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3 years ago

Is 8.25 greater than 8.250

Mathematics

2 answers:

noname [10]3 years ago

6 0

No, the values are EQUAL
8.25 = 8.250

scoray [572]3 years ago

4 0

No. I'm not absolutely positive, but I think they are the same.

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-6x+5y=1<br> 6x+4y=-10 that’s my question

REY [17]

Answer:

y = -1

x = -1

Step-by-step explanation:

5 0

3 years ago

Please show workings.

Anon25 [30]

9514 1404 393

Answer:

a) x≥5; y≥10; x+y≤30; 3x+y≤54

b) see attached

c) i. 14 buses; ii. 25 minibuses

Step-by-step explanation:

a. The given restrictions are ...

x ≥ 5 . . . . . . . . . minimum number of buses

y ≥ 10 . . . . . . . . minimum number of minibuses

x + y ≤ 30 . . . . .maximum number of vehicles

3x +y ≤ 54 . . . . maximum number of parking units

b. In the attached, we have chosen to make the solution space white. The boundaries are dashed where they are included in the solution space. The vertices of the solution space are marked on the graph.

c. The second attachment shows the maximum numbers of each.

i. maximum buses: 14 (and 12 minibuses)

ii. maximum minibuses: 25 (and 5 buses)

3 0

3 years ago

N is a positive integer

Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

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

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0

3 years ago

1. Joshua has a ladder that is 12 ft long. He will lean the ladder against a vertical wall. For safety reasons, he wants the ang

Mkey [24]

Let angle ladder makes with the ground be x degrees.

sin x = 11.8/12
x = sin^-1(11.8/12)
x = 79.5 degrees (3 s.f.)

yes it is possible

3 0

3 years ago

Which statement is TRUE for the given triangles?

SIZIF [17.4K]

Answer:

I need to see the triangle in order to answer the question

5 0

3 years ago

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