Answer:
29/36
Step-by-step explanation:
5/9 + 1/4
The common denominator is 36
5/9 *4/4 = 20/36
1/4*9/9 = 9/36
20/36 + 9/36 = 29/36
Substitute y in 8x - 3y = -22.
8x - 3(5x + 19) = -22
Simplify.
8x - 15x - 57 = -22
Simplify.
-7x - 57 = -22
Add 57 to both sides.
-7x = 35
Divide both sides by -7.
x = -5
Substitute x in y = 5x + 19.
y = 5(-5) + 19
y = -25 + 19
y = -6
The solution is (-5, -6).
Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
Answer:
$7.15
Step-by-step explanation:
You would get this by dividing $35.75 by 5.
Answer:
Cosine
Step-by-step explanation:
Cosine = 
Cos 70 = 
0.633 =
0.633 x 8 = x 8
5.064 = x
