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avanturin [10]
3 years ago
5

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i

s the smaller number?
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
The answer is 22. try to figure it out:)
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Multiply (x^3 + 3x^2 + 3)(3x^3 − 6x^2 − 8x + 1)
ElenaW [278]
When multiplying two equations like this, you need to distribute. Distribute each term to get <span><span><span><span><span><span>3<span>x</span></span></span></span></span></span></span>x^{6} <span><span><span><span><span>+ <span>3</span></span></span></span></span></span>x^{5}<span><span><span><span>− <span>26</span></span></span></span></span>x^{4}<span><span><span>−<span>14</span></span></span></span>x^{3}<span><span>−<span>15</span></span></span>x^{2}<span>−<span>24x</span></span>+<span>3</span>
4 0
3 years ago
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The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?
Finger [1]

Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

   -8          -8

n* -4= 12

   /-4   /-4

n= -11

3 0
3 years ago
You have invested $2000 at 3.75% annual interest.<br> How much money do you have after 20 years?
lbvjy [14]

Answer:

  • $3500

Step-by-step explanation:

<u>Let's use PRT/100 to see what will be the total amount.</u>

  • Total amount = Interest + Principle

<u>Solution:</u>

  • PRT/100 = Interest
  • => 2000 x 3.75 x 20 years/100
  • => 20 x 3.75 x 20 = Interest
  • => 2 x 2 x 375 = Interest
  • => 4 x 375 = Interest
  • => 1500 = Interest
  • => Total amount = 1500 + 2000
  • => Total amount = $3500

Hence, after 20 years, the amount earned is $3500.

6 0
2 years ago
Is BC a line segment, a ray, or a line
Anettt [7]

Answer:

Line Segment

Step-by-step explanation:

A line segment has dots on both ends of the line. A line has nothing at either end of it. A ray has an arrow at one end of the line. Line BC is a line segment.

Hope it helps!

7 0
3 years ago
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Anyone, I need help... Just answer the 6 (c)....and also proper working.☺️
Ainat [17]

Answer:

(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²

(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²

Step-by-step explanation:

(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²

The graph of the function between the values of 0 and 6 inclusive is found as follows;

A,              3·p²

0,               0

1,                1

2,               12

3,               27

4,               48

5,               75

6,               108

Please find attached the graph of A to 3·p²

From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²

The area of the rabbit cage when the width is 5.2 m = 81.5 m²

(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;

The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width

The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p

Where the total length of the wire mesh available = 40 meters for the cage

The 40 meters of wire mesh will be used round the perimeter of the cage

∴ 40 m. = 8·p

p = 40/8 = 5 m.

At p = 5 m. the area is given as A = 75 m².

Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².

5 0
3 years ago
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