Answer:
15 feet.
Step-by-step explanation:
A bulletin board has been shown in the figure below.
Where the width of the board AB = DC =
= 4.5 feet
and the length of the board AD = BC = 6 feet
As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.
In right angle triangle <em>ADC</em>, using Pythagorean Theorem,
= 
feet
Similarly in triangle <em>BDC</em>,

feet
Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet
Answer:
Jasmine only.
Jasmine and Kanti only.
No one.
Step-by-step explanation:
There is no possible way to invite all three friends.
Since both Samir and Kanti will not attend if someone else is not invited, Jasmine is the only friend that can be invited on her own:
One person: Jasmine.
When inviting two people, if Jasmine is invited, Samir can't be invited and Kanti will only attend if Jasmine also does. Therefore, Jasmine and Kanti can go together and there is no way Kanti can be invited.
Two people: Jasmine and Kanti.
Furthermore, if nobody is invited, no one will be unhappy.
Answer:
The Answer is: The first number is -70 and the second number is -68.
Step-by-step explanation:
Let f = first number and s = second number.
The sum of both is -138:
f + s = -138
The difference is -2
f - s = -2
Solve for f:
f = -2 + s
f = s - 2
Substitute:
s - 2 + s = -138
2s = -136
s = -68, the second number
Solve for f:
f = s - 2
f = -68 - 2 = -70, the first number
Proof:
f + s = -138
-68 + (-70) = -138
-138 = -138
Then:
f - s = -2
-70 - (-68) = -2
-70 + 68 = -2
-2 = -2
Hope this helps! Have an Awesome Day!! :-)
Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378