You divide each side of the equation by 'a', and you immediately have
the value of 'x' in terms of 'a and 'b'.
Answer:
D) 3.250×10^4 days
Step-by-step explanation:
You know there are 24 hours in a day, so the number of hours must be divided by the hours per day to find the number of days:
(7.8×10⁵ h)/(2.4×10¹ h/da) = (7.8/2.4)×10⁵⁻¹ da = 3.250×10⁴ da
Answer:
Minutes to make one balloon sculpture = 5 minutes
Balloons are used for one balloon sculpture= 8 balloons
Tomas use balloons = 1.6 per minute
Step-by-step explanation:
a).
180 minutes = 36 sculpture
![\frac{180 }{36 } = 5](https://tex.z-dn.net/?f=%5Cfrac%7B180%20%7D%7B36%20%7D%20%3D%205)
5 minutes to make a sculpture
b).
288 balloons = 36 sculpture
![\frac{288 }{36 } = 8](https://tex.z-dn.net/?f=%5Cfrac%7B288%20%7D%7B36%20%7D%20%3D%208)
8 Balloons to make a sculpture
c).
288 Balloons = 180 minutes
![\frac{288}{180} = 1.6](https://tex.z-dn.net/?f=%5Cfrac%7B288%7D%7B180%7D%20%3D%201.6%20)
1.6 Balloons per minute
Answer:
8 cm
Step-by-step explanation:
Let x cm be the length of the base, then the length of the height is x+7 cm. Use formula for the area of the triangle:
![A_{triangle}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}](https://tex.z-dn.net/?f=A_%7Btriangle%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20%5Ctext%7Bbase%7D%5Ccdot%20%5Ctext%7Bheight%7D)
In your case,
![60=\dfrac{1}{2}\cdot x\cdot (x+7),\\ \\120=x(x+7),\\ \\x^2+7x-120=0,\\ \\D=7^2 -4\cdot 1\cdot (-120)=49+480=529,\\ \\x_{1,2}=\dfrac{-7\pm\sqrt{529}}{2\cdot 1}=\dfrac{-7\pm 23}{2}=-15,\ 8](https://tex.z-dn.net/?f=60%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20x%5Ccdot%20%28x%2B7%29%2C%5C%5C%20%5C%5C120%3Dx%28x%2B7%29%2C%5C%5C%20%5C%5Cx%5E2%2B7x-120%3D0%2C%5C%5C%20%5C%5CD%3D7%5E2%20-4%5Ccdot%201%5Ccdot%20%28-120%29%3D49%2B480%3D529%2C%5C%5C%20%5C%5Cx_%7B1%2C2%7D%3D%5Cdfrac%7B-7%5Cpm%5Csqrt%7B529%7D%7D%7B2%5Ccdot%201%7D%3D%5Cdfrac%7B-7%5Cpm%2023%7D%7B2%7D%3D-15%2C%5C%208)
Since the base cannot have negative length, then x=8 cm.
Answer:
y=-6/5x-3
Step-by-step explanation:
y-3=-6/5(x+5)
y=-6/5x-3