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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? -
correct answerFirst, 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? - correct answerArea = 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? - correct answerThe 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? - correct answerMartina'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? - correct answerY= K*X
2= K*3
2/3 = K*3 /3
K = 2/3
Plug in K for the second formula
Y=2/3(9)
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? - correct answerArea= 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? - correct answerBoys + 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? - correct answerBoys + 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? - correct answerh(t) = 20-16t^2 + 32t