So the equation for this would be y= 90x where y would be the distance in feet covered in x seconds and x would be seconds. So to find out the distance covered in 25 seconds you would plug in 25 for x.
y= 90(25)
y= 2250
So to answer the question you would say that the cheetah would cover 2,250 feet in 25 seconds.
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)
y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²
we want to find z so combine the equations by substituting the other variables x,y out.
substitute y² for (x² - 4²) in 1st equation.
(x² - 4²) + 9² = z²
now by rearranging the 2nd equation we can substitute x² for (13² - z²)
(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z
13 goes in the box
Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
Answer:
3,225
Step-by-step explanation:
principal times interest time rate
Answer:
x = -5
Step-by-step explanation:
-5(1 - 5x) +5(-8x - 2) = -4x – 8x
First lets simplify each side of the equation.
-5+25x-40x-10 = -4x-8x
Combine like terms
-15x-15=-12x
Add 15x to both sides (addition property of equality)
-15=3x
Divide each side by 3 (division property of equality)
x=-5
The answer is x = -5
