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elixir [45]
3 years ago
12

Which expression is equivalent to 6(a-3)? 18a 6(a)-6(3) 6(a)-3 3a

Mathematics
2 answers:
arsen [322]3 years ago
7 0

Answer:

Option 2

Step-by-step explanation:

6(a)-6(3)=6a-6×3=6(a-3)

Usimov [2.4K]3 years ago
7 0

Answer: 6(a)-6(3)

Step-by-step explanation:

6(a-3) = 6a-18

Let's check the first one, 18a which is not right. It's from 6(a)*3.

The second one is right, 6(a) = 6a and -6(3) = -18. Then we get 6a-18 which is right. then factor and get 6(a-3)

The third one is similar to the first one except 3 is in negative form (aka -3). But you get 6a-3 for the third one. factoring 6a-3 and you get 3(2a-1)

3a, no comment, it's from 3(a).

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If the interest rate on a savings account is 0.02%, approximately how much money do you need to keep in this account for 1 year
astraxan [27]
At first glance, this problem might be overwhelming so try approaching it slowly by doing these steps:

Step 1: Start by understanding what the problem is really asking.
You might notice that the problem is just a percentage problem, with a twist! If you still don't see it, the problem is just asking what the base should be given a percentage and the amount.

Step 2: Recall the concepts relevant to the question.
We can identify a single formula that will be important in getting the answer:
base*percent=amount

Step 3: Apply the concept to the context of the problem.
You'll see that we already have the percent from the interest rate which is 0.02% and the amount from the below-minimum-balance fee which is $9.99.

There goes the little twist: you have to manipulate the equation to get the base. Dividing both sides of the equation by the percent we'll have:
base= \frac{amount}{percent}

Step 4: Evaluate to get the answer to the problem.
We simply substitute the given numbers and evaluate.
base= \frac{percent}{amount}= \frac{9.99}{0.0002} =49,950

Answer: You need $49,950 in the account to cover the Below-Minimum-Balance Fee from your interest.
5 0
4 years ago
Read 2 more answers
Round 545,999 to the nearest hundred thousand
Gnom [1K]
545,999 rounded to the nearest hundred thousand is 546,000.
6 0
4 years ago
Using the results from the table, predict the number of times a 3 would be rolled in 400 trials.
sasho [114]
First you should add all the number of rolls. 
The number of rolls is 80.
Subtract 80 from 400.
The answer is 320. 
Add 320 to the number of rolls of 3.
The answer to the question is 322.
I am sorry if I am wrong.
5 0
3 years ago
Read 2 more answers
Please explain I just started learning this
Digiron [165]

Answer:

x=5

y=7

Step-by-step explanation:

y = x+2 so plug that in the next equation as y

so it be --> 5x+(-4)(x+2)= -3 now use distributive property

(-4 times x)+(-4 times 2)= -4x+-8 replug that back in

5x-4x+-8 = -3 subtract your x

1x = x so ---> x+-8 = -3 now to get rid of -8 we have to add 8 to it

x= -3 but whatever you do to one side u do to the other so u have to add 8 to -3---> so it be x=5

now take that x=5 and plug it in to your first eqaiuton to get y

y=5+2 ---> y =7

6 0
3 years ago
Which of the following translations is needed to carry ΔEFG onto its image ΔE'F'G'?
zhannawk [14.2K]

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

<h3>What is the transformation rule for the translation of a triangle?</h3>

Herein we see the triangle EFG and the triangle E'F'G', result of the translation of the former triangle.

A triangle is generated by three non-collinear points. Translation is a kind of rigid transformation and there is a translation if and only if each pair of related points is related to one and same translation vector:

T(x, y) = P'(x, y) - P(x, y)           (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point

Now we proceed to check if the triangle E'F'G' is the result of a translation:

T₁(x, y) = E'(x, y) - E(x, y)

T₁(x, y) = (- 9, 4) - (- 5, - 7)

T₁(x, y) = (- 4, 11)

T₂(x, y) = F'(x, y) - F(x, y)

T₂(x, y) = (- 7, 8) - (3, - 3)

T₂(x, y) = (- 4, 11)

T₃(x, y) = G'(x, y) - G(x, y)

T₃(x, y) = (- 2, 3) - (2, - 8)

T₃(x, y) = (- 4, 11)

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

6 0
2 years ago
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