The function that represents Wayne´s elevation:
y = 30 x - 105
The function that represents Winston´s elevation:
- 100 = 0 m + b
b = -100
-16 = 3m - 100
3 m = 84
m = 84 : 3 = 28
y = 28 x - 100
Surface level: y = 0
Wayne:
0 = 30 x - 105
x = 3.5 minutes
Winston:
0 = 28 x - 100
x = 3.57 minutes
If they both ascend at the same rate, Wayne will be first to the surface.
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)
Answer:
73 packs
Step-by-step explanation:
Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.
290/4
= 72.5
Since we need a whole number answer, round this up:
72.5
= 73
So, Libby will need to buy 73 packs
☆What is the prime factorization of 108?
To find the prime factorization, first divide 108 by 2.

You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.
★ Prime number collection: 2

Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.
★ Prime number collection: 2, 2

Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.
★ Prime number collection: 2, 2, 3

The two 3's are prime. No more dividing! Add those to the "prime number collection".
★ Prime number collection: 2, 2, 3, 3, 3
Multiply all the numbers in your "prime number collection".
