Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls would Janet produce each month? - First, calculate 18% of 23. 23 × 0.18 = 4.14 Then, add this value (the increase) to the original value of 23. 23 + 4.14 = 27.14 Rounding off, we get 27. What is the formula for Area? - Area = L*W Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the perimeter of the porch? - The formula for the area of a rectangle: A = Width * Length From the question we know that L = 2W and that A = 50. So we can plug these values into our equation and solve for W: 50 = W * L 50 = W * 2W 50 = 2W² W² = 25 W = 5 We know that L = 2W, so L = 10 Perimeter = 2L + 2W Perimeter = 2 * 10 + 2 * 5 Perimeter = 30 Diego's current age is five times Martina's age ten years ago. If Martina is currently m years old, what is Diego's current age in terms of m? - Martina's age ten years ago is: m − 10 So Diego's age is: 5(m − 10) = 5m − 50 The variables x and y are directly proportional, and y = 2 when x = 3. What is the value of y when x = 9? - Y= K*X 2= K*3 2/3 = K*3 /3 K = 2/3 Plug in K for the second formula Y=2/3(9) MATHS 2022 Y = 2*3 = 6 The correct answer is 6 The yard behind Cindy's house is rectangular in shape and has a perimeter of 72 feet. If the length L of the yard is 18 feet longer than the width W of the yard, what is the area of the yard, in square feet? - Area= L*W Perimeter= 2l + 2w L = W + 18 = 9+ 18 = 27 72 = 2 ( W+18) = 2w 72 = 2w+ 36+ 2w 72 = 4w + 36 36/4 = 4w/4 ----> 9= W 27* 9 = 243 The answer is 243 There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part? - Boys + girls = 20 8 of the children are boys + 12 girls = 20 the boys have 4 speaking parts and 4 do NOT have a speaking part. And of the girls 4 have a speaking part, but 8 of the girls do NOT have a speaking part. all of that added up should give you 20. 8 out of 20 have a speaking part, so we write that in a fraction form reduce it down which gives you the answer: 2/5 There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a speaking part? - Boys + girls = 20 8 of the children are boys + 12 girls = 20 the boys have 4 speaking parts and 4 do NOT have a speaking part. And of the girls 4 have a speaking part, but 8 of the girl do NOT have a speaking part. all of that added up should give you 20. 8 out of 20 have a speaking part, so we write that in a fraction form reduce it down which gives you the answer: 2/5 A ball was kicked into the air from a balcony 20 feet above the ground, and the ball's height above the ground, in feet, t seconds after the ball was kicked was h(t) = 20 − 16t2 + 32t. What was the maximum height, in feet, of the ball above the ground after it was kicked? - h(t) = 20- 16t^2 + 32t h(t) = -16t^2 +32+20 x= -b /2a = -(32)/2(-16) = -32/-32 = 1 Plug one in the original equation. h(1) = -16(1)^2 +32+20 = -16+32+20 The answer is 36 ft In the xy-plane, what is