200 POINTS! PLEASE HELP!!!
You have $75 dollars to spend on side dishes for a party. Pasta salad costs $2.50 a pound and fruit salad costs $3.75 a pound. you must buy at least 5 pounds of pasta salad and 3 pounds of fruit salad. There are 40 people to feed and there needs to be at least a quarter of a pound of each side dish for every guest. You want to be able to buy the most amount of food for the party.
let x = pounds of pasta salad and y = pounds of fruit salad.
The objective function is f=x+y.
The vertices of the feasible region are (5,5) (5,16.6) (25.5,3) and (7,3)
what is the maximum amount of food you should buy?
how much pasta should you buy?
how much fruit salad should you buy?
Answer:
So, I cannot answer the whole question, but I can give you my thought process. SO, since you need to feed 40 people with a quarter of each meal - you would need 10 pounds of each dish. Therefore the information about the "least amount" of each dish is met. As mentioned, x = pounds of pasta salad, while y = pounds of fruit salad. this means x would equal 10 and y would equal 10. In order to find out what it would cost is:
2.50 x 10 = 25 ($25)
3.75 x 10 = 37.5 ($37.50)
the function could possibly be f=10+10?
The maximum amount of food you should buy would be 20 pounds of food, considering you need to have enough for each guest.
You should buy 10 pounds or $25 worth of pasta salad, and 10 pounds, or $37.50 worth of fruit salad.
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a. Name a pair of parallel lines.
Increased by 6 is equal to 13
Answer: 7
Step-by-step explanation: 13 - 6 = 7
If the expression 4x-3 is equal to 11 for some value of x, then what is the expression 4x-1 equal to for
the same value of x?
(1) -15
(3) 9
(2) 13
(4) -11
On average in 2009, the school
cafeteria served 515 students
per day. In 2016, the average
number of students served
per day had decreased to 403.
Determine the annual rate of
change.
Answer:
hello what is this all stuff you typed
What is the equation of the line in slope-intercept form?
Answer:
y = 1/8x + 6
Step-by-step explanation:
y = 1/8x + 6
Lines p and q are parallel in this diagram.
What is the sum of the degree measures of angles x and y?
Enter your response here:
P
Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a
decimal.
9
45
Answer:
135
Step-by-step explanation:
a = 45 {Vertically opposite angles}
b = a {p //q , Corresponding angles are equal}
b = 45
x+y + b = 180 {Angle sum property of triangle}
x + y + 45 = 180
x + y = 180 - 45
x + y = 135
The Equation of line f is y =4/9x+3/2. line g is perpendicular to f. What is the slope of line g?
Answer:
slope of line g = -9/4
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes:
m1 × m2 = -1 or [tex]m1 = -\frac{1}{m2}[/tex]
If the slope of line f = 4/9, as given the linear equation, y = 4/9x + 3/2, then the slope of line g must be -9/4. Because if you multiply both slopes, the product will be -1:
Let m1 = slope of line f = 4/9
m2 = slope of line g = -9/4
m1 × m2 = -1
[tex](\frac{4}{9}) (- \frac{9}{4})[/tex] = -1
Therefore, the slope line g = -9/4.
Please mark my answers as the Brainliest, if you find my explanations helpful :)
I need help with this one as well and again no links please
Answer:
bottom right is the answer or d if
a b
c d
Step-by-step explanation:
The difference of the square of a number and 12 is equal to 4 times that number. Find
the positive solution.
Answer:
12.3246
Step-by-step explanation:
The equation to be solved is [tex]x^{2} -10=4x[/tex]
Rearranging: [tex]x^{2} -4x-12=0[/tex]
The quadratic formula is one way to solve this equation.
[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}=\frac{12+\sqrt{12^{2}-4*1*4} }{2*1}[/tex]
Note that only the positive variation of the quadratic formula was used. This is because it is the only variation of this formula that produces a positive result for this equation. This is not always true, so it is best to work both versions of the formula for problems like these.
[tex]x=\frac{12+\sqrt{160} }{2} =\frac{12+4\sqrt{10} }{2}=6+2\sqrt{10} =6+6.3246=12.3246[/tex]
If the negative version of the quadratic equation was used, the final (incorrect) answer would be x= -0.3246.
Need help photo above
Answer:
I think it is 2.
Step-by-step explanation:
Find the equation of the line that contains the given point and has the given slope.P(−1, 7), m = −3
Answer:
y = -3x+4
Step-by-step explanation:
y = -3x+b
7=-3(-1)+b
7=3+b
4=b
What is the quotient when 8465 is divided by 5?
Answer:
The quotient would be 1693
When 8465 is divided by 5, the quotient is 1693. The quotient of a fraction is the whole number obtained when the fraction is simplified.
What is meant by quotient?The number being divided (in this case, 15) is known as the dividend, and the number being divided by (in this case, 3) is known as the divisor. The quotient exists as the result of the division.The quotient is the result of performing division operations on two numbers. It is essentially the result of the division method. Arithmetic division employs four key terms: divisor, dividend, quotient, and remainder.The quotient is the result of dividing one number by another. For example, if we divide 6 by 3, the result is 2, which is the quotient. The quotient can be either an integer or a decimal.Therefore,
To sum up, 8465/5 = 1693.
It is a whole number with no fractional part.
As division with remainder the result of
= 8465 ÷ 5
= 1693
When 8465 is divided by 5, the quotient is 1693
To learn more about quotient, refer to:
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Help!!! Please answer all three of them
Answer:
Step-by-step explanation:
for the first one, solve by using the equation
180 = 43 + (x) + (x + 39)
137= x + x + 39
98 = 2x
x = 49
x + 39 = 88
for the second one, 5 and 7 are vertical angles, which are the two equal angles on opposite ends of an intersection. This means the answer is E.
for the third one, to find the exterior angle, you have to find that last angle inside the triangle. that means subtracting 85 and 65 from 180 to get 30. Now, subtract that 30 from 180 to get the exterior angle c. Straight lines are 180 degrees, so by finding that other angle and subtracting it from the total 180, you find the exterior angle. The exterior angle c is 150 degrees.
Square root of -24 not in decimal form
Answer:
-24/5
Step-by-step explanation:
PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!!!
Answer:
z = 82°
x = 7°
Step-by-step explanation:
180° - 82° = 98° + 7°
= 105° ÷ 15
= 7°
ywc :) Mark me brainliest
How many dekameters are in 225 millimeters? Use the metric table to help answer the question.Metric Tablekilo-hecto-deka-unitdeci-centi-milli-1,0001001010.10.010.001
How many dekameters are in 225 millimeters? Use the metric table to help answer the question.Metric Tablekilo-hecto-deka-unitdeci-centi-milli-1,0001001010.10.010.001
Translate the following sentence into math symbols. Then solve showing all the steps. x more than 6 = -48
Answer:
X = - 54
Step-by-step explanation:
6 + x = - 48
x = - 48 - 6
6(x − 5) means what in word expression
Answer:
gnvfbbbj brújula vbv hhh ffff ghhh vvgrr hggg gggg
lots of points please help!! tysm!! image explains everything
in order to get free shipping, the order must be at least $35
Answer:
Orders of $35 or more of eligible items qualify for FREE Shipping. Shipping is free if your order includes at least $35 of eligible items. Any item with "FREE Shipping" on the product detail page that is fulfilled and shipped by Amazon is eligible and contributes to your free shipping order minimum
HELP ME PLS
If you do the unit review, you will do well on the test.
If you do well on the test, then you will do well in the course.
Therefore, if you do the unit review, then you will do well in the course.
A. This conclusion was drawn using the law of detachment
B. This conclusion was drawn using the law of contrapositive
C. This conclusion was drawn using the law of syllogism
D. An invalid conclusion was made
Answer:
A.The conclusion was drawn from the law of detachment
if p is q
and q is r
then p is r
Step-by-step explanation:
PLS MARK BRAINLIEST
What is -2z multiplied by 3x plus -2 multiplied by 4z
Answer:
loading, please wait...
Step-by-step explanation:
What is the total total amount of digits you need to number a book of 1150 pages
Step-by-step explanation: When numbering the pages of a book, which has 1,150 pages, we need: 9 one-digit numbers (from 1 – 9);90 two-digit numbers (from 10 – 99);900 three-digit numbers (from 100 – 999);151 four-digit numbers (from 1,000 – 1,150).
The total amount of digits you need to number a book of 1150 pages will be 3493 digits.
What is an arithmetic operation?It is described as the process through which we add, subtract, multiply, and divide numerical values. It has the fundamental operators +, -, and.
There are pages for the digits totaling,
Single digits : (1 - 9) = 9 pages
Double digits : (10 - 99) = 90 pages
Triple digits : (100 - 999) = 900 pages
Four digits : (1000 - 1150) = 151 pages
By summing all digit counts such as, one may determine the total number of digits.
= (9 + 180 + 2700 + 604)
= 3493 digits.
Thus, the total amount of digits you need to number a book of 1150 pages will be 3493 digits.
Learn more about the arithmetic operation here:
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Dollar City is having an end-of-year sale, and all prices are being slashed. On the graph below, the xxx-axis represents the old price, and the yyy-axis represents the new sale price, in dollars.
Not to be outdone, Penny World, whose manager was a math major, has announced that all sale prices (S)(S)left parenthesis, S, right parenthesis will be determined according to the equation :
S=(0.15)PS=(0.15)PS, equals, left parenthesis, 0, point, 15, right parenthesis, P,
where PPP is the original price.
Which store’s sale is better?
Answer:
Penny's World
Step-by-step explanation:
I know it is. I had the same question and I did that answer and got it right.
Pennys World sale is better.
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Learn more about Problem-solving here: brainly.com/question/13818690
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HELP PLS i rlly need help
Answer:
Step-by-step explanation:
1) Line h has a positive slope . True
Direction is upward. so, it has positive slope.
2) Line g has a y-intercept of 2. True
Yes, line g intersect at y-axis at (0,2).
5) Line s and line g has negative slope.True.
Direction of the slope is downward.
6) Line h is steeper than line r .True
What is the answer?? Plz help
Answer:
2 more?
Step-by-step explanation:
The volume of a rectangular prism box can be represented by the function V(x) = 2x3 + 5x2 − 3x. If the height of the box is x cm, which of the following can represent the length and width of the container?
The volume of a box is the amount of space in the box.
The expressions that can represent the length and the width are: [tex]\mathbf{(2x - 1)\ and\ (x + 3)}[/tex]
The volume is given as:
[tex]\mathbf{V(x) =2x^3 + 5x^2 - 3x}[/tex]
Divide through by height (i.e x), to get the base area
[tex]\mathbf{A(x) =2x^2 + 5x - 3}[/tex]
Expand
[tex]\mathbf{A(x) =2x^2 + 6x - x - 3}[/tex]
Factorize
[tex]\mathbf{A(x) =2x(x + 3) - 1(x + 3)}[/tex]
Factor out x + 3
[tex]\mathbf{A(x) =(2x - 1) (x + 3)}[/tex]
Hence, the expressions that can represent the length and the width are: [tex]\mathbf{(2x - 1)\ and\ (x + 3)}[/tex]
Read more about volumes at:
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A sequence is defined by g(1) = 3 and g(n) = 2 • g(n-1) for n > 0. Which statement defines the nth term of g?
A. G(n) = 3 + 2(n-1) for n ≥ 1
B. G(n) = 3 + 2n for n ≥ 1
C. G(n) = 3 • 2^n-1 for n ≥ 1
D. G(n) = 3 • 2^n for n ≥ 1
Answer:
because g(n) = 2.g(n - 1) => this is a geometric progression
=> g(n) = 3.2^(n-1)
Step-by-step explanation:
Answer get brainliest
Answer:
Step-by-step explanation:
you need to use the protractor form mathswatch to get the answer