Answer:
There are 68 students in the class after these changes.
Step-by-step explanation:
g = number of girls
b = number of boys
Because the ratio of girls to boys is 3:1, initally the equation was
g = 3b
Finally, we have
g-1 girls because one girl dropped the class
b+3 boys because three more boys signed up
Because the new ratio of girls to boys is 5:2, the new equation is
(g - 1)/(b + 3) = 5/2
Cross multiply.
2(g - 1) = 5(b + 3)
2g - 2 = 5b + 15
2g - 5b = 17
Then, substitute g (which is 3b because the first equation was g = 3b)
2(3b) - 5b = 17
b = 17
g = 3b = 3*17 = 51
g = 51
The final number of students in the class = 17 + 51 = 68
Answer: 68
The tangent is the ratio of the perpendicular and the base of the right triangle. Then tan A will be x/y.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle ΔABC is given.
The angle ∠C is 90°.
And the perpendicular is x, the base is y, and the hypotenuse is z.
Then the value of the tangent of angle ∠A will be
The tangent is the ratio of the perpendicular and the base of the right triangle.
tan A = x/y
More about the trigonometry link is given below.
brainly.com/question/22698523
#SPJ1
Answer:
45 cm²
Step-by-step explanation:
Area of polygon = Area of square + (area of triangle)
= (side * side) + (1 / 2 * bh)
= 5*5 + (1 / 2 * 5 * 8)
= 25 + (20)
= 25 + 20
= 45 cm²
Answer:
(a)0.75x+1200=3.50x
(b)
(c)0.75x+1200<3.50x
(d)
It means the store needs to sell more than 436 funnel cakes to make a profit
Step-by-step explanation:
Given the Cost and revenue function of John boy and Mary Ellen's food stand below:
C= 0.75x+1200.
R=3.50x
(a)When Cost = Revenue
Then:
0.75x+1200=3.50x
(b)To solve the equality from part (a) above
0.75x+1200=3.50x
Collect like terms
1200=3.50x-0.75x
1200=2.75x
Divide both sides by 2.75
When Cost equals revenue, it is the <u>Break-Even Point.</u> It means the food stand will have to sell 436 funnel cakes to break even.
(c) When Cost is Less than Revenue
(d)Solving the inequality
C(x)<R(x)
0.75x + 1200<3.50x
Collect like terms
1200<3.50x-0.75x
1200<2.75x
Divide both sides by 2.75
It means the store needs to sell more than 436 funnel cakes to make a profit.
