→ a
the equation is y = mx ( where m is the slope / constant of variation )
calculate m using the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line
m = =
Answer:
12 and 18
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5
30 ÷ 5 = 6 ← value of 1 part of the ratio
2 parts = 2 × 6 = 12
3 parts = 3 × 6 = 18
The numbers are 12 and 18
Answer:
First of all you need to find the total ratio in order to find the number of seeds in each garden.
Total ratio = 3 + 5+7
= 15
The number of seed in garden a = ratio of garden a/ total ratio x 1500
= 3/15 x 1500
= 300 seeds
since each of the seeds in garden a cost 10 cents , then the cost of 300 seeds = 300 x 10 = 3000 cents
= $ 30 ( 100 cents = $1 )
The number of seeds in garden c = 7/15 x 1500
= 700 seeds
each seed in garden b cost 5 cent, cost of 500 = 700 x 5 = 3500 cents
= $35
The number of seeds in garden b = 5 / 15 x 1500 = 500 seeds
It was said that $ 110 was pent in all, so the amount spent on c = $110 - ( $30 + $35)
= $110 - $65
= $45
Step-by-step explanation:
Answer:
17/75
Step-by-step explanation:
The total number of candies = 8 caramels + 17 nougats = 25 candies
The probability that Jose drew 1 caramel and then 1 nougat without replacement = P(C) and P(N)
= 8/25 × 17/24
Further simplifying
= 1/25 × 17/3
= 17/75
Therefore, the probability that Jose drew 1 caramel and then 1 nougat without replacement is 17/75
Answer:
U = x + 3 and V = 7
Step-by-step explanation:
Let U = x + 3 and V = 7, then:
=> (x + 3)^2 + 14(x + 3) + 49
= (x + 3)^2 + 2*7*(x + 3) + 7^2
= U^2 + 2UV + V^2
= (U + V)^2
(correct)