Answer:96
Step-by-step explanation:
A; 480/16 = 30 students per classroom
B: 192/12 =16 students per classroom
we need x such that [tex]\frac{480-x}{16} = \frac{192+x}{12}[/tex]
which means
(480-x )* 12 should be equal to (192+x) * 16
5,760 - 12x = 3,072+16x
5,760 - 3,072 = 12x + 16x
2,688 = 28x
x = 96
Consider the following equation. 6 ^ ( -x ) + 4 = 3x -1
Answer:
1.68
Step-by-step explanation:
1. Move all of the terms to the left side and set the problem equal to zero.
2. Set each factor equal to zero.
For this case we have the following equation:
[tex]6 ^ {- x} + 4 = 3x-1[/tex]
We must clear the value of x, we follow the steps below:
We subtract 3x on both sides of the equation:[tex]6 ^ {- x} -3x + 4 = -1[/tex]
Add 1 to both sides of the equation:
[tex]6 ^ {- x} - 3x + 4 + 1 = -1 + 1\\6 ^ {- x} - 3x + 5 = 0[/tex]
Each side of the equation is drawn, then the solution is the x value of the intersection point.
[tex]x = 1.68[/tex]
Answer:
See attached image
[tex]x = 1.68[/tex]
Ty had 10 eggs. He made 4 servings of scrambled eggs. He used n eggs for each serving.
create an expression to represent the number of eggs Ty has left.
[tex]10-4n=x[/tex]
Hope this helps.
Brainliest would help me as well.
Final answer:
The number of eggs Ty has left after making 4 servings of scrambled eggs, using n eggs for each serving, is represented by the algebraic expression 10 - 4n.
Explanation:
To determine the number of eggs Ty has left after making scrambled eggs, we need to use a simple algebraic expression. If Ty started with 10 eggs and used n eggs for each of the 4 servings, we can represent the number of eggs used in total as 4n.
To find the number of eggs remaining, we subtract the total number of eggs used from the initial number of eggs:
Number of eggs remaining = Initial number of eggs - Number of eggs used
Number of eggs remaining = 10 - 4n
Paul graphed the equation y=6 + x. What is the y-coordinations of the point on the graph that has an x coordinate of 12
Answer:
its 18
Step-by-step explanation:
6+12=18
lol
Answer:
y = 18
Step-by-step explanation:
Just let x = 12
y = 6 + x
y = 6 + 12
y = 18
When x = 12, y = 18.
The graph is included to show you what y = 6 + x looks like and it also shows the point (12,18) = (x,y)
7|n| = 56
anyone know how to do dis?!?!
Answer:
{-8, 8}
Step-by-step explanation:
Simplify 7· |n| = 56 by dividing both sides by 7:
|n| = 8
Because this is an absolute value equation, there are two separate solutions. One is n = +8 and the other is n = -8.
There are two solutions.
[tex]
7\times\mid n\mid=56\Longrightarrow\mid7n\mid=56 \\
\mid7\times x_1\mid=56\Longrightarrow x_1=\frac{56}{7}=\boxed{8} \\
\mid7\times(-x_1)\mid=56\Longrightarrow-x_2=\frac{56}{7}\Longrightarrow x_2=\boxed{-8}
[/tex]
Which of the following statements are true of the graph of the function f(x) = (x+5)(x-3)
_ the graph has a relative maximum
_ the graph has a relative minimum
_ the graph has an x-intercept at (5,0)
_ the graph has an x-intercept at (3,0)
_ the graph has a y-intercept at (0,-15)
_ the axis of symmetry is x= -2
The answer is the graph has a relative maximum
On a coordinate plane, the endpoints of line segment JK are J (-10, 12) K (8, -12). Point L lies on segment JK and divides it into two segments such that to LK is 5: 1. What are the coordinates of point L?
Answer:
(-7,8)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:
[tex](\frac{mx_{1}+nx_{2}}{m+n} ,\frac{my_{1}+ny_{2}}{m+n} )[/tex]
Here x1, y1 are the coordinates of first point J (-10, 12) and x2, y2 are the coordinates of second point K(8, -12).
In this case m will be 5 and n will be 1 as the ratio is 5:1
Using all these values we can find the coordinates of point L
[tex]( \frac{5(-10)+1(8)}{5+1},\frac{5(12)+1(-12)}{5+1} )\\\\ = (\frac{-42}{6} ,\frac{48}{6} )\\\\ =(-7,8)[/tex]
Thus, the coordinates of point L which divides the line segment JK in 5:1 are (-7,8)
The coordinates of point L, which divides the line segment JK in the ratio 5:1, are (5,-8).
Explanation:To find the coordinates of point L that divides the line segment JK in the ratio 5:1, we use the formula for section formula in coordinate geometry. This formula provides the coordinates of a point that divides a line segment into a specific ratio. The formula is X = (m1*x2 + m2*x1) / (m1+m2), Y = (m1*y2 + m2*y1) / (m1+m2), where m1 and m2 are the ratios.
Here, J(-10,12) is x1,y1 and K(8,-12) is x2,y2. The point L is dividing JK in the ratio 5:1, so m1=5 and m2=1. Substituting these values:
X = (5*8 + 1*-10) / (5 + 1) = 30 / 6 = 5, Y = (5*-12 + 1*12) / (5 + 1) = -48 / 6 = -8.
Therefore, the coordinates of point L are (5,-8).
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f(x)=4(x-1)^2-9 into standard form
Answer:
y=4(x-1)^2-9
Step-by-step explanation:
Replace f(x) with y to find the properties of the parabola
The answer would be y=4(x-1)^2-9
In the xy-coordinate plane shown below, point P has coordinates (8,-6). Which
of the following is an equation of the line that contains points O and P?
a. y = -x + 4
b. y = -x
c. y = x - 4
d. y=-3X
The answer will be D
The equation of the line passing through points O(0,0) and P(8,-6) is y = -3/4x.
Explanation:To find the equation of a line, we need to determine its slope and y-intercept. The slope can be found using the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are coordinates of two points on the line. In this case, we have the coordinates of points O and P: O(0,0) and P(8,-6).
The slope of the line passing through O and P is (-6 - 0) / (8 - 0) = -6 / 8 = -3 / 4.
Since the line passes through the origin (0,0), its y-intercept is 0. Therefore, the equation of the line is y = -3/4x.
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What is the sqaure roots for -196
Answer:
if -196 was positive, it could be 14 or -14, but because it is negative, it is considered infinity or unknown
The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?
xy = 14 and x - y = 2
x + y = 14 and x - y = 2
x + y = 14 and y - x = 2
Answer:
B. x + y = 14 and x - y = 2
Step-by-step explanation:
Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).
Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).
I hope this helps =)
Answer:
Option B. will be the answer.
Step-by-step explanation:
If the tens digit is x and ones digit is y, then the number formed will be xy.
Now we fill form the equations as per statements given in the question.
"The difference between tens and unit digits is 2"
x - y = 2 --------(1)
"Sum of the digits of two digit number is 14"
x + y = 14 -------(2)
Therefore, system of equations will be as the given equations 1 and 2.
Option B is the answer.
simplify each product.
1.) -3p^2(5p^2+p-7)
2.) (2n-5)(n-3)
3.) (5x-3)^2
4.) (n+5)^2
5.) (j+9)(j-9)
Answer:
number 1 my fried here justin has been taken
Step-by-step explanation:
I need to know number six and thank you guys for all the help
Answer:
D
Step-by-step explanation:
First of all, a very easy way is to count all the rectangles and then count the squares that are shaded and have balloons.
You'll get 7 squares that are shaded and have balloons and 16 rectangles in total.
So the fraction will be [tex]\frac{7}{16}[/tex]
Another simple way is to just multiply [tex]\frac{7}{8}[/tex] and [tex]\frac{1}{2}[/tex]
[tex]\frac{7}{8}*\frac{1}{2}=\frac{7}{16}[/tex]
Which of the following is the solution for 9<=1-4x<21
Answer:
-5 < x <=-2
Step-by-step explanation:
9<=1-4x<21
Subtract 1 from each side
9 -1<=1-1-4x<21-1
8 <= -4x < 20
Divide each side by -4. That means to flip all inequalities
8/-4 >= -4x/-4 >20/-4
-2 >=x > -5
-5 < x <=-2
Will give BRAINLIEST
Set up a linear system consisting of two equations. Assume you talk for a minimum 600 minutes. The first equation would be for the talks a lot company ($40 for 600 minutes and $.35 for each minute exceeding the 600) . The total cost (y) equals the base fee plus cost per minute times times the number of minutes exceeding 600. The second equation would be set up just like the first only you would use the Chat away company info ($50 for 600 minutes and $.10. For each minute exceeding )
Answer:
y = 40 + 0.35x
y = 50 + 0.1x
Step-by-step explanation:
Talk A Lot Company
$40 for 600 mins
$0.35 for each extra min
Total cost = y
Number of extra minutes after 600 mins = x
y = 40 + 0.35x
Chat Away Company
$50 for 600 mins
$0.10 for each extra mins
Total cost = y
Number of extra minutes after 600 mins = x
y = 50 + 0.1x
What’s the right triangle definition of tan theta
Final answer:
In mathematics, the right triangle definition of tan theta is the ratio of the length of the side opposite to theta (y) to the length of the side adjacent to theta (x).
Explanation:
The right triangle definition of tan theta (tan θ) involves the ratio of the lengths of two specific sides of the triangle. According to SOHCAHTOA, a mnemonic used to remember the definitions of the sine, cosine, and tangent functions, tan theta is the ratio of the opposite side (y) to the adjacent side (x) of the right triangle, where theta (θ) is one of the non-right angles. This can be written as tan(θ) = y/x.
In other words, the tangent of an angle θ in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
This can be represented as:
tan(θ) = Opposite side / Adjacent side = y / x
For example, if the opposite side y is 5 units and the adjacent side x is 3 units, then tan(θ) = 5 / 3
The Pythagorean Theorem may be applied in conjunction with the definitions of trigonometric functions to solve various problems involving right triangles, but it specifically relates to the relationship between the sides of a right triangle: a² + b² = c², where 'a' and 'b' are the lengths of the legs, and 'c' is the length of the hypotenuse.
When solving problems related to right triangles, it is beneficial to remember that the sum of the angles of a triangle is always equal to two right angles (or 180 degrees).
D is the correct answer right
Answer: the answer is A
Step-by-step explanation:
Solve for the variable. k/3 16/24
Answer:
k=2
Step-by-step explanation:
[tex]\frac{k}{3} = \frac{16}{24}[/tex] Set up your equation
24k=48 Cross multiply
k=2 Divide 24 from both sides
You answer is k=2
For this case we have the following equation:
[tex]\frac {k} {3} = \frac {16} {24}[/tex]
We must find the value of the variable "k":
Simplifying the right side of the equation we have:
[tex]\frac {k} {3} = \frac {8} {12}\\\frac {k} {3} = \frac {4} {6}\\\frac {k} {3} = \frac {2} {3}[/tex]
We multiply by 3 on both sides of the equation:
[tex]k = \frac {2} {3} * 3\\k = 2[/tex]
Answer:
[tex]k = 2[/tex]
Bedroom furniture for $1,985.00 cash, or $400 down and $74.00 per month for 24 months
$400 + (74.00 * 24) = $2,176.
The cash price is $191.00 less.
Answer:
bedroom furniture for $1,985.00 cash
or
bedroom furniture for $400 down payment and $74.00 per month for 24 months
so, calculating the total money
= down payment + monthly payment × number of months
= $400 + $74.00 × 24
= $ 2176
hence, paying bedroom furniture for $1,985.00 cash will be the appropriate option for the payment.
the table represent the consumer price index for a basket of goods and services for 3 consecutive years. calculate the inflation rate for 2014.
We'll assume that the CPI is given for the END of the year.
Then 2014's rate is the change in price from 2013 in percent,
r = 180/125 - 1 = 36/25 - 1 = 11/25 = 44 %
Answer: choice c
----------
This is a pretty poor question. The questioner should clarify the exact dates of the given values of the CPI, and use the actual values. 44% is an alarming inflation rate, but fortunately a fictitious one here in the US. US inflation in 2014 was around 0.7% so the number the student was asked to compute was off by more than a factor of sixty.
Answer:
C
Step-by-step explanation:
y= -3x^2-24x-46 write in vertex form
ANSWER
[tex]y= -3{(x + 4)}^{2} + 2[/tex]
EXPLANATION
The given function is:
[tex]y= -3x^2-24x-46[/tex]
Factor -3 for the first 2 terms.
[tex]y= -3(x^2 + 8x)-46[/tex]
We add and subtract the square of the coefficient of x.
[tex]y= -3(x^2 + 8x + {(4)}^{2} ) - - 3( {4)}^{2} -46[/tex]
Factor the perfect square trinomial.
[tex]y= -3 {(x + 4)}^{2} ) + 48 -46[/tex]
The vertex form is:
[tex]y= -3{(x + 4)}^{2} + 2[/tex]
What number is an outlier for the given data? 23,34,27,7,30,26,28,31,34. A)7 B)23 C)31 D)34
Answer:
A) 7
Step-by-step explanation:
The outlier of a given data set is one that is significantly larger or smaller than the rest of the data.
In this set, most of the values are within the 25-35 range, more or less. But out of all of those numbers, one of the is too small to make sense, which is 7.
y < -2x + 4 what is the solution to the inequality?
Answer:
x<\frac{-y+4}{2}
Step-by-step explanation:
Hope this helps!!!
can i get brainliest plzzz thx
Use the formula to figure out the area. Calculate your answer to the nearest hundredth
Answer:
you need to add the picture
Step-by-step explanation:
Answer:add the picture
Step-by-step explanation:
te
5. A farmer found a crop circle in his fields. He rode his tractor around it, and found that its
circumference was 1.884 miles. He rode his tractor directly across the center, and found
that the diameter was 0.6 miles. What is the area of the crop circle?
Answer: 0.283 square miles
Step-by-step explanation:
The area of a circle is:
Diameter:A = (π/4) × D2
or, when you know the Circumference:A = C2 / 4π
hellodjdjdjdjdjdjdjd
Answer:
can't help you sorry
Step-by-step explanation:
can't help you sorry!
Answer:
yes
Step-by-step explanation:
Pls help!!!
So I been needing help for the past week now and my friends dk either cuz they just as dumb as me.
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\implies \stackrel{\textit{8\% of (s)ales}}{\left(\cfrac{8}{100} \right)s}\qquad \qquad \begin{cases} c=commission\\ s=total~sales \end{cases}[/tex]
[tex]\bf \stackrel{\textit{her (c)ommision is 8\% of (s)ales}}{c = \cfrac{8}{100}s\implies c=\cfrac{8s}{100}}\implies \stackrel{\textit{we know she made 2560 in commision}}{2560=\cfrac{8s}{100}\implies 256000=8s} \\\\\\ \cfrac{256000}{8}=s\implies 32000=s[/tex]
PLS HELP EASY AND I GIVE BRAINLIEST
No a triangle equals to be 180 degrees not 190 degrees
No, a triangle cannot be drawn with the following angles.
On a triangle, all angles will add up to 180º.
These angles add up to 190º so it would not work.
Which of the following graphs is described by the function given below? Y=x^2-4x-12
Answer:
graph B
Step-by-step explanation:
if we mention x =0 then y=-12 and we do the same with y if we mention y=0 then x=6 and x=-2 and we will find thes cases only in graph B
The solution is Option B.
The graph of the equation of line y = x² - 4x - 12 is given below , where the values of y = 0 at x = -2 and x = 6
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be A
Now , the value of A is given as
y = x² - 4x - 12 be equation (1)
On factorizing the equation (1) , we get
y = x² + 2x - 6x - 12
So , on grouping the common terms , we get
y = x ( x + 2 ) - 6 ( x + 2 )
y = ( x + 2 ) ( x - 6 )
when y = 0
x + 2 = 0
On subtracting 2 on both sides , we get
x = -2
when y = 0
x - 6 = 0
On adding 6 on both sides , we get
x = 6
So , the value of y = 0 , when x = -2 and when x = 6
Substituting the values in the equation,we get the following graph
Therefore , the equation of line is y = ( x + 2 ) ( x - 6 )
Hence , The graph of the equation of line y = x² - 4x - 12 is given below , where the values of y = 0 at x = -2 and x = 6
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Write an equation in slope-intercept form for the line with slope -7 and y-intercept 8 . Then graph the line.
The equation in slope-intercept form for the line with slope -7 and y-intercept 8 is y = -7x + 8. To graph the line, plot the y-intercept and use the slope to find other points on the line, connecting them to create the line.
Explanation:To write an equation in slope-intercept form, we use the formula y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -7 and the y-intercept is 8, so the equation is y = -7x + 8.
To graph the line, first plot the y-intercept, which is the point (0,8). Then, use the slope to find other points on the line. Since the slope is -7, for every increase of 1 on the horizontal axis, the line decreases by 7 on the vertical axis. So, for example, if we move 1 unit to the right from the y-intercept, we go down 7 units. Plot these additional points and connect them to create the line.
the cost of oranges in a grocery store is directly proportional to the number of oranges purchased. elia paid $2.52 for 6 oranges. if p represents the cost(in dollars) and n represents the number of oranges, find the unit rate
Step-by-step explanation:
6 oranges =$2.52
1 orange=$2.52/6
=$0.42
Answer:
Step-by-step explanation:
The answer is aP=0.42n
To get to that answer all you have to do is 2.52/6=0.42
6 oranges=2.52
1 oranges=0.42