Answer:
88
Step-by-step explanation:
If there are 111 balls of 4 colors, if 100 are taken, and each at least 1 of each color appears, there has to be at least 12 of each color (if you take 100 marbles of 3 colors, all 11 of 1 color could still be in the box, so there has to be at least 12 of each). If there are 12 marbles of 3 colors, there would be 111-(12×3)=111-36-75 marbles of the last color. To get at least 1 marble in 3 colors add 75+12+1=88. If there are 12 marbles of 2 colors, there would be a combined total of 87 marbles for the other 2 colors. 87+1=88. If there is 12 marbles of 1 color, there would be a combined total of 99 marbles for the other 3 colors. If there was a divide of 97+1+1, the 2 colors with only 1 marble could have still been left in the box when 100 balls were taken. So there has to be at least 12 of the colors. So we get 111-12-12-12=75, which is the maximum number of marbles that 1 color can have. 75+12+1=88, our previous answer.
Hope this helps! (P.S. Please give me branliest, it will help me achieve my next rank.)
Answer:
![\huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbold%7B%20%5Ctt%28%20%5C%3A%200%20%5C%3A%20%20%2C5%20%5C%3A%20%29%7D%7D%7D)
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
☞ First, Let's explore about Midpoint :
Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :
![\boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B%28x%20_%7B%20%5C%3A%20%20m%20%5C%3A%20%7D%20%2C%5C%3A%20y_%7Bm%7D%29%20%3D%20%28%20%5Cfrac%7Bx_%7B1%7D%20%2B%20x_%7B2%7D%7D%7B2%7D%20%20%2C%5C%3A%20%20%5Cfrac%7By_%7B1%7D%20%2B%20y_%7B2%7D%7D%7B2%7D%20%29%7D%7D)
where ,
-
= co-ordinates of the midpoint
= co-ordinates of the first point
= co-ordinates of the second point
The Midpoint Formula is used to find the exact center point between two defined points in a line segment. The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.
Now, Let's solve it!
☯ Question :
- Find the midpoint of the segment with the following end points ( - 2 , 7 ) and ( 2 , 3 ).
☯ Step - by - step explanation :
Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :
- A ( - 2 , 7 ) → ( x₁ , y₁ )
- B ( 2 , 3 ) → ( x₂ , y₂ )
Apply midpoint formula , then plug the values and lastly simplify it :
![\sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} , \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })](https://tex.z-dn.net/?f=%20%20%5Csf%7B%20midpoint%20%5C%3A%20%20%3D%20%20%5C%3A%20%28%20%5Cfrac%7Bx%20_%7B%20%5C%3A%20%201%20%5C%3A%20%7D%20%2B%20x%20_%7B%20%5C%3A%20%202%20%5C%3A%20%7D%7D%7B2%7D%20%20%2C%20%20%5C%3A%20%20%5Cfrac%7By_%7B%20%5C%3A%20%201%20%5C%3A%20%7D%20%2B%20y%20_%7B%20%5C%3A%20%202%5C%3A%20%7D%7D%7B2%7D%20%7D%29)
➺ ![\sf{midpoint = ( \frac{ - 2 + 2}{2}, \: \frac{7 + 3}{2} )}](https://tex.z-dn.net/?f=%20%5Csf%7Bmidpoint%20%3D%20%28%20%5Cfrac%7B%20-%202%20%2B%202%7D%7B2%7D%2C%20%20%20%5C%3A%20%20%5Cfrac%7B7%20%2B%203%7D%7B2%7D%20%29%7D)
➺ ![\sf{midpoint = ( \frac{0}{2} , \: \frac{10}{2} )}](https://tex.z-dn.net/?f=%20%5Csf%7Bmidpoint%20%3D%20%28%20%5Cfrac%7B0%7D%7B2%7D%20%2C%20%20%5C%3A%20%20%5Cfrac%7B10%7D%7B2%7D%20%29%7D)
➺ ![\boxed{ \sf{ midpoint = ( \: 0 \: , 5})}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7B%20%20midpoint%20%3D%20%28%20%5C%3A%200%20%5C%3A%20%2C%205%7D%29%7D)
Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .
Hope I helped!
Have a wonderful time ッ
~TheAnimeGirl ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
It would take her 280 minutes.
Solving: 35/14= 2.5. 2.5•112 = 280
Nope, it's 29<35 vs 29-35
Answer:
B . equilateral
Step-by-step explanation:
An equilateral triangle has three equal sides and angles. It will always have angles of 60° in each corner.