Answer:
Its going to cost him 22.167
Step-by-step explanation:
Divide $9.50 by 3 = 3.167
multiply it by 7= 22.167
Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka Bar has 4 grams of natural sugar and 1 gram of sucrose. Each Everlasting Gobstopper has 2 grams of natural sugar and 3 grams of sucrose. Mr. Wonka has 60 grams of natural sugar and 75 grams of sucrose. If each Everlasting Gobstopper has a profit of $1.3 and each Wonka Bar has a profit of $3.2, how many of each candy would give him the maximum profit?
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
Answer:
wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
x2 + 45x = -200 Using the quadratic formual and the discirimnat
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
[tex]b^{2}-4ac[/tex]
Every quadratic formula has the structure:
[tex]ax^{2} +bx+c=0[/tex]
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
[tex]x^{2} +45x+200=0[/tex]
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
[tex](45)^{2} -4(1)(200)[/tex]
Solve:
[tex]2025-800=1225[/tex]
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]
(Same discriminant value)
[tex]x=\frac{-45+/-35}{2}[/tex]
Now to find the two solutions, we use both signs in the equation. Solution 1:
[tex]x=\frac{-45+35}{2}[/tex]
[tex]x=\frac{-10}{2}=-5[/tex]
Our first solution is -5, now for the second:
[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]
The two solution to this equation are -5 and -40.
Hope this helped!
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
Are these expressions equivalent?
yes or no
Answer:
yes they are equivalent
(2x−6)+4(x−3) i need this answer
Answer:
(2x-6)+4(x-3)
2x-6+4x-12
6x-18
6(x-3)
Subtract.
(2 + 7i)-(3-8i)
The system of linear equations -2x+y=8 and -3x-y=7
Answer: x=-3, y=2
Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2
Answer:
(-3,2)
Step-by-step explanation:
You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing
Simultaneous is easier so lets get started.
1st equation : [tex]-2x+y=8[/tex]
2nd equation: [tex]-3x-y=7[/tex]
We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.
Like, take the 1st equation
[tex]-2x+y=8\\y=8+2x[/tex]
the equation is arranged in a different manner but its the same thing.
This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation
[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]
we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.
[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]
The solution set of our system of linear equations is
(-3,2)
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
85% of 19 = 16.15
Step-by-step explanation:
can anyone help this is my last try agian
Answer:
The bakery sold 340 that day
Step-by-step explanation:
119 is 35 percent of 340
Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?
Answer:
358
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
The perimeter of a rectangle is 72 inches. The ratio of the width to the length is 4:5. What is the width of the rectangle?
9514 1404 393
Answer:
16 inches
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 36 inches.
The width is 4/(4+5) = 4/9 of the total of length and width, so is ...
(4/9)(36 inches) = 16 inches
The width of the rectangle is 16 inches.
The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?
Help
Answer:
€20,000
Step-by-step explanation:
% decrease = (original price of the car - new price) ÷ original price × 100
Let "x' represents the original price before the decrease.
New price = €13,000
% decrease = 35%
Plug in the values into the equation
[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]
[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]
Multiply both sides by x
[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]
[tex] 35x = 100x - 1,300,000 [/tex]
Subtract 100x from both sides
[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]
[tex] -65x = -1,300,000 [/tex]
Divide both sides by -65
[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]
[tex] x = 20,000 [/tex]
The car was worth €20,000 before the decrease.
Which of the following is not true?
Answer:
d) 1/2 ÷ 4 = 1/2 • 4/1
Step-by-step explanation:
when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)
when multiplying just multiply straight across
You buy a pair of jeans at a department store. A receipt, titled "Department Store". It shows the bill for a pair of jeans. Jeans, 39.99; Discount, negative 10.00; Subtotal, 29.99; Sales Tax, 1.95; Total, 31.94. The line at the bottom reads, Thank You. a. What is the percent of discount to the nearest percent? The percent of discount is %. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is %. c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is %.
Answer:
25%
6.5%
35%
Step-by-step explanation:
Given the invoice :
Bill for a pair of Jean
Jeans ______39.99
Discount ___ - 10.00
Subtotal ____ 29.99
Sales tax ____ 1.95
Total _______ 31.94
A) % of discount to the nearest %
Discount amount = % discount * price
10 = x% * 39.99
10/39.99 = x%
0.2500625 = x%
x = 0.2500625 * 100%
% discount = 25%
% of sales tax:
Sales tax amount = % tax * Subtotal
1.95 = x% * 29.99
1.95/29.99 = x%
0.06502 = x%
x = 0.06502 * 100%
x = 6.5%
Markup before discount = 60%
Markup after discount = (60 - 25)% = 35%
(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C
solve for x
1/5x+24=50
0.4x+18=-13
3x-5/6=1/6
plz awnser as soon as possible this homework i sue by 11:00 and there are more problems
Answer:
x=130, x=-77.5, x=1/3
Step-by-step explanation:
1st equation:
1/5x + 24 = 50
1/5x = 26
x = 26(5)
x = 130
2nd equation:
0.4x + 18=-13
0.4x = -31
x=-77.5
3rd equation:
3x - 5/6 = 1/6
3x = 1
x=1/3
WILL GIVE BRAINLIEST!!!!!!
Write a paragraph explaining the development and impact of the Atlantic slave trade on West Africa
Answer:
this isn't a social studies stream
ask the question again but in a social studies thingy
Cindy can waterproof 400 ft2 of decking with 2 gallons of sealant. How many gallons should Florence buy for a 1200 ft2 deck?
Group of answer choices
Florence should buy 6 gallons of sealant for 1200 ft² of decking.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, 400 ft² of decking requires 2 gallons of sealant.
400 ft² = 2 gallons
400 ×3 ft² = 2 × 3 gallons
1200 ft² = 6 gallons
Hence, Florence should buy 6 gallons of sealant for 1200 ft² of decking.
To learn more about ratios, click here:
https://brainly.com/question/13419413
#SPJ2
Write the equation for this situation, then give the x-intercept, y-intercept, and slope. A person is wanting to burn 500 calories a day through excercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running. ALSO - explain what the x and y-intercepts mean in this situation. Your answer:
Answer:
[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.
Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.
A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.
So, equation becomes [tex]7.3x+11.3y=500[/tex]
For [tex]x[/tex]-intercept, put [tex]y=0[/tex]
[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]
So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]
For [tex]y[/tex]-intercept, put [tex]x=0[/tex]
[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]
So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]
Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]
[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]
[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.
[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.
Multiply the polynomials (3y^3 + 2y^2 – 7y) and (2y^2 – 4y + 4).
Answer:
6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y
Step-by-step explanation:
Expand the following:
(3 y^3 + 2 y^2 - 7 y) (2 y^2 - 4 y + 4)
| | | | 3 y^3 | + | 2 y^2 | - | 7 y | + | 0
| | | | | | 2 y^2 | - | 4 y | + | 4
| | | | 12 y^3 | + | 8 y^2 | - | 28 y | + | 0
| | -12 y^4 | - | 8 y^3 | + | 28 y^2 | + | 0 | + | 0
6 y^5 | + | 4 y^4 | - | 14 y^3 | + | 0 | + | 0 | + | 0
6 y^5 | - | 8 y^4 | - | 10 y^3 | + | 36 y^2 | - | 28 y | + | 0:
Answer: 6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y
What’s the surface area to these 2 pls help me
Answer:
the answer is 40
Step-by-step explanation:
its simple try and do the link that I put you'll understand how to do this better
What is -14x+28+6x=-44 and show your work pls and thankyou.
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
If a=21m and c=35m what is the length of side b using the pythagorean
theorem?
28m
28
45
What's 30% of 40 and how much are you saving
A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage
SP of a machine = Rs. 990
Profit% = 10 %
SP of other machine = Rs. 1960
loss% = 2 %
Find:his gain or loss percentage
Solution:We know that,
CP * (100 + profit%)/100 = SP
So,
First machine :
CP * (100 + 10)/100 = 990
⟹ CP = 990 * 100/110
⟹ CP = Rs. 900
Second machine :
We know that,
CP * (100 - loss%)/100 = SP
⟹ CP * (100 - 2)/100 = 1960
⟹ CP = 1960 * 100/98
⟹ CP = Rs. 2000
Now,
We have to find the total loss or profit percentage.
Total SP = 990 + 1960 = Rs. 2950 Total CP = 900 + 2000 = Rs. 2900.We observe that,
SP > CP.
so, a gain is occured.
gain % = gain/CP * 100
gain = SP - CP
So,
gain% = (2950 - 2900)/2900 * 100
⟹ gain% = 50/29
⟹ gain% = 1.72 %
∴ A gain of 1.72% is occured in the whole transaction.
I hope it will help you.
Regards.
Answer:
HELLO SISO❤
IT'S ME YIREN
Step-by-step explanation:
→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%
1. Transform pentagon BEARS According to (x,y) → (x + 6, y + 8). Write the coordinates for
pentagon B'E'A'R'S' and sketch pentagon B'E'A'R'S' on the same coordinate plane
Answer:
2,1
Step-by-step explanation:
Please answer this please...
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
someone text me on sc queenalyssa_05
Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.
Answer:
The rate of the second car is 30 miles/hour
Step-by-step explanation:
The Given formula is:
4(r + 15) + 4r = 300, where r is the rate for the second car
Let us solve the equation to find r
→ Multiply 4 by (r + 15) first
∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60
→ Substitute it in the equation above
∴ 4r + 60 + 4r = 300
→ Add the like terms in the left side
∵ (4r + 4r) + 60 = 300
∴ 8r + 60 = 300
→ Subtract 60 from both sides
∴ 8r + 60 - 60 = 300 - 60
∴ 8r = 240
→ Divide both sides by 8
∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]
∴ r = 30
∴ The rate of the second car is 30 miles/hour