Answer:
104,943.60
Step-by-step explanation:
40% of 395 is 158. the remainder of the students (the 60%) pays for their lunch instead of packing. 60% of 395 is 237, so 237 students pay for their lunch. if 237 students spend $2.46 for lunch each day for 180 days, the school would collect 104,943.60 .
Find the solutions to the equation 102x 11 = (x 6)2 – 2. Which values are approximate solutions to the equation? Check all that apply. –9. 6 –7. 4 –4. 6 –2. 4 0. 6.
The value of x is -0.01.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
SimplificationSimplification is to make something easier to do or understand and to make something less complicated.
Given
The equation is 102x + 11 = (x + 6)2 – 2.
To findThe value of x.
How to find the value of x?The equation is 102x + 11 = (x + 6)2 – 2.
On simplifying,
102x + 11 = 2(x + 6) - 2
102x + 11 = 2x + 12 - 2
102x + 11 = 2x + 10
102x - 2x = 10 - 11
100x = -1
x = -0.01
Thus, the value of x is -0.01.
More about the linear equation link is given below.
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a line has a slope of -7 and has a y-intercept of 14 , what is the equation of the line in slope intercept form.
A.y=-2
B.y=-7x+14
C. y=14x-7
D. y=-2x+7
Answer:
B. y = -7x + 14
Step-by-step explanation:
Since -7 is the slope and 14 is the y-intercept, the equation would be y = -7x + 14.
I hope this helps! :)
Answer:
B
Step-by-step explanation:
The equation for a line is in the slope-intercept form: y = mx +b
where m is the slope and b is the y-intercept
Simply plug in the known values and viola!
y = (-7)x + (14)
y = -7x + 14
Therefore, your answer is B!
Hope this helps! =D
Write an equation to represent the relationship shown in the table.
Answer:
y=x-4
Step-by-step explanation:
please mark brainliest!
Compare the box plots. Which statements are true? Check all that apply. Mike threw more touchdowns in one season. The value 8 is an outlier for Jeff’s data set. The median for Mike’s data set is 22 touchdowns. Mike had a greater variation of the total number of touchdowns each season. The differences in the medians and positions of the boxes show that Jeff generally threw more touchdowns than Mike.
Answer:
The correct options are A and E, or the first and last options on Edge.
Step-by-step explanation:
The answers are 'Mike threw more touchdowns in one season.' and 'The differences in the medians and positions of the boxes show that Jeff generally threw more touchdowns than Mike.' I did the assignment myself. I hope this helps everyone!
Answer:
A and E
Step-by-step explanation:
edg
write the equation of the like that is parallel to y=-x-5 and has a y-intercept at (0,11)
Answer:
y = x + 11
Step-by-step explanation:
A line parallel to y = x - 5, intersecting at (0,11) should have slope equal to 1 and y-intercept equal to 11.
So, using y = mx + b , where m is the slope and b is the y-intercept :-
=> y = (1)x + (11)
=> y = x + 11
BRAINLIEST?
PUH-LEEZ.
Which of the following expressions is equivalent to 15x+y−x−10y?
Select one:
16x−11y
5(3x−2y)
5xy
14x−9y
I REALLY NEED HELP WITH THIS
a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular pen against a permanent stone wall. i)show that a=1/2x(100-x) ii) find dA/dx and d2A/dx^2 iii)find the value of x that makes the area as large as possible, and explain how you know that this is a maximum.
The perimeter of the area of the pen the farmer intends to build for his
ship includes the length of the permanent stone wall.
Response:
i) The length and width of the rectangular pen are; x, and [tex]\dfrac{100 - x}{2}[/tex], therefore;
The area is; [tex]A = \dfrac{1}{2} \cdot x \cdot (100 - x)[/tex][tex]ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x[/tex]
[tex]\dfrac{d^2A}{dx^2} = -1[/tex]
iii) The value of x that makes the area as large as possible is x = 50
How is the function for the area and the maximum area obtained?Given:
The length of fencing the farmer has = 100 m
Part of the area of the pen is a permanent stone wall.
Let x represent the length of the stone wall, we have;
2 × Width = 100 m - x
Therefore;
Width, w, of the rectangular pen, [tex]w = \mathbf{\dfrac{100 - x}{2}}[/tex]
Area of a rectangle = Length × Width
Area of the rectangular pen, is therefore;
[tex]A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}[/tex][tex]ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}[/tex], and [tex]\mathbf{\dfrac{d^2A}{dx^2} }[/tex] are found as follows;
[tex]\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}[/tex]
[tex]\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}[/tex]
iii) The value of x that makes the area as large as possible is given as follows;
Given that the second derivative, [tex]\dfrac{d^2A}{dx^2} =-1[/tex], is negative, we have;
At the maximum area, [tex]\dfrac{dA}{dx} = \mathbf{0}[/tex], which gives;
[tex]\dfrac{dA}{dx} = 50 - x = 0[/tex]
x = 50
The value of x that makes the area as large as possible is x = 50Learn more about the maximum value of a function here:
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Which of the following are solutions to the equation below?
Check all that apply.
(4x - 1)2 = 11
I A. X = -
:-+1
B. x= V11+1
12
I C. x = -2
4
D. x =
12
4.
E. x= v1+1
1
+
I F. x=
-VT1+1
4
Answer:
[tex] {(4x - 1)}^{2} = 11 \\ 4x - 1 = \sqrt{11} \: \: \: \: 4x - 1 = - \sqrt{11} \\4 x = \sqrt{11} + 1 \: \: \: \: 4x = - \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} }{4} + \frac{1}{4} \: \: \: \: \: \: x = - \frac{ \sqrt{11} }{4} + \frac{1}{4} [/tex]
I need answer now please its missing now asap :D you will be marked brainliest Is she correct or wrong.
Answer:
She is wrong
Step-by-step explanation:
1/5 is equivalent to 3/15 but not 4/25
Answer:
The first fraction is correct, the second fraction is wrong. She got the first fraction equivalent by multiplying the numerator by 3.
The total number of pennies on Row 1 is: 1 2 4 8 16 32 64 128 =.
The pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.
Given
There are 8 rows and 8 columns, which means 64 squares on a chessboard.
We are placing 1 penny on Row 1 Column A, 2 pennies on Row 1 Column B, 4 pennies on Row 1 Column C, and so on.
What is the matrix?A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
So, we are increasing the number of pennies twice the amount of the previous square.
So, the pennies on next squares will be,
[tex]\rm Column \ D = 2\times 4=8\\\\Column \ E = 2\times 9=16\\\\Column \ F= 2\times 16=32\\\\Column \ G= 2\times 32=64\\\\Column \ H = 2\times 64=128[/tex]
Therefore, the pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.
For more details about the matrix refer to the link:
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Find an equation for the line below
(Pls provide explanation)
Answer:
y=-2/4x + (-4.5)
Step-by-step explanation:
so first we look for the slope which is rise/run.
start with the lower point and count up two.
the count to the left and you have -2/4, thats your slope.
then you chose one point, like (1,-5)
so either using point slope form y-y1=m(x-x1) or standard form y+mx+b
im going to use standard form
plug in your points like so:
y= -2/4x +b
-5= -2/4(1) +b
-5 = -1/2 + b
-5+ 1/2 = b
-4 1/2 =b
so y should equal
y=-2/4x + (-4.5)
im not sure but i hope this helps a bit
Which of the following is true of the location of an angle, Theta, whose tangent value is Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction? Theta has a 30-degree reference angle and is located in Quadrant II or IV Theta has a 30-degree reference angle and is located in Quadrant II or III Theta has a 60-degree reference angle and is located in Quadrant II or IV Theta has a 60-degree reference angle and is located in Quadrant II or III.
The value of theta has a 30-degree reference angle and is located in Quadrant II or IV.
Given to us
[tex]tan \theta =-\dfrac{\sqrt{3}}{3}[/tex]
What is the value of [tex]tan \theta =\dfrac{\sqrt{3}}{3}[/tex]?To know the value [tex]tan \theta =\dfrac{\sqrt{3}}{3}[/tex] we will simplify the given expression,
[tex]tan \theta =\dfrac{\sqrt{3}}{3}\\\\\\tan \theta =\dfrac{1}{\sqrt{3}}\\\\tan \theta =30^o[/tex]
Hence, the value of theta is 30°.
Finding the location of the - tan30°?To know that the location of the -tan30°,
[tex]tan30^o = -\dfrac{sin30^o}{cos30^o}[/tex]
As the value is negative, therefore, there can be two cases,
Case I: when the value of Sin30° is negative,
Case II: when the value of cos30° is negative.
Case I: when the value of Sin30° is negative,
If the value of Sin30° is negative, while the value of cos30° is positive, the θ will lie in the fourth quadrant.
Case II: when the value of Cos30° is negative,
If the value of Cos30° is negative, while the value of Sin30° is positive, the θ will lie in the second quadrant.
Hence, the value of theta has a 30-degree reference angle and is located in Quadrant II or IV.
Learn more about Quadrants:
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Answer:
a
Step-by-step explanation:
Guys pls pls help this is due today and I need help!!!!!!!
Answer:
y=3^x
Step-by-step explanation:
Let f (x) = 1/(x^2) What conclusion can be made about the maximum and minimum values of function f on the interval [–5, 5] using the extreme value theorem?
Answer:
The function is not continuous on the interval, so the extreme value theorem does not apply
Step-by-step explanation:
Recall that the Extreme Value Theorem states that if a function is continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval. Given that the function is discontinuous at x=0 which gives off a vertical asymptote, this does not meet the requirements of the theorem.
Please help me I have gone over the tutorial 3 times and I cant figure it out pleaaase help me i will love you forever
Answer:
H, (3.5,-3), B, (3.5,5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
1). H
2). ( 3.5 , - 3 )
3). B
4) ( 3.5 , 5 )
how would i go about simplifying (x+h)^3?
This year, Brad is a photographer for his school newspaper. He takes 5 color photos for every 2 black-and-white photos.
Complete the table.
Graph the data from the table.
The sequence of number of color and black and white photos would look like this: 5 color/2 black and white, 15 color/6 black and white, 20 color/8 black and white, and 30 color/12 black and white.
How to calculate the number of photos?To calculate the number of photos that follow in the sequence, it is necessary to take into account that for every 5 in color there are 2 in black and white.
We can also rely on the graph since it shows the constant relationship between both values. In it we can identify the equivalence between both types of photos.
According to the above, the sequence of number of color and black and white photos would look like this:
5 colour/2 black and white.15 colour/6 black and white.20 colour/ 8 black and white.30 colour/12 black and white.Learn more about graph in: https://brainly.com/question/14375099
what is 6 2/3 in radical form
Perform the operation (4x^2+8)+8x^2-5x+2)
Plz help
Answer:
12[tex]x^{2}[/tex]-5x+10
4[tex]x^{2}[/tex]+8+8[tex]x^{2}[/tex]-5x+2
( group like terms )
4[tex]x^{2}[/tex]+8[tex]x^{2}[/tex]-5x+8+2
( add 8+2 )
4[tex]x^{2}[/tex]+8[tex]x^{2}[/tex]-5x+10
Add similar elements :4[tex]x^{2}[/tex]+8[tex]x^{2}[/tex]=12[tex]x^{2}[/tex]
12[tex]x^{2}[/tex]-5x+10
Step-by-step explanation:
3(2x+1) =9 Show work please
Answer:
x=1
Step-by-step explanation:
Given
3(2x+1)=9
Distribute left side
3(2x+1)=9
3(2x)+3(1)=9
6x+3=9
Subtract 3 on both sides
6x+3=9
6x+3-3=9-3
6x=6
Divide both sides by 6 to isolate "x"
6x=6
6x/6=6/6
x=1
Final answer
x=1
Answer:
x=1
Step-by-step explanation:
3(2x+1)= 9
(3x2x) + 1 =9
6x+3=9
6x-3=9-3
6x=6
6x/6=6/6
x=1
Check your work:
3(2(1)+1)=9
3(2+1)=9
6+3=9
9=9
Please help I'm struggling with math and I need some clarity from someone
Since PS = RS, the triangle PRS is isosceles. This means the angles SPR and SRP are congruent.
The interior angles of any triangle sum to 180° in measure. So we have
∠SPR + ∠SRP + 90° = 180°
2 ∠SPR + 90° = 180°
2 ∠SPR = 90°
∠SPR = a = 45°
Stefan works at a local grocery store. He works three hours a day, Monday through Friday and six hours on Saturday. Stefan is paid $14.75 per hour.
Answer:
$309.75 in a week
Step-by-step explanation:
is my answer right? if not break the hard news and give me the right one
Answer:
yea ur right, go for it!
Step-by-step explanation:
1. Find the value of P, rounded to the nearest tenth.
Answer:
There is no question to solve. Please repost the question.
Step-by-step explanation:
How many like terms are in the expression? 14 x minus 14 y 7 minus x z 2 x 0 2 3 5.
Like terms are those terms, which have the common variable with same powers.
The number of like terms in the given expression are 3, which is [tex](14x,-x,2x)[/tex]. the option 3 is the correct option.
What is like terms?In the algebra or the algebraic expression the like terms are those terms, which have the common variable with same powers.
Given information-
The given expression in the problem is,
[tex]14 x -14 y+ 7 - x+ z+ 2 x[/tex]
The given expression is the algebraic expression which 3 number of unknowns variables.
There is total 6 terms in the given expression. In which 5 terms consists the variables and one term is constant.
In the given expression,
The total number of terms with variable x are 3 which are,[tex](14x,-x,2x)[/tex].The total number of terms with variable y is 2 which is [tex]-14y[/tex].The total number of terms with variable z is 1 which is [tex]z[/tex].The total number of constant terms is 1 which is 7.Thus the number of like terms in the given expression are 3, which is [tex](14x,-x,2x)[/tex]. the option 3 is the correct option.
Learn more about the like terms here;
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Write an expression for the perimeter or
the triangle below.
Answer:
1.8k-5+ k+1.5+ 3.5+6.1k
Step-by-step explanation:
For the parameter you have to add all sides together.
What is the equation of the line of best fit for Aiden’s data? Enter the correct answer in the box by replacing m and b in the equation. Round each number to the nearest tenth.
Answer:
Y= 2.3033x + 160.71
Step-by-step explanation:
The value of the slope m is 2.55 and the y-intercept of the line is 135.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + b
Where m is the slope of the line and b is the y-intercept of the line.
From the table, the two points will be (60, 288.1) and (100, 390).
Then the slope of the line will be
m = [(390 - 288.1) / (100 - 60)]
m = 101.9 / 40
m = 2.55
Then the equation of the line will be
y = 2.55x + b
The equation is passing through (100, 390). Then the value of b will be
390 = 2.55 (100) + b
390 = 255 + b
b = 135
Then the equation of the line will be
y = 2.55x + 135
The value of the slope m is 2.55 and the y-intercept of the line is 135.
The complete question is attached below.
More about the linear equation link is given below.
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Help
please answer the question
Answer:
it's D because
6/2=3
So you then divide 15/3=5
Multiplying Polynomials Distributive property
5a^2bc(-abc^2+3abc)-ab^2(2a^2c^2+ac^3+4a^2c^3)
Answer:
I really hope it's correct that was the first time I did smth like this one
Please answer!it is grade 6 math
