A:40%
If you put 60 over 150 and x(percent of students) over 100 and cross multiply 100 and 60, you will get 6000. You then divide that by 150 which leaves you with 40 as x and 40 over 100 is 40%.
A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).
Answer:
The value of the given expression is 27.1
Step-by-step explanation:
We are given an expression of two variable x and y.
We need to find the value of expression at x = 3 and y = 4
So first put x = 3 and y = 4 into expression and simplify
1/2 x 3 (3) + 3.4 x 4
➡️ 1/2 x 27 + 13.6
➡️ 27/2 + 13.6
➡️ 13.5 + 13.6
Now, add both of the numbers together. ( as an addition problem)
Therefore, when you ad the 2 together, you get the total of 27.1
Answer:
You would move 10 units to the right from zero on the x-axis.
Answer:
7) x + 0.09x, where x is the price of the car
8) x + 0.05x where x is the price of clothing
9) It will take michael about 9.14 minutes to eat 32 cookies.
Step-by-step explanation:
7) 9% of x is the same as 0.09x, so you can write this:
x + 0.09x, where x is the price of the car
8) same thing for this one
x + 0.05x where x is the price of clothing
9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or 
Because he will be eating them at the same pace, you can write an equation and solve for the variable:
= 
cross multiply the proportion:
21 × y = 32 × 6
solve:
21y = 192
y ≈ 9.14
It will take michael about 9.14 minutes to eat 32 cookies.
This works because they both simplify to 3.5 cookies per minute
= 3.5
= 3.5