Answer:
= 1.22 × 109
(scientific notation)
= 1.22e9
(scientific e notation)
= 1.22 × 109
(engineering notation)
(billion; prefix giga- (G))
= 1220000000
<span>(real number)
</span>_________________________________________________
Answer:
= 2.87 × 10-2
(scientific notation)
= 2.87e-2
(scientific e notation)
= 28.7 × 10-3
(engineering notation)
(thousandth; prefix milli- (m))
= 0.0287
<span>(real number)</span>
<h3>
Answer is choice D) 5:3</h3>
Explanation:
The volumes are in the ratio 3625:783 which reduces fully to 125:27 after dividing both parts by the GCF 29.
Both 125 and 27 are perfect cubes because 125 = 5^3 and 27 = 3^3
Therefore, the volume ratio 125:27 turns to the linear scale factor ratio 5:3
If you were to cube both sides of the linear ratio 5:3, you would get the volume ratio 125:27. Cube rooting both sides will have you go in reverse.
Answer:
the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths
= (9 
n ) + (20 (3/5)n) = 9n + 12n = 21n
Step-by-step explanation:
i) there are n noodles in a necklace
ii) there are 9 necklaces
iii) therefore the number of noodles used to make the nine necklaces = 9 n = 9n
iv) there are 3/5 noodles in a wreath
v) there are 20 wreaths
vi) therefore the number of noodles used to make the nine necklaces
= 20 (3/5)n = 12n
vii) the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths
= (9 n ) + (20 (3/5)n) = 9n + 12n = 21n
Answer:
10
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
d = √(-8 - -2)² + (9 - 1)²
d = √(-6)² + (8)²
d = √(36) + (64)
d = √100
d = 10
First, let's add the two from both sides.
y + 2 = 3x - 2 + 2
y + 2 = 3x
Now, all we have to do is to divide both sides by 3.
(y + 2)/3 = (3x)/3
(y + 2)/3 = x
And now, flip both sides around so it looks nicer.
x = (y + 2)/3
