Answer:
He earned 200 dollars
Step-by-step explanation:
He got a 20% profit.
40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:
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
Please help with this question.
Thanks.
Answer:
10
Step-by-step explanation:
E = V + 1/2mv^2
700 = 300 + 1/2*8*v^2
400 = 4v^2
100 = v^2
v = 10
Please please help:(((((
I will give brainliest
Answer:
<AMC=75°Step-by-step explanation:
if <C=90 and <B = 30, then <A=60 (because <A+<B+<C=180, as ABC is a triangle)
if CM is a angle bisector then it divides <C in half, so <ACM=<MCB=45
since <ACM=45;
<A = 60;
then <AMC = 180-(45+60),
<AMC = 180-105,
<AMC = 75.
Do number 12 on the pic
Answer:
$21.83
Step-by-step explanation:
The amount spent will be the difference between the starting balance and the ending balance:
18.53 -(-3.30) = 18.53 +3.30 = 21.83
You spent $21.83 on lunch this week.
Martin Brothers Moving rents moving vans by the hour. The company charges a flat fee of
$17.99, plus an additional $19.99 per hour.
Write an equation that shows how the cost of renting a moving van, y, depends on the
number of hours the customer rents it for, x.
Answer:
y = 19.99x + 17.99
(I just did it)
Answer:
Step-by-step explanation:
2
Mr Denmark has 28 students in his class he wants to see them in seven equal rows how many students will be nitro
According to the Rational Root Theorem, the following are potential roots of f(x)=9x2−3x−2.1,
−1,23,19
Which is an actual root of f(x)?
Step-by-step explanation:
9x2 -3x -2 factors to (3x-2)(3x +1)
solve 3x-2 =0 and 3x+1=0
making the roots -1/3 and 2/3
100 points plus brainiest to right answer.
Answer:e d
Step-by-step explanation:
4. On Monday, a department store sold 30 white and blue sweaters in total. If a white sweater is 398 baht, and a blue sweater is 420 baht, the total sales are 12,424 baht. How many sweaters in each color did this department store sell?
The number of white sweaters will be 8 while the number of blue sweaters will be 22.
Let white sweaters be represented by w.Let blue sweaters be represented by bTherefore, the equation to solve the question will be:
b + w = 30 .....i
420b + 398w = 12424 .... ii
From equation i, b = 30 - w
Since 420b + 398w = 12424
420(30 - w) + 398w = 12424
12600 - 420w + 398w = 12424
Collect like terms
- 420w + 398w = 12424 - 12600
-22w = - 176
w = 176/22 = 8
Since b + w = 308
b = 30 - 8 = 22
Therefore, there are 8 white and 22 blue sweaters.
Read related link on:
https://brainly.com/question/25734188
Lie is solving the quadratic equation by completing the square.
3x2 + 18x – 8 = 0
3x2 + 18x = 8
What should Lie do next?
Write the polynomial as a binomial squared.
Factor 3 out of the variable terms.
Isolate the variable x.
Add 8 to both sides of the equation.
Answer:
Factor 3 out of the variable terms
Answer:
Factor 3 out of the variable terms.
Step-by-step explanation:
To complete the square the coefficient on the x^2 term must be 1
Therefor
Factor 3 out of the variable terms.
9. Gregory's nine chickens laid an average of six eggs each per week. Gregory sold those eggs for $300 per dozen. How much money did he collect in two weeks if he sold all his eggs??
Step-by-step explanation:
Average in one week 6eggs
2 weeks 12 eggs
1 dozen =12 eggs
1 dozen =300 dollars
2*300=600 ans
Answer:
$2,700
Step-by-step explanation:
The first thing we should do is to find the number of eggs in two weeks.
6 eggs each for 9 chickens which means:
6 * 9 = 54
54 eggs per week.
In two weeks,
54 * 2 = 108
108 eggs for two weeks
Now a dozen is equivalent to 12 eggs. So if you divide 108 to 12:
108 ÷ 12 = 9
So it is 9 dozens. Then he's selling those eggs for $300 per dozen.
300 * 9 = $2,700
That's it.
Susan has a collection of 90 nickels and dimes. If the number of nickels is five times the number of dimes, how many nickels and how many dimes does she have?
Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
There are 75 nickels and 15 dimes does she have.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Susan has a collection of 90 nickels and dimes.
And, The number of nickels is five times the number of dimes.
Now,
Since, The number of nickels is five times the number of dimes.
Let number of dimes = x
Then, Number of nickels = 5x
Since, Susan has a collection of 90 nickels and dimes.
Hence, We can formulate;
⇒ 5x + x = 90
⇒ 6x = 90
⇒ x = 15
Thus, The number of dimes = 15
And, Number of nickels = 5 × 15 = 75
Therefore, There are 75 nickels and 15 dimes does she have.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea
Answer:
15%
Step-by-step explanation:
24/160 = 0.15
0.15*100 = 15
noah is taking a survey after answering 16 questoins
Answer:
ok
Step-by-step explanation:
I am ready noah for your survey :)
A satellite’s original velocity is 40000
m/s. After 10 minutes, the velocity of
the satellite is 4000 m/s. What is the
satellite’s acceleration?
Answer:
-60m/s²
Step-by-step explanation:
The first thing to do is know the equation:
(Final velocity - initial (original) velocity) / time (seconds)
Next you check the units:
10 minutes = 600 seconds
Then you use the equation to solve the problem:
(4000 - 40000) = -36000
-36000 / 600 = -60
Units for acceleration = m/s²
Answer = -60m/s²
The value is negative because the satellite's velocity has decreased
Hope this helps.
1/6 x 2/3 please help
Answer:
2/18 or 1/9
Step-by-step explanation:
just directly multiply it 2×1=2
6×3=18 so 2/18 simplify 1/9
GIVING BRAINLIST! PLS ANSWER ASAP
When you have an inequality with a variable term on both sides, what should you use to collect all the variable terms on one side and all the constant terms on the other side?
Answer:
if they are like terms add or subtract them to the one side to make it positive then for the constants add or subtract then to the other side and divide the variable to make it =1 ex: 2x-3=-1x+3
add 1x add 4
3x = 6
x=2
in what time is sum of money triples itself at 5%p.a
Answer:
Step-by-step explanation:
40 years
How do you write 9.6004 × 10^15 in standard form?
Answer:
9600400000000000 is in standard form
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
what is the smallest and largest you can make with 1,7,3,5 using each number only once
Step-by-step explanation:
the smallest :13
the largest :75
Answer:
smallest :13
largest :75
can i have help with geometry??????
Answer:
Yeah sure, but I cant guarantee i will answer all the questions. What grade level?
15 Brian spends 1 hours carving the parts for a model airplane. He
spends 3 times as long
assembling and painting the model. How
many hours does Brian spend carving, assembling, and painting
the model? Explain how you found your answer.
Publishing Company. Image
Answer:
4 hours
Step-by-step explanation:
1 hour x 3 = 3 hours
So Brian spent 3 hours assembling and painting the plane
However the question asks for the total time, so we would do:
1 hour + 3 hours to get 4 hours
So in total, Brian spent 4 hours carving, assembling and painting the plane
Hope this makes sense.
also, this one I have an answer but not rly sure so um help
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3
what single transformation rule would be the same as a reflection across y=5 and then across the line y=-2?
I know the answer is T(0,-14) but I don’t understand how it’s -14?
Janna is making a prediction of the frequency of a key that is 12 keys from middle C. A 2-column table with 5 rows. The first column is labeled number of keys above middle c with entries 0, 1, 2, 4, 8. The second column is labeled frequency (hertz) with entries 277. 18, 293. 66, 311. 13, 249. 23, 440. 0. Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set.
Answer:
(d) extrapolation, because a key that is 12 keys from middle C is outside the data set
Step-by-step explanation:
Any prediction made outside the data set is called "extrapolation." The key 12-keys out is outside the domain 0–8 of the data set.
Answer:
(d) extrapolation, because a key that is 12 keys from middle C is outside the data set
Step-by-step explanation:
edg 2022
solve pls brainliest
Answer: 1 is none 2=A 3=B 4=C
Step-by-step explanation:
see it in shapes
Answer:
1. none
2. a
3. b
4. c
Step-by-step explanation:
1: This represents the net of a triangular prism, for it has a square in the middle, two triangles, and two other squares/rectangles. However, there is no triangular prism among the three solids, so the answer for this is none.
2: This represents the net of a cone, for it has a circle as the base and a sector that gives the cone it's curved surface. There is one cone among the three solids, and the answer for this one is A.
3: This represents the net of a tetrahedron, for it consists of 4 equilateral triangles and having one of the triangles as its base. Therefore, the answer for this one is B.
4: This represents the net of a square pyramid, composed of a square as the base and 4 triangles surrounding it. There's one square pyramid among the answer choices, so the answer for #4 is C.
Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.
Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.
Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8
Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:
26 = 1.4r + 8
26 - 8 = 1.4r
18 = 1.4r
18 / 1.4 = r
12.85 = r
Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.
Quick math check:
1.4(12) + 8 = $24.8 which is less then $26.
I hope this helps! :)
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (0,0); y = 2/5x + 8
Answer:
(y-0)=2/5(x-0)
What is the slope of the line ( part 2 )
Answer:
-1/2
Step-by-step explanation: