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OleMash [197]
2 years ago
10

Jenifer is buying popcorn and sodas with her friends at the movies. They can carry at most 9 items. They want at least 4 sodas a

nd at least 2 bags of popcorn. Let x represent the number of sodas and y represent the bags of popcorn.
Which system of inequalities models this situation?
Mathematics
1 answer:
erica [24]2 years ago
7 0

Answer:

x+y=6

Step-by-step explanation:

is it multiple choice?

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The basic absolute value function f(x)=|x| translated by 4 units and vertically stretched by a factor of 5 to form m(x). Write a
VARVARA [1.3K]
M(x) = 5(f(x))+4

.............
6 0
3 years ago
A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo
katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the boxV=x^2z

Volume of the box=12 ft^3\\

Therefore, x^2z=12\\z=\frac{12}{x^2}

The material for the base costs \$0.17/ft^2, the material for the sides costs \$0.10/ft^2, and the material for the top costs \$0.13/ft^2.

Area of the base =x^2

Cost of the Base =\$0.17x^2

Area of the sides =4xz

Cost of the sides==\$0.10(4xz)

Area of the Top =x^2

Cost of the Base =\$0.13x^2

Total Cost, C(x,z) =0.17x^2+0.13x^2+0.10(4xz)

Substituting z=\frac{12}{x^2}

C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}

To minimize C(x), we solve for the derivative and obtain its critical point

C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2

Recall: z=\frac{12}{x^2}=\frac{12}{2^2}=3\\

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0
3 years ago
3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweek
Eduardwww [97]
Company A offer
2,432×24(semimonthly)
=58,368 per year

Company B offer
2,390×26 (biweekly)
=62,140 per year

So company B pays a greater annual salary

Hope it helps!
5 0
3 years ago
Your teacher has asked you to explain the difference between quantitative and qualitative observations. Which statement is corre
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

B is the answer and if the next has something to do with connie then your answer is C

8 0
2 years ago
A gallon of Moo Milk cost $5.12. What is the price, in dollars, of an 8 oz glassof Moo Milk?
MA_775_DIABLO [31]
The cost for a gallon of Moo Milk is $5.12
To find the cost of 8 fl. oz. of Moo Milk, the unit price must be found.

Therefore:

One gallon of liquid equals 128 fluid ounces. 

5.12 ÷ 128 = 0.04

0.04 × 8 = 0.32

Therefore, the cost of 8 fluid ounces of Moo Milk is $0.032 

I hope this helped - Maria S.
5 0
2 years ago
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