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natima [27]
2 years ago
6

Multiple choice PLEASE HELP

Mathematics
1 answer:
bezimeni [28]2 years ago
3 0

Answer:

I think it is B

Step-by-step explanation:

Sorry  if it is wrong

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A group of students are planning a mural at a wall the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning
zvonat [6]

Answer: 46x^2+73x+15

Step-by-step explanation:

The area of a rectangle can be calculated with the formula:

A=lw

l: the length of the rectangle.

w: the width of the rectangle.

The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.

Knowing that the dimensions of the wall are (6x+7) by (8x+5), its area is:

A_w=(6x+7)(8x+5)\\\\A_w=48x^2+30x+56x+35\\\\A_w=48x^2+86x+35

As they are planning that the dimensions of the mural be (x+4) by (2x+5), its area is:

A_m=(x+4)(2x+5)\\\\A_m=2x^2+5x+8x+20\\\\A_m=2x^2+13x+20

Then the area of the remaining wall after the mural has been painted is:

A_{(remaining)}=A_w-A_m\\\\A_{(remaining)}=48x^2+86x+35-(2x^2+13x+20)\\\\A_{(remaining)}=48x^2+86x+35-2x^2-13x-20\\\\A_{(remaining)}=46x^2+73x+15

8 0
3 years ago
Determine whether the triangles are similar. If so, name the postulate or<br> theorem you used.
Mice21 [21]

Answer:

Yes, AA~

Step-by-step explanation:

because 2 of the angles are the same (90 and 52) they have to be the same. The triangle on the right is known to be 90 degrees because 52+38 is 90 and 180-90 is 90 and a triangle has to add up to 180 degrees

5 0
2 years ago
Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes. What is the ratio of Joe's frogs and snakes to hamsters?
Morgarella [4.7K]

Answer:

6:3:8

Step-by-step explanation:

We need to find the amount of:

Frogs= Joes has 6

Snakes= Joe has 3

Hamster= Joe has 8

So, the ratio of Joe's frogs and snakes to hamsters is 6: 8 : 3.

Hope that helped! :)

6 0
2 years ago
Read 2 more answers
Real estate ads suggest that 56 % of homes for sale have​ garages, 27 % have swimming​ pools, and 16 % have both features. ​a) W
Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},  

A = {homes with pool and garage}  = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A  

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

5 0
3 years ago
Item 8
ludmilkaskok [199]
So, I didn't quite understand your question clearly, but I'll try my best to answer it.

So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.

2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)

That means:
7*60= 420+45 = 465.
5*60=300+51=351.

Now, let's do the math itself:
465 -> 100%
351 -> x%
 Is equal to about  75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately

8 0
3 years ago
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