The distributive property: a(b + c) = ab + ac
(-7c + 8d)0.6 = (-7c)(0.6) + (8d)(0.6) = -4.2c + 4.8d
<h3>
Answer: 53%</h3>
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Explanation:
The question asks "What percent of females participate in extracurricular activities?" This means we only focus on the second column. There are 36 women, and of this total, 19 are in extracurricular activities.
Dividing the two values leads to approximately 19/36 = 0.52777 which rounds to 0.53
Then we move the decimal to the right two spots to get 53%
Roughly 53% of the female students participate in extracurricular activities.
Answer:
the tip will be 1.40 which will make your bill total 15.40 hope this helps
Step-by-step explanation:
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer: each eraser cost 5 dollors
Step-by-step explanation: Simplifying
25 = 5 + 4e
Solving
25 = 5 + 4e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-4e' to each side of the equation.
25 + -4e = 5 + 4e + -4e
Combine like terms: 4e + -4e = 0
25 + -4e = 5 + 0
25 + -4e = 5
Add '-25' to each side of the equation.
25 + -25 + -4e = 5 + -25
Combine like terms: 25 + -25 = 0
0 + -4e = 5 + -25
-4e = 5 + -25
Combine like terms: 5 + -25 = -20
-4e = -20
Divide each side by '-4'.
e = 5
Simplifying
e = 5
