Answers
The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.
Given an equation showing profits of A Christmas vendor as
P=-0.1[tex]g^{2}[/tex]+30g-1200.
We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.
To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.
665.60=-0.1[tex]g^{2}[/tex]+30g-1200
0.1[tex]g^{2}[/tex]-30g+1200+665.60=0
0.1[tex]g^{2}[/tex]-30g+1865.60=0
Divide the above equation by 0.1.
[tex]g^{2}[/tex]-300g+18656=0
Solving for g we get,
g=[300±[tex]\sqrt{(300)^{2}-4*1*18656 }[/tex]]/2*1
g=[300±[tex]\sqrt{90000-74624}]/2[/tex]
g=[300±[tex]\sqrt{15376}[/tex]]/2
g=(300±124)/2
g=(300+124)/2 , g=(300-124)/2
g=424/2, g=176/2
g=212,88
Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.
Put the value of P=1500 in equation P=-0.1[tex]g^{2}[/tex]+30g-1200.
-0.1[tex]g^{2}[/tex]+30g-1200=1500
0.1[tex]g^{2}[/tex]-30g+1500+1200=0
0.1[tex]g^{2}[/tex]-30g+2700=0
Dividing equation by 0.1.
[tex]g^{2}[/tex]-300g+27000=0
Solving the equation for finding value of g.
g=[300±[tex]\sqrt{300^{2} -4*1*27000}[/tex]]/2*1
=[300±[tex]\sqrt{90000-108000}] /2[/tex]
=[300±[tex]\sqrt{-18000}[/tex]]/2
Because [tex]\sqrt{-18000}[/tex] comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.
Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.
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Step-by-step explanation:
Problem 1
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Sunning itself on a cliff 5.8 feet above sea level. The iguana dove into the water from the cliff. When the iguana reached the deepest part of its dive, its total change in elevation was 8.3 feet. What was the iguana's position relative to sea level at the deepest part of its dive?
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Step-by-step explanation:
Given :
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Position relative to sea level at deepest part of dive :
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A. 6
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Answers
Answer:
b
Step-by-step explanation:
Answer:
To determine the value of X, what you would need to do is to use a trigonometric ratio, that would make use of the value of x and the side length of 12. This can either be, sin 30 or cos 60. Both of them will enable you to solve for x.
The final value for x would be either
X = 12/Sin 30
X = 12/Cos 60
Compute these in your calculator and you will find the final value in these cases.
tim played 20 games of draughts he won 16 of those games.what fraction of the game did he win
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Answers
Answers to both subparts are shown:
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The total number of games played is 30.The winning percentage is 68%.So, a number of games won:
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(A) The fraction of games Tim wins is 4/5.(B) Tim wind has 20 games when he plays 30 games.Know more about fractions here:
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The correct question is shown below:
(A) tim played 20 games of draughts he won 16 of those games.what fraction of the game did he win
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Can someone help me with this problem? 3[x(-6)]
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Answer:
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Step-by-step explanation:
First step: remove the parentheses.
So, you'll have -3x*6.
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
the same quadrant
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According to the given question
We have
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(1, 2) and (5, 2)
Let,
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And, [tex](x_{2},y_{2} ) = (5,2)[/tex]
Therefore,
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Answers
Step-by-step explanation:
If the whole thing is in a square root, then the answer is sqrt21.
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(esto es en español) (This is in spanish transalation)
Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.
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Answers
Answer:
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Step-by-step explanation:
Find the least common denominator of the two.
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This will be it>>>
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Step-by-step explanation:
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Answer:
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Answer:
36 girls voted for Marisol
Step-by-step explanation:
Find a slope for each line (each block is one unit):
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What is the answer to 3/8 + 2/4
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Answer:
1 1/2
Step-by-step explanation:
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2.) then you write a new expression with the numerator left blank and the denominator as 8 shown below in the step by step explanation. /8 + /8
3.)3/8 + 2/4 multiply by 1 both numerator and denominator for the first fraction. And multiply by 2 both numerator and denominator for the second fraction. 3/8 + 4/8.
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Answer:
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Step-by-step explanation:
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What is the solution to the equation below? √x+6 = x-6
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Answers
Answer:
√x+6=x-6
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x+6=x²-12x+36
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x²-10x-3x+30=0
x(x-10)-3(x-10)=0
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or
x=3
Answer:
D:X=10
Explanation
Graph a line with a slope of 1 and a y-intercept of 4.
Answers
Answer:
Step-by-step explanation:
Plot the y-intercept (0, 4). Starting at (0, 4), move your pencil point 1 space to the right, to (1, 4), and from (1, 4) up 1 space to (1, 5). Draw a straight line through (0, 4) passing through (1, 5) also.
how do you factor: 2x + -15
Answers
Answer:
It is not factorable.
Step-by-step explanation:
It is not factorable with rational numbers.
Answer:
This expression is not factorable with rational numbers.
Step-by-step explanation:
2x+(-15)=2x-15
Kyla wants to add songs to her phone to listen to while she is riding on the bus. She bought 100 songs on her account.She is planning to download an equal number of songs each week for the next 5 weeks. The number of songs left to download, y, for a certain number of weeks, c is shown in the graph.
A graph titled Song Downloading shows Number of Weeks on x-axis and Number of Songs Left to Download on y-axis. The x-axis scale is shown from 0 to 5 at increments of 1, and the y-axis scale is shown from 0 to 140 at increments of 20. A straight line joins the ordered pairs 0, 100 and 1, 80 and 2, 60 and 3, 40 and 4, 20 and 5, 0.
Part A: Determine the rate of change and the initial value (2 points) of the function show on the graph. What does each represent in the scenario (2 points)? Show/Explain the work you completed to find the rate of change and initial value (2 points).
Part B: Using the information from Part A, write the equation that would model this relationship between x and y in slope-intercept form. (4 points)
Answers
Answer:
Slope = - 20; intercept, c = 100
y = - 20x
Step-by-step explanation:
The slope (s) = Rise / Run
using the pairs : (0, 100) and (5, 0)
x1 = 0 ; y1 = 100 ; x2 = 5 ; y2 = 0
Rise = (y2 - y1) = (0 - 100) = - 100
Run = (x2 - x1) = (5 - 0) = 5
Slope = - 100 / 5
Slope = - 20
Using the slope intercept relation :
y = mx + c
m = slope ; c = intercept
y = - 20x + c
Using the point (4, 20) to find c
20 = - 20(4) + c
20 = - 80 + c
20 + 80 = c
100 = c
Hence, c = 100
Slope, m = number of songs downloaded per week
c = Total number songs at week 0
The equation expressed in slope intercept form:
General form:
y = mx + c
m = - 20 ; c = 100
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Please helpppp 15 points!!!
Answers
Answer:
105 students and 150 guests
Step-by-step explanation:
equation to find the answer are
1x + 5y = 855
x + y = 255
with
x + y = 255
x = 255 - y
now we replace x with (255 - y) into 1x + 5y = 855 to find y
1(255 - y) + 5y = 855
255 - y + 5y = 855
255 + 4y = 855
4y = 855 - 255
4y = 600
y = 150 (number of guests)
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x + y = 255
x + 150 = 255
x = 255 - 150
x = 105 (number of students)
(Please heart the answer if you find it helpful, it's a motivation for me to help more people)
1. Find the slope
>
X
18
8
10
24
0 -5
y
10
1 7
Rise =
Run =
m =
Answers
Answer:
I think the slope is y, but look for an expert opinion
Step-by-step explanation:
can anyone solve this
Answers
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified