<span>The Greates Common Factor (GCF) is: 3 x 11 = 33</span>
Answer:
Step-by-step explanation:
Don't know. Maybe you add up the two numbers then divide the answer.
This is a mixture problem.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
mass1 * karat1 + mass2*karat = total mass * total carat
Let mass1 be x g. mass 2 would be = (200 -x)
karat 1 = 9 karat 2 = 18
Total mass = 200g.
Total karat = 14.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.
3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
Answer:
x = 4/7
Step-by-step explanation:
x^3 = 64/ 343 // - 64/ 343
x^3 - ( 64/ 343 ) = 0
x^3 - 64 / 343 = 0
1*x^3 = 64/ 343 // : 1
x^3 = 64/ 343
x^3 = 64/ 343 // ^ 1/3
x = 4/ 7