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2 years ago

If you have 18 students and all are paired up at least once how many projects in the year

Mathematics

2 answers:

devlian [24]2 years ago

5 0

9. A pair is two. 18 divided by two is 9.

KatRina [158]2 years ago

4 0

It would be 9 because you get half the number of projects because 18 students are partners and if you divide that you would have 9 groups of 2 and if you multiply that by the number of projects you would get the number of projects (ex:18 dividend by 2 it's 9 then if there is three projects assigned you multiply 9 by 3 to get 27 projects got it?

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A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square

SOVA2 [1]

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

$\text{Radius}=\frac{\text{21 feet}}{2}$

$\text{Radius}=\text{10.5 feet}$

$\text{Area of circle}=\pi r^2$

$\text{Area of circle}=\pi (\text{10.5 feet})^2$

$\text{Area of circle}=3.14*110.25\text{ feet}^2$

$\text{Area of circle}=346.185\text{ feet}^2$

$\text{Area of circle}\approx 346.19\text{ feet}^2$

Therefore, 346.19 square feet of flooring will be required.

3 0

3 years ago

Read 2 more answers

Vaselesa [24]

Answer:

sorry kailangan ko lmg ng points

6 0

2 years ago

(6th grade math)

Montano1993 [528]

Answer:

He drank 15.93 ounces.

4 0

2 years ago

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Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?

faust18 [17]

Answer:

She was paid $55.

Step-by-step explanation:

15%=0.15

8.25/0.15=55

8 0

2 years ago

The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts o

Nataly [62]

Answer:

a) Objective function (minimize cost):

$C=0.50A+0.20B$

Restrictions

Proteins per pound: $16A+8B\leq 12$

Vitamins per pound: $4A+8B\leq 6$

Non-negative values: $A,B\geq0$

b) Attached

c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

Step-by-step explanation:

a) The LP formulation for this problem is:

Objective function (minimize cost):

$C=0.50A+0.20B$

Restrictions

Proteins per pound: $16A+8B\leq 12$

Vitamins per pound: $4A+8B\leq 6$

Non-negative values: $A,B\geq0$

b) The feasible region is attached.

c) We have 3 corner points. In one of them lies the optimal solution.

Corner A=0 B=0.75

$C=0.50*0+0.20*0.75=0.15$

Corner A=0.5 B=0.5

$C=0.50*0.5+0.20*0.5=0.35$

Corner A=0.75 B=0

$C=0.50*0.75+0.20*0=0.375$

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.

The feasible region changes two of its three corners:

Corner A=0 B=0.625

$C=0.50*0+0.20*0.625=0.125$

Corner A=0.583 B=0.333

$C=0.50*0.583+0.20*0.333=0.358$

Corner A=0.75 B=0

$C=0.50*0.75+0.20*0=0.375$

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

3 0

3 years ago