Colton owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3.75 and each burrito for $6. Colton must sell at least $540 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
Answer:
Inequality 1) y≤120−x; shade down
Inequality 2) y≥90−0.625x; shade up
Possible solution: (10,100)
*Colton could sell 10 tacos and 100 burritos.
Step-by-step explanation:
Hope I helped ^u^
Colton can sell 20 tacos and 100 burritos.
What is inequality?An inequality is a relation between two numbers or expressions that are not equal. It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.
Given that, Colton can make 120 tacos or burritos in total, the taco for $3.75 and each burrito for $6, He must sell at least $540 worth of tacos and burritos each day,
Establishing the inequality,
x + y ≤ 120............(i)
3.75x + 6y ≥ 540
0.625x + y ≥ 90...........(ii)
Plotting the graph, the solution will be the portion covered by both the inequality.
One of the possible solution is = (20,100)
Hence, Colton can sell 20 tacos and 100 burritos.
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Answer:
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erold’s weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate his new weekly pay rate? Select all that apply.
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Step-by-step explanation:
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On the windowsill is a plant that is 10 inches tall. It is growing 3 inches per
week. A second plant, which is 17 inches tall, is on the coffee table. It is
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Answers
Answer:18 days
Step-by-step explanation:
Here's a short table of heights:
day 0: height = 1
day 1: height = 1 + (1/2)(1) = 3/2
day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2
The pattern of heights is ...
(day, height) = (0, 1), (1, 1.5), (2, 2)
The plant is growing 1/2 its original height each day, so we can write the equation ...
h = 1 + d/2
We want to find the number of days (d) that result in a height of 10 (ten times the original height).
10 = 1 + d/2
9 = d/2 . . . . subtract 1
18 = d . . . . . multiply by 2
It took 18 days for the plant to grow to 10 times its original height.
Answer:
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Step-by-step explanation:
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Answers
Answer:
[tex]66.05[/tex]
Step-by-step explanation:
Cost of meal = [tex]64.75[/tex]
Cost of meal after discount of [tex]15\%[/tex]
[tex]64.75-64.75\times 0.15[/tex]
[tex]=64.75(1-0.15)[/tex]
[tex]=55.0375[/tex]
Cost of the meal after tip of [tex]20\%[/tex]
[tex]55.0375\times (1+0.2)[/tex]
[tex]=66.045\approx 66.05[/tex]
The total cost of the meal was [tex]66.05[/tex].
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Answers
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A 2-bedroom apartment that rents for $520 a month is $40 less than twice the cost of a 1-bedroom apartment. What is the monthly rent of a 1-bedroom apartment?
Answers
Answer:monthly rent of a 1-bedroom apartment= $280
Step-by-step explanation:
Let the cost of 1 bed room apartment = x
And the cost of two bedroom apartment= 2x-40
Since the cost of of two bedroom apartment = $520
Then the cost of one bed room part will be expressed as
520= 2x- 40
520+40 = 2x
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A rental car company offers a rental package for a mid-size car. The cost is comprised of a fixed $40 administrative fee for the cleaning and maintenance of the car plus a rental cost of $45 per day. Using x for the number of days and y for the total cost in dollars, construct a linear function to model the relationship between the number of days and the total cost of renting a mid-size car.
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
In Philadelphia, you would pay:
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In Atlanta:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Answers
Answer:
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Step-by-step explanation:
The perimeter of two similar polygons are in the ratio 1:25. If the length of one side is the smaller polygon is 3 centimeters what is the length of the corresponding side?
Ratio is given as:
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1 : 25
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Answers
Answer:
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Step-by-step explanation:
Chris earns the commission on the jewelery sales. To calculate what he earned, multiply the commission rate and his sales.
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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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A:
B:
C:
D:
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Answers
Answer:
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✔ negative
number.
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5. negative
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
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Will give brainliest to correct answer
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A.X?
+
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B.
x
+ =1
225 99
c.
x
+
225
324
D.
x?
+
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1
Answers
Answer:
The answer is b
Step-by-step explanation:
Answer: The answer is B
Step-by-step explanation:
I don't know how to explain it but I am sorry if it is wrong
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Answers
Answer:
686
Step-by-step explanation:49 times 14
Answer:
Take 49×14 which equals 686. Mrs.Haskin has 686 tomatoes in her garden.
30 miles to kilometres
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Answer:
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Step-by-step explanation:
Answer:
48.2803
Step-by-step explanation:
I need help! 50 points + brainliest
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x = ±3
x = 3
x = -3
x = ±9
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h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)
Answers
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]
And that:
[tex]h(x)=f(x)/g(x)[/tex]
And we want to now for which values of x is h(x) undefined.
So, by substitution:
[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
[tex]x^2-9=0[/tex]
Add 9 to both sides:
[tex]x^2=9[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
[tex]x=\pm 3[/tex]
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]
And we want to find:
[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]
So:
[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]
Distribute:
[tex]h(x)=3^x-3^{2x}+3^x[/tex]
Combine like terms:
[tex]h(x)=2(3^x)-3^{2x}[/tex]
Rewrite:
[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]
Factor out:
[tex]h(x)=3^x(2-3^x)[/tex]
So, our answer is C.
Jim had a collection of 24 state quarters. He poured 10 of them onto the table and noticed the years that the quarters were produced,
as shown below.
2004, 2006, 2009, 2003, 2001, 2001, 2006, 2006, 2004, 2003
Assuming that the sample was representative of the collection, what was the mode of the year that the quarters were produced?
Answers
Answer:
2006
Step-by-step explanation:
you would subrwct them
Page Break
3 A small photograph has a width of 4 cm and a length of 6 cm
Dean enlarges the small photograph
The enlarged photograph has a length of 21 cm
Work out the width of the enlarged photograph
Answers
Answer:
14 cm
Step-by-step explanation:
Given that the width is 4 cm and the length is 6cm. If after enlargement, the length becomes 21 cm, the multiplier or factor of enlargement x may be computed as
6 * x = 21
Divide both sides by 6
x = 21/6
= 7/2 = 3.5
Hence increasing the width by the same factor, the width of the enlarged photograph will be
= 3.5 * 4 cm
= 14 cm
Write an equation for the line that passes through (-8.5, 11) and (5, -2.5).
Answers
9514 1404 393
Answer:
y = -x + 5/2
Step-by-step explanation:
The 2-point form of the equation of a line can be useful.
y = (y2 -y1)/(x2 -x1)/(x -x1) +y1
y = (-2.5 -11)/(5 -(-8.5))/(x -(-8.5)) + 11
y = -13.5/13.5(x +8.5) +11 . . . . . . simplify a bit
y = -x +2.5 . . . . . write in slope-intercept form
01:59:16
C C E
Martina rolls a fair, 6-sided number cube 10 times and records the proportion of 3s rolled. She repeats this process
of rolling the number cube 10 times and recording the proportion of 3s rolled many, many times. She then makes a
histogram of the results. This histogram approximates
the bias, if any.
O a Normal curve,
the population distribution.
o the distribution of sample data.
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Answer:
(B) a Normal curve.
Step-by-step explanation:
Because of the central limit theorm, the histogram will become more and more Normal as n ( the smaple size) gets larger.