Answer:
63/70 is simplified to 9/10 in fraction form and 0.9 in decimal form.
14/30 is simplified to 7/15 in fraction form and 0.46 in decimal form.
24/36 is simplified to 2/3 in fraction form and 0.6 in decimal form.
10/50 is simplified to 1/5 in fraction form and 0.2 in decimal form.
40/56 is simplified to 5/7 in fraction form and 0.714285 in decimal form.
18/24 is simplified to 3/4 in fraction form and 0.75 in decimal form.
You can simplify these and future questions by cancelling out the numerator's and denominator's LCF (Least Common Factor). I hope this helps!
Answer:
x = 1000
Step-by-step explanation:
To solve for x, you do the same thing to both sides to isolate x.
To isolate x in this equation, you divide both sides by 10.
10x = 10,000
10x/10 = 10,000/10
x = 1,000
<u>Answer</u>
1148 4/7
<u>Explanation</u>
<em>Of</em> in mathematics means multiplication.
4/7 of 2010 = 4/7 ××2010
= (4×2010)/7
= 8040/7
= 1148 4/7
This means 1148 whole number and 4 over 7.
we are given
![s(t)=-4.9t^2+20t+60](https://tex.z-dn.net/?f=s%28t%29%3D-4.9t%5E2%2B20t%2B60)
(a)
we can plug t=0
![s(0)=-4.9(0)^2+20(0)+60](https://tex.z-dn.net/?f=s%280%29%3D-4.9%280%29%5E2%2B20%280%29%2B60)
![s(0)=60](https://tex.z-dn.net/?f=s%280%29%3D60)
so, the height above the ground when the object is launched is 60 meter......Answer
(b)
we can set s(t)=0
and then we can solve for t
![s(t)=-4.9t^2+20t+60=0](https://tex.z-dn.net/?f=s%28t%29%3D-4.9t%5E2%2B20t%2B60%3D0)
![-4.9t^2+20t+60=0](https://tex.z-dn.net/?f=-4.9t%5E2%2B20t%2B60%3D0)
we can use quadratic formula
![t=\frac{-200-\sqrt{200^2-4\left(-49\right)600}}{2\left(-49\right)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-200-%5Csqrt%7B200%5E2-4%5Cleft%28-49%5Cright%29600%7D%7D%7B2%5Cleft%28-49%5Cright%29%7D)
we get
..........Answer
(c)
we can find vertex
![t=\frac{-20}{2*-4.9}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-20%7D%7B2%2A-4.9%7D)
t=2.040816
now, we can plug it back
![s(2.040816)=-4.9(2.040816)^2+20(2.040816)+60](https://tex.z-dn.net/?f=s%282.040816%29%3D-4.9%282.040816%29%5E2%2B20%282.040816%29%2B60)
![s(2.040816)=80.408](https://tex.z-dn.net/?f=s%282.040816%29%3D80.408)
so, the maximum height is 80.408meter.........Answer
Answer:
78
Step-by-step explanation:
74 75 76 76 78 78 78 78 79
78 is in the middle