Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
1/3 minus 1/6 equals to???
Answer:
1/6
Step-by-step explanation:
In order to add or subtract fractions you have to have the same denominator for both factions. you do this through finding the Lowest Common Denominator (LCD) In this case it's six because both 3 and 6 (the denominators) can go into 6. So turn 1/3 into a fraction with 6 as the denominator through multiplying both the top and bottom of the fraction by 2
1/3 * 2/2 = 1*2/3*2 = 2/6
Then you can straightforwardly subtract
2/6 - 1/6 = 1/6
An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458
Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
You borrow $2000 for three years at an annual interest rate of 12% what is the total cost of the loan at the end of the three years
Answer:
2,391 paid altogether. The interest Rate was another 391 dollars.
Step-by-step explanation:
If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?
Answer:
3hours and 15 mins
Step-by-step explanation:
210 divied by 3=70
70=per hour
4 hours=280
70 divied by 2= 35
.5=35
280+35=315
315 miles in 4.5 hours
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
What is the range of the function
graphed below?
(3,3)
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
y=3x-5 identify y intercept within equation
Answer: -5
Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis
Answer: -5
Step-by-step explanation:
When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5
Help me please, very important!!! (PLEASE)
Read the question carefully!
The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?
Answer: 61cm
Step-by-step explanation:
So to work out this question you do 5734÷94 which would work out the with which is 61
61×94=5734
What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
which expression is equivalent to 0.17w + 0.77 + w? -0.77 + 1.17w
-0.17w + 1.77
-1.94w
-1.6w
Answer:
113.29w +1.77
Step-by-step explanation:
Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.
Answer:
A′B′ and AB are equal in length.
Step-by-step explanation:
Given that the location of the points are at A(1, 3) and B(5, 3).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.
If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)
[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]
Write the ratio 12 dollars for 3 tickets as a unit rate
Answer:
12:3
Step-by-step explanation:
Please answer this question
Answer:
she is running at a constant speed
Step-by-step explanation:
the bar is still because she isnt going faster or slowing down she is constant
Answer:
D: She is at a constant speed.
Step-by-step explanation:
she is not acceleraring or decelerating, so her speed is constant
You should not schedule _____ tasks for the same day.
yearly
daily
weekly
monthly
Answer:
B. Daily
Step-by-step explanation:
It makes more sense to put "daily" because of "the same day."
Daily means doing something everyday.
You should not schedule daily tasks for the same day.
Answer:
I just took the test.
It is weekly.
Find the product
(-4)(-9)(-2)
Answer:
-72
Step-by-step explanation:
(-4)(-9)(-2)=
36(-2)=
-72
What is the solution?
-6x - 1 =23
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
How does the speed (miles per hour) represented by this relationship compare to that of the Peregrine Falcon?
If you could travel back in time one year, what advice would you give yourself?
10 sentence required for the brainlleist if 2 people answer
1
Answer:
To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.
Hope this helps :)
Step-by-step explanation:
If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.
I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.
Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.
Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.
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I don't understand this at all. Can you help me solve this please :)
Answer:
y = -1/2x +3
Step-by-step explanation:
basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
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pair that describes <2 <3
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
Tip: Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Jane baked the kinds of fruit bars shown in the table below.
Kind of Fruit Bar Number
Apple
51
Peach
36
Plum
84
Part A
Jane wants to make baskets of the fruit bars, and she wants to divide each kind of fruit bar equally among the baskets. What is the maximum number of baskets can she make?
Answer:
I THINK the answer is 57
Step-by-step explanation:
Add 51 + 36 + 84
Divide 171 by 57
57 is the most that can go into 171 evenly.
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
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