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Nady [450]
3 years ago
10

Ashley is preparing for a horse riding competition. She has trained her horse for 5 hours and has completed 165 rounds. At what

rate has Ashley ridden her horse in rounds per hour?
Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:33

Step-by-step explanation:

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A number doubled and has four added to it. The result is divided by three and then added to the product of the original number a
IrinaK [193]
X= a number

(2x+4)/3 + (x+2)= 20
Multiply everything by 3 to eliminate the fraction
(3/1)((2x+4)/3) + (3)(x+2)= (3)(20)
2x+4+3x+6= 60
5x+10=60
Subtract 10 from both sides
5x=50
divide both sides by 5
x=10

Check:
Substitute answer in original equation
(2x+4)/3 + (x+2)= 20
(2(10)+4)/3+(10+2)= 20
(20+4)/3+12= 20
24/3+12= 20
8+12= 20
20=20

Hope this helps! :)
8 0
3 years ago
Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?
Arturiano [62]

Answer:

 you would  have 84-.10 I think

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A scale factor of 2 is used to enlarge a figure as shown below. A rectangle with an area of 18 inches squared. How many square i
qwelly [4]

Answer:

36

Step-by-step explanation: All you have to do is multipy the area of the original figure by the scale factor. (18 times 2) which is 36.

You're welcome <3

3 0
3 years ago
Read 2 more answers
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
  • x -9y = -47

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
3 years ago
What is the answer to y=2x+3<br> and y=3x+5
Alla [95]

Answer:

(-2,-1)

Step-by-step explanation:

y=2x+3

y=3x+5

so y=y

then:

2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

3 0
3 years ago
Read 2 more answers
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