At a local seaside, a vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50. The vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. For the afternoon he expects to sell no more than 50 ice-creams.
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of single cone ice cream and let y represent the number of double cone ice cream.
Since the vendor stocks a maximum of 70 single cones and a maximum of 45 double cones. hence:
0 < x ≤ 70, 0 < y ≤ 45 (1)
The vendor expects to sell no more than 50 ice creams, hence:
x + y ≤ 50
Plotting the constraint using geogebra online graphing tool, we can see that the solution to the problem is at (5, 45)
Since the vendor sells single-cone ice-creams for $3 and double-cone ice-creams for $4.50, hence:
Revenue = 3x + 4.5y
At the point (5, 45), the revenue is:
Revenue = 3(5) + 4.5(45) = $217.5
Related Questions
another easy math no scam links
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Answer:
Step-by-step explanation:
x = 8
What is the value of x if 4x - 2 < 26?
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Answer:
4x<28
x<7
x;(-infinite,7)
Solve for p.
2p + 1=1
5p + 6=7
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I hope it’s helps you :)
Answer:
-1/9
Step-by-step explanation:
We need to solve out and find out the value of p . The given equations is.
=> 2p + 1/ 5p + 6 = 1/7
=> 7 ( 2p + 1) = 5p + 6
=> 14p + 7 = 5p + 6
=> 14p - 5p = 6-7
=> 9p = -1
=> p = -1/9
• Hence the value of p is -1/9
Solve by completing the square.
x2 + 12x + 8 = 0
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A train travels 120 mi in 1 hour and 20 minutes. How many miles will the train go in 6 hours traveling at the same rate?
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Answer: 541.32 miles
Step-by-step explanation:
First find the speed of the train in miles per hour.
1 hour 20 minutes needs to be converted to decimal:
= 1 20/60
= 80/60
= 1.33 hours
Speed is:
= Distance / Time
= 120/ 1.33
= 90.22 miles an hour
If the train is traveling 6 hours at the above speed, it will travel:
= Speed * time
= 90.22 * 6
= 541.32 miles
PLEASE HELP!! Step by step if possible
Answers
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answers
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
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Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
Identify the equation of the circle B that passes through (4, -6) and has center (3, -2).
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Answer:
solution given :
centre (h,k)=(3,-2)
another point (a,b)=(4,-6)
now
radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17
We have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x-4)²+(y+6)²=17 is a required equation.
Which of the following topics is the Broadest?
Kyrie Irving's trade request
The movement of free-agent players
The NBA draft
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Answer:
Step-by-step explanation:
its nba and kyrie
Answer:
nba aND KYRIE
Step-by-step explanation:
Please help me pick the right answer
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....................................................................
Answer:
its C
Step-by-step explanation:
5x+2+4x-3=9x-1
hopefully its helpful
Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).
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Answer:
3(a+4)
Step-by-step explanation:
Pls help i know this should be easy but pls help i only have 1 point left after posting this
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Answer:
I think it will be
1. integer
2. whole
3. rational
4. rational
I'm not sure but I think this is correct
Step-by-step explanation:
Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills
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Answer:
There are 3 friends (Judy + 2 friends) who won $145.00
They want to share the winnings equally, but they got:
one $100 bill
four $10 bills
five $1 bills.
Assuming that they can share only those bills, the only way to share the winnings equally is:
Each friend gets one $10 bill
Each friend gets one $1 bill
Then each one gets $11.
And there is a surplus of:
one $100 bill (that can't be divided)
one $10 bill (that can't be divided)
two $1 bill (that can't be divided)
Then:
There is a common pool of $100 + $10 + 2*$1 = $112
And each one of the 3 friends gets $10 + $1 = $11
In the case where they can change the bills, each friend will get:
$145/3 = $48.33
Is 3 a solution to 3x + 5 = 5x + 6 - 2
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Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
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Answer:
Graph A ,appears to decrease less
Step-by-step explanation:
In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.
Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let graph A shows the product quality with number of faulty products over the period of months
And , let graph B shows the product quality with number of faulty products over the period of months
Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate
Hence , graph A is best for presentation
To learn more about equation of graph of polynomials click :
https://brainly.com/question/16957172
#SPJ7
which relation is also a function (i can’t get this wrong please help) 15 points
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Answer:
The answer is d
Step-by-step explanation:
this is because a , b and c all have multiple x vales with more then one y value .
What is 2^4 in standard form?
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Answer:
2^4=16
Step-by-step explanation:
2^4 is equal to 2x2x2x2 which is equal to 4x2x2 which is equal to 8x2 which is equal to 16. Therefore, 2^4 is equal to 16.
If this has helped you please mark as brainliest
Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?
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Answer:
189
Step-by-step explanation:
To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.
567 divided by 3 = 189
I hope this helps :DDDDDDDDDDD
PLEASE HELP IM BEGGINGG
What is the probability that a person whose name starts with the letter "J" will win the
presidency and the vice presidency? Write your answer as a simplified fraction.
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Answer:
theres a 66.67%
Step-by-step explanation:
Please help with very easy math teach me to understand and I'll give brainliest
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Answer:
B
Step-by-step explanation:
since a²+b²=c²
this is proven correct in answer B
As;
(8^0.5)² +(3)²=(17^0.5)²
Write the equation in slope intercept form for a line that has a slope or -5 and a y-intercept of (0,2)
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Answer:
y = -5x + 2
Step-by-step explanation:
y = -5x + b
2 = -5(0) + b
2 = 0 + b
b = 2
y = -5x + 2
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
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[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................Washington Middle School has a supply store for students. The graph shows the total sales of the supply store for each month over the school year.
525
450
375
Total Sales (dollars)
300-
225
150
75+
0
10
Month
What is the rate of change in total sales from month 8 to month 9?
O A. -100 dollars per month
OB. -75 dollars per month
C.-50 dollars per month
оо
OD. -25 dollars per month
Answers
Answer:
B??
Step-by-step explanation:
It is a little hard to understand because of hot it looks, BUT 300-225 is 75, 225-150=75, 150-75=75,75-70=75
The diameter of a circle is 13 ft. Find its area to the nearest tenth.
Answers
explanation:
a=(pi)r^2
a=(3.14)[(13/2)^2]
a=132.665
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
Answers
Given:
[tex](3x+7)^2[/tex] is subtracted from 3.
To find:
The result of the given statement in the standard form of the polynomial.
Solution:
We need to find the result when [tex](3x+7)^2[/tex] is subtracted from 3.
So, the resulted polynomial can be written as:
[tex]P(x)=3-(3x+7)^2[/tex]
On simplification, we get
[tex]P(x)=3-((3x)^2+2(3x)(7)+(7)^2)[/tex] [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]
[tex]P(x)=3-(9x^2+42x+49)[/tex]
[tex]P(x)=3-9x^2-42x-49[/tex]
[tex]P(x)=-9x^2-42x-46[/tex]
Therefore, the resulted polynomial in standard form is [tex]-9x^2-42x-46[/tex].
The ratio of two siblings current age is 1/2. In ten years the ratio of their ages will be 3/4. How old are they now?
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Answer: 3:5
Step-by-step explanation: heres the answer
Please help me!!!!!!!!!!!!
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Answer:
16.03
Step-by-step explanation:
Which is the value of (3+1)-(3-1)?
A. -1
o
B. 0
C. 2
C
D. 2i
O E 6+21
Answers
(3+1) equals 4
(3-1) equals 2
4-2=2
Please help me choose the right answer