Answer:
6 to the power of 2.
Step-by-step explanation:
Recall that whenever you divide exponents with the same base, you subtract the powers, but the base will still be the same. Therefore, 6 to the power of 12 divided by 6 to the power of 10 is 6 to the power of 2. Subtract the powers (exponents) or 12 minus 10, and you get 2. Since the base doesn't change, it is still 6. The solution to this expression is 6 to the power of 2. Hope this helps!
Answer:
The cost of soft drink is $0.95
Step-by-step explanation:
Let the cost of hot dog be x
Cost of 2 hot dogs = 2x
Let the cost of soft drink be y
Cost of 3 soft drinks = 3y
At a cost restaurant the cost for a hot dog and a soft drink is $2.10.
So, x+y=2.10
The cost for two hot dogs and three soft drinks is $5.15
So, 2x+3y=5.15
Plot the lines on the graph:
x+y=2.10 --Purple line
2x+3y=5.15 --- Black Line
Intersection point =(x,y)=(1.15,0.95)
Hence The cost of soft drink is $0.95
Answer:
Surface area of square pyramid shown in picture:
A = area of 4 triangles + area of square
= 4 x 4 x 3 x (1/2) + 3 x 3
= 33 (ft)
=> Option 4 (last one) is correct
Hope this helps!
:)
Answer:
x = 27
y = 29
Step-by-step explanation:
I am going to show you how easy this is. Once you understand, you will be able to do this forever.
:
Assuming the side of the rectangle are (L) length and (W) width, the perimeter:
2L + 2W = 234
:
"the rectangle is twice as long as it is wide,", the equation for this statement:
L = 2W
:
In the first equation, we can replace L with 2W, then we have
2(2W) + 2W = 234
4W + 2W = 234
6W = 234
Divide both sides by 6
W = 234%2F6
W = 39 meters is the width
:
Remember it said the length is twice the width, therefore:
L = 2(39)
L = 78 meters is the length
:
:
Check this by finding the perimeter with these values
2(78) + 2(39) =
156 + 78 = 234
