Answers
The $2 and $3 profits from the sale of sandwiches and wraps respectively, and the equation that is used to calculate the profit gives;
1. The equation is; [tex] \displaystyle{y = 490 - \frac{2}{3} \cdot x}[/tex]
The slope, m = [tex] \displaystyle{ - \frac{2}{3}}[/tex]
The y–intercept, c = 490
2. The graph can be drawn by joining the y–intercept to a point found by moving along the slope from the y–intercept
3. [tex] \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}[/tex]
4. Please find attached the graph of the number of wraps to the number of sandwiches
5. Please find attached the combined graph of the two functions
The similarity is the common slope
The difference is the y–intercept
What is the slope of a straight line graph?The slope is the ratio of the rise to the run of the graph.
The given function is; 2•x + 3•y = 1470
Where;
x = The number of sandwich sold
y = The number of wraps sold
The profit per sandwich sale = $2
Profit per each wrap sale = $3
1. The slope and intercept form is; y = m•x + c
Where;
m = The slope
c = The y–intercept
Therefore, 2•x + 3•y = 1470 gives;
3•y = 1470 - 2•x
y = (1470 - 2•x)÷3 = 490 - (2/3)•x
[tex] \displaystyle{y = \frac{1470-2\cdot x}{3} = 490 - \frac{2}{3} \cdot x}[/tex]
Therefore;
[tex] \displaystyle{y = 490 - \frac{2}{3} \cdot x}[/tex]By comparison, we have;
The slope, m = -2/3The y-intercept, c = 4902. Using the slope and intercept method to graph the line involves the following steps.
Mark the point (0, 490) on the graph to represent the y–interceptFrom the point (0, 490), move 2 units downwards and 3 units to the right to represent the slope of (-2/3) then mark a point at the location arrived at, which is (3, 488)Join the two points and extend the line to complete the graph3. The equation in function notation is; [tex] \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}[/tex]
The meaning of the function is that the number of wraps sold is given by the difference between 490 and two thirds of the number of sandwiches sold, or that as the number of sandwiches sold increases by by 1, the number of wraps sold decreases by 2/3
4. The graph can be created using a spreadsheet application
Please find attached the graphs of the function
5. With a profit next month of $1,593, we have;
2•x + 3•y = 1593
Which gives;
[tex] \displaystyle{y = 531 - \frac{2}{3} \cdot x}[/tex]
Given that the equation of the graph of the previous month is y = 490 - (2/3)•x, we have;
The similarity is the slope of the two graphs are the same -(2/3)The difference is in the different y–intercepts, 490 and 531Learn more about the graph of a linear equation here:
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Related Questions
Helena was curious if quadrilaterals QRSTQRSTQ, R, S, T and XYZWXYZWX, Y, Z, W were congruent, so she tried to map one figure onto the other using transformations:
Answers
Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.
Given,
Two quadrilaterals = QRST and XYZW
Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.
How should the facts be explained?
According to the information provided, Helena was interested to know whether the quadrilaterals were congruent.
The quadrilaterals in this instance cannot be mapped into one another via a series of stiff transformations, hence they are not congruent.
As a result, no mistakes are made.
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Select the correct answer.
Which expression is equivalent to the given expression?
(6n-5) (3n-³)²
A. 301
36
OB. 547.30
367.30
O A.
O c.
O D. 511
54
Answers
Answer:
[tex] \frac{54}{n {}^{11} } [/tex]
Step-by-step explanation:
[tex](3n {}^{ - 3} ) \times (3 {n}^{ - 3} )[/tex]
[tex]6 {n}^{ - 5} \times 9n {}^{ - 6} [/tex]
[tex]54 {n}^{ - 11} [/tex]
[tex] \frac{54}{n {}^{11} } [/tex]
HELP PLEASE DONT IGNORE
Answers
Answer:
Y=3/4x-2
Step-by-step explanation:
Atleast I think so
Answer:
y=3/4x-2
Step-by-step explanation:
y=mx+b
Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)
Evaluate the expression if a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1 . | a − 5 | − 1
Answers
The solution to the expression | a − 5 | − 1 is 2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
| a − 5 | − 1
Also, we have the values to be
a = 2 , b = − 3 , c = − 4 , h = 6 , y = 4 , and z = − 1
Substitute these values in the given equation
So, we have the following equation
| a − 5 | − 1 = | 2 − 5 | − 1
Evaluate the difference
So, we have the following equation
| a − 5 | − 1 = | −3 | − 1
This gives
| a − 5 | − 1 = 3 − 1
Evaluate the difference
| a − 5 | − 1 = 2
Hence, the value is 2
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[tex]\sqrt{x} 10 greater than, less than, or equal to 3[/tex]
Answers
The square root of 10 will be greater than 3.
What is square root of a number?The square root of a number is the value which when multiplied by itself results into the number. Mathematically -
n = x²
then -
x = [tex]\sqrt{n}[/tex]
Given are two numbers as -
[tex]\sqrt{10}[/tex] and 3.
Now, the square root of 10 will be 3.16 (approx.)
On comparing the square root of 10 with 3, we can clearly see that the square root of 10 will be greater than 3. Mathematically -
[tex]\sqrt{10}[/tex] > 3.
Therefore, we can conclude that the square root of 10 will be greater than 3.
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The table represents a quadratic function. Write an equation of the function in standard form.
x | 3,4,5,6
y | 10,7,10,19
I don't know how to find the vertex for this
Answers
The equation of the function in standard form is 3x + y = 25.
What is a quadratic function?
f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.
From the given table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
Now,
( y - y1 ) = m ( x - x1 )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
=> y - 10 = -3x + 15
=> 3x + y = 25
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help me out pleaseeeeeeeeeeeeeeeeee
Answers
Answer:
I'm pretty sure the answer is 191/30 when simplified
Step-by-step explanation:
Yup
the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
Answers
Answer:
92F
Step-by-step explanation:
the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.
= 90 - (-2)
= 90 + 2
= 92F
Mrs. Carpio purchased 30 cookies. She gives half of the cookies to her students. Then, she purchases some more, c, cookies on her way home.
Answers
The number of cookies that she has when she reaches home is given by the following algebraic expression:
n = 15 + c.
Which algebraic expression models the situation?The initial number of cookies that she has is given by:
30.
(as stated in the problem).
She gives half of that amount to her students, hence the number of cookies that she has remaining is:
0.5 x 30 = 15 cookies remaining.
(to find the half of an amount, we can either divide by 2 or multiply by 0.5).
Then, on her way home, she purchases c cookies, hence the total number of cookies that she has when she reaches home is given by the following expression:
15 + c.
(she had 15, and then c was added to that amount).
Missing informationThe problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.
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what is 2 and 2 add together
Answers
2+2 a very complicated math question 2+2 = 6 because there's two 2's so that gives us an extra 2 so the actual question is "what is 2 + 2 + 2"
so the answer to your question is 6
Can someone help me out it dosent seem hard but its just hard for me to focus
Answers
The government levies a consumption tax known as a sales tax on the purchase of goods and services.At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Calculate sales tax ?
The formula sales tax = purchase price x sales tax rate can be used to calculate the sales tax that was imposed to a purchase by simply multiplying the tax rate by the purchase price.The final price paid with tax is calculated by adding the sales tax to the initial purchase price. The Short Answer: Retail purchases are subject to sales tax.It is used to fund local and state budgetary expenses including fire departments, roads, and schools.The Detailed Response: Sales tax is a type of consumption tax that is typically levied on goods purchased by customers from shops. Only when the taxable supply is made during a "taxable activity" is it assessed and paid.The amount to be taxed is the value of the products or supply.The nature of the sales tax requires that the customer bear the majority of the tax burden.Sales tax is an indirect tax, which explains why.
equation sales tax = purchase price x sales tax rate.
Sales tax = $800*7.5%
= $60
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What is an equation in point-slope
form of the line shown in the
graph, using the point (2, 2)?
8
6
4
2
OY
y
2
x^
X
Answers
Answer:
Step-by-step explanation:
Jan 15, 2020 — this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2). heart outlined. Thanks 10.
2 answers
·
10 votes:
Answer:this line also pass through 0,8 and 2,2. slope is -3. the equation is y-2= -3(x-2)
Missing: OY | Must include: OY
Use the graph on the right to locate points D, E, and G
5. Locate D so that ABCD is a rectangle.
6. Locate E so that ABCE is a trapezoid
7. Locate G so that ACBG is a parallelogram that is not a rectangle
Answers
The graph on the right to locate points D, E, and G is, 5.D(0, 3), 6. E(0, 2), 7. G(0, -3).
What is graph?
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below.
Rectangle: Rectangles have parallel opposite sides; therefore, D must be positioned such that CD is parallel to AB and AD is parallel to BC. This necessitates that point D be.
D(0, 3)
Trapezoid: A trapezoid has one set of parallel opposed sides. As a result, we must select point E such that either AE or CD are parallel to AB.
We have picked point E in the accompanying picture so that AE and BC are parallel.
E(0, 2)
Keep in mind that point E might be somewhere left of point C on line y=3 or above point A on line x=0. Point D and point E cannot be in the same place.
E(0, p) or E(q, 3) where p > 0, q < 8, and p≠3, q≠0
Parallelogram: The middle of each parallelogram is where its diagonals connect. As a result, the midway of AB and CG must coincide. We need to have... in order for that to occur.
A + B = C + G
G = A + B - C = (0, 0) +(8, 0) -(8, 3) = (0+8-8, 0+0-3) = (0, -3) (0, -3)
Point G is located where...
G(0, -3)
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( 50 points ) Can some1 help me figure out these ???
Answers
Volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
As given,
Dimensions of fish food cubes:
Length=1/4 ft
Width=1/4 ft
Height=1/4ft
a. Volume of fishing food cube=Length ×width ×height
=(1/4)×(1/4)×(1/4)
=(1/64)ft³
b. Volume of big box
=(Number of boxes) ×(volume of fishing food cubes)
=2×(1/64)
=(1/32)ft³
c. Dimensions of shipping box
Length=3ft
Width=3 3/4 ft
=15/4 ft
height=3 1/4 ft
=13/4 ft
Volume of shipping box=3 × (15/4) ×(13/4)
=(585/16) ft³
Therefore, volume of boxes as per condition given:
a. Volume of fish food cube=(1/64) ft³
b. Volume of big box=(1/32)ft³
c. Volume of shipping box=(585/16) ft³
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Question 17 of 25
What is the measure of BVD?
B
105⁰
V
D
A. 95°
B. 75°
C. 105°
D. 115°
Answers
C that's because the angles are vertically opposite
Add.
7+(-7)= help help help
Answers
Answer:
the answer is 0
Step-by-step explanation:
a negative plus a positive is a positive
If you take 7 and subtract 7 from that, you get 0.
need this asap!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Triangle ABC has two given angles: 105 degrees and 47 degrees. Because a triangle has a total of 180 degrees, then angle BCA has angle 180 - 105 - 47 = 28
Angle BCA and Angle CAE are alternative interior angles, meaning they are equal. Thus angle CAE should be 28 degrees
Aisha can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Aisha needs to earn at least $150 this week to pay for a trip with her
friends. Determine the number of regular and early morning hours that Aisha could work.
Answers
Answer:
Minimum 7 early morning hours
Maximum 13 regular hours
Step-by-step explanation:
x: number of regular hours
y: number of early morning hours
i) x + y = 20
ii) 7x + 8.5y = 150
ii - 7i
1.5y = 10 --> y = 10/1.5 = 20/3 = 6 2/3
x + 20/3 = 20 --> x = 40/3 = 13 1/3
She could work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.
16. Jani drives 290 miles in 5 hours. About how many miles does she
drive each hour?
Answers
Answer: 58
Step-by-step explanation: you divide 290 into 5
-n/3 is greater or equal than 0.75
Please help me with this equation
Answers
Answer: n<= -2.25
Step-by-step explanation:
1) Lay the equation out
[tex]\frac{-n}{3} \geq 0.75[/tex]
2) Multiply 3 on both sides to leave n by itself.
[tex]-n \geq 0.75*3\\-n \geq 2.25\\\\[/tex]
3) Multiply -1 on both sides.
Note: Multiplying -1 will flip the sign.
[tex]n \leq 2.25*-1\\n\leq -2.25[/tex]
4) Answer
n<= -2.25
results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. a random sample of 200 high school seniors from this city reveals that 162 plan to attend college. does this indicate that the percentage has increased from that of previous studies? test at the 5% level of significance. what is the p-value associated with your test of hypothesis?
Answers
The allegation that the proportion has increased from that of earlier studies is not supported by enough data.
What is Hypothesis test?Hypothesis test: A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters
Let p represent the population percentage.
Then, Null hypothesis : H₀:p=0.79
Alternative hypothesis : H₀:p>0.79
The hypothesis test is a right-tailed test because the alternative hypothesis is right-tailed.
Out of 200 high school seniors in this city, 162 intend to enroll in college, according to a random sampling.
Because n = 200 > 30 we must employ the z-test (otherwise we use t-test.)
p`=162/200=0.81
Population percentage test statistic:
[tex]z=(p`-p)/[/tex][tex]\sqrt{p`(1-p)/n[/tex]
[tex]z=(0.81-0.79)/\sqrt{0.81(1-0.81)/200}[/tex] =0.720984093915≈0.72
Consequently, the sample test statistic's z-value is 0.72.
Right-tailed test P-value:
[tex]p(z > 0.72)=1-p(\leq 0.72)[/tex]
≈[tex]1-0.7642375[/tex]
≈[tex]0.2357625[/tex]
≈[tex]0.2358[/tex]
We are unable to reject the null hypothesis since the p-value is higher than the threshold for significance (0.05).
Therefore, we draw the conclusion that the allegation that the proportion has increased from that of earlier studies is not supported by enough data.
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A 28° 0 128° B C Problem 4.1 Determine the measure of the missing angle.
Answers
Answer:
24°
Step-by-step explanation:
the interior angle of a triangle is 180°
therefore Let <ACB =x
128°+28°+x=180°
156°+x=180°
make x the subject
x=180°-156°
x=24°
What is the shaded area???
Answers
Answer:
Area of circle is 9π cm²
Step-by-step explanation:
- If area of the area of the square is 36 cm², the length of one side of a square can be found;
[tex]{ \rm{area \: of \: square = side \times side}} \\ { \rm{36 = {x}^{2} }} \\ { \rm{x = \sqrt{36} }} \\ { \rm{x = 6 \: cm}}[/tex]
- If you make a clear observation from the figure, length of a square corresponds to the diameter of a circle;
[tex]{ \rm{radius = \frac{1}{2} \times length \: of \: square }} \\ \\ { \rm{r = \frac{1}{2} x}} \\ \\ { \rm{r = \frac{1}{2} \times 6 }} \\ \\ { \rm{r = 3 \: cm}}[/tex]
- Therefore, let's find the area;
[tex]{ \rm{area = \pi {r}^{2} }} \\ { \rm{area = \pi {(3)}^{2} }} \\ { \rm{area = 9\pi \: {cm}^{2} }}[/tex]
[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: creed \: ...}}}[/tex]
A certain company's main source of income is selling cloth bracelets.
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in
dollars) is modeled by:
P(x) = −2x² + 16x − 24
-
What bracelet price should the company set to earn this maximum profit?
Answers
The bracelet price on which company get its maximum profit is 8 thousand dollar
what is function?A rule or law that define an relationship between one variable to another variable
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
P(x)= -2x^2 +16 x-24
a=-2 and b = 16
x= -b/2a= -16/2 x -2 = 4
Now we plug in 4 for x and find out P(4)
P (x) = -2 x (4)^2 + 16 x 4 - 24 = 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
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A square play area has an area of 5625m2. How long is each side
Answers
Answer:[tex]75m^{2}[/tex]
Step-by-step explanation: Just have to square root 5625m2 to get each side length
Solve the system of linear equations using the substitution method.
X = 5 and 2x + y = 10
A. (5, -5)
B. (5, 0)
C. (2, -2)
D. (2, -1)
Answers
Answer:
B
Explanation:
x = 5
2x + y = 10
Substitute x = 5 into 2x + y = 10
2(5) + y = 10
10 + y = 10
y = 0
Hence, coordinates are (5,0).
I’m trying to do this equation I put the right question but it dosent work pls help ASAP
Answers
Answer:
x < 10
set builder notation: (-∞ , 10)
Step-by-step explanation:
2(x - 4) < 12
multiply left side out:
2x - 8 < 12
add 8 to both sides:
2x - 8 + 8 < 12 + 8
2x < 20
divide both sides by 2:
2x/2 < 20/2
x < 10
in set builder notation: (-∞ , 10)
Part 1
Tell whether the sequence is arithmetic. If it is, identify the common difference.
-1,4,9,14
Answers
arithmetic means adding or subtracting by the same number each time
. let s be the subspace of c[a, b] spanned by ex , xex , and x2ex . let d be the differentiation operator of s. find the matrix representing d with respect to [ex , xex , x2ex ].
Answers
D(ex) = ex = 1.ex + 0.xex + 0.x2ex
D(xex) = ex + x.ex = 1.ex + 1.xex + 0.x2ex
D(x2ex) = x2ex + 2x.ex = 0.ex + 2.xex + 1.x2ex
So the matrix is:
1 0 0
A = 1 1 0
0 2 1
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write each expression as the product of two factors h•3+6•3
Answers
Answer:
3(h + 6)
Step-by-step explanation:
Since we are starting with
h•3 + 6•3, try to see that there are two terms here h•3 and 6•3. In both of these terms is the factor 3. We can factor out the 3. This leaves behind (h + 6).
h•3 + 6•3
= 3(h + 6)
Its like "un-distributive" property. (this is not a technical term)