Kaylee owns a food truck that sells tacos and burritos. She only has enough supplies to make 120 tacos or burritos. She sells each taco for $3 and each burrito for $6. Kaylee must sell at least $480 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answers
The system of inequalities is:
x + y ≤ 120
x*3 + y*6 ≥ 480
And one possible solution to it is x = 20 and y = 80.
How to find the system of inequalities?
First, we need to define two variables, we will be using:
x = number of tacos.y = number of burritos.We know that she can make at most 120 units, then:
x + y ≤ 120
And she wants to win at leastt $480, then:
x*3 + y*6 ≥ 480
So our system of inequalities is:
x + y ≤ 120
x*3 + y*6 ≥ 480
And the graph can be seen in the image below, the solution set of the system is given by the region where both shaded areas intersect.
There we can see that one possible solution is x = 20 and y = 80, in that case the total number of items made is:
20 + 80 = 100, which is less than 120
And the income is:
20*3 + 80*6 = 540.
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Related Questions
Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?
Answers
The initial amount that Taylor receive initially is $1500.
How to calculate the value?Based on the information given, the following can be illustrated:
Interest = 1500
Time = 4 years
Rate = 2.5%
Principal = Unknown
Interest = PRT/100
1500 = (P × 4 × 2.5)/100
150000 = 10P
Divide
P = 150000/100
P = 1500
The initial amount is $1500.
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1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation
Answers
Change in Rosa's elevation from starting to end of her hike is 692 feet.
What is elevation in a hike?
Elevation is the height of hiker above the sea level at any point of the hike.
At the starting of the hike , Rosa was at an elevation of = -600feet
At the ending of the hike, Rosa is at an elevation of = 92 feet
Change in elevation = final elevation - initial elevation
= 92-(-600) = 692 feet
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can someone answer this please
Answers
prove that the set of all xy=0 in R^n is not an open set
Answers
the set of all x y = 0 in R is not an open set.
x y = 0 in R is possible if
either x= 0y =0x = y = 0So, the contains (0,0) , (0, any real number) ,...…..,
(any real number, 0) ,...…..
So, the set is not an open set.
Hence proved.
Therefore, the set of all x y = 0 in R is not an open set.
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(13 + 7 ^ 2 / 7)/(9 - 20/4 - 16)
Answers
Answer:
-5/3
Step-by-step explanation:
= (13+7*7/7)/(9-20/4-16)
= (13+7)/(9-5-16)
= 20/(-12)
= -5/3
What are the vertex and x-intercepts of the graph of y = x2 – 4x – 21? Select one answer for the vertex and one for the x-intercepts. A. x-intercepts: (–3, 0), (7, 0) B. x-intercepts: (3, 0), (7, 0) C. x-intercepts: (3, 0), (–7, 0) D. Vertex: (2, 13) E. Vertex: (2, –25) F. Vertex: (–2, –9)
Answers
Answer:
To find x-intercept ,let y=0
0=x²-4x-21
(x+3)(x-7)=0
x=-3 or x=7
(-3;0) or (7;0)
To find vertex
x=
[tex] \frac{ - b}{2a} = x[/tex]
x=4/2=2
y=(2)²-4(2)-21=-25
(2;-25)
choose A and E
1/(x+1) = -1/ x-1
true or false
Answers
Answer:
False
Step-by-step explanation:
it would be positive, not negative.
Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?
Answers
The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.
How to calculate the function?Based on the information given, let the number of hours be represented by h
Therefore, the first function for Michael will be:
96 + 12h
The second function for Greg will be:
= 128 + 10h
Therefore, we'll equate both equations. This will be:
96 + 12h = 128 + 10h
12h - 10h = 128 - 96.
2h = 32.
h = 32/2
h = 16 hours.
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Complete the statement.
x(y + 5) = x(__) + x(__)
Answers
Answer:
x(y + 5) = x(y) + x(5)
Step-by-step explanation:
Multiply the x to the variable and number in the parenthesis.
Can also be written xy + x5.
It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
Answers
The time it takes to walk from the first floor to the sixth floor is 132.5 seconds.
What is a division?The division is a process of splitting a specific amount into equal parts.
We have,
To walk from the first floor to the third floor it takes 53 seconds.
From the first floor to the third floor there are two floors.
So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.
We have,
= 53 / 2
= 26.5 seconds
There are 5 floors from the first floor to the sixth floor.
So the time it takes to walk from the first floor to the sixth floor is:
= 26.5 x 5
= 132.5 seconds
We can also say that,
132.5 seconds = 2.20 minutes = 2 minutes 12 seconds
Thus the time it takes to walk from the first floor to the sixth floor is132.5 seconds.
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what are the missing lengths for the triangle 45 45 5v2
Answers
3.5355339 cm are the missing lengths for the right triangle.
What is right triangle ?
A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs
n√2=5
n=5/√2
multiply both terms by √2
n=5√2/2, or...
n=2.5(1.4142136)
n=3.5355339 cm (round as needed)
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The complete question is -
The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.
8. Gavin goes to the market and buys one rectangle shaped board. The
length of the board is 16 cm and width of board is 10 cm. If he wants to add
a 2 cm wooden border around the board, what will be the area of the
rectangle board?
Answers
160 cm² is the area of the rectangle.
What do we mean by rectangles?A rectangle is a closed two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The word rectangle is derived from the Latin word rectus, which means "right" or "straight." A rectangle has straight sides due to its right angles.Rectitude, which means moral uprightness, is another word with the same root.The formula for the area of a rectangle:
l × bPut values in the formula:
= 16 × 10= 160 cm²Therefore, the area of a rectangle is 160 cm².
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Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?
Answers
Answer: 25 students
Step-by-step explanation:
Answer:
25 students
Step-by-step explanation:
83 lollipops - the 8 remaining lollipops = 75 lollipops
75 lollipops ÷ 3 ( the amount he gave to each student) = 25
3 lollipops per person
3 * 25 people = 75 + 8 (remaining)
Can someone please find x ?
[tex]\frac{4}{3} x- \frac{1}{3} = x + 7[/tex]
Answers
the value of x in the question is 22
How to determine the value of x?The equation is given as
4/3x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
Collect the like terms
4x - 3x = 1 + 21
Evaluate
x = 22
Hence. the value of x in the question is 22
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What is (-2/3)+(7/8)?
Answers
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=
[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=
[tex]\frac{-2*8+7*3}{24}[/tex]=
[tex]\frac{-16+21}{24}[/tex]=5/24
9 divided by 836 step by step
Answers
Answer: 92 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
836/9=
(800+36)/9=
800/9 + 36/9=
800/9 + 4 =
(792+8)/9 + 4=
792/9 + 8/9 + 4=
88 + 8/9 + 4=
88+4+8/9=92 [tex]\frac{8}{9}[/tex]
Idrk what to name this but- just only answer if you are sure
Answers
Answer:
Put it on calculator
Step-by-step explanation:
Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70
If you don't understand don't be shy to ask you should learn from your mistakes
Answer:
C. 70%
Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)
whats a equivalent expression for the square root of 13 x the square root of 13
Answers
Answer:
[tex]2(13^{2})[/tex]
Step-by-step explanation:
[tex]13^2 + 13^2 = 13^2[/tex] x [tex]2 = 2(13^2)[/tex]
We can check the work.
[tex]13^2 +13^2= 169 + 169 = 338\\\\\\2(13^2)= 2(169)= 338[/tex]
7.8 x 10 3
--------------
1.2 x 10 4
Answers
Step-by-step explanation:
7.8 ×1000=7800.
1.2×10000=12000.
7800÷12000=0.65.
What is the ones digit in the number 2^2076Hint: Start with smaller exponents to find a pattern.
Answer
Answers
Answer:
Step-by-step explanation: i think 9 the 9 is in one digits
I need help for the Wednesday one
Answers
Answer:
Seth is correct.
Step-by-step explanation:
Complementary means that they add to 90 degrees. Supplemental means that they add to 180. 147 + 33 equals 180 so they are supplemental.
At Gabby's family reunion, Gabby hands out watermelon for the annual seed-spitting contest
She gives a watermelon slice to each kid at the reunion. She also gives a slice to 25 adults.
Gabby hands out 55 watermelon slices in all.
Which equation can you use to find how many kids k are at the reunion?
k - 25 = 55
k
25
= 55
k + 25 = 55
25k = 55
Solve this equation for k to find how many kids are at the reunion.
Answers
The equation which can be used to find how many kids k are at the reunion is :k + 25 = 55
There are 30 kids at the reunion
What is algebraic expression?
Algebraic expressions are based on expressing numbers using letters without indicating their actual values, such that we can determine the unknown variables by solving the expression or equation.
The total number of watermelons in this case is 55, if 25 slices are handed to the adults in the reunion gathering, the remaining one is the difference between 55 and 25 already served, which is known as k in this case.
total number of watermelons=55
number of adults=25
number of kids given watermelon=k
i.e k+25=55
k=55-25
k=30
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B is between A and C. If
AB=x+4 , BC=2x−2 , and AC=4x−1 , what is AB?
AB= (geometry someone help)
Answers
If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
The point B is between A and C
AB = x+4
BC = 2x-2
AC = 4x-1
We know,
AC = AB + BC
Substitute the value in the equation and find the value of x
4x-1 = x+4 + 2x-2
4x-1 = 3x-2
4x-3x = -2+1
x = -1
Then,
AB= x+4
Substitute the value of x in the equation
AB = -1+4
AB = 3 units
Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
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Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answers
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64
Answers
Answer: The 48 0z of jelly for 8.64
Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9
Answer:
48 Oz of jelly for $8.64
Step-by-step explanation:
16oz of jelly is $3.30 x 3 =$9.90
Rieko has 10 pounds of nails. She divides the nails equally among 3 bags. How many pounds of nails does Rieko place in each bag?
Answers
A division is a process of splitting a specific amount into equal parts. The number of pounds Rieko place in each bag is 3.33 pounds.
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
Rieka has 10 pounds of nails and wants to divide it equally among 3 bags.
We need to divide the 10 pounds by 3.
The number of pounds in each bag:
= 10 pounds / 3
= 3.33 pounds
Thus the number of pounds in each bag is 3.33 pounds.
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Find the sum of 0.55 and 0.41 i need help
Answers
Help!! Find the domain of the graphed function.
Answers
if you were to look at the x coordinates from any point in the function, it’s always more than 0 (the first point is 0). every x point is greater than 0 so it can’t be all real numbers since that would include negative x coordinates
I need help with cumulative frequency pleaseee!!
Answers
The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.
The CFs for the given grade ranges are
• ≤ 49 :
9/67
• ≤ 59 :
9/67 + 10/67 = 19/67
• ≤ 69 :
9/67 + 10/67 + 10/67 = 29/67
• ≤ 79 :
9/67 + 10/67 + 10/67 + 14/67 = 43/67
• ≤ 89 :
9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67
• ≤ 100 :
9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1
On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?
Answers
Answer:
the answer is 136 miles