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viktelen [127]
3 years ago
10

Ruby conducted a survey and found the 5/6 of her classmates have a pet and 2/3 of those pets are dogs.what fraction of her class

mates has dogs?
Mathematics
1 answer:
Pie3 years ago
5 0
To determine the fraction of her classmates with dogs as pets, we simply multiply the two given fractions based from the survey. 

                                       Pets = (2/3)(5/6) = 5/9

Thus, there are 5/9 of Ruby;s car. 
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The circle above has a radius of 8 cm. What is the area of the circle?
Naddik [55]

Area of the circle is 200.96 cm²

Step-by-step explanation:

  • Step 1: Calculate area of the circle using the formula, A = π × r². Here r = 8cm.

⇒ Area = 3.14 × 8 × 8 = 200.96 cm²

7 0
3 years ago
Require full steps working for this question
Ray Of Light [21]

I let the computer do the graphing.  

f(x) = x(x + 3)²(1 - x) / 3

We see obvious zeros at x=0, x=-3 and x=1.

f(x) = x(x + 3)²(1 - x) / 3

f(x) = x(x^2 + 6x + 9)(1 - x)/3

f(x) = x(x^2 + 6x + 9 - x^3 - 6x^2 - 9x)/3

f(x) = x(- x^3 - 5x^2 -3x +9)/3

f(x) = (-x^4 - 5x^3 -3x^2 +9x)/3

f'(x) = (-4x^3 - 15x^2 -6x + 9)/3

We know there's f'(-3)=0 so x+3 must be a factor here,

f'(x) = (x + 3) (-4x^2 - 3x + 3)

We get stationary points when x = -3 or

x = (-1/8)( 3 ± √(9 - 4(-4)(3))) =  (-3 ± √57)/8  about -1.3 and 0.6 which are a local minimum and maximum respectively.

f''(x) = (-12x^2 - 30x -6)/3 = -4x^2 - 10x - 2

f''(-3) = -4(9)+ 30 - 2 = -8

Concave Down, Negative.   (-3,0) is a local maximum.

f''((-3 - √57)/8) = -4(-1.3)^2 - 10(-1.3) - 2 = 4.24

Concave up, positive, a CUP

(-3 - √57)/8, f((-3 - √57)/8) ) is a minimum.

f''((-3 + √57)/8) = -4(.6)^2 - 10(.6) - 2 = -9.44

CDN, ( ((-3 + √57)/8), f((-3 + √57)/8) ) is a maximum.

I didn't evaluate f((-3 ±√57)/8) which are around -3 and 1 but I leave that calculation to you.

6 0
3 years ago
christa went shopping for back to school clothes.Before the tax was added on, her total was $176. if the sales tax is 6% what wa
skelet666 [1.2K]
<span>Christa went shopping for back to school clothes.
She paid a total of 176 dollars before the tax was added on.
Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.
Solutions:
=> 176 dollars * 6% to get the amount
=> 6% / 100% = 0.06
=> 176 dollars * .06 = 10.56
Now, let’s add to get the answer
=> 176 dollars + 10.56 dollars = 186.56 dollars</span>



7 0
3 years ago
Read 2 more answers
A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?
EastWind [94]

Answer:

67.15

Step-by-step explanation:

subtract 15 percent of 79 from 79

7 0
3 years ago
Read 2 more answers
Justin has $110 to spend at the mall. He wants to buy a hat that costs $25 and a pair of jeans that cost $40. He is also thinkin
LuckyWell [14K]

Answer:

110>=-12x-65

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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