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qwelly [4]
3 years ago
11

Duncan is running to raise awareness and money for cancer. He finds 2 people who have pledged to

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

$1008

Step-by-step explanation:

12 x 7 = $84 his aunt gives him.

1 mile = 5,280 feet

5,280 x 7 = 36,960 feet he ran.

5,280 ÷ 40 = 132 for every mile he runs

132 x 7 = $924 from his neighbor.

924 + 84 = 1,008

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A pharmaceutical company decided to manufacture new food supplement pills. It will need to add some vitamins to the mix. It deci
WINSTONCH [101]

Answer:

Minimize:    Cost = 40X+35Y

Subject to:  2X + 2Y ≥ 12

                   5X + 3Y ≥ 15

Step-by-step explanation:

To formulate a linear programming model we need to identify the variables of decision, the objective functions and the constraints.

So, the variables of decision are the quantity of every vitamin mix and we are going to call:

X: The quantity of vitamin mix 1

Y: The quantity of vitamin mix 2

Our objective function is going to be minimize the cost of the both mixes, so, the objective function is:

Minimize Cost = 40X + 35Y

Because vitamin mix 1 cost $40 and vitamin mix 2 cost $35

Finally, the constraints are defined by the following sentence: both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Ot means that we have a constraint for vitamin B and a constraint for vitamin C.

Then if Vitamin mix 1 contains 2 units of vitamin B and vitamin mix 2 contain 2 units of vitamin B, the constraint associated to vitamin B is:

2X + 2Y ≥ 12

And, if Vitamin mix 1 contains 5 units of vitamin C and vitamin mix 2 contain 3 units of vitamin C, The constraint associated to vitamin C is:

5X + 3Y ≥ 15

So, the linear programing model is:

Minimize:    Cost = 40X+35Y

Subject to:  2X + 2Y ≥ 12

                   5X + 3Y ≥ 15

7 0
3 years ago
One drumming pattern originating in Ghana can be played at 2.5 beats per second. To find the number of beats played in s seconds
Vikentia [17]
12 beats are played in 30 seconds

You would have to divide

30 / 2.5 = 12 beats

:)
8 0
3 years ago
Can someone please help
klemol [59]
You just plug in the -2 for x to get the equation -2^2–3•-2+4= 6
4 0
3 years ago
Read 2 more answers
(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3)<br><br> Enter the answer in science notification
Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})

The numeric part simply yields

3.8\times2.37 = 9.006

As for the powers of 10, you have to add the exponents, using the rule

a^b \times a^c = a^{b+c}

So, we have

10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}

So, the final answer is

9.006\times 10^{-9}

7 0
2 years ago
The coordinates of which point are (–3, –6)?point Apoint Bpoint Cpoint D
Serga [27]

Answer: I think point C

5 0
2 years ago
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