Answer:
you can't simplify the 30 has no common factors

As students walk into Mr. Jackson's class, they are randomly handed either a blue, yellow, green, or red card. If there are 8 boys and 12 girls in the class, what is the probability that the student chosen by Mr. Jackson will be a boy with a green card?A. 1/8 B. 1/16 C. 2/15 D. 1/5

Brinn's rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn's pantry. If the rectangular pantry is 3 feet wide, what is the length of the pantry?

Which equation represents the line shown in the graph below? A. y = 2x - 3B. y = -3y + 2C. y = 3y - 2D. y = -3y - 2

Help FastWhich of the following is a binomial experiment? Rolling a six-sided number cube 24 times and recording if a 4 comes up Rolling a six-sided number cube and recording the number until a 4 comes up Rolling a six-sided number cube and recording the number until an even number comes up Rolling a six-sided number cube 24 times and recording the number that comes up

explain the difference between 9 square units and 9 cubic unit

Brinn's rectangular kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as Brinn's pantry. If the rectangular pantry is 3 feet wide, what is the length of the pantry?

Which equation represents the line shown in the graph below? A. y = 2x - 3B. y = -3y + 2C. y = 3y - 2D. y = -3y - 2

Help FastWhich of the following is a binomial experiment? Rolling a six-sided number cube 24 times and recording if a 4 comes up Rolling a six-sided number cube and recording the number until a 4 comes up Rolling a six-sided number cube and recording the number until an even number comes up Rolling a six-sided number cube 24 times and recording the number that comes up

explain the difference between 9 square units and 9 cubic unit

Number of tiles used forcovering the kitchen floor = 10

Area covered by the floor = 6* 5 feet^2

= 30 square feet

Length of each tiles = 3 feet

Width of each tiles = w feet

Area covered by each tiles = 3w square feet

Then the equation can be written as

3w * 10 = 30

30w = 30

w= 30/30

= 1 feet

So the width of each tiles is 1 feet.I hope the procedure is clear enough for you to understand. The equation to determine the solution is

10 *3w = 30

There are 10 tiles used and the area covered by each tiles is 3w. Also the area of the floor is 30 square feet. All those information's have been used to get to the equation.

Area covered by the floor = 6* 5 feet^2

= 30 square feet

Length of each tiles = 3 feet

Width of each tiles = w feet

Area covered by each tiles = 3w square feet

Then the equation can be written as

3w * 10 = 30

30w = 30

w= 30/30

= 1 feet

So the width of each tiles is 1 feet.I hope the procedure is clear enough for you to understand. The equation to determine the solution is

10 *3w = 30

There are 10 tiles used and the area covered by each tiles is 3w. Also the area of the floor is 30 square feet. All those information's have been used to get to the equation.

The answer for the first quartile would be 51.5

159 million = 159,000,000

159 million million = 159,000,000,000,000

**159 million million million = 159,000,000,000,000,000,000**

---------------------------------

159 million million million = 159 million trillion

159 million million = 159,000,000,000,000

159 million million million = 159 million trillion

The requried 159 **million **million million is **equivalent **to and in standard 159,000,000,000,000,000,000,000.

To write 159 million million million, we can use **scientific notation **to represent the large number more conveniently. In scientific notation, the number is written as a coefficient multiplied by a power of 10.

159 million million million is equivalent to 159 multiplied by 1 million, which itself is equal to . Therefore, we can write 159 million million million as:

159 × 1,000,000,000,000,000,000,000 (6 zeros for million, 6 zeros for million, and 6 zeros for million)

In **scientific notation**, this is written as:

So, 159 **million **million million is **equivalent **to .

Learn more about **scientific notation **here:

#SPJ6

**Answer:**

f(x) = - 4x² + 24x - 20

**Step-by-step explanation:**

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

= - 4x² + 24x - 36 + 16 ← collect like terms

= - 4x² + 24x - 20

**Answer:**

**Step-by-step explanation:**

**To find : **Mixed numbers between 5 and 7, with an interval of between each pair of mixed numbers ?

**Solution : **

**Mixed numbers between 5 and 7.**

The interval is between each pair of mixed numbers.

**So, The number form as**

**In mixed fraction,**

**Therefore, The mixed numbers between 5 and 7, with an interval of **** between each pair of mixed numbers are **

5 1/3, 5 2/3, 6 1/3, 6 2/3....mixed numbers between 5 and 7.....intervals of 1/3

**Answer:**

C. The graph would shift five units to the left.

**Step-by-step explanation:**

y = x² + 5x - 2

We can write this equation in the form

y = a(x - h)² + k

If you change the value of h, you are * translating the parabola horizontally*.

If you * increase h by five units, the graph shifts five units to the left*.

In the figure below, the red parabola represents the original equation.

The blue parabola shows the graph shifting five units to the left

(from x = -2.5 to x = -7.5) when you replace x by x + 5.

**Answer:**

C. The graph would shift 5 units to the left

**Step-by-step explanation:**

If (x+5) was substituted in the place of x then it would shift 5 units to the left

Answer is C.