The highest price per pizza in a profit of $100 is approximately $15.48
The profit equation is given by:
p = -5 [tex]x^2[/tex] + 100x - 250
Substitute p = 100 and solve for "x":
100 = -5 [tex]x^2[/tex]+ 100x - 250
To solve this quadratic equation, it can be rearranged it to standard form [tex](ax^2 + bx + c = 0)[/tex]
[tex]5x^2- 100x + 350 = 0[/tex]
Now, we can solve the quadratic equation using the quadratic formula:
[tex]x = \dfrac{(-b\pm \sqrt ({b^2 - 4ac)}}{2a}[/tex]
In our equation, a = 5, b = -100, and c = 350. Substitute these values into the formula:
x =[tex]\frac{(\sqrt{(-100)^2 - 4 \times 5 \times 350}}{2\times5}[/tex]
x= [tex]\dfrac{{100 \pm\sqrt{3000}}}{10}[/tex]
Thus, the two possible solutions for "x":
[tex]x_1[/tex] =[tex]\dfrac{100 + \sqrt{3000}}{10}[/tex]
[tex]x_2[/tex] =[tex]\dfrac{100 - \sqrt{3000}}{10}[/tex]
Calculating the values:
[tex]x_1[/tex]≈ 15.48
[tex]x_2[/tex] ≈ 4.23
The highest price per pizza that results in a profit of $100 is approximately $15.48 (rounded to two decimal places).
Learn more about equations here:
https://brainly.com/question/14686792
#SPJ4
please help me on this will give you brainliest!!
Answer:
AC = 36
Step-by-step explanation:
since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.
ef/bc = 5/45 (1/9) = ed/ba = 2/18 (1/9)
we can see the sides are in a ratio of 1:9, and plug it in the proportion
df/ac = 1/9
4/ac = 1/9
cross multiply and we get that ac = 36
Rodney decides to pay a $200 fee in 3
payments. The first payment is 10% of the
original fee. The second payment is 25% of the
original fee. Which expressions represent the
amount of money for the third payment?
Answer:
65% of the orginal fee or $130.
Step-by-step explanation:
You didn't put the answer options so I am not sure how you want the question to be answered. There are three ways I would write it:
1: 100% = 10% + 25% + 65%
2: 200 = 20 + 50 + 130
3: 200 = (0.1 x 200) + (0.25 x 200) + (0.65 x 200)
All of them basically mean the same thing it is just a matter of how you need it written.
Based on the amount to be paid and the percentage paid in each installment, the expression for the third payment is 65% x 200.
Rodney has to pay $200 in three installments.
The third installment will be:
= Percentage in total - Percentages paid already
= 100% - 10% - 25%
= 65%
The third installment is therefore:
= Percentage to be paid x Amount
= 65% x 200
Find out more at https://brainly.com/question/13198279.
3. If RT= 5x + 8 and Rz= 4x + 1 find ZT
Answer: ZT=9
Step-by-step explanation:
5x+8=2(4x+1)
PLZ HELP I MARK U BRAINLIEST
Answer:
8/9
Step-by-step explanation:
Make 4 as a fraction. It turns to 4/1
2/9 x 4/1 = 8/9
Carter is deciding between two different movie streaming sites to subscribe to. Plan A costs $19 per month plus $2 per movie watched. Plan B costs $31 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Carter watches xx per month, and let BB represent the monthly cost of Plan B if Carter watches xx movies per month. Write an equation for each situation, in terms of x, and determine the interval of movies watched, x, for which Plan A is cheaper than Plan B.
Answer:
19x+2x=AA
31x+0.50x=BB
Step-by-step explanation:
Answer:
A = 2x +19
B = 0.50x + 31
Plan A is cheaper than Plan B when x < 8 movies
Step-by-step explanation:
2x + 19 = 0.50x + 31
1.5x = 12
x = 8
Find the slope
Y=-x+2
Answer:
slope = -1
Step-by-step explanation:
take the equation: y = mx + b for slope-intercept
y is the input
m is the slope
x is the output
b is the y-intercept
when the slope is -1, it is seen and implied as -x.
what is the algebraic expression of
1 less than the quotient of 7 and a number x
Answer:
(7 ÷ x) - 1
Step-by-step explanation:
i tried, i tried
Which type of function are the following equations?
1. ƒ(x) = 4x^2
2. g(x) = 1 - x
Linear, Exponential or Quadric.
(You mau choose a different answer for each equation).
Answer:
1 quadric
2 linear
Step-by-step explanation:
plz make me brainliest
Christine buys a necklace that cost $18.62 and a ring that costs $7.98. She used a 35%-off coupon on the purchase. If Christine pays with a $20 dollar bill, how much change should she get back?
Solve for x. (6x - 7) (10x - 47)
Answer:
This is the answer!
Ratnam hired a car from a car renting agency which charges a flat amount of Rs x for travelling up to 40 kilometres and Rs. y per km for every kilometre travelled thereafter. How much should Ratnam pay the agency for a journey of 50 kilometres in Rs. ?
Answer:
Rs. X + Rs. 10y
Step-by-step explanation:
Charge for 40 km travel = Rs. x per km
Charge for every additional km traveled = Rs. y
Amount paid for 50 km
Fixed charge for 40km = Rs. X
Additional km = 50 - 40 = 10 kilometer
Total charge :
Rs. X + Rs. 10y
Which is the correct way to find the length of a line segment with endpoints (0,4) and (7,-9)?
Answer:
0 is Y 7 is X 4 is Y and -9 is X
Step-by-step explanation:
you can use Y and X to pin point the spots
Need help ASAP may have a reward
For you if you answer correctly :)
A.) 4
B.) -4
C.) 3
D.) -3
what is 652.42 rounded to the hundreds place
Answer:
650.00
Step-by-step explanation:
2 is the hundreds place but since its not 5 or over it will be 0
what number lies between -2 and -3
Answer:
-2.5?
Step-by-step explanation:
4x-9y+7x-3y-8x
.......
Answer:
3x-12y
Step-by-step explanation:
4x-9y+7x-3y-8x
group like terms
4x+7x-8x
11x-8x
=3x
-9y-3y
=-12y
combine terms
==3x-12y
Hope this helps! :)
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side KL. Round your answer to the nearest tenth.
Answer:
The answer is "31.888".
Step-by-step explanation:
When their respective angles were congruent or their side lengths have a constant relation, they know that two quadrilaterals are similar
FGHI is similar to JKLM because of quadrilateral
[tex]\to \frac{FG}{JK} =\frac{GH}{KL}=\frac{HI}{LM}=\frac{FI}{JM}\\\\\to \frac{GH}{KL} =\frac{HI}{LM}\\\\\to \frac{7}{KL}= \frac{9}{41}\\\\\to KL=\frac{7 \times 41}{9}=31.888\\\\[/tex]
Answer:
12.3
Step-by-step explanation:
Trust me I got it wrong
need help will give brainlist
Answer:
40
Step-by-step explanation:
Answer:
11 is the answer.
17.
The neighborhood park has a rectangular shape.What is the perimeter of the park?
Answer
There is not enough information given.
Explanation
All we know is that the neighborhood park has a rectangular shape. The length of each side is not defined. Without the length and width, you can't find the perimeter. There is not enough information given.
A wall and a tree are casting shadows as shown in the picture below. How tall is the tree?
Answer:
let my rat self say this, 24ft?
speaking:
I DON'T KNOW :,D
Please solve as soon as possible
Answer:
.75
Step-by-step explanation:
Because three divided by four is .75
Answer:
Question 22: 0.75 or 75%
Question 23: 5:2
Step-by-step explanation:
Question 22: 3 divided by 4 equals 0.75
Question 23:
2.5 = 2.5/1
2.5 × 10/10 equals 25/10
25/10 divided by 5 equals 5/2
5/2= 5:2
f(x) = (x + 1)²
what is the domain of f? please help
1. How do the heights of the chimpanzee and gorilla habitats compare to the height of the
orangutan habitat? Round all answers to the nearest hundredth of a yard. Show your work.
2. Label a point Z that is vertical to point X and horizontal to point Y. A string of lights is being hung
from point Z to the cable that connects the gorilla and chimpanzee habitats. The string of lights
will create a right angle with the cable. Determine the distance between point Y and the point
where the string of lights attaches to the cable. Round all answers to the nearest hundredth of a
yard. Show your work.
Answer: im confused on what your asking can u give me more detail.
Step-by-step explanation:
Solve for r in terms s, t, u, v.
su=rtv
Answer:
r = su/tv
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
su = rtv
Step 2: Solve for r
[Division Property of Equality] Divide tv on both sides: su/tv = rRewrite/Rearrange: r = su/tvWhat is the range of the data?
79, 52, 85, 94, 71, 82, 84, 66, 58, 98, 72, 100
A. 21
B. 48
C. 82
D. 100
Answer:
A. 21
Step-by-step explanation:
To find range you just take the highest number and subtracted by the lowest
Answer:
A
Step-by-step explanation:
Which are vertical angles? Check all that apply. ∠EAB and ∠BAC ∠EAB and ∠CAD ∠CAD and ∠FAE ∠CAB and ∠DAE ∠DAC and ∠DAE
*See attachment for the diagram
Answer:
B. ∠EAB and ∠CAD;
D. ∠CAB and ∠DAE
Step-by-step explanation:
Vertical angles are two angles formed directly opposite each other when two straight lines crosses or intercepts each other. Vertical angles are of equal measure to each other.
Thus, from the diagram given,
<CAD is vertically opposite to <EAB, also,
<CAB is vertically opposite to <DAE.
Thus, the vertical angles are:
∠EAB and ∠CAD;
∠CAB and ∠DAE
Answer:
B and D
Step-by-step explanation:
Hope it helps ^w^
select the correct answer from each dropdown menu. in the figure, the radius of the partial circle with center A is 4 feet.
The perimeter of the figure is A.____ feet, and the area of the figure is B.____ square feet. Assume =3.14, and round your answers to the nearest hundredth.
A.- 18.84 - 24.50 - 26.84 - 75.36
B.- 11.42 - 22.84 - 45.68 - 53.68
Answer:
Step-by-step explanation:
Part A: 24.50 feet, Part B: 46.68 square feet, I just took the test and got this right!
The perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.
What is Area of Circle?
In geometry, the area enclosed by a circle of radius r is πr². Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159
According to question, the radius of the partial circle with center A is 4 feet.
We have to find the perimeter and area of the figure.
Perimeter of the figure=2πr×[tex]\frac{3}{4}[/tex] +[tex]4\sqrt{2}[/tex]
=2×[tex]3.14[/tex]×[tex]4[/tex]×[tex]0.75+4[/tex]×[tex]1.414[/tex]
[tex]=24.50[/tex]
Area of figure=[tex]\frac{3}{4}[/tex] πr²+[tex]r^{2}[/tex]×[tex]\frac{1}{2}[/tex]
=[tex]0.75[/tex]×[tex]3.14[/tex]×[tex]16[/tex][tex]+16[/tex]×[tex]0.5[/tex]
[tex]=37.68+8[/tex]
[tex]=45.68[/tex]
Hence, we can conclude that the perimeter of the figure is [tex]24.50[/tex] and area of the figure is [tex]45.68[/tex] square feet.
Learn more about area of circle here:
https://brainly.com/question/23328170?referrer=searchResults
#SPJ2
pls help i am on a timer
Answer: (x-6)(x+1)
Step-by-step explanation:
Sum : x2 − 5 x- 6
x2 + x-=6 x − 6
factor pair: x 2 + x − 6 x − 6
x( x+ 1 ) − 6 ( x + 1 )
rewrite from: x (x + 1 ) − 6 ( x + 1 )
(x-6)(x+1)
Answer:
A: (x-6)(x+1)
Step-by-step explanation:
We need to find 2 numbers that add to make -5 and multiply to make -6.
We already have the numbers infront of us, so by process of elimination we can remove B and D.
For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.
If we expand A, it makes the expression that needs to be factorised because...
-6 × 1 = -6
-6 + 1 = -5
So expanding it properly we get.
x² - 6x + x - 6
Simplify.
x² - 5x -6
What steps would you use to solve this equations for x? *
Answer:
x=-24
Step-by-step explanation:
Multiply both sides by 4 to get x=-24
[tex]\\ \rm\hookrightarrow -6=\dfrac{x}{4}[/tex]
Multiply 4 on both sides
[tex]\\ \rm\hookrightarrow x=-6(4)[/tex]
[tex]\\ \rm\hookrightarrow x=-24[/tex]
11 5/10 minutes =
Kevin had 11 minutes and ____ seconds for question C.
Answer:
Kevin had 11 and 30 seconds.
kalfhvbweocnsliydsaieakywcronuosudzopvnrcidsvjrk hope this helps..?