Ma Johnson gives 1/6 of 1 pizza to each of her 25 students

FrozenT [24]

If a ≥ 0 then √a denotes the non negative square root of a.

(x-9)^2 = (-(x-9))^2

So both x−9 and −(x−9) are square roots of (x−9)2, but we want to pick whichever is non negative.

x−9| does that for us.

Answer should be √(x-9)^2) = x-9

3 0

3 years ago

Finds the height of a triangle with a base of 35 ft and an area of 262.5 ft2

ddd [48]

The answer to this is that the height is equal to 15 feet. This is because to find the area of a triangle the equation is A=1/2bh. So what you have to do is do the opposite. Input the numbers into the equation 262.5= 1/2(35)h. Then multply 1/2 by 35 to get 17.5h. Next you divide each side by 17.5 and you get 15.

4 0

3 years ago

A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th

alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

$\frac{\sum x+9}{n}=81\\\\\sum x+9=81n$

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

$\frac{\sum x-3}{n}=78\\\\\sum x-3=78n$

So, from equation (1) and (2) we get:

$81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4$

Hence, there are 4 students in the group.

8 0

4 years ago

The highest point in California is Mount Whitney at 14,494 feet above sea level. The lowest point is the Death Valley at 282 fee

barxatty [35]

Okay so in order to figure this out you have to realize that height (distance) cannot be negative. So all you do is add 282 feet from the mountain and 282 from the valley to get 564ft in the difference of elevations

6 0

3 years ago

Read 2 more answers

5 2/3 gave to her 4 friends how much did each one receive

Olin [163]

Answer:

Let's see what to do buddy...

Step-by-step explanation:

If it is 5 + 2/3

_________________________________

Step (1)

First we have to find all she has :

$5 \frac{2}{3} = 5 + \frac{2}{3} = \frac{5 \times 3}{3} + \frac{2}{3} = \\ \frac{15}{3} + \frac{2}{3} = \frac{17}{3}$

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

$\frac{17}{3} \div 4 = \frac{17}{3} \times \frac{1}{4} = \frac{17}{12} \\$

So each of her friends receive 17/12 .

_________________________________

If it is 5 × 2/3

_________________________________

Step (1)

Firs we have to find all she has :

$5 \times \frac{2}{3} = \frac{10}{3} \\$

_________________________________

Step (2)

To find how much did each of them receive , we must divided all by the number of her friends which is 4.

So we have :

$\frac{10}{3} \div 4 = \frac{10}{3} \times \frac{1}{4} = \frac{10}{12} \\$

So each of her friends receive 10/12 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0

3 years ago