Answer:
x = 245
Step-by-step explanation:
The sum of integers x and y is 280; x + y = 280
If x is divided by 7, the quotient is y; x/7 = y so x = 7y
Now you have 2 equations:
x + y = 280
x = 7y
Substitute x = 7y into x + y = 280
7y + y = 280
8y = 280
y = 35
x = 7(35)
x = 245
Answer
x = 245
Answer:
5x = 5(10) = 50 inches
Step-by-step explanation:
Let x = length of shorter piece then
5x = length of the longer piece
.
x + 5x = 60
6x = 60
x = 10 inches (shorter piece)
.
Longer piece:
5x = 5(10) = 50 inches
Answer:
(x + 3)(x + 8)
Step-by-step explanation:
We're looking for two numbers that have a sum of 11 and product of 24; these numbers are 3 and 8 so the factored form is (x + 3)(x + 8).
Answer:
308[cos(45) + isin(45)]
Step-by-step explanation:
z1×z2:
Modulus: r1 × r2
= 7×44 = 308
Argument: theta1 + theta2
= -70 + 115 = 45
z1z2 = 308[cos(45) + isin(45)]
Or
z1z2 = 154sqrt(2) + (i)154sqrt(2)
sqrt: square root
Exact value of that equation is 4