1. 3(p+q)=p
3p+3q=p; 3p-p=3q; 2p=q so p=q/2
2. 4a=2b-7
2b=4a+7 so b=(4a+7)/2
when a=3 , b=(12+7)/2=19/2=9.5
3. d=rt; r=d/t
4.( 2x15)+(2xwidth)=90
2x width=90-30
width =60/2=30
Answer:
months
Step-by-step explanation:
Given that company
charges
upfront and
per month and company B does not charge the upfront fee but charges
per month.
Let after
months both the company charges the same amount.
Total charges by the company
and total charges by the company
.
Now, from the given condition both the charges are equal, so
![75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15](https://tex.z-dn.net/?f=75%2Bn%5Ctimes%2020%3Dn%5Ctimes%2035%20%5C%5C%5CRightarrow%2075%3D%2035%20n%20-%2020%20n%5C%5C%5CRightarrow%2075%3D%2015%20n%20%5C%5C%5CRightarrow%20n%3D%20%5Cfrac%20%7B75%7D%7B5%7D%20%5C%5C%5CRightarrow%20n%3D%2015)
Hence, after
months both the company charges the same amount.
Answer:
20%
Step-by-step explanation:
With those changes, the fraction is multiplied by ...
![\dfrac{1+.20}{1+.50}=1-\dfrac{.30}{1.50}=1-0.20](https://tex.z-dn.net/?f=%5Cdfrac%7B1%2B.20%7D%7B1%2B.50%7D%3D1-%5Cdfrac%7B.30%7D%7B1.50%7D%3D1-0.20)
That is, the value of the fraction is decreased by 20%.
A copy of the diagram is shown below
Point D is the intersection of three angle bisector.
BE is the angle bisector of ∠B
CF is the angle bisector of ∠C
AG is the angle bisector of ∠A
Point D is also the intersection between three perpendicular bisector
BE is the perpendicular bisector of AC
AG is the perpendicular bisector of BC
CF is the perpendicular bisector of AB
Hence the correct statements is statement 1 and statement 4