Thus, the values corresponding to the function and constraints will be:
Objective Function:[tex]C=3.33X+2.00Y[/tex]
Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
We begin by defining the variables. Let call:
X = of servings of dried apricots
Y= of servings of dried dates
For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:
[tex]3.33X[/tex]
For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:
[tex]2.00Y[/tex]
The total cost would be:
[tex]C=3.33X+2.00Y[/tex]
Product must contain at least 4700mg of potassium
[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.
Learn more: brainly.com/question/16173741
A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?
Answer:
315,000
Step-by-step explanation:
(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000
500,000-185,000=315,000
four w plus ten equals negative w
Answer:
4w+10=-w
w=-2
Step-by-step explanation:
First, write out the equation in the algebraic form to make it easier to solve. This equation written out is 4w+10=-w. Then, isolate the variable and solve. Do this by subtracting 4w from both sides. Then, divide both sides by -5.
4w+10=-w10=-5w-2=wGrade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?
Can Someone Help me please
Answer:
As no graph is provided you can only solve it.Steps provided below
Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective valuesYes you have done it
The question is the img. Please answer both if u can
Problem 1
x = number of weeks
y = amount left on gift card (in dollars)
He starts with $100. Then each week he spends $4.99 which means we subtract 4.99x from the 100 mentioned. We form the expression 100 - 4.99x which is the same as -4.99x + 100
The equation y = -4.99x + 100 is in slope intercept form with m = -4.99 as our slope and b = 100 as the y intercept.
Answer: y = -4.99x + 100=======================================================
Problem 2
The y intercept is 100 because it's the starting amount. Mark the point (0,100) on the graph.
We need one more point to form a straight line. Let's say we picked something like x = 4 to plug into the equation found earlier
y = -4.99x + 100
y = -4.99*4 + 100
y = -19.96 + 100
y = 80.04
After x = 4 weeks, Mark has y = 80.04 dollars left on the card. We'll plot the point (4, 80.04). Then we connect those points with a straight line.
Check out the diagram below.The location of (4, 80.04) can be visually marked as (4,80) since it's close enough in my opinion.
4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.
Answer:
87
Step-by-step explanation:
earning rate (R) = $5/hr
total (T) = $287
time (t) = 40 hr
tips = T - Rt
= $287 - $5*40
$87
help me please!!!??
Answer:
1/6
0.95833333333
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/6 (1/4) + 17/24 = 1/24 + 17/24
=3/4
Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).
Answer:
e
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: A number is a minimum of 6
Step-by-step explanation:
The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.
plz help!
1. (0, y) , (2, 7); m = 1/2
y = _____
2. (4, 2) , (5, y) m = 4
y = _____
Answer:
Step-by-step explanation:
y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).
(0, y) , (2, 7); m = 1/2
We can start with y = (1/2)x + b
To find b, use one of the two given points. I'll use (2,7), since (0,y) isn't helpful.
y = (1/2)x + b
7 = (1/2)*2 + b
7 = 1 + b
b = 6
The equation is y = (1/2)x + 6.
Now find (0,y) by using x = 0:
y = 6
The second point is (0,6)
============
2. (4, 2) , (5, y) m = 4
y = mx + b
y = 4x + b
Use (4,2) and solve for b:
2 = 4*4 + b
b = -14
The equation is y = 4x - 14
Now find (5,y):
y = 4x - 14
y = 4*5 - 14
y = 20 - 14
y = 6
The second point is (5,6)
Se attached graph.
--
kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax
Answer:
10.50
Step-by-step explanation:
Answer:
she will pay $10.50 in sales tax and $160.50 in total
Step-by-step explanation:
first, find 7% of 150.
150*.07=10.5
add 10.5 to the total
is the answer i chose correct ?
Answer:
The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3
Step-by-step explanation:
If you multiply 3 by 4/3. The answer will be 12/3 or 4.
If you multiply 6 by 4/3. The answer will be 24/3 or 8.
What is the first step to solve the following equation:
7x = 42
15. (07.05 MC)
What is the solution to the equation 5x + 2(x - 4) = 5x + X - 10?
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
→ Expand the brackets
5x + 2x - 8 = 5x + x - 10
→ Collect the x terms
7x - 8 = 6x - 10
→ Minus 6x from both sides
x - 8 = -10
→ Add -8 to both sides
x = -2
URGENT PLEASE HELP WILL MARK BRAINLIEST
Answer:
The correct answer will be option D.
Step-by-step explanation:
They both have a pretty fair chance of winning.
Item 38 Pre-Test: What category of magazine saw the largest number of new titles during the late 1800s
Answer:
Women's magazines
Step-by-step explanation:
find three rational numbers between -1/2 and 1/2
Answer:
-1/4, 1/8 and 1/5.
Step-by-step explanation:
Sara took skydiving lessons. The Skydome charges $45 per hour for lessons. Sara also gave her Skydiving Instructor a tip of $20. Define the unknown in the scenario and assign it a letter or symbol. math
Answer:
45+20=t t=65
Step-by-step explanation:
t is my assigned letter
Hope this helps
Which expression has a sum of one and eight thirtieths?
Question 5 options:
three sixths + three fifths
four sixths + three fifths
four sixths + four fifths
five sixths + one fifth
Answer:
[tex]\frac{4}{6}+\frac{3}{5}[/tex]
Step-by-step explanation:
1 + [tex]\frac{8}{30}[/tex] = [tex]\frac{30}{30}[/tex] + [tex]\frac{8}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{3}{6}[/tex] + [tex]\frac{3}{5}[/tex] = [tex]\frac{3.5}{6.5} + \frac{3.6}{5.6}[/tex] = [tex]\frac{15}{30} + \frac{18}{30} = \frac{33}{30}[/tex] = [tex]\frac{11}{10}[/tex]
[tex]\frac{4}{6} + \frac{3}{5} = \frac{4.5}{6.5} + \frac{3.6}{5.6} = \frac{20}{30} + \frac{18}{30}[/tex] = [tex]\frac{38}{30}[/tex] = [tex]\frac{19}{15}[/tex]
[tex]\frac{4}{6} + \frac{4}{5} = \frac{4.5}{6.5} + \frac{4.6}{5.6} =\frac{20}{30}+\frac{24}{30}[/tex] = [tex]\frac{44}{30}[/tex] = [tex]\frac{22}{15}[/tex]
[tex]\frac{5}{6}+\frac{1}{5}=\frac{5.5}{6.5}+\frac{1.6}{5.6}=\frac{25}{30}+\frac{6}{30}=\frac{31}{30}[/tex]
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).
First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."
5x+4y=2
-5x -5x (subtract 5x from both sides to move it to the right side of your equation)
4y = 2 - 5x
/4 /4 /4 (divide all the terms by 4 to get "y" by itself)
y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.
Now, we know that our slope, m , is going to be -(5/4).
Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:
y = 5
m = -(5/4)
x = 7
y=mx+b
5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.
5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4
20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)
+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b
55/4 = b ... or b = 13.74
Answer:
m = -(5/4)
b = 13.75
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
The line passes through the points (5, -1) and (7, -5)
That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]
Calculate the slope(m) using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]
The equation of the new line perpendicular to the line above will be given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
Learn more here: https://brainly.com/question/17684243
One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers.
PLEASE HELP ME I HAVEN'T STARTED ITS DUE TMRW
Answer:
The perfect square lockers are the only ones left open.
Step-by-step explanation:
Here is a legit link to an explanation of this old puzzle problem!
https://36university.com/act-math-locker-problem-solution/
Quoting from that page:
Method 2: Who Touches Which Lockers
Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.
Here’s what I mean:
Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.
Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.
Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.
Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.
Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.
By this logic, every locker would be closed.
But there are exceptions!
Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.
Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.
Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
please help me i have until midnight. im really stressed
Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec
The time it takes for a rocket to hit the ground is 3 seconds
Step-by-step explanation:
We are given equation for height as
where
x is the time in seconds
When object hits the ground
then height becomes 0
so, we can set h(x)=0
and then we can solve for x
Subtract both sides by 18
So,
the time it takes for a rocket to hit the ground is 3 seconds
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
Can someone figure this out for me plsss
Answer:
Step 2 you should subtract 5 (aka D)
Step-by-step explanation:
Simple, its 2+ step equations.
Step 1 Look at the problem
Step 2 Subtract the second normal number by the rest (5- -12 and 19)
Step 3 answer
help me plz with this
Answer:
1-a
2-e
3-d
4- c
5- b
Step-by-step explanation:
Solve for b.
8b−1=24b+4
Enter your answer in the box.
Answer:
b=-5/16
Step-by-step explanation:
please help ASAP WHOSOEVERS first will be marked brainliest thank you
When you type the answers i ask please dont send any links pictures are fine but please make it visible and readable
I prefer you type your answers in the text box
please make it make sense
Thank you so much for helping me you do not have to solve the whole thing but if you can AWESOME
Answer:
why
Step-by-step explanation:
why
Hi i need the answer to this asap please
2 divided by 3
please explain how you got answer like show work
please do not answer in decimal form or the answer from go ogle
and please dont just answer for points
34.16 divided by 2 step by step ?
Answer:
17.08
Step-by-step explanation:
Basically, this is half of 34.16, which is 17.08.
Hoped this helped.
Answer:
427/25
Step-by-step explanation:
Change to percentage: 3416/100
Simplify: 854/25
854/25 dived by 2/1 (same thing as 2)
KEEP, CHANGE, FLIP
854/25 x 1/2= 427/25