Your parents decide that they will help you out the first two months you are at college
by helping you buy groceries for your meals, but they won't cover the cost of you going
out to eat at restaurants or fast food.
for the first month you submit your receipts, 13 are for fast food and four for kroger, and
totaled $487. the second month you submit receipts for six fast food meals and two for
kroger, and totaled $232. the receipts do not list the per-item price.
a. write the two equations for the cost of buying groceries and meals. (4 points)
• 13f + 4k = 487
• 65+2k = 232
i
b. what were the average costs of one fast food meal and of one trip to kroger?
show your work and justify your thinking. (6 points)
Answers
a. The two equations for the cost of buying groceries and meals are 13f + 4k = 487 and 65+2k = 232
b. The average costs of one fast food meal and of one trip to kroger is $77.33
To calculate the average cost, we divide the total cost by the number of meals or trips. For example, in the first month, the total cost of fast food meals and grocery trips was $487, and there were 13 fast food meals and 4 grocery trips. Therefore, the average cost of a fast food meal can be calculated by dividing the total cost of fast food meals ($487) by the number of fast food meals (13):
Average cost of a fast food meal = $487 / 13 = $37.46
Similarly, we can calculate the average cost of a grocery trip in the first month by dividing the total cost of grocery trips ($487 - total cost of fast food meals) by the number of grocery trips (4):
Average cost of a grocery trip = ($487 - $37.46 x 13) / 4 = $89.38
Using the same method, we can calculate the average cost of a fast food meal and a grocery trip in the second month. In the second month, the total cost of fast food meals and grocery trips was $232, and there were 6 fast food meals and 2 grocery trips. Therefore, the average cost of a fast food meal is:
Average cost of a fast food meal = $232 / 6 = $38.67
And the average cost of a grocery trip is:
Average cost of a grocery trip = ($232 - $38.67 x 6) / 2 = $77.33
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Related Questions
Jordin worked 23 hours and 15 minutes. He's paid $13.00 an hour. How much will he get paid?
Change minutes to hours then multiply.
This is pay, so round all answers to the nearest cent if necessary. Two decimal places
Answers
Jordin after working for 23 hours and 15 minutes would be paid $302. 25
How to determine the amountFrom the information given, we have that;
Jordin worked for 23 hours + 15 minutesHe get paid $13.00 per hourLet's convert the minutes to hour
60 minutes is equivalent to 1 hour
Then 15 minutes is equivalent = x hour
cross multiply
x = 15/ 60
x= 0. 25 hour
He worked = 23 + 0. 25 = 23.25 hours
Then,
$13. 00 = 1 hour
$x = 23. 25
cross multiply
x = 13 × 23. 25
x = $302. 25
Thus, Jordin after working for 23 hours and 15 minutes would be paid $302. 25
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Using number line, add the following integers: (−3) + (5) + (−7)
Answers
Answer:
Step-by-step explanation:
If you want to add a positive integer, jump right side and if you want to add negative number, then jump left side.
-3 + 5 = 2
2 +(-7) = -5
1. (20) set up a triple integral for evaluating ∭(−) where e is enclosed by the surfaces =2−1,=1−2,=0, and =2.
Answers
The main answer in one line is: \(∭(−) dV = ∭ e (2 - x - y) dV\)
To set up the triple integral for evaluating \(∭(−),\) where e is enclosed by the surfaces = 2−1, = 1−2, = 0, and = 2, we can use the concept of triple integrals in Cartesian coordinates. The given surfaces define a region in three-dimensional space.
The triple integral can be expressed as \(∭(−) = ∭∭∭ (−)\)dxdydz, where the limits of integration are determined by the bounds of the region enclosed by the surfaces.
For this particular problem, the region is enclosed by the surfaces = 2−1, = 1−2, = 0, and = 2. Therefore, the limits of integration for x, y, and z are as follows: \(1 ≤ x ≤ 2, -2 ≤ y ≤ -1,\) and \(0 ≤ z ≤ 2.\)
Substituting these limits into the triple integral expression, we get the final setup: \(∭∭∭ (−)\)dxdydz, where the limits of integration are 1 to 2 for x, -2 to -1 for y, and 0 to 2 for z.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=17 degrees
Step-by-step explanation:
All 3 angles = 180 degrees
So 90 + 54 + (x+19) = 180
Combine like terms
163 + x = 180
Subtract 163 from both sides
x = 180-163
x = 17
Solve please! :) The values of m n k respectively.
Answers
Answer:
1,6,2 and 5
Step-by-step explanation:
(2x/5)² . (1x⁴/4)^-1
=(2²x²/5²) . (4/x⁴)
=4x²/25 × 4/x⁴
= 16/25x²
Haematuria + frequency + dysuria what is the diagnosis and investigations?
Answers
To make a diagnosis, a healthcare provider may perform a physical exam, ask about the patient's medical history, and order diagnostic tests such as a urinalysis, urine culture, blood tests, or imaging studies (e.g. ultrasound, CT scan) to determine the underlying cause of the symptoms.
Treatment will depend on the underlying cause of the symptoms, but may include antibiotics for a UTI, pain medication, or other interventions as needed. It is important to seek medical attention promptly if you experience these symptoms to ensure that you receive appropriate treatment.
Your house is at point c. a post office is located directly west of your house at point d. let point e represent your school,
which is directly west of the post office. find the distance from your house to your school if cd = 1.7 miles and de = 2.4
miles.
a 3.1 miles
b. 41 miles
c. 4.3 miles
d. 5.1 miles
Answers
The distance between your house and school is 4.1 miles.
According to the given question.
Point c represents your house.
Point d represents post office which is directly west to the point c i.e from house.
And point e represents school which is west of the post office.
Also, it is given that the distance between house and post office, cd is 1.7 miles.
And the distance between the post office and school,de is 2.4 miles.
Now, if we see the attached figure we can say that
cd + de = ce
⇒ 1.7miles + 2.4miles = 4.1 miles
Hence, the distance between your house and school is 4.1 miles.
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Given the figure below, find the values of x and z
Answers
Answer:
z = 60 and x = 4.25 or 17/4
Step-by-step explanation:
Z = 60°
8x + 86 = 180-60
8x + 86 = 120
8x = 120 - 86
8x = 34
x = 4.25 or 17/4
Kenny reads 5/9 page in 3/5 minutes?
Kenny’s unit rate is _ page per minute.
Answers
Answer: Kenny's unit rate, in pages per minute, is 0.741.
Step-by-step explanation:
Kenny's unit rate in page per minute is given by the following formula:
In which P is the number of pages and is the number of minutes.
4/9 page in 3/5 minute
So
Kenny's unit rate, in pages per minute, is 0.741.
Answer:
15/16
Step-by-step explanation:
15/16
convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9
Answers
Answer:
I dont need
Step-by-step explanation:
what to convert
Which of the following ratios are equivalent
A) 4/6 and 8/6
B) 11/7 and 22/14
c) 8/7 and 16/12
D) 1/3 and 3/2
Answers
Step-by-step explanation:
b is the equal ratios just divide 22 and 14 with 2 you gonna get you answer easily
Answer:
a) 4/6 is not equivalent to 8/6.
b) 11/7 is equivalent to 22/14
c) 8/7 is not equivalent to 16/12
d) 1/3 is not equivalent to 3/2
Step-by-step explanation:
a) 4/2 8/2
----- : ---------
6/2 6/2
= 2/3 is not equal to 4/3, therfore they are not equivalent ratios.
b) 11 * 2
-------- = 22/14
7*2
= Therefore, 11/7 is equivalent to 22/14.
c) 8*2
-------- = 16/14
7*2
= Therefore, they are not equivalent ratios.
c 1*3 3/9, Therefore, they are not equivalent ratios...
------ =
3*3
I hope this helps !!!
Please mark it as Brainliest!!!
you have 8 red roses and 4 yellow rose. if you line them up in a row, how many different arrangements can you get
Answers
There are 27,720 different arrangements of red and yellow roses.
The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:
n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to arrange.
In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:
12! / (12 - 8)! = 12! / 4! = 27,720
So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.
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a = 4.2 × 10^-24 b = 3 × 10^145 (a) Work out the value of a × b Give your answer in standard form.
Answers
The value of a x b = 1.26 x 10¹²² in standard form for the given values of a and b.
What is scientific notation?In a condensed form, extremely big or very small numbers can be written using scientific notation. It is made up of a power of 10 multiplied by a number (referred to as the coefficient), which ranges from 1 to 10. The number of zeros in the starting number is represented by the power of 10. Since it makes it simple and straightforward to represent extremely big or extremely small quantities, scientific notation is helpful. As it is simple to compare and work with numbers of different orders of magnitude, it is also frequently used in science and engineering to convey measurements and other quantities with a high degree of precision.
a x b = (4.2 x 10⁻²⁴) x (3 x 10¹⁴⁵)
= 12.6 x 10¹²¹
12.6 is not in standard form, we can express it as 1.26 x 10¹
a x b = 1.26 x 10¹ x 10¹²¹
= 1.26 x 10¹²²
Hence, the value of a x b = 1.26 x 10¹²² in standard form.
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The ratio of C:D is 5:3, the ratio of F:D is 6:1.
Find the ratio of C:D:F.
Answers
The ratio of C:D:F is 5:3:18.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
The ratio of C:D is 5:3,
the ratio of F:D is 6:1.
i.e. F:D= 18:3
now,
C:D:F= 5:3:18.
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Steven owns a restaurant that specializes in steakburgers 4 burgers and 3 fries cost $24.50. if a burger costs $5, how much is each order
Answers
Answer:
As we know each burger costs $5
There are 4 burgers
When you do 4×5 you will get 20
Now subtract that 20 from the total cost
24.50-20=4.5
$4.5 is how much it costs for 3 fries
If you're wanting to calculate the number for one thing of fries then divide that 4.5 by 3
4.5/3=1.5
For one thing of fries it will cost $1.5
I hope this helps :)
In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
Answers
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
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For the following the equation f(A,B,C,D)=(A+B+D
′
)(A
′
+C)(C+D) 1. Find the expansion for the function 2. Find the minterms SOP with K-map 5.16 Plot the following function on a Karnaugh map (K-map) and find the minimum sum of products for the function f(A,B,C)=∑m(2,3,5,7) 5.17 Plot the following function on a Karnaugh map (K-map) and find the minimum Sum of products for the function F(A,B,C,D)=A
′
B
′
+CD
′
+ABC+A
′
B
′
CD
′
+ABCD
Answers
We can group the minterms to obtain the minimum sum of products (SOP):
F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD
Expansion of the function f(A,B,C,D):
f(A,B,C,D) = (A+B+D')(A'C)(C+D)
= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)
= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D
= BA'C + BC + BD'A'C + BD'C + BD'D
Minterms SOP for the function with K-map 5.16:
The truth table for the given function is:
A B C F
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1 1
The K-map for this function is:
BC
A 00 01 11 10
0 | 0 1 0 1
1 | 1 0 0 1
We can group the minterms to obtain the minimum sum of products (SOP):
F(A,B,C) = A'B' + A'C + BC
Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:
The truth table for the given function is:
A B C D F
0 0 0 0 0
0 0 0 1 1
0 0 1 0 0
0 0 1 1 0
0 1 0 0 1
0 1 0 1 0
0 1 1 0 1
0 1 1 1 1
1 0 0 0 0
1 0 0 1 0
1 0 1 0 0
1 0 1 1 0
1 1 0 0 1
1 1 0 1 1
1 1 1 0 1
1 1 1 1 1
The K-map for this function is:
CD
AB 00 01 11 10
00 | 0 1 0 0
01 | 1 0 0 1
11 | 1 1 1 1
10 | 0 0 1 0
We can group the minterms to obtain the minimum sum of products (SOP):
F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer: the answer is 189
Step-by-step explanation:
Solve using elimination.
9x + 2y = -5
-9x + y = 11
Answers
Answer:
(-1, 2)
Step-by-step explanation:
9x+2y=-5
-9x+y=11
If you notice that these two equations can be easily worked out with since 9x (from the first equation) and -9x (from the second equation) can be easily eliminated. So, you will start adding the left numbers/variables from the two equations.
9x+2y=-5
-9x+y=11
2y+y=3y (every variable has a secret/hidden 1)
-5+11=6
3y=6
(divide 6 by 3)
y=2
Replace the value of y into ANY of the equations from the question. (I would be using the second one)
-9x + y = 11
-9x+2=11
(now just do simple algebra)
-9x=9
x=-1
2. One candle, in the shape of a right circular cylinder, has a
height of 7.5 inches and a radius of 2 inches. What is the
volume of the candle? Show your work and round your
answer to the nearest cubic inch.
Use 3.14 for pi
Answers
The volume of the candle is approximately 94 cubic inches.
What is circular cylinder?
A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.
The volume of a right circular cylinder is given by the formula:
V = πr²h
Where
V is the volumer is the radiush is the heightSubstituting the given values into the formula, we get:
V = 3.14 x 2² x 7.5
V = 3.14 x 4 x 7.5
V = 94.2
Rounding to the nearest cubic inch, we get:
V ≈ 94 cubic inches
Therefore, the volume of the candle is approximately 94 cubic inches.
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Graph each function using a table of values, then identify its key characteristics.
Answers
we make the table using 3 any numbers for x and replacing on the function
x=-1
\(\begin{gathered} y=3^{-1}-4 \\ y=-\frac{11}{3} \end{gathered}\)x=0
\(\begin{gathered} y=3^0-4 \\ y=-3 \end{gathered}\)x=1
\(\begin{gathered} y=3^1-4 \\ y=-1 \end{gathered}\)Table
place the points and joint it
the function is growth since it can be seen in the graph
Domain
We can see on graph the line can be any value of x because horizontally it has no beginning or end
\((-\infty,\infty)\)Range
We can see the smallest value that the graph could take is -4 and the May is not defined so it is infinite
\((-4,\infty)\)Y intercept
point where x = 0 and the line touches the y axis
the point is
\((0,-3)\)Asymptote
horizontal or vertical line that the nape line will touch
our asymptote lies on the value of y = -4, why the line never touches this value
\(y=-4\)
please help will give brainlest
Answers
Answer: ) (0,0), (0,2), (2,0), (4,2); Maximum value of 10
Hope this helps :)
Am i right? And why?
Answers
Answer:
Yes I think your right but I can't back up my response. I mean it looks right to me.
Step-by-step explanation:
Srry. HOPE THIS HELPS!! :)
What is a quadratic equation.
Answers
Answer:
A quadratic equation is an equation of the second degree.
Step-by-step explanation:
what is the slope on the line ?
please help me.
Answers
Answer:
4/7
Step-by-step explanation:
you go to the right 4 times then up 7
Spiral Review
Jenny uses half of a garden space to
plant roses. She uses 1/4 of that space
to plant pink roses. What fraction of
the entire space does Jenny use for
Answers
The fraction of the entire garden space Jenny uses for pink roses is 1/8.
How to determine the fraction of the entire space used for pink roses?
A fraction represents the parts of a whole or collection of objects e.g 3/4 shows that out of 4 equal parts, we are referring to 3 parts.
Since Jenny uses half of the entire garden space to plant roses and She uses 1/4 of that space to plant pink roses. We can say:
fraction for roses = 1/2
fraction for pink roses = 1/4 * fraction of roses
= 1/4 * 1/2
= 1/8
Therefore she uses 1/8 of the whole garden to plant pink roses.
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Complete Question
Jenny uses half of a garden space to plant roses. She uses 1/4 of that space to plant pink roses. What fraction of the entire space does Jenny use for pink roses?
Assume double[][] x = new double[4][5], what are x.length and x[2].length? a. 4 and 4
b. 4 and 5 c. 5 and 4 d. 5 and 5
Answers
The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.
The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.
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a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
Answers
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers
(IF ITS NOT CLEAR SWITCH PICRTURES)
(PLEASE HELP)
Answers
I’m sure it’s 7 sorry if I’m wrong
Answer:
sorry im late but 12
Step-by-step explanation:
The image shows a graph of the parabola with focus (-3,-2) and directrix = 2,
and the line given by y = -3. Find and verify the points where the parabola and the line intersect.
Answers
The point of intersection between the line and the parabola is (x, y) = (7 / 12, - 3).
How to find the points of intersection between parabolas and lines
In this question we must determine the equation of a parabola whose focus is (x, y) = (- 3, - 2) and directrix x = 2 and a line whose expression is y = - 3. First, determine the equation of the parabola:
Please notice that the parabola has an axis of symmetry parallel to x-axis.
4 · p · (x - h) = (y - k)²
Where:
p - Least distance from the focus to the vertex. (h, k) - Coordinates of the vertex.
Coordinates of the vertex
(h, k) = 0.5 · (- 3, - 2) + 0.5 · (2, - 2)
(h, k) = (- 0.5, - 2)
Least distance from the focus to the vertex
(p, 0) = (- 3, - 2) - (- 0.5, - 2)
(p, 0) = (- 3, 0)
p = - 3
4 · (- 3) · (x + 0.5) = (y + 2)²
- 12 · (x + 0.5) = y² + 4 · y + 4
- 12 · x - 6 = y² + 4 · y + 4
- 12 · x = y² + 4 · y + 4
x = - (1 / 12) · y² - (1 /3) · y + 1 / 3
Second, find the points of intersection:
x = - (1 / 12) · (- 3)² - (1 /3) · (- 3) + 1 / 3
x = - 3 / 4 + 1 + 1 / 3
x = 7 / 12
Third, write the point of intersection:
(x, y) = (7 / 12, - 3)
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