Answer:
7times 6<9 times 5
Step-by-step explanation:
7 times 6 is 42 and 9 times 5 is 45 so nine times five is larger
Answer:
2.8
Step-by-step explanation:
tan = opposite / adjacent
( opposite = side opposite of the angle and adjacent = side length that is not the opposite nor the hypotenuse ( longest side ) )
we are given an angle, ∠E = 26°
tanE = x / 5.7
tan26 = x / 5.7
==> multiply both sides by 5.7
5.7tan26 = x
==> simplify
x = 2.8 ( rounded )
Zero.
None of the 14 cm cubes will fit within the 8 cm height.
Answer:
![e^7=x](https://tex.z-dn.net/?f=e%5E7%3Dx)
Step-by-step explanation:
Given the logarithm function
![In\left(x\right)=\:7](https://tex.z-dn.net/?f=In%5Cleft%28x%5Cright%29%3D%5C%3A7)
For logarithmic equations,
is equivalent to
such that
and ![b\ne 1](https://tex.z-dn.net/?f=b%5Cne%201)
In current case:
![b=e\:](https://tex.z-dn.net/?f=b%3De%5C%3A)
![\:x=x](https://tex.z-dn.net/?f=%5C%3Ax%3Dx)
![\:y=7](https://tex.z-dn.net/?f=%5C%3Ay%3D7)
Substituting the values of
and
into the equation ![b^y=x](https://tex.z-dn.net/?f=b%5Ey%3Dx)
![e^7=x](https://tex.z-dn.net/?f=e%5E7%3Dx)
Answer:
Japan - $21.95
Switzerland - $7.33
Step-by-step explanation:
Let the cost of movies in Japan be x and the cost of movies in Switzerland be y. We can write two equations that relate x to y. If we have two equations and two unknowns we can solve for x and y.
For the total cost of $80.5:
![80.5=3\cdot{x}+2\cdot{y}](https://tex.z-dn.net/?f=80.5%3D3%5Ccdot%7Bx%7D%2B2%5Ccdot%7By%7D)
WE can write in terms of y:
![80.5/2-(3/2)\cdot{x}=y](https://tex.z-dn.net/?f=80.5%2F2-%283%2F2%29%5Ccdot%7Bx%7D%3Dy)
and substitute into: total of $76.85:
![76.85=2\cdot{x}+3\cdot{y}](https://tex.z-dn.net/?f=76.85%3D2%5Ccdot%7Bx%7D%2B3%5Ccdot%7By%7D)
![76.85=2\cdot{x}+3\cdot{80.5/2-(3/2)\cdot{x}}](https://tex.z-dn.net/?f=76.85%3D2%5Ccdot%7Bx%7D%2B3%5Ccdot%7B80.5%2F2-%283%2F2%29%5Ccdot%7Bx%7D%7D)
solve for x
![76.85-3\cdot{80.5/2}=2\cdot{x}-3\cdot{(3/2)\cdot{x}}](https://tex.z-dn.net/?f=76.85-3%5Ccdot%7B80.5%2F2%7D%3D2%5Ccdot%7Bx%7D-3%5Ccdot%7B%283%2F2%29%5Ccdot%7Bx%7D%7D)
![-43.9=-2.5\cdot{x}](https://tex.z-dn.net/?f=-43.9%3D-2.5%5Ccdot%7Bx%7D)
![x=21.95](https://tex.z-dn.net/?f=x%3D21.95)
then y is:
![y=7.33](https://tex.z-dn.net/?f=y%3D7.33)