Answer:
144
Step-by-step explanation:
72% of 200 is 144
Equation: 0.72*200 = 144
Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again
10 + 3 square root 27/1000 - 5
Step 2: calculate the cube root
10 + 3/10 -5
Step 3: subtract the #’s
5 + 3/10
Step 4: calculate and you get
53/10
Answer: 53/10
Answer:
-2
Step-by-step explanation:
-6x - 9 ≤ 3
+ 9 ≤ +9
-6x ≤ 12
---- -----
-6 -6
x ≤ -2
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
9/44 of an hour, or just over 12 minutes
Step-by-step explanation:
Person 1 + Person 2 divided by Person 1 x Person 2 = Both together
9 + x / 9*x = 5
9+x/9x = 5
Multiply both sides by 9x
9 + x = 45x
Subtract x from both sides
9 = 44x
Divide by 44 to get x.
9/44 of an hour