Answer:
$1.65
Step-by-step explanation:
1.25 x 4 = 5.00
18.20 - 5.00 = 13.20
13.20 / 8 = 1.65
they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8
The slope of the line is 5/9.
Answer:
The possible measures of the midsegment are <u>32 units and 212 units</u>.
Step-by-step explanation:
Given:
A triangle PQR with the midsegment made by sides PQ and PR has length equal to
and the base length QR opposite to the midsegment is
.
From midsegment theorem, we know that, the midsegment is a line parallel to the base opposite to it and half the length of the base length.
Therefore, Midsegment =
Base length QR
![8x^2+12x+36=\frac{1}{2}(4x^2+60x+120)\\\\8x^2+12x+36=2x^2+30x+60\\\\(8x^2-2x^2)+(12x-30x)+(36-60)=0\\\\6x^2-18x-24=0\\\\6(x^2-3x-4)=0\\\\x^2-3x-4=0\\\\x^2+x-4x-4=0\\\\x(x+1)-4(x+1)=0\\\\(x+1)(x-4)=0\\\\x=-1\ or\ x=4](https://tex.z-dn.net/?f=8x%5E2%2B12x%2B36%3D%5Cfrac%7B1%7D%7B2%7D%284x%5E2%2B60x%2B120%29%5C%5C%5C%5C8x%5E2%2B12x%2B36%3D2x%5E2%2B30x%2B60%5C%5C%5C%5C%288x%5E2-2x%5E2%29%2B%2812x-30x%29%2B%2836-60%29%3D0%5C%5C%5C%5C6x%5E2-18x-24%3D0%5C%5C%5C%5C6%28x%5E2-3x-4%29%3D0%5C%5C%5C%5Cx%5E2-3x-4%3D0%5C%5C%5C%5Cx%5E2%2Bx-4x-4%3D0%5C%5C%5C%5Cx%28x%2B1%29-4%28x%2B1%29%3D0%5C%5C%5C%5C%28x%2B1%29%28x-4%29%3D0%5C%5C%5C%5Cx%3D-1%5C%20or%5C%20x%3D4)
Now, midsegment can be calculated using the values of 'x'.
First, plug in -1 for 'x'. This gives,
![Midsegment=8(-1)^2+12(-1)+36\\\\Midsegment=8\times 1-12+36\\\\Midsegment=8-12+36=32\ units](https://tex.z-dn.net/?f=Midsegment%3D8%28-1%29%5E2%2B12%28-1%29%2B36%5C%5C%5C%5CMidsegment%3D8%5Ctimes%201-12%2B36%5C%5C%5C%5CMidsegment%3D8-12%2B36%3D32%5C%20units)
Now, plug in 4 for 'x'. This gives,
![Midsegment=8(4)^2+12(4)+36\\\\Midsegment=8\times 16-48+36\\\\Midsegment=128+48+36=212\ units](https://tex.z-dn.net/?f=Midsegment%3D8%284%29%5E2%2B12%284%29%2B36%5C%5C%5C%5CMidsegment%3D8%5Ctimes%2016-48%2B36%5C%5C%5C%5CMidsegment%3D128%2B48%2B36%3D212%5C%20units)
Therefore, the possible measures of the midsegment are 32 units and 212 units
The question can't be answered without knowing how many red marbles and how many blue marbles are in the bottle.