Answer:
8 + 5 = 13 apples
Step-by-step explanation:
The words "in all" mean addition. Therefore, 8 apples plus 5 apples equals 13 apples.
Formula for an is 3n - 11
Step-by-step explanation:
- Step 1: Equation for a(n) = a + (n - 1)d where a = - 8, d = common difference = a2 - a1 = -5 - -8 = 3
⇒ a(n) = -8 + (n - 1)3 = - 8 + 3n - 3 = 3n - 11
Answer:
Step-by-step explanation:
You are correct. When dividing like bases, you subtract the lower exponent from the upper:
x - 3 = 2 so
x = 5. Good!!
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
1.623/100
=1.623×10^-2
or
=0.01623
Hope it helps