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mina [271]
3 years ago
11

The sum of two numbers is ten. Using x to represent the smaller number, translate "the difference between twice the larger numbe

r and negative twenty" into a variable expression and simplify
Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0
The larger number is 10 - x.
2(10 - x) - (-20)
20 - 2x + 20
40 - 2x
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masha68 [24]

Answer:

P(10) = 26237[1 + 0.024]^10

Step-by-step explanation:

From the information given :

Initial population, P0 = 26, 237

Annual growth rate, r = 2.4%

Number of Years, n = 10

The general exponential growth relation is give as :

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P(x) = population after x years

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P(10) = 26237[1 + 0.024]^10

5 0
2 years ago
A bowl in Mr. Layman's classroom contains a total of 300 red and green Skittles, The number of red Skittles equals 3 times as ma
Vedmedyk [2.9K]

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Step-by-step explanation:

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3 years ago
A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
Tatiana [17]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

V = \frac{\pi r^{2}h}{3}

In which r is the radius and h is the height.

Two cones:

Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

V_{sk} = \frac{\pi r^{2}h}{3}

Sharing size:

radius 3r, height h. So

V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h

About how many times more popcorn does the sharing cone hold than the skinny cone?

r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9

The sharing cone holds about 9 times more popcorn than the skinny cone.

3 0
3 years ago
Choose the graph below that represents the solution to the system of equations
nasty-shy [4]

Answer:

<h2>The solution is (1, 5)</h2>

Step-by-step explanation:

Here two equation of straight lines are given.

Two equations can intersect each other at a point.

The given equations are,

  1. y = 3x + 2
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Equating both 1 and 2 we get,

10 - 5x = 3x + 2\\8x = 8\\x = 1

Hence, from 1 we get, y = 3+2 = 5

3 0
3 years ago
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