Answer:
1/8
Step-by-step explanation:
The probability of picking a 3 is 1/4.
The probability of picking an even number is 2/4.
1/4 × 2/4
2/16 = 1/8
Step-by-step explanation:
Write the prime factorization of each term:
9r⁵s = 3² × r⁵ × s
6r⁴s² = 2 × 3 × r⁴ × s²
12r²s = 2² × 3 × r² × s
The greatest common factor will have all the common factors raised to their lowest exponent.
So all three terms have 3, r, and s as factors. The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.
GCF = 3 × r² × s
GCF = 3r²s
Factor out the GCF:
9r⁵s + 6r⁴s² − 12r²s
3r²s (3r³ + 2r²s − 4)
Answer:
see below
Step-by-step explanation:
a. -11r ≥ 220
Divide both sides by -11 to isolate r.
r ≥ -20
b.
-8 ≤ -7 + (x/10)
Add 7 to both sides.
-1 ≤ x/10
Multiply both sides by 10 to cancel out the denominator of x.
-10 ≤ x
c. -1 - 6(5q - 2) ≥ -139
Distribute the -6 across the parentheses.
-1 - 30q + 12 ≥ -139
Combine like terms on the left side.
-30q + 11 ≥ -139
Subtract 11 from both sides.
-30q ≥ -150
Divide both sides by -30 to isolate q.
q ≥ 5
Hope this helps!
Answer:
I'm pretty sure "x" is 3 because
Step-by-step explanation:
3 x 2 is 6 + 1 is 7
Answer:
20
Step-by-step explanation:
The triangles are similar so we can use ratios
8 32
--- = -----
8+5 32+x
Using cross products
8(32+x) = 32(13)
Divide each side by 8
(32+x) = 32(13)/8
32+x = 4*13
32+x =52
Subtract 32
x = 20
