Answer:
Step-by-step explanation:
we know that
![\°C=\frac{5}{9}[\°F-32]](https://tex.z-dn.net/?f=%5C%C2%B0C%3D%5Cfrac%7B5%7D%7B9%7D%5B%5C%C2%B0F-32%5D)
For 
substitute in the formula and solve for F
![94=\frac{5}{9}[F-32]](https://tex.z-dn.net/?f=94%3D%5Cfrac%7B5%7D%7B9%7D%5BF-32%5D)
![(\frac{9}{5})*94=[F-32]](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B5%7D%29%2A94%3D%5BF-32%5D)
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Step-by-step explanation:
J=(x+4)²
K=(8-x)
X=5
=J+3k
=(x+4)(x+4)+3(8-x)
=(x²+8x+16+24-3x)
=25+25+40
=90
Alternatively:
J=(5+4)²
J=81
K=8-5
K=3
J+3k
81+3(3)
81+9
90
Hi there!
Since both 4x and 20 can be divisible by 4 and is greatest able to be divisible by 4, we can divide the 4 and put it outside of the parenthesis in order to factor:
4x / 4 = x
20 / 4 = 5
4 (x + 5)
would be your answer.
Hope this helps!
Answer:
Step-by-step explanation:
