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3 years ago

Pls someone explain to me how to do these problems and step by step explanation pls

Mathematics

2 answers:

Step2247 [10]3 years ago

4 0

Answer:

Option 1

Step-by-step explanation:

This is because in inequalities, the closed circle means greater/less than or equal to and the open circle means greater/less than. Since there is no line under the inequality, it is less than, therefore you need to use an open circle.

emmainna [20.7K]3 years ago

3 0

Option 1 because since it’s less than not less than or equal to, it stays opened. also you follow the direction that the less than sign is pointing towards.

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Supplementary? Vertical? Complementary? Acute?

liraira [26]

Answer:

A. supplementary

Step-by-step explanation:

Note the angle measurements of BOC. m∠BOC = 90°

Now note that line FC is a straight line, which makes it's measurement = 180°

Subtract 90 from 180: 180 - 90 = 90°

Both are 90°, which, when combined makes a supplementary angle.

8 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

What is 2/3(n+6)=10? What is n? 2/3 is a fraction as two thirds

Aleks04 [339]

First distribute the 2/3.
(2/3)n + (2/3)*6 = 10
(2/3)n + 4 = 10
Subtract 4 from both sides
(2/3)n = 6
Multiply both sides by (3/2) to clear the fraction
n = 9

6 0

3 years ago

How many 2/3 cup servings are in four cups of pistachios?

sammy [17]

Answer: One cup is same as 3/3 cups. 4 cups is same as 4*(3/3) cups thats 12/3 cups. Then you can conclude that if you have 2/3 cups, you will need 6 of them to get 4 cups.

Step-by-step explanation:

8 0

3 years ago

Assign two variables for each problem, and write the equations. Do not solve.

Xelga [282]

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$

7 0

3 years ago