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Arturiano [62]
2 years ago
10

Complete each subtraction equation below as an addition equation. a − 9 = 6 Enter an addition expression that completes the equa

tion below: a = _______________
Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

Answer:

a = 9 + 6

Step-by-step explanation:

The subtraction equation we are given is a - 9 = 6

To get a version with the addition sign that means the same thing, all we have to do is to add 9 to both sides of the equals to sign.

<em>This is because whenever you want to add an arbitrary value to cancel out figures in an equation, you have to perform such an operation to both sides of the equation so that the equation will still remain balanced.</em>

This will give us.

a - 9 + 9 = 6 + 9

<em>from this, we can see that -9 + 9 = 0</em>

Hence, a = 6 + 9

This equation above means the same thing as the first.

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Please help. I got the 12 part can’t can’t seem to simplify the fraction bit.
Sati [7]
<h3>Answer: D)  12 & 3/8</h3>

Whole part = 12

Fractional part = 3/8

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

Explanation:

For now, let's just focus on the fractional parts of each mixed number.

We have these fractions:

  • 1/4
  • 4/16
  • 3/8
  • 1/2

The 4/16 reduces to 1/4, so 4/16 = 1/4

So in reality, we have these fractional parts.

  • 1/4
  • 1/4
  • 3/8
  • 1/2

It's not a typo that I'm listing "1/4" twice.

The next step is to get everything to have the same denominator. That denominator is 8 (aka the LCD)

  • 1/4 = 2/8
  • 1/4 = 2/8
  • 3/8 = 3/8
  • 1/2 = 4/8

Adding those new fractions gets us:

(2/8)+(2/8)+(3/8)+(4/8) = (2+2+3+4)/8 = 11/8

Rewrite that as a mixed number

11/8 = (8+3)/8

11/8 = (8/8) + (3/8)

11/8 = 1 + 3/8

11/8 = 1 & 3/8

We get the result 1 & 3/8, where 1 is the whole part and 3/8 is the fractional part.

Keep in mind that all we've done so far is add up the fractional parts. We were ignoring the whole parts from each original mixed number.

If we add the whole parts (3,2,1,5) we get 3+2+1+5 = 11, which adds onto the previous whole part of 1 to get 12. So that's where the 12 comes from.

The fractional part 3/8 comes along for the ride to get 12 & 3/8 as the final answer, which is choice D.

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

An alternative route you can take is to convert each original mixed number into an improper fraction, then add those improper fractions (don't forget to get the LCD), and lastly convert the result to a mixed number.

5 0
2 years ago
Consider the function.
worty [1.4K]

The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is: Consider the function f(x) = (-2/3)x - 24  Which conclusions can be drawn about f⁻¹(x) Select two options:

f⁻¹(x) has a slope of -2/3

f⁻¹(x) has a restricted domain.

f⁻¹(x) has a y-intercept of (0, –36).

f⁻¹(x) has an x-intercept of (–36, 0).

f⁻¹(x) has a range of all real numbers.

f(x) = (-2/3)x - 24

To find the inverse of a function:

interchange the x and y

x = (-2/3)y - 24

y = (-3/2)(x + 24)

y = (-3/2)x - 36

The slope of a function f⁻¹(x) is -3/2

From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.

Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

3 0
1 year ago
What is the area of a circle that has a 5-inch diameter use 3.14 for pi?
Karo-lina-s [1.5K]
The area would be 19.625- inches
8 0
3 years ago
Is a triangle with sides that measure 6inches,8inches and 9inches a right triangle
AveGali [126]
No, because, using the Pythagorean Theorum:

6^2+8^2=9^2
36+64 IS NOT = TO 81
3 0
3 years ago
Read 2 more answers
PLEASE HELP DUE IN 10 MIN ITS A FINAL
Tomtit [17]

Answer:

intersecting

Step-by-step explanation:

7 0
3 years ago
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