Answer: 13800
Step-by-step explanation:
I just took the test and got a 100.
1. A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?
1680
2. At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?
60
3. The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?
560
4.How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?
66
5. The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.
13800
Step-by-step explanation:
Let the required number be x
Thus, the required number is 200.
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
Step-by-step explanation:
<em>4</em><em> </em><em>ton</em><em> </em><em>in</em><em> </em><em>kg</em><em> </em><em>=</em><em>4</em><em>×</em><em>1</em><em>0</em><em>0</em><em>0</em><em>=</em><em>4</em><em>0</em><em>0</em><em>0</em><em>k</em><em>g</em>
<em>5</em><em> </em><em>kg</em><em> </em><em>in</em><em> </em><em>ton</em><em> </em><em>=</em><em> </em><em>5</em><em>×</em><em>1</em><em>0</em><em>0</em><em>0</em><em>=</em><em>5</em><em>0</em><em>0</em><em>0</em><em>k</em><em>g</em>
<em>6</em><em>=</em><em>kg</em><em> </em><em>=</em><em>6</em><em>×</em><em>1</em><em>0</em><em>0</em><em>0</em><em>=</em><em>6</em><em>0</em><em>0</em><em>0</em><em>k</em><em>g</em>
<em>7</em><em>m</em><em>m</em><em> </em><em>in</em><em> </em><em>cm</em><em> </em><em>=</em><em> </em><em>7</em><em>×</em><em>1</em><em>0</em><em>=</em><em>7</em><em> </em><em>cm</em>
Answer:
c=116 a=47 b=69 e=86 d=93
Step-by-step explanation:
