Answer: 5^2
Step-by-step explanation:
Since the base are all the same, you will add the exponents and let the exponents stay the same.
5^3 * 5^4= 5^7 * 5^-5= 5^2
Answer:
Step-by-step explanation:
The algebraic expression states that
"The class we divided into four equal groups."
We have our expression right at the word of "divided", therefore the answer would be a division problem.
w over 4 fits this because it fits the expression, w - class and 4 - amount of groups.
4 + w - Would be the class added four groups
4w - The class multiplies four more groups
4 - w - Four groups was taken from the class
Answer:
xy=2
Step-by-step explanation
2x + 3y =12
First divide 2 on both sides of the equation, than divide 3 on both sides of the equation.
1.) To find the surface area, we want to find the area of each side, then add them all up together:
Area of base=lwA=(5)(5)A=25 cm²
Area of triangle=1/2bhA=(1/2)(5)(12.5)A=31.25 cm²
Since the 4 triangles have the same area, we can multiply the area we found by 4 and then add the area of the square:
SA=(4)(31.25) + 25SA=125+25SA=150 cm²
2.) <span>To find the volume use the formula:
V=(1/3)lwh
V=(1/3)(5)(5)(12.5)
V=104.167 cm^3</span>
We can solve this by setting up 2 equations. We can use any letters like. For now, I'll use x and y.
So now we know that x - y = 0.7 and x + y = 1.
Now we can eliminate one of the letters by adding or subtracting one equation from the other. I am going to eliminate y by adding the two together (the y and the -y cancel).
This gives us 2x = 1.7, and so x = 1.7 ÷ 2 = 0.85
Finally, we can substitute x for 0.85 back into one of the original equations to figure out what y equals. I'm going to use x + y = 1.
So now we have 0.85 + y = 1, so y = 1 - 0.85 = 0.15
The numbers, therefore, are 0.85 and 0.15 (you can check by using the other equation).
Hope this helps!
