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OLga [1]
4 years ago
12

25. Name the property used in each step.

Mathematics
1 answer:
pishuonlain [190]4 years ago
5 0

Answer:

i) Given, ii) Distributive property, iii) Commutative property, iv) Distributive property, v) Substraction, vi) Law of signs, multiplication, vi) Sum. Result.

Step-by-step explanation:

25) Name the property used in each step:

i) 2\cdot (x+3) - 4\cdot (x-4) Given.

ii) 2\cdot x + 6 - 4\cdot x + 16 Distributive property.

iii) 2\cdot x - 4\cdot x + 6 +16 Commutative property.

iv) x \cdot (2 - 4) + 16 + 16 Distributive property.

v) x \cdot (-2) + 6 + 16 Substraction.

vi) -2\cdot x + 6 + 16 Law of signs, multiplication.

vii) -2\cdot x + 22 Sum. Result.

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Please helppppp pls it's in the screenshot
sergey [27]

Answer:

  4. 11/6, 121/36

  5. 5/8, 25/64

  6. 4/7, 16/49

  7. 14/9, 196/81

Step-by-step explanation:

The ratio of perimeters is the same as the ratio of corresponding legs:

  perimeter ratio = red leg/blue leg

The area ratio is the square of that:

  area ratio = (perimeter ratio)²

__

<h3>4.</h3>

perimeter ratio = 11/6

area ratio = (11/6)² = 121/36

__

<h3>5.</h3>

perimeter ratio = 5/8

area ratio = (5/8)² = 25/64

__

<h3>6.</h3>

perimeter ratio = 4/7

area ratio = (4/7)² = 16/49

__

<h3>7.</h3>

perimeter ratio = 14/9

area ratio = (14/9)² = 196/81

3 0
2 years ago
You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided
Vinil7 [7]

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

3 0
3 years ago
PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !
Helen [10]

Answer:

\huge\boxed{2329 \ \text{pounds}}

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

  • We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as \frac{\Delta y}{\Delta x} (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is 2212-2017 = 195, and the change in x is 48 - 18 = 30. Our slope will then be \frac{195}{30}, which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

y = 6.5x+b

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

  • 2017 = 6.5 \cdot18 + b
  • 2017 = 117 + b
  • 1900= b

Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

y=6.5x+1900

Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

  • y = 6.5 \cdot66+ 1900
  • y = 429+1900
  • y=2329

So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

7 0
3 years ago
Read 2 more answers
Write each ratio as a fraction in simplest form. The explain it’s meaning.
aliina [53]
Is this what you were asking for?

6 0
3 years ago
Please help me with this worksheet !! (Math ) I WILL GIVE BRAINLIEST TO right answers
omeli [17]

C=pi*d

=22/7*7

=22

22 is the circumference of first circle

6 0
4 years ago
Read 2 more answers
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