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.
Answers
Question:
a. Graph the equation.
b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.
Answer:
See attachment for graph
12 long-sleeved shirts
Step-by-step explanation:
Given
[tex]10x + 12y = 300[/tex]
Plotting the graph:
Set x = 0
[tex]10(0) + 12y = 300[/tex]
[tex]12y = 300[/tex]
[tex]y = 300/12[/tex] --- divide through by 12
[tex]y = 25[/tex]
Set x = 0
[tex]10x + 12(0) = 300[/tex]
[tex]10x = 300[/tex]
[tex]x = 300/10[/tex] --- divide through by 10
[tex]x = 30[/tex]
So, the graph will be plotted using: (0, 25) and (30, 0)
See attachment for graph
Determine y when x = 12
[tex]10x + 12y = 300[/tex]
[tex]10(12) + 12y = 300[/tex]
[tex]120 +12y = 300[/tex]
[tex]12y = 300 - 120[/tex] --- collect like terms
[tex]12y = 180[/tex]
[tex]y = 180/12[/tex] -- solve for y
[tex]y = 15[/tex]
Related Questions
A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?
60.5 feet
121 feet
15.6 feet
16.5 feet
Answers
Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project
How much of the project should still be completed? And who do you think should do the last section of the project?
Answers
Answer:
the project has been completed.
Step-by-step explanation:
5/18 +4/18 + 9/18 = 18/18 or 1
so therefore no one has to complete the project, as it has already been completed
Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.
On a coordinate plane, a line goes through points (negative 1, negative 1) and (0, 1).
Which statement is correct regarding their slopes and y-intercepts?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the graph has a steeper slope and a greater y-intercept.
Answers
Answer:I believe the answer is C: The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
Step-by-step explanation: The Y intercept of the equation is 2 and when I put the 2 graphs side by side the graphs slope looks steeper
the graph has a steeper slope
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
PLZZZZZZ HELP I WILL. ARY YOU BRAINLIEST
Answers
Answer:
ITS THE FIRST ONE
Step-by-step explanation:
THE OUTPUTS ARE THE Y-VALUES
THE Y-VALUES ARE 4, -1, 3, -3
THEREFORE, THE ANSWER IS THE FIRST OPTION. {-3, -1, 3 4}
1. El siguiente conjunto de datos corresponde al tiempo de duración de un estímulo fisioterapéutico en un grupo de estudiantes de la UEF-DAB: 1,8; 1,6; 1,4; 1,7; 1,9; 1,4; 2,1; 2,1; 2,9; 1,4; 2,2; 2,8; 2,3; 1,4; 2,2; 2,2; 1,6; 2,1; 2,0; 1,8. Elabore una tabla simple de frecuencias, luego determine la media aritmética, mediana, moda, varianza y desviación estándar respectiva.
Answers
Can you translate in english please for me to answer???
0.02 divided by 924.3
Answers
Answer:
46215
Step-by-step explanation:
1 Find the median of the following.
a. 3, 6, 7, 4, 5, 9, 8, 9,7
Answers
Answer:
6.4 repeating
Step-by-step explanation:
3 + 6 + 7 + 4 + 5 + 9 + 8 + 9 + 7 = 58
58 ÷ 9 = 6.4444 (and so on)
inverse function of f(x)=100+4x
Answers
Answer:
[tex]f(x)^{-1} =\frac{x}{4} -25[/tex]
Step-by-step explanation:
This is the inverse function of f(x)=100+4x
Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall That is at least 76.5 ft.². The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall
Answers
Answer: 9 feet
Step-by-step explanation:
The minimum length of the design Jaunice will paint on the wall is 9 feet.
It is required to find the the minimum length.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape
Given:
Area of rectangular section of her wall =76.5 ft.²
Height of the design = 8.5 feet.
We know that
Area of rectangle=length*breadth
Area = l*h
76.5 =8.5*l
l=76.5/8.5
l= 9 feet.
Therefore, the minimum length of the design Jaunice will paint on the wall is 9 feet.
Learn more about rectangle here:
brainly.com/question/18581708
#SPJ6
someone please answer asap
Answers
Answer:
alternate exterior angles they are facing diagonally from each other and are on the outside of their respective angles making them alternate exterior
Answer:
Corresponding angles, i.e they are in the congruent matching sides
Please help me with this.
Answers
Answer:
v=8
Step-by-step explanation:
12=12+v−8/2
12=12+1/2
v+−4(Distribute)
12=(1/2v)+(12+−4)(Combine Like Terms)
12=1/2v+8
Step 2: Flip the equation.
1/2v+8=12
Step 3: Subtract 8 from both sides.
1/2v+8−8=12−8
Step 4: Multiply both sides by 2.
2*(1/2v)=(2)*(4)
v=8
Subtract 12 from both sides
0 = (v - 8)/2
Multiple both sides by 2
0 = v - 8
Add 8 to both sides
8 = v
Therefore A is correct
YOOO I NEED BIG HELP CAUSE IM DUMB AND QUICK PLEASEEEEEEEEE
Answers
Answer:
I and iii
Step-by-step explanation:
because I know yup yuppy yup
Answer:
i, ii and iii
Step-by-step explanation:
Solve and graph the inequality
Problem and solutions are below
Answers
Answer: D
Step-by-step explanation: The > points to the right so the line goes that way and, in order to get rid of the fraction you multiply 5 * -4 = -20 so
Z > -20
PLEASE HELP ASAP!!!!!
Answers
Answer:
9<✓88<10
Step-by-step explanation:
✓88 = 9.38083
Sara has 2 paintings in her portfolio and paints 3 more each week. Kevin
has 12 paintings in his portfolio and paints 2 more each week. After how
many weeks will Sara and Kevin have the same number of paintings? *
12 weeks
O 10 weeks
O 16 weeks
O 14 weeks
Answers
Answer:
If Sara has 2 painting already and paints 3 more each week, and Kevin has 12 paintings already and paints 2 more each week, we go down the list of answers and multiply them by the number of paintings painted each week. So first is 12x2=24 24+12=36 then 12x3=36 36+2=38 now we do 10x2=20 20+12=32 10x3=30 30+2=32 so your answer would be 10 weeks
Step-by-step explanation:
If (x^2 2 x 1) is singular and (x 2x 3x 4x) is non-singular, find the value of x.
Answers
I assume you're talking about two square matrices,
[tex]A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}[/tex]
and
[tex]B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}[/tex]
If A is singular, then its determinant is 0:
[tex]\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2[/tex]
B is not singular, so its determinant is not 0:
[tex]\det B=4x^2-6x^2=-2x^2\neq0[/tex]
This tells you x ≠ 0, so x = 2.
Luis purchased a laptop computer that was marked down by
[tex] \frac{2}{5} [/tex]
of the original price. What fractional part of the original price did Luis pay?
Answers
Answer:
Luis paid 3/5 of the original price
Step-by-step explanation:
Luis purchased a laptop with a fractional discount of 2/5 of the original price.
When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:
Paid price + Discount price = Original price
Or, equivalently:
paid fraction + discount fraction = 1
From the above relation, it follows that:
paid fraction = 1 - discount fraction
[tex]\displaystyle \text{paid fraction }=1-\frac{2}{5}[/tex]
[tex]\displaystyle \text{paid fraction }=\frac{5-2}{5}[/tex]
[tex]\displaystyle \text{paid fraction }=\frac{3}{5}[/tex]
Luis paid 3/5 of the original price
In 2005, MusicMart sold 14,550 CDs. In 2010, they sold 12,000 CDs. What is the rate of change in the number of CDs sold?
A) -2550 per yr B) -510 per yr C) -425 D) -2400 per yr
Answers
Answer:
B) -510 per yr
Step-by-step explanation:
2005 = 14,550 CDs sold
2010 = 12,000 CDs sold
Difference in years = 2010 - 2005
= 5 years
Difference in CDs sold = 12,000 - 14,550
= - 4,550
Rate of change in the number of CDs sold = change in the number of CDs / change in years
= -4,550 / 5
= -510 per year
The correct answer is B) -510 per yr
Please find the rise over run and draw the line i’m so confused right now.
Answers
Answer:
4/3
Step-by-step explanation:
rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.
hopefully this helps! plz consider brainliest! :)
p.s. i put dashes to help count how many points it is from point A to point B
Zeroes of p(x)=x^-2x-3 are
Answers
Answer:
x=3 x= -1
Step-by-step explanation:
(x-3)(x+1)
x-3=0. x+1=0
x=3 x= -1
PLEASE HELP MEEEEEE ILL GIVE MAX POINTS AND BRAINIEST TYSMMM <33333
Answers
Answer:
Please see below :)
Step-by-step explanation:
4 cubed + 8 is the sum.
y is the variable.
9/y is the quotient.
Hope this helps!
Answer:
Please see below :)
Step-by-step explanation:
4 cubed + 8 is the sum.
y is the variable.
9/y is the quotient.
Hope this helps!
Victor borrowed $21 .50 from his mother to go to a theater. A week later, he paid her $21 .50 back. How much does he still owe her?
Answers
$ 0.00
Step-by-step explanation:
$ 21.50 - $21.50 = 0.00
Answer:
Nothing
Step-by-step explanation:
21.50 - 21.50 = 0
Are you sure you put this question right? If so, good luck! <3
You have $25 to buy 6 candy bars. Write an inequality that represents the prices you can pay per candy bar.
Answers
Answer:
25 divided by 6
Step-by-step explanation:
PLEASE HELP ITS DUE TODAY!
question: Zayn has 5 more than three times the number of stickers that cleo has. Cleo has 25 fewer stickers than zayn. WRITE THE SYSTEMS OF EQUATION TO REPRESENT THIS SITUATION. explain what the solution means
Answers
Answer:
Solutions:
Z = 35
C = 10
Systems of Equations:
Z = 3C + 5
C = Z - 25
Step-by-step explanation:
Z will be for Zayn and C will be for Cleo.
Z = 3C + 5
C = Z - 25
These are the systems of equations. To solve, plug one of the equations into their respected variable.
Z = 3(Z - 25) + 5
Z = 3Z - 20
20 = 2Z
Z = 10
C = 3C + 5 - 25
-2C = -20
C = 10
This proves that these equations are correct. To find the final solution, plug 10 into Z to find Zayn's amount , then plug the amount that was for Zayn into C to find Cleo's amount.
Z = 3(10) + 5
Z = 35
C = 35 - 25
C = 10
will give brainliest
Answers
Answer:
first quadrant
Step-by-step explanation:
Explain while solving absolute value
inequalities, when should "and" be used and
when should "or" be used?
Answers
Answer:
Step-by-step explanation:
I have "and" but not "or"
"and" is when your talking about the decimal point for example:
1.2
one, and, two tenths
describe the error in finding the product (big ideas math)
Answers
Answer:
d
Step-by-step explanation:
you have to foil in situations like these, getting you
ksquared +4k+4k+16
2(k)(4) is the same thing as 4k+4k, which is what is missing from the answer
A motorcycle traveled 250 kilometers in five hours. What was its average speed in km/hr?
Answers
250 km divided by 5 hr = 50 kilometers per hour
Answer:
50mph
Step-by-step explanation:
250km = 5hrs
250km/5hrs = 50km
50km = 1hr
True or False. If false, explain why it's false.
“Equivalent fractions are ones that use the same numbers, like 1/2 and 1/2.”
Answers
False
EXPLAIN:
Equivalent fractions can come in various different forms and can even have different numbers. Therefore, equivalent fractions are not just the ones with the same numbers.
Answer:
False
Step-by-step explanation:
Equivalent fractions to 1/2 would be 2/4 5/10 and 50/100.
Write a linear equation given the graph
Answers
Answer: Y= 1/-1x+4
Step-by-step explanation: Y equals 1 over negative 1 x plus 4