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Nady [450]
3 years ago
5

Suki buys dog food in large 13.4-pound bags. She feeds her dog 0.3 pound of food twice a day. How many full days will the bag of

food last?
Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Hi!

Suki feeds her dog 0,3 pound of food twice a day, which means that in one day, Suki gives her dog 2 * 0,3 = 0,6 pound of food.

The total amount of dog food Suki bought for her dog is 13,4 pound-bag. To find the number of days the bag of dog food will last, we have to divide the total amount of the bag of dog food, which is 13,4 pounds, by the amount of what Suki gives her dog every day, which is 0,6 pound of food, like this:

13,4/0,6 = (multiply both values with 10) = 134/6 = 22,33

Because it is asked for the number of full days, in this case that's the lower whole number, 22 is the answer.

The bag of dog food will last full 22 days.

Hope this helps!

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Evaluate the expression and write your answer in the form a + bi. 1) (2-6i)+(4+2i)2) (6+5i)(9-2i)3) 2/(3-9i)4) (3 − 5i)(7 − 2i)
laiz [17]

Answer:

Step-by-step explanation:

Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.

1) (2-6i)+(4+2i)

open the parenthesis

= 2-6i+4+2i

collect like terms

= 2+4-6i+2i

= 6-4i

2)  (6+5i)(9-2i)

= 6(9)-6(2i)+9(5i)-5i(2i)

= 54-12i+45i-10i²

= 54+33i-10i²

In complex number i² = -1

= 54+33i-10(-1)

= 54+33i+10

= 54+10+33i

= 64+33i

3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i

= 2/3-9i*3+9i/3+9i

=2(3+9i)/(3-9i)(3+9i)

= 6+18i/9-27i+27i-81i²

= 6+18i/9-81(-1)

= 6+18i/9+81

= 6+18i/90

= 6/90 + 18i/90

= 1/15+1/5 i

4) For (3 − 5i)(7 − 2i)

open the parenthesis

= 3(7)-3(2i)-7(5i)-5i(-2i)

= 21-6i-35i+10i²

= 21-6i-35i+10(-1)

= 21-41i-10

= 11-41i

4 0
3 years ago
The driving distance between Manchester and london is 195 miles. Fairs intends to travel from Manchester to London by coach. The
Nadya [2.5K]

Answer:

7:24 pm

Time taken will be longer

Step-by-step explanation:

Given that:

Distance between Manchester and London = 195 miles

Departure time = 3.30 pm

Average speed of Coach = 50 mph

Arrival time in London :

Time taken = distance / speed

Time taken = 195 / 50 = 3.9 hours (3 hours (0.9 * 60) = 3 hours 54 minutes

= 3:30 pm + 3 hours 54 minutes = 7:24 pm

If the speed is Lower then the Timetaken will be longer and subsequently coach will arrive after 7:24 pm

6 0
3 years ago
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