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Lemur [1.5K]
3 years ago
8

Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of

quarters they have altogether. Which is another way to write this expression?
Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0
You can "collect terms" and write it as
  4n -2
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A solid shape is made by joining two cones.
dlinn [17]

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

<h3>How to determine the radius?</h3>

The given parameters are:

  • Cone 1: slant height, l = 2r
  • Cone 2: slant height, L = 3r
  • Surface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

brainly.com/question/6613758

3 0
2 years ago
I need help please help my test is timed..
kipiarov [429]

Answer:

I think it would be -1  its hard to explain but I am very positive

Step-by-step explanation:

7 0
2 years ago
Simplify<br><br> a+a+a=<br> 4b-b<br> 3x2+x2
Reika [66]
<h2>Good morning,</h2>

<em><u>__________________</u></em>

<em><u>Answer</u></em>:

a+a+a = 3a.

4b-b = 3b.

3x²+x² = 4x².

<u><em>explanation</em></u>

a+a+a = 3a.

4b-b = b(4 - 1) = b × 3 = 3b.

3x²+x² = x²(3 + 1) = x² × 4 = 4x².

_______________________________

:)

7 0
3 years ago
How many grams are in 844 mg
charle [14.2K]
The answer is 0.844 g
6 0
3 years ago
Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
2 years ago
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