Answer:
Let them defrost first, then heat them up for a couple of minutes in the toaster.
Step-by-step explanation:
Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
Answer:
Number of heavy equipment operators hired were 22
Number of general laborers hired were 11
Explanation:
Assume that number of heavy equipment operators hired is x and that number of general laborers is y.
We are given that:
1- Total number of hired people is 33. This means that:
x + y = 33
This can be rewritten as:
x = 33 - y ...........> equation I
2- heavy equipment operators are paid $135, general laborers are paid $89 and that the total payment was $3949. This means that:
135x + 89y = 3949 ............> equation II
Substitute with equation I in equation II and solve for y as follows:
135x + 89y = 3949
135(33-y) + 89y = 3949
4455 - 135y + 89y = 3949
506 = 46y
y = 506 / 46
y = 11
Substitute with y in equation I to get the value of x as follows:
x = 33 - y
x = 33 - 11
x = 22
Hope this helps :)
To solve for a variable, you need to get it (x) by itself.
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =

Check your work by plugging in

for x and then

.

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So,
x is
and 
.