You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation $10x+12y=300$ models the total cost, where $x$ is the number of short-sleeved shirts and $y$ is the number of long-sleeved shirts. a. Graph the equation. Interpret the intercepts
Answers
Answer:
a. i) Please see the included graph of the equation $10·x + $12·y = $300
ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered
Step-by-step explanation:
The given information are;
The cost of each short-sleeved shirt = $10
The cost of each long-sleeved shirt = $12
The amount available in the budget = $300
The equation for the total cost = $10·x + $12·y = $300
Where;
x = The number of short-sleeved shirts
y = The number of long-sleeved shirts
Rewriting the equation given in slope and intercept form, we have;
$10·x + $12·y = $300
$12·y = $300 - $10·x
y = $300/$12 - $10·x/$12
y = 25 - 5/6·x
Please find attached, the graph of the equation made with Microsoft Excel
The values of the data that can calculated to plot the graph are;
x, y
(0, 25 )
(5, 20.83 )
(10, 16.67)
(15, 12.5 )
(20, 8.33)
(25, 4.17)
(30, 0 )
The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.
The graph of the equation is shown below.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
Given:
Short-sleeved shirts cost $10 each.
Long-sleeved shirts cost $12 each.
The total budget is $300.
The given equation is:
[tex]10x+12y=300[/tex]
where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.
To find:
The graph of the given equation and the interpretation for the intercepts.
Explanation:
We have,
[tex]10x+12y=300[/tex]
Substitute [tex]x=0[/tex].
[tex]10(0)+12y=300[/tex]
[tex]12y=300[/tex]
[tex]y=\dfrac{300}{12}[/tex]
[tex]y=25[/tex]
So, the y-intercept is at point (0,25).
Substitute [tex]y=0[/tex].
[tex]10x+12(0)=300[/tex]
[tex]10x=300[/tex]
[tex]x=\dfrac{300}{10}[/tex]
[tex]x=30[/tex]
So, the x-intercept is at point (30,0).
Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.
The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.
The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.
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https://brainly.com/question/13859754
Related Questions
What does extraneous solution mean?
Answers
Answer:
Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Step-by-step explanation: None
There are 90 males and 75 females that came to Jeff's house for a party. Jeff wants to split the males into equal groups and the females into equal groups to play a game. The groups of males and females must have the same amount of people. What is the greatest number of people that can be in each group?
Answers
Answer:
15 people
Step-by-step explanation:
We are told that there are 90 males and 75 females.
This question is a greatest common factor question.
We find the factors of 75 and 90
The factors of 75 are: 1, 3, 5, 15, 25, 75
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
The greatest number of people that can be in each group is 15
can pls someone help and show me how to solve i’m
really struggling
Answers
Answer:
∠RQS = 156
Step-by-step explanation:
m∠TQS = 24
∠TQS and ∠RQS are linear pair. Linear pair are two adjacent angles and their sum is 180
∠TQS + ∠RQS = 180
24 + ∠RQS = 180
∠RQS = 180 - 24
∠RQS = 156
Answer:
156
Step-by-step explanation:
The angles are a linear pair so that means the sum should add up to 180 degrees.
RQS + YQS = 180
We already know that TQS = 24
RQS + 24 = 180
x + 24 = 180
x = 156
Hope this helps :)
help please can someone show me how to solve
Answers
Answer:
<DBC= 78
Step-by-step explanation:
since you already know what they equal all together
subtract 42 from 120
A book was $30. The book is now on sale for $15. What is the percent decrease?
Helpp please
Answers
Answer:
50%
Step-by-step explanation:
Answer:
The answer is.5 or 50%
Step-by-step explanation:
15 is half of 30 and that means it decreased by half or 50%.
Hopefully this helps you
pls mark brainlest
what is 2 to the power of 8 minus 10 minus 15 divided by 3
Answers
Answer:
241
Step-by-step explanation:
241
Answer:
241
Step-by-step explanation:
2^8 - 10 -15 / 3
256 - 10 - 15 / 3
256 - 10 - 5
246 - 5
241
Hope this helps!
HELPPPPPPP ME PLSSSSS
Answers
Answer:
first one i believe is D
Step-by-step explanation:
sending one should be B
Answer:
SU
R
Step-by-step explanation:
Q1 B is the answer
Q2 B is the answer
Non example of complex fraction.
Answers
Answer:
42/6
Step-by-step explanation:
:P
Find the slope of the line that contains the points:(-6, 3) and (-4,5).
Answers
Answer:
Slope:1
Step-by-step explanation:
When finding the slope from 2 points, you subtract them y/x
(-6,3)
(-4,5)
-2,-2
Slope: (-2,-2)=1
y=x+b
Insert on of the the points, in this case, I will choose -6,3
3=-6+b
b=9
So slope intercept form, the answer will be y=x+9.
Since you are just finding the slope, the answer is just 1.
The slope of the line that contains the points:(-6, 3) and (-4,5) is 1.
What is the slope of the line?You could be asked to determine a line's slope when working with linear equations. Knowing the slope formula in that situation is really helpful. Watch this lesson to learn the formula for calculating the slope of a line.
Given the coordinate of the line (-6, 3) and (-4,5).
Hence from the formula of the slope (m) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
m = (5 - 3) / (-4 + 6)
m = 1
Therefore the slope of the line that contains the given points is 1.
Learn more about slope here:
https://brainly.com/question/15271574
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Write the equation in point-slope
form that passes through the point (1,3) and has a slope of 1/2.
Answers
Answer:
[tex]\huge\boxed{y-3=\dfrac{1}{2}(x-1)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m[/tex]- slope
[tex](x_1;\ y_1)[/tex] - point on a line
We have
[tex]m=\dfrac{1}{2};\ (1;\ 3)\to x_1=1;\ y_1=3[/tex]
Substitute:
[tex]y-3=\dfrac{1}{2}(x-1)[/tex]
PLEASE HELP!! i will mark brainliest!!
Answers
Which of the following is the solution to the equation t/3 = -9
Answers
Main Lesson Content.
Lesson 6: Reviewing and Paying the Power Bill
Consumer Math A Unit 2: Controlling Expenses
1.Power Bills usually show ?
1.) the total amount due
2.) the Kilowatt hours of electricity used
3.) the payment due date
4.) All of the above
2.When calculating the power bill, power companies use
1.) Kilowatts
2.) Kilowatt hours
3.) Hours
4.) average usage
Num 3 answer is $52.36
Num 4 answer is The original bill was $192.56
Answers
Answer:
1. All of the above.
2. Kilowatt hours.
Step-by-step explanation:
A power bill can be defined as a utility bill issued by a power utility company (provider) to illustrate the amount of energy (electricity) consumed by a customer.
Power bills usually show the following informations;
1. The total amount due: this represents an amount of money being owed by a consumer to a power utility company. The current amount due in addition to any outstanding balance is reflected in this tab.
2. The Kilowatt hours of electricity used: this represents the amount of electricity that was used by the consumer in the previous month.
3. The payment due date: this represents the least expected date for payment to be made by the consumer. If payment isn't made on or before the due date, the consumer will be disconnected.
Generally, when calculating the power bill, power companies use kilowatt hours. The Kilowatt hours (KWh) represents the amount of energy (electricity) that is being used by a customer on a hourly rate.
Answer:
1. All of the above.
2. Kilowatt hours.
3. $52.36
4. The original bill was $192.56
Step-by-step explanation:
took the quick check
Convert 10 yards to feet
Answers
Answer:
30 feet
Step-by-step explanation:
each yard is 3 feet 3x10=30
what is 2 plus 2
a. 3
b. 4
c. 1
d. 7
Answers
Answer:
I have to say 4
Step-by-step explanation:
2nd my MD du web mi if
Your Answer :
B. 4
Step - By - Step Explanation :
We have two digits. 2 and 2.
The value of 2 is equivalent to 1 apple next to another apple. There are two apples.
What if there were two more apples? Now you have 2 apples next to another pair of apples. Now let's count all the apples.
One apple,
Two apples,
Three apples,
Four apples.
There are 4 apples all together.
So, 2 + 2 has a sum of 4.
Simplify each expression
7(t - 4)
Answers
Answer: 7t-28
Step-by-step explanation: Distribute the 7
How many pages do you read in a hour if it takes you 8 hours and 25 minutes to read 500 pages?
PLZZ ANSWER ASAP!!!
Answers
Step-by-step explanation:
165 bc all you had to do was 825 divided by 500.
Will give brainliest to the best answer
Answers
Explanation: Why would the best answer need an explanation?
Hope this helps!
Homework 1: Parallel Lines & Transversal
Answers
Answer: 1. a) WS, ZV, YU
b) WX, VU, ST
c) ZW
d) WXY
e) TSW
f) UY, UV, UT, ZY, YX
g) ZY, WX ZW, ZV, WS
2. a) intersecting
b) parallel
c) shew
d) intersecting
e) parallel
Step-by-step explanation:
A bike shop has 11 red bikes, 3 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3 what? Choose 1 answer: Red bikes? Blue bikes? Silver bikes?
help please
Answers
For every orange bikes, there are 3 silver bikes.
Answer:
silver bikes
Step-by-step explanation:
y = (25 - 2) (35 - 2).
Multiply the binomials.
Answers
Answer: y=759
Step-by-step explanation:
y = (25 - 2) (35 - 2)
y = (23) (33)
y = 759
Answer:
y = 759
Step-by-step explanation:
subtract the numbers
y = 23 (35 - 2)
y = 23 x 33
Multiply the numbers
y = 759
Solution
y = 759
HURRY PLEASE!! I’ll mark you as brainliest
Tonya's class planted sunflowers and the students are tracking the growth of their individual plants. The table
shows the height of
Tonya's plant t days after she planted her sunflower seed
Based on the data in the table, what function h(t) represents the height, h, in inches, at time t?

Answers
Answer:
Here's what i did
Step-by-step explanation:
The answer is h = 0.4t
A linear function is a function in the form of:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
We can use the data in the table to find the relationship between the time (t) and height (h)
Let us use the format (height, time). Hence from the table, we have the points:
(4, 10), (8, 20), (12, 30) and (16,40). Using any two points, in this case (4, 10) and (16,40), we can apply the formula:
[tex]h-h_1=\frac{h_2-h_1}{t_2-t_1} (t-t_1)\\\\h-4=\frac{16-4}{40-10} (t-10)\\\\h-4=0.4(t-10)\\\\h-4=0.4t-4\\\\h = 0.4t[/tex]
Find out more at: https://brainly.com/question/13911928
need help please help help help help
Answers
Answer:
I'm pretty sure it's 87 degrees
Step-by-step explanation:
Please help me! Two pictures!
Answers
Answer:
B. y<=-2x+1
Step-by-step explanation:
Answer:C
Step-by-step explanation:
You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.
Isaac knew he had to to study more in order to improve his math grades. Calculate the average rate of change over the interval from his first exam to his third exam.
Answers
Answer:
the rate of change is 2 percent per exam
Step-by-step explanation:
Answer:
The rate of change is 2 percent per exam.
Step-by-step explanation:
:)
three quantities that depend on time
Answers
Answer:
Velocity, Acceleration, Speed
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Answers
Answer:
y=2x+3
step explanation:
Simplify.
(19) ×(12)2
Question 5 options:
118
1324
136
19
Answers
What are the slope and the y-intercept of the linear function that is represented by the table?
Answers
kendra washes windows in an office building she washes 2/5 of the window on monday
Answers
Answer:
There are 3/5 of the window left to wash.
Step-by-step explanation:
She already washed 2/5 there is 3/5 of the window left