Since the numbers are consecutive, they must be near each other in size, and therefore near one-third of 168. And since the lower number is -2 off the middle, and the upper number is +2 from the middle, the middle number must be exactly one-third of 168—otherwise the sum of the three could never be 168. Labelling the three consecutive numbers as x, y, and z:
x + y + z = 168
(y-2) + y + (y+2) = 168.
3y = 168
y = 56
therefore the smallest number (x) = 54.
436 viewsView upvotes
1
Related Questions (More Answers Below)
First, plot the coordinates so you can easily see the parallelograms. The points in blue is the original parallelogram, while the points in orange form the parallelogram after the transformation.
As you can observe, the two properties form a mirror image (reflection) vertically (or across the y-axis). However, it is moved downwards by 10 units. To guide you, count the units of distance between the two topmost points of each of the two parallelograms. The answer is letter A.
Answer:
334 in^2.
Step-by-step explanation:
The surface area = area of the top prism + area of the bottom - 2 * area of the base of the top smaller prism
= 2(5*3 + 5*3 + 3*3) + 2(9*7 + 9*5 + 7*5) - 2* 3*5
= 2* 39 + 2*143 - 30
= 334
Answer:
−
1
⋅
9
2
=
1
2
x-1 \cdot \frac{9}{2}=12x
x−1⋅29=12x
Solve
1
Multiply the numbers
−
1
⋅
9
2
=
1
2
x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{9}{2}}}=12x
x−1⋅29=12x
−
9
2
=
1
2
x{\color{#c92786}{-\frac{9}{2}}}=12x
x−29=12x
2
Add
9
2
\frac{9}{2}
29
to both sides of the equation
3
Simplify
Step-by-step explanation:
Step-by-step explanation:
Total number of outcomes = 52 , since each deck consists of 52 cards
probability = Number of favorable outcomes/ Total number of outcomes
a) Number of favorable outcomes = Number of club cards = 13
P(club) =13/52 = 1/4
b) Number of favorable outcomes = Number of red cards = 26
P(red card) = 26/52 = 1/2
c) Number of favorable outcomes = Number of cards that are not hearts = 39/52 = 3/4
