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viva [34]
3 years ago
12

I need help with this two question. Equations with decimals.

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0
.16x + 19.95 = 40

Max of 125.31... miles can be drove
You might be interested in
Solve for In(5z + 7) – 8
Elden [556K]

Step-by-step explanation:

In×5z+In×7

=1.67z +1.95-8

=1.67z-6.05

6 0
3 years ago
Can someone please explain to me how to do this?
OLga [1]

Answer:

  1. (-10x -5) -(-7x -4)

  2. (-10x -5) -(-3x -1)

Step-by-step explanation:

The process of simplifying an expression generally involves eliminating parentheses, collecting terms, simplifying fractions, rationalizing denominators, removing appropriate factors from under radicals, and generally putting expressions into general form.

So, to accomplish what the problem is asking, you can create an expression that requires you accomplish as many or as few of these steps as you may like.

In general, you will want to both "do" and "undo" whatever operation(s) you may choose. For example, consider a couple of expressions "a" and "b". For this example, we want our final result to simplify to "a".

If we choose to add "b", we might have ...

  (a+b) -b . . . . . we have both added and subtracted b, so the simplified result is "a"

If we choose to multiply by "b", we might have ...

  (ab)/b . . . . . . we have both multiplied by b and divided by b, so the simplified result is again "a"

_____

We can solve both these problems at once by using ...

  • a = -3x -1
  • b = -7x -4

If we choose the first approach, we want an expression that is (a+b). That will be ...

  a+b = (-3x -1) +(-7x -4) = -10x -5

By subtracting "b" from this expression, we get "a"--and vice versa. That is ...

  1. (-10x -5) -(-7x -4) . . . simplifies to . . . -3x -1
  2. (-10x -5) -(-3x -1) . . . simplifies to . . . -7x -4

_____

<em>Alternate solution to 2</em>

Suppose we choose to multiply instead. Let "b" be -3x+2. Then, using the template for multiplication above, we can write the expression

  (-7x -4)(-3x +2)/(-3x +2) = (21x^2 -2x -8)/(-3x +2)

and we know this rational expression simplifies to -7x -4.

_____

Of course, we can be as elaborate as we might like in modifying the original expression. Whatever we do, we must also include the "undo" so the original expression is recovered when we simplify. To illustrate the point, we can add and subtract 2x from the above rational expression.

  ((21x^2 -2x -8)/(-3x +2) + 2x) - 2x = (21x^2 -2x -8 +2x(-3x +2))/(-3x +2) - 2x

  = (21x^2 -2x -8 -6x^2 +4x)/(-3x +2) -2x

  = (15x^2 +2x -8)/(-3x +2) -2x . . . . . . another alternate solution to #2.

If we're not careful, we can create an expression that is extremely difficult to simplify. The one we have here can be factored to be ...

  (-5x -4)(-3x +2)/(-3x +2) -2x = -5x -4 -2x = -7x -4 . . . our original #2 expression

Knowing that it <em>can</em> be factored is a big help.

6 0
3 years ago
In 1991, an American, Ann Trason, set a world record by running 1000 km in 7 hours, 50 minutes, and 9 seconds. Which is the best
kherson [118]
The answer is A. 12 km per hr
7 0
3 years ago
20 points and marked brainlyist help me ASAP
horsena [70]

Answer + Step-by-step explanation:

(a)

Check the attached image.

(b)

Range of sample means : 7.5 - 5.75 = 1.25

(c)

The closer the range of the sample means is to 0 ,

the more confident they can be in their estimate . \huge \checkmark

The farther the range of the sample means is from 0 ,

the more confident they can be in their estimate . 

The mean of the sample means will tend to be a better estimate

than a single sample mean . \huge \checkmark

A single sample mean will tend to be a better estimate

than the mean of the sample means .

5 0
2 years ago
How do I do mental math
wariber [46]
By answering the questions in your head its simple
7 0
3 years ago
Read 2 more answers
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