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Marianna [84]
2 years ago
8

Last month you spent ​$40 on clothing. This month you spent ​120% of what you spent last month. Set up a proportion to model thi

s situation. How much did you spend this​ month?
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
4 0

Answer:

$48

Step-by-step explanation:

Given that:

Money spent on clothing last month = $40

Money spent this month is 120% of the spending of the last month.

To find:

A proportion to model this situation.

And the spending done this month?

Solution:

Let us have a look at 120% first.

120\%= \dfrac{120}{100} = \dfrac{6}{5}

\frac{6}{5} of x can be found by comparing x with 5, then we have to find the equivalent of 6.

Here, x is 40.

5 parts are equivalent to 40

1 part is equivalent to \frac{40}{5} = 8

6 parts are equivalent to 8\times 6 = 48

OR

simply:

40 \times \dfrac{120}{100} = 48

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pogonyaev

Answer: 91

Step-by-step explanation:

Given : The number of documentaries = 5

The number of comedies = 7

The number of mysteries = 4

The number of horror films =5

The total number of movies other than comedy = 14

Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

^7C_7\times^{14}C_2\\\\\dfrac{7!}{7!(7-7)!}\times\dfrac{14!}{2!(14-2)!}\\\\=(1)\times\dfrac{14\times13}{2}\\\\=91

Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .

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3 years ago
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Answer:

D

Step-by-step explanation:

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3 years ago
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3 years ago
A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calcu
prisoha [69]

Answer:

Probably 128 km/h, but maybe 98.5 km/h. See below.

Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h

If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

3 0
2 years ago
Alexander is going to buy a stereo from his older brother with $93 he will pay him an equal amount of money each month for 12 mo
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Your answer would be B.

Step-by-step explanation:

$93 / 12 = $7.75

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