Answer:
25m^3n^7
Step-by-step explanation:
Let's write out the equation
5mn^4 • 5m^2n^3
When we multiply exponents with similar bases, you add them together.
For example 2^2 • 2^2= 2^4
Numbers with no exponent are to the power of one
For example: 2= 2^1
Now that we know this, let's combine like terms
5 • 5=25
m^1•m^2=m^3
n^4•n^3=n^7
Answer: 25m^3n^7
Answer:
step 4 I believe
Step-by-step explanation:
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
Answer:
The amount of mango juice needed is 8 quarts
Step-by-step explanation:
To calculate the amount of mango juice needed, we will need to know the amount used the previous week.
Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x
This means;
3/2 = 4/x
1.5 = 4/x
1.5x = 4
x = 4/1.5 quarts
Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts
The missing side would be 10