Hi there!
We can solve by setting both equations equal to each other:
.5x + 4 = -.25x² + 5
Move everything to one side:
0 = -.25x² - .5x + 1
Multiply both sides by 4 to cancel out the decimals:
0 = -x² - 2x + 4
Factor out negative from both sides:
0 = x² + 2x - 4
Use the quadratic formula:
Plug in the corresponding terms:
Simplify:
Simplify the radical to reduce:
Divide all terms by 2:
Answer:
Step-by-step explanation:
Write the ratio of 3/7 to 9 as a fraction in simplest form
-----
(3/7):9
Multiply by 7
= 3:63
= 1:21
P.S ... I found this on the internet
Yes because if you write it it's twenty nine out of one hundred
Amount of pizza eaten by Charlie.
7/6× 22/7 × (101/2)² =9350.91667
Amount of pizza eaten by Julie
5/12 × 22/7 × 90.5² = 10725.3273
Answer = Julie
Step-by-step explanation:
The sum is 1225
Solution :
The numbers from 150 to 200 divisible by 7 are 154,161 ,168,…., 196
Here, a=154,d=7a=154,d=7 and tn=196tn=196
tn=a+(n−1)dtn=a+(n-1)d …(Formula )
∴196=154+(n−1)×7∴196=154+(n-1)×7 …(Substituting the values )
∴196−154=(n−1)×7∴196-154=(n-1)×7
∴427=n−1∴427=n-1 ∴n−1=6∴n-1=6 ∴n=7∴n=7
Now, we find the sum of 7 numbers.
Sn=n2[t1+tn]Sn=n2[t1+tn] ...(Formula )
=72[154+196)=72[154+196)
=72×350=72×350
=7×175=7×175
=1225
