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Svet_ta [14]
3 years ago
12

How do you solve this step-by-step?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

  • 7 1/20

<u>OAmalOHopeO</u>

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You lose one quarter, two dimes, and two nickels.
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are you sure this is full question?

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9. Which of the following do you need to know to determine the surface area and volume of a sphere?
Alexxx [7]

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A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

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Calculation: One score is 20. Two score is 40. Three score and 5 is 65.
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Answer:

answer for the question is 87

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A standard six sided dice is rolled. What is te probability of rolling a 3 OR a 5
Vikki [24]

Answer:

1/3

Step-by-step explanation:

Rolling a die has the possible outcomes of 1,2,3,4,5,6 = 6 total

P(3 or 5) = number of  3 or 5's / total

              = 2/6

                = 1/3

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3 years ago
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et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe
Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation f(x)=x+\lvert 2x-3 \rvert=12 can be solved as follows:

x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}

\lvert 2x-3 \rvert =12-x

2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)

3x=15\,\,\text{or}\,\,\x=-9

Then, the solutions of the equation are x=5, x=-9.

Now, if g(x)=5x-3+\lvert x+4\rvert, we can solve the equation g(a)=4a+9 as follows:

5a-3+\lvert a+4 \rvert =4a+9

\lvert a+4\rvert =4a+9-5a+3

a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)

2a=8\,\,\text{or}\,\,4=12

So, the unique solution of this last equation is a=4

The last equation is h(x-1)=x-3, where h(x)=\lvert x \rvert -2x+5.. To solve this equation we can proceed as follows:

h(x-1)=x-3

\lvert x-1\rvert -2(x-1)+5=x-3

\lvert x-1 \rvert -2x+2+5=x-3

\lvert x-1\rvert =3x-10

x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)

-2x=-9\,\,\text{or}\,\,4x=11

x=9/2\,\,\text{or}\,\,x=11/4

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8 0
3 years ago
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