Answer:
The dimensions of the drawing are 10 units by 8 units
Step-by-step explanation:
we know that
The scale drawing is 
That means ---> 1 unit in the drawing represent 15 feet in the actual
To find out the dimensions of the drawing, multiply the actual dimensions by the scale drawing
so


therefore
The dimensions of the drawing are 10 units by 8 units
Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
Assuming the frequency be the numbers of people, the greatest number of people should be 8, and they drank 6 glasses.
Answer:
Option B.
Step-by-step explanation:
If a quadratic equation is defined as
.... (1)
then the quadratic formula is

The given equation is

It can rewritten as
.... (2)
On comparing (1) and (2) we get

Using quadratic formula we get



Therefore, the correct option is B.