MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer: Each concession stand will receive 197 popcorn bags.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

- Number of popcorn bags: 985
- Number of concession stands: 5

So, to calculate How many popcorn bags will each concession stand receive we simply have to divide the number of popcorn bags (985) by the number of concession stands ( 5).

Mathematically speaking:

985 /5 = 197

Each concession stand will receive 197 popcorn bags.

Answer:

Each concession stand will receive 197 popcorn bags i used a calculator so it is right.

HIGH SCHOOL

Which values are solutions to the inequality below? . . Check all that apply.. . x2 > 49. .

Solving the inequality above,

x² > 49

Take the square roots from both sides of the inequality,

x > 7 and x < -7

Therefore, the solutions to the inequality above are shown below

(-∞ , -7] ∪ [7 , +∞)

x² > 49

Take the square roots from both sides of the inequality,

x > 7 and x < -7

Therefore, the solutions to the inequality above are shown below

(-∞ , -7] ∪ [7 , +∞)

HIGH SCHOOL

Express 144 as the product of the prime factors

144 ends in an even number, so we know we can divide it by 2.

144 = 2 × 72

Let's keep going. 72 can be divided by 2 again.

144 = 2 × 2 × 36

And again...

144 = 2 × 2 × 2 × 18

And again!

144 = 2 × 2 × 2 × 2 × 9

And 9 equals 3 times 3.

144 = 2 × 2 × 2 × 2 × 3 × 3

Since we have a bunch of numbers multiplying into themselves, we should use exponents to write this.

(The little number above, called an exponent, tells you how many times to multiply the number by itself.)

144 = 2 × 72

Let's keep going. 72 can be divided by 2 again.

144 = 2 × 2 × 36

And again...

144 = 2 × 2 × 2 × 18

And again!

144 = 2 × 2 × 2 × 2 × 9

And 9 equals 3 times 3.

144 = 2 × 2 × 2 × 2 × 3 × 3

Since we have a bunch of numbers multiplying into themselves, we should use exponents to write this.

(The little number above, called an exponent, tells you how many times to multiply the number by itself.)

Answer:

144 ends in an even number, so we know we can divide it by 2.

144 = 2 × 72

72 can be divided by 2 again.

144 = 2 × 2 × 36

144 = 2 × 2 × 2 × 18

144 = 2 × 2 × 2 × 2 × 9

And 9 equals 3 times 3.

144 = 2 × 2 × 2 × 2 × 3 × 3

Since we have a bunch of numbers multiplying into themselves, we should use exponents to write this

2^4 x 3^2

Step-by-step explanation:

HIGH SCHOOL

Suppose you roll a single die. Find the probability of each event. Simplify all answers. Write your answer as a fraction, decimal, and percent 1.) P(5)

2.) P(7)

3.) P(3 or 4)

4.) P(not 5)

5.) P(even)

Single die : 1, 2, 3, 4, 5, 6

P(x) = # of ways to roll x / total number of sides

1) P(5) = 1/6

2) P(7) = 0 ; IMPOSSIBLE TO HAPPEN

3) P(3 or 4) = 2/6 ⇒ 1/3

4) P(not 5) = 5/6

5) P(even) = 3/6 ⇒ 1/2

P(x) = # of ways to roll x / total number of sides

1) P(5) = 1/6

2) P(7) = 0 ; IMPOSSIBLE TO HAPPEN

3) P(3 or 4) = 2/6 ⇒ 1/3

4) P(not 5) = 5/6

5) P(even) = 3/6 ⇒ 1/2

HIGH SCHOOL

What expression gives the volume of a sphere with radius 8

Answer:

The volume of the sphere is 2144.66 cubic units

Explanation:

The volume of the sphere is given by =

Now, we have been given the radius as 8 units. So, putting r=8 in the formula we get,

V=

=

= 2144.66 cubic units.

So, the volume of the sphere is 2144.66 cubic units.

V=(4/3)(pi)(r^3)

V=(4/3)(pi)(8^3)

V=(4/3)(pi)(512)

V=(2048/3)(pi), or around 2144.660585

V=(4/3)(pi)(8^3)

V=(4/3)(pi)(512)

V=(2048/3)(pi), or around 2144.660585