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Harman [31]
3 years ago
10

“one-third of a number, decreased by 6, equals 11.”

Mathematics
1 answer:
aalyn [17]3 years ago
8 0
  (1/3)x - 6 = 8
           +6   +6

(1/3)x = 14
*3           *3

x = 42 is the answer :)   
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Is N² + N always an even number? Explain
qaws [65]

Answer:

Yes

Step-by-step explanation:

Yes.

Let's first start with even numbers. (N - even number)

Any even number squared, is an even number. Then, we add that squared even number to another even number which would give us an even number.

Now, let's see odd numbers.

Any odd number squared would be an odd number. When you add "N", it would be adding an odd number to an odd number, which gives you an even number.

OR

We can start by factoring the expression:

N^2+N=N(N+1)

This is essentially multiplying two consecutive numbers, which in turn means that one number has to be even, and one has to be odd. An odd number multiplied by an even number will always be even.

7 0
2 years ago
At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms an arithmetic sequence. The
Elodia [21]
In an arithmetic series, the value of the nth term is calculated using the equation,
                                  an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.

In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
                                     48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice. 
3 0
3 years ago
Solve for q. -5(3-q) +4=5q-11
soldier1979 [14.2K]

Perform the indicated multiplication first:  -15 + 5q + 4 = 5q - 11

Note that 5q appears on both sides of this equation.  Cancelling, we get :

-11 = -11.  This is always true.  Thus, -5(3-q) +4=5q-11 is true for all q.

4 0
2 years ago
Kylie can afford a $1310-per-month house loan payment. If she is being
Lesechka [4]

Answer:

The amount which she borrow as house loan is $ 48514.56

Step-by-step explanation:

Given as :

The house loan per month afford by Kylie = $1310

The period of loan = 25 Years

The annual rate compounded monthly = 8.4%

Principal  = $ P

∵ The per month loan afford amount = $1310

So, The amount afford in 25 years = $1310 × 25 × 12

Or, The amount afford in 25 years = $393,000

<u>Now, from compounded method</u> :

Amount = Principal × (1+\frac{Rate}{12\times 100})^{12\times Time}

Or, $393,000 = $ P × (1+\frac{8.4}{12\times 100})^{12\times 25}

Or, $393,000 = $ P × (1.007)^{300}

Or, $393,000 = $ P × \frac{393,000}{8.10066}

∴   P = $ 48514.56

Hence The amount which she borrow as house loan is $ 48514.56  Answer

8 0
3 years ago
Two similar triangles are shown below: Which two sets of angles are corresponding angles? ∠w and ∠v; ∠x and ∠y ∠w and ∠y; ∠x and
VARVARA [1.3K]
I think the 2nd one I'm not really sure
8 0
3 years ago
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