Jocelyn owns a food truck that sells tacos and burritos. She only has enough supplies to make 150 tacos or burritos. She sells each taco for $4 and each burrito for $6.50. Jocelyn must sell at least $780 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:
We know that:
Price of a taco = $4
Price of a burrito = $6.50
x = number of tacos sold
y = number of burritos sold.
We must have that:
x + y ≤ 150 (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)
And also we know that she must sell at least $780, then:
x*$4 + y*$6.50 ≥ $780
Now we found the system of inequalities:
x + y ≤ 150
x*$4 + y*$6.50 ≥ $780
To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.
To graph them may be easier to write them as lines, you can do it as follows:
y ≤ 150 - x
y ≥ ($780 - x*$4)/$6.50
in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.
You can see the image below.
Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)
Then looking at the image, we can see that one solution can be the point
x = 20, y = 120
Related Questions
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
A.13 miles
3 hours
B.3 hours
13 miles
c.3 miles
13 hours
D.13/3 miles
1 hour
Answers
Answer:
Not sure what is asking,but if it is asking for the equation. Then it is 13/3.
Step-by-step explanation:
Then she needs to find her "heart rate reserve" h by subtracting her average resting heart rate
r from her maximum heart rate m. Write an equation she can use.
Answers
Answer:
What this makes no sense
Step-by-step explanation:
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answers
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Write the unit fraction depicted in the model as a percent.
One-fourth
Answers
Answer:
As
1/4×100 = 0.25×100
= 25%
Thus,
1/4 = 25%
Step-by-step explanation:
Given the fraction
1/4
In order to write the fraction 1/4 as a percent, all we need is to multiply 1/4 by 100.i.e.
1/4×100 = 0.25×100
= 25%
Therefore, we conclude that:
1/4 = 25%
if 24 pencils cost $1.20 how much will 6 cost
Answers
Answer:
30 cents
Step-by-step explanation:
24=1.20
6=x
Algebra here to solve.
1.20=24
x=6
Divide by 4
1.20÷4=$0.3
$0.3=30 cents
whats 58% of 200 Show your work
Answers
Answer:
116
Step-by-step explanation:
58% of 200 = [tex]\frac{58}{100}*200[/tex]
= 58 * 2
= 116
Answer:
[tex]58\% \: of \: 200 \: is \: 116[/tex]
Love, gocry
plz help 20 points hurry
Answers
Answer:
The GCF of the numerator and denominator in 15/24 is 3Step-by-step explanation:
I hope l helped you ❤❤❤Answer:
B. 3
Step-by-step explanation:
Well, since there are options we can use the Process of Elimination:
Can 15 and 24 be divided by 8? No, so 8 is not a choice
Can 15 and 24 be divided by 3? Yes, 5 and 8 so 3 is a choice
Can 15 and 24 be divided by 2? No, so 2 is not a choice
Can 15 and 24 be divided by 5? No, so 5 is not a choice
The only answer is 3
Which is the answer
Find the value of x and the measure
Answers
Answer:
39°
Step-by-step explanation:
Complementary angles sum up to 90°
< JKL + < RST = 90
36 + x + 15 =90
51 + x = 90
x = 39°
Baylee received a 36% on her puppy test. How many tricks did she get right if there were a total of 25 questions?
Answers
why: 25 x .36
Joshua and Brandon buying a pizza for their math class. They will spend $77. Joshua will pay six times more then Brandon. How much will Joshua pay?
Answers
Answer:
$66
Step-by-step explanation:
For this problem, we will simply write two equations to solve how much each person will pay.
Let x represent the amount of dollars joshua pays and y represent the amount of dollars brandon pays. Then we can say the following:
x + y = 77
x = 6y
Using these two equations, we can solve for how much Joshua will pay.
x + y = 77
6y + y = 77
7y = 77
y = 11
x + y = 77
x + 11 = 77
x = 77 - 11
x = 66
Hence, Joshua pays $66 and Brandon pays $11.
Cheers.
- 3/4f = 5/4
f = ??
find f
Answers
Answer:
the answer to that, f= -5/3
180.2
2. The sum of the measures of the interior angles of a convex polygon is 3060°.
Classify the polygon by the number of sides.
Answers
Answer:
enneadecagon
Step-by-step explanation:
A gallon of gasoline cost $3.00 last year, and now costs 5% more. What is the cost of a gallon of gasoline now?
a) 4.50
b) 3.15
c) 3.05
Answers
Answer:
B
Step-by-step explanation:
We know that Last year one gallon costs $3.00
and we also know that it costs %5 more this year.
We know that %100 is always the same which is $3.00
Then since we know $3.00 is %100, we can add %5 to %100 to get %105.
Then you multiply 105/100 by 3 then you will get 3.15 which is what B is
So that means our answer is B
What fraction is equivalent to 1/6
A. 3/8
B. 2/8
C. 3/24
D. 4/24
Answers
Answer:
C
Step-by-step explanation:
Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3
could i have branliest and a heart please
Have a good day :)
Amy has a collection of dimes and quarters. If the expression
V=0.25x+0.10y
represents the total value of the coins Amy has, the expression 0.10y
most likely represents the ...........
Answers
Answer:
the value of the dimes
Step-by-step explanation:
The expression 0.10y most likely represents the number of dollars when all dimes are clubbed together.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Amy has a collection of dimes and quarters. If the expression is given as,
V = 0.25x + 0.10y represents the total value of the coins Amy has.
The expression 0.10y most likely represents the number of dollars when all dimes are clubbed together.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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Julie collects antiques. She bought one antique for $300. Its current value is represented by the expression 300(0.75)',
where t is the number of years Julie has owned the antique. Is Julie's antique going up or down in value?
Julie's antique is going
in value.
Answers
Answer:
they are gonna go down in value
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
If the value in the perenthesis is a decimal it is an exponential decay.
x + 4 = -14 im frustraded i need an answer haha hewpppp
Answers
all u have to do is subtract 4! you do this because u want to isolate x so u subtract 4 from both sides. then you’ll have x= -18 !
Give the domain and range of the relation. Tell whether the relation. Tell whether the relation is a function.
Answers
Answer:
It is the 4th option. Domain -3 ≤ x ≤ 3. Range -2 ≤ y ≤ 2. This is not a function since it does not pass the vertical line test.
A number n is less than or equal to -7 or greater than 12.
Inequality: [ ] or [ ]
Graph the inequality.
Answers
Answer:
N ≤ -7 N > 12
Step-by-step explanation:
The inequality for the given statement is n≤-7 or n>12.
The given statement is a number n is less than or equal to -7 or greater than 12.
What is an inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.
Now the inequality for the given statement is n≤-7 or n>12.
Graph for the obtained inequality is plotted, given below.
Therefore, the inequality for the given statement is n≤-7 or n>12.
To learn more about an inequality visit:
https://brainly.com/question/20383699.
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The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today.
Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
Answers
The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
whats 3,648 dividing 91?
Answers
Answer:
40,08791209Step-by-step explanation:
Answer:
Assuming you meant 3,648/91 it would be 40.0989
Step-by-step explanation:
However if you meant 91/3,648 your answer would be 0.0249
The expression on the left side of an equation is shown below. Negative 6 x + 6 = box If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? –6 1 Negative 6 x Negative 6 x + 6
Answers
Answer:
The answer is -6x + 6
Step-by-step explanation:
For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side
Since we have -6x + 6 on the left hand side
To have infinite number of solutions, what we have on the right hand side will be the same
Thus, we have -6x + 6 on the second side
Answer:
It's D
Step-by-step explanation:
I just did it on edge
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answers
Answer:
$12,750
Step-by-step explanation: when you do the math you get it your welcome my G
find the missing measures
Answers
Answer:
8 cm and 28 cm
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
(i)
Here A = 48, b = AB and h = DE = 6 , then
AB × 6 = 48 ( divide both sides by 6 )
AB = 8 cm
(ii)
Here A = 252, b = PQ = 9 and h = RT , then
9 × RT = 252 ( divide both sides by 9 )
RT = 28 cm
1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
12,883 women finished and 163 dropped out. We want to use a 0.01 significance level to test
the claim that the rate of those who finish is the same for men and women.
a) Test the claim using a hypothesis test (identify the null hypothesis, alternative hypothesis,
test statistic, critical value (or P-value) and conclusion)
b) Test the claim by constructing an appropriate confidence interval.
Answers
Answer:
(a) Explained below.
(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Step-by-step explanation:
The information provided is:
n (Men who finished the marathon) = 25,221
n (Women who finished the marathon) = 12,883
Compute the proportion of men and women who finished the marathon as follows:
[tex]\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988[/tex]
The combined proportion is:
[tex]\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989[/tex]
(a)
The hypothesis is:
H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.
Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.
Compute the test statistic as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78[/tex]
Compute the p-value as follows:
[tex]p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075[/tex]
The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.
Thus, concluding that the rate of those who finish is the same for men and women.
(b)
Compute the 99% confidence interval for the difference between proportions as follows:
The critical value of z for 99% confidence level is 2.58.
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]
[tex]=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\[/tex]
Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
Answers
The expression is equivalent to 1
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
2cos²(x/2) - cos(x)
We know
cos x= 2cos²(x/2) + 1
2cos²(x/2) = cos x +1
Then,
2cos²(x/2) - cos(x)
= cos x +1 - cos x
=1
Learn more about this concept here:
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Answer: B.1
Step-by-step explanation:
I did it on edge
Joy bought 288 small pieces of candy to share with her friends. She divided the candy into 18 bags. One of the bags will be shared by two people, Lupe and Conner. If Lupe and Conner get the same number of candy pieces, how many pieces do they each get?
Answers
Answer:
32
Step-by-step explanation:
You must divide 288 by 18 and then double the answer you get.
Plz help I’m getting timed
Answers
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
Lucille has an aquarium with 9 gallons of water which weighs 85 pounds. The stand holding the aquarium can hold no more than 112 pounds. She wants to add 2.5-pound rocks, r, her tank. Complete the inequality to show how many rocks she can add.
Answers
Answer:
7.1
Step-by-step explanation:
Which of the choices best describes this arithmetic sequence?
-3, 1, 5, 9, 13,...
Answers
Answer:
Add by 4
Step-by-step explanation:
-3+4=1
1+4=5
5+4=9
9+4=13