one of the equations by a certain value such that the coefficient of the like term in the other equation is the additive inverse of it.
[tex](-6x=48-6y)*(-1)\\\\-4x=50-6y[/tex]
Simplify,
[tex]6x=-48+6y\\\\-4x=50-6y[/tex]
Add the equations in the system,
[tex]6x=-48+6y\\\\-4x=50-6y[/tex]
[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]
Simplify,
[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]
[tex]2x=2[/tex]
Inverse operations,
[tex]2x=2[/tex]
[tex]x=1[/tex]
Backsolve to find the value of (y).
[tex]-4x=50-6y[/tex]
[tex]x=1[/tex]
Substitute,
[tex]-4(1)=50-6y[/tex]
Simplify,
[tex]-4=50-6y[/tex]
Inverse operations,
[tex]-4=50-6y[/tex]
[tex]-54=-6y[/tex]
[tex]9=y[/tex]
What is the correct expansion of (2x+3) (2x^2-5)
Answer:
4x^3 + 6x^2 -10x - 15
Step-by-step explanation:
* means multiply
4x^3 + 6x^2 -10x - 15
2x * 2x^2 = 4x^3
2x * -5 = 10x
3 * 2x^2 = 6x^2
3 * -5 = -15
Answer:
4x³ + 6x² - 10x - 15
Step-by-step explanation:
(2x+3) (2x²-5)
4x³ - 10x + 6x² - 15
4x³ + 6x² - 10x - 15
On evaluating the expression 10(x - 20y) + 100x, the answer will be
Answer:
110x -200y
Step-by-step explanation:
10(x - 20y) + 100x
Distribute
10x-200y +100x
Combine like terms
110x -200y
Answer:
110x−200y
Step-by-Step Explanation:
Given:
10(x−20y)+100x
First Step: Distribute
(10)(x)+(10)(−20y)+100x
10x+−200y+100x
Second Step: Combine Like Terms:
10x+−200y+100x
(10x+100x)+(−200y)
110x+−200y
Answer:
=110x−200y
What is the distance between (-1,2) and (-5, 2)
Answer:
4
Step-by-step explanation:
The distance between the points (-1,2) and (-5,2)
[tex] \sqrt{( - 5 - ( - 1)) ^{2} + (2 - 2) ^{2} } \\ = \: \sqrt{( - 4)^{2} + (0) ^{2} } \\ = \sqrt{16 + 0} \\ = \sqrt{16} \\ = 4[/tex]
Answered by GAUTHMATH
help me with this problem please!!!!
Step-by-step explanation:
sorry I wanted to help you but my calculator is take out decimals sorry I don't know what to do
Please help me with this problem
Answer:
6a = 6 * a
2a * b = 2ab
Step-by-step explanation:
2a * 2b = 4ab not 2ab
6 * a is the same as 6a
5a = 5 * a not 5 + a
3ab has different variables then 3c therefore the expression cannot be true
2ab is the same as 2a * b
Find the inverse of the function y = x2 – 12
Answer:
y=sqrt(x+12)
i hope this helped and have a nice day/night :)
A summer camp basketball coach is hired to work 10 hours per week. During a really busy first week, they were required to work 15 hours. What percentage of time did they work during the busy week? Show your work.
Answer:
150%
Step-by-step explanation:
15 / 10 =
1.5 =
150%
A new computer company earns a profit of $245000 in its first year. The company expects the profits to increase by 15% each year for each subsequent year. Using your series formula, find the profit earned in its seventh year.
Answer:
$566,700 to the nearest dollar.
Step-by-step explanation:
This is a geometric series with nth term = a1r^(n-1) where common ratio r
= 1.15 and first term a1 = 245000
So in its 7th year the profit will be 245000^ 1.15^(7-1)
= 566699.8876.
Factor the expression below. A. (x − 6)(x − 6) B. 6(x2 − x + 6) C. (x − 6)(x + 6) D. (x + 6)(x + 6)
Step-by-step explanation:
X(x+6) - 6(x+6)
X+6x-6x-36
X-36