Answer:
Step-by-step explanation:
If there are twelve contestants, the number of ways in which they can select the first and second turn can be calculated using the rule of multiplication as:
<u> 12 </u>*<u> 11 </u>= 132
1st turn 2nd turn
Because, they are going to have 12 contestants for the first turn and then they are going to have 11 contestants for the second.
On the other hand, 1 of these options is that you go first and your friend goes second, so the probability that this happens is equal to:
The surface area of the composite shape is: 315 in.².
<h3>What is the Surface Area of the Composite Shape?</h3>
Surface area = surface area of square pyramid + surface area of square prism - 2(base area)
Surface area of square pyramid = Area of base + 1/2(perimeter of base × slant height) = 9² + 1/2[4(9) × 7] = 207 in.²
Surface area of square prism = 2a² + 4ah = 2(9²) + 4(9)(3)
Surface area of square prism = 2(9²) + 4(9)(3) = 270 in.².
Base area = 9² = 81 in.².
Surface area of the composite shape = 207 + 270 - 2(81) = 315 in.².
Learn more about surface area on:
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Answer:
The answer is that the cost will be a total of $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
Step-by-step explanation:
Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.
Let w = watermelon weight and tomato weight.
An equation would be:
.68w + 3.25t = Total cost
For 185 lb of Watermelon and 5 lbs of tomatoes:
.68(185) + 3.25(5) =
$125.80 + $16.25 = $142.05
(Hope this helps. Btw, I am the first to answer!!)
Answer:
The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal.
Step-by-step explanation:
so for example if a=b then a x c=b x c
because your doing the same thing to both sides.
Answer:
y-1 = 5(x+8)
Step-by-step explanation:
The standard equation of a line in point slope form is expressed as;
y-y0 = m(x-x0)
m is the slope
(x0, y0) is the point
Given
Slope m = 5 (assumed value)
Point (-8,1)
Substitute the given data's into the formula
y -1 = 5(x-(-8))
y-1 = 5(x+8)
Hence the required equation is y-1 = 5(x+8)