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slava [35]
3 years ago
7

Carlos has $20 to spend on six avocados. After buying them he had $2. Him much did each avocado coast

Mathematics
2 answers:
insens350 [35]3 years ago
8 0

Cost Carlos 3 dollars per avocodo

SpyIntel [72]3 years ago
7 0

If we have $2 left then that means we used $18 dollars on the avocados.

All we have to do is divide $18 dollars by 6 avocados.

$18 / 6 = 3

<u>So each avocado was $3 </u>

GOOD LUCK :)

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A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o
elena-14-01-66 [18.8K]

Answer:

  • 21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

  • tan x = 22/103
  • x = arctan (22/103)
  • x = 21°

<em>Note, option D should read 21° not 11°</em>

5 0
2 years ago
Twice x plus 5 is the same as -12
Anastasy [175]

Answer:

Step-by-step explanation:

2x+5=-12

2x=-17

x=-8.5

8 0
3 years ago
Read 2 more answers
Simplify -3x^3(2x^2+3)+9x^4
SIZIF [17.4K]

Answer:

ANSWER = −6x^5 +9x^4 − 9x^3

Step-by-step explanation:

Let's simplify step-by-step.

(−3x^3) (2x^2 + 3) + 9x^4

Distribute:

=(−3x^3) (2x^2) + (−3x^3) (3) + 9x^4

=−6x^5 + − 9x^3 + 9x^4


Answer:

= −6x^5 +9x^4 − 9x^3


3 0
3 years ago
Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 5y = sin(x)
vichka [17]

Answers:

a = -6/37

b = -1/37

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

Explanation:

Let's start things off by computing the derivatives we'll need

y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\

Apply substitution to get

y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right)  + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x)  + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x)  + \left(a - 6b\right)\cos(x) = \sin(x)\\\\

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a  -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

8 0
2 years ago
Please look Below!!!!<br> (No links) Please explain.
Tcecarenko [31]

Answer:

The surface area of the cylinder is about 954.56 square inches.

Step-by-step explanation:

The total surface area of a cylinder is given by the formula:

SA=2\pi r^2 + 2\pi rh

Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:

SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)

Use a calculator:

SA\approx 954.56\text{ in}^2

The surface area of the cylinder is about 954.56 square inches.

6 0
3 years ago
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