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3 years ago

Solve three and one half times one and two thirds .

Mathematics

2 answers:

omeli [17]3 years ago

8 0

Answer: c

Step-by-step explain

<h3>so times 2 and 3 then add 1 But keep 2 then do the same with the other one . </h3>

yarga [219]3 years ago

4 0

C, 5.8(repeating3) is equal to 5 5/6.

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What is the area of the circle shown above ? round to the nearest 10th please help with homework

kherson [118]

To calculate the area of the circle, make sure to use the equation. A = Pi r^2, since the diameter is given divide by 2 to get the radius and plug into the equation.

Then locate the decimal place that is hundredths and round

8 0

3 years ago

A sphere has a radius of 4 inches. What is the surface area of the smallest cube that could circumscribe the sphere?

vovikov84 [41]

Answer:

$SA=384\ in^2$

Step-by-step explanation:

we know that

The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere

In this problem

The radius of the sphere is $r=4\ in$

The diameter of the sphere is two times the radius

$D=2r=2(4)=8\ in$

The length side of the cube is

$b=8\ in$

Remember that

The surface area of a cube is equal to the area of its six faces

$SA=6b^2$

substitute the value of b

$SA=6(8)^2$

$SA=384\ in^2$

6 0

3 years ago

The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the

Gnesinka [82]

Answer:

1/41416353 probability of all five numbers and the mega number matching the winning numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Probability of the five numbers matching:

Desired outcomes: 1 -> the matching numbers

Total outcomes: 5 from a set of 47. So

$T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939$

Probability:

$p_{S} = \frac{1}{1533939}$

Probability of the mega number matching:

1 from a set of 27. So

$p_M = \frac{1}{27}$

Probability of both matching:

Independent events, so we multiply the probabilities:

$p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}$

1/41416353 probability of all five numbers and the mega number matching the winning numbers

7 0

3 years ago

BRAINLIEST PLEASE HELP np<br> If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1, find (f+g)(x)

raketka [301]

Answer:

$\large\boxed{B.\ (f+g)(x)=2x^2+2x-2}$

Step-by-step explanation:

$f(x)=-x^2+6x-1\\\\g(x)=3x^2-4x-1\\\\(f+g)(x)=f(x)+g(x)\\\\\text{substitute:}\\\\(f+g)(x)=(-x^2+6x-1)+(3x^2-4x-1)\\\\(f+g)(x)=-x^2+6x-1+3x^2-4x-1\qquad\text{combine like terms}\\\\(f+g)(x)=(-x^2+3x^2)+(6x-4x)+(-1-1)\\\\(f+g)(x)=2x^2+2x-2$