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3 years ago

3/8x-3/5y=33/88 4/7x+4/5y=37/35

Mathematics

1 answer:

Alinara [238K]3 years ago

4 0

X=301/275
y=13/220
Solution
Please find the attached image to get the complete solution.

I used online calculator to solve the system

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A scale drawing for an apartment shown below in the drawing is 2 cm represent 5m

rjkz [21]

Firstly, found out a square that is 7cm long and 5cm wide, you get the 7 from adding 5+2 across the top. Don't forget that, 2cm = 5m so you get the real area we need to work out how many meters are in each length.

So, firstly you know that in 1 cm there is 2.5m, with this information you can then do 7x2.5 to get the distance across the top in meters. That gives you 17.5 megers for the top and 5x2.5 = 12.5m.

After finding that, you have to find the area of this square, so you do 17.5m x 12.5m = 218.75m^2 for the biggest square, that's the total area however we want the bedroom area.

Therefore we have to workout how much area is in the living room and take that away from the total amount. Since we found out how many meters are in the 5cm we can use that here again. 12.5m x 12.5m = 156.25m^2 with this we do 218.75m^2 - 156.25m^2 = 62.5m^2 is for the bedroom and small empty space. now we just need to find the small empty space.

To do that, we do 5-4 which leave us with 1 cm and we already know it's across length is 2, with the information provided and stated we know that it's 2.5m x 5m = 12.5m^2

Then finally we do 62.5m^2 - 12.5m^2 to get the bedroom area. <u>50m^2</u>

6 0

3 years ago

Michael makes 60% of his free-throw attempts. If Michael attempts two free-throws,

nikklg [1K]

<h3>Answer: 12/25</h3>

====================================================

Reason:

60% = 60/100 = 0.6 is the probability of making any given free-throw.

1 - 0.6 = 0.4 is the probability of missing any given free-throw.

We have these probabilities

A = P(making 1st, missing 2nd) = 0.6*0.4 = 0.24
B = P(missing 1st, making 2nd) = 0.4*0.6 = 0.24

The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48

Convert this to a fraction:

0.48 = 48/100 = (4*12)/(4*25) = 12/25

5 0

2 years ago

Tanya and Kim are going to see a movie. The clocks show when the movie begins and ends. How long will the movie last? A.2 hours,

Tems11 [23]

Where are the clocks?

3 0

3 years ago

Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card

Viktor [21]

Answer:

a) i) No

ii) Probability of drawing a diamond and then spade without replacement is 0.0637.

b) i) Yes

ii) Probability of drawing a diamond and then spade with replacement is 0.0625

Step-by-step explanation:

Part a) Without replacement:

i) Are these events independent?

No, because the both events are dependent. because a card taken out of the deck is not replaced back before taking out the other card so the chances of event occur change.

ii) Determine the probability of drawing a diamond and then a spade without replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after taking diamond = 52 -1 =51

Spades = 13

Probability of drawing a spade = 13/51

Probability of drawing a diamond and then spade = 13/52 * 13/51

= 169/2652

=0.0637

So, Probability of drawing a diamond and then spade without replacement is 0.0637

Part b) With replacements

i) Are these events independent?

Input Yes or No:

Yes, these events are independent because a card taken out of the deck is replaced back before taking out the other card so the chances of event occur doesn't change.

ii) Determine the probability of drawing a diamond and then a spade with replacement.

Probability of drawing a diamond and then spade = (Probability of drawing a diamond) * (Probability of drawing a spade)

Probability of drawing a diamond :

Total cards in deck = 52

Diamonds = 13

Probability of drawing a diamond = 13/52

Probability of drawing a spade:

Total cards in deck after replacing diamond = 52

Spades = 13

Probability of drawing a spade = 13/52

Probability of drawing a diamond and then spade = 13/52 * 13/52

= 169/2704

=0.0625

So, Probability of drawing a diamond and then spade with replacement is 0.0625

7 0

3 years ago

What is the slope between the two points (8, -2) and (-7, 10)?

7nadin3 [17]

Answer:

slope ={10--2}/(-7-8)=12/-15=-4/5

6 0

3 years ago