Answer:
1356 cm²
Step-by-step explanation:
Each dimension gets multiplied by 2, so the new dimensions are
changed from 2x8x7 to 6x24x21
There are 6 faces to the prism,
The area of the front and back are 6x21 = 126. There are 2 of them for a total area of 126x2 = 252 cm²
The are of the left and right sides are 24x21 = 504. There are 2 of them for a total area of 504x2 = 1008 cm²
The area of the top and bottom are 6x24 = 144, there are 2 of them for a total area of 144x2 = 288 cm²
The total surface area is 252 + 1008 + 96 = 1356 cm²
86% because 0.086 equates ti 8.6%
Answer:
y = 4x+6
The input is 11 when the output is 50
Step-by-step explanation:
We need to find the slope of this function using 2 points
(3,18) and (0,6) are two points
m = (y2-y1)/(x2-x1) is the formula for slope
=(6-18)/(0-3)
-12/-3
=4
The slope is 4
We know the y intercept. It is the value when x =0. The y intercept is 6
We can use the slope intercept form of the equation
y = mx+b, where m is the slope and b is the y intercept.
y = 4x+6
We want to know the input when the output is 50 (or y=50)
50 = 4x+6
Subtract 6 from each side
50-6 = 4x+6-6
44 = 4x
Divide by 4
44/4 = 4x/4
11=x
The input is 11
Let g and b represent the numbers of grandstand and bleacher tickets sold.
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.
9514 1404 393
Explanation:
You can check your answer by making sure that each of the primes you found is actually a prime. (Compare to a list of known primes, for example.) After you have determined your factors are primes, multiply them together to see if the result is 73. If so, you have found the correct prime factorization.
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<em>Additional comment</em>
73 is prime, so its prime factor is 73.
73 = 73
