Answer:
5
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
you don't have but 1/3 gallon of water and you need to water 4 plants.
So, you 1/3 x 1/4 which is going to equal 1/12 alternative form is 0.083, of 12^-1
Suha should buy 150 envelopes from shop 1 because the cost in shop 1 is 0.06 less shop 2.
<u>Step-by-step explanation</u>:
Total number of envelopes = 150
<u>The cost of envelopes :</u>
- Pack of 25 envelopes in shop 1 = 3.49
- Pack of 10 envelopes in shop 2 = 2.10
- Buy 2 packs get 1 pack free in shop 2.
<u>Shop 1 :</u>
The number of packs to buy 150 envelopes = 150 /25 = 6 packs
The total cost to buy 6 packs = 6 × 3.49 = 20.94
The cost of 150 envelopes in shop 1 is 20.94
<u>Shop 2 :</u>
The number of packs to buy 150 envelopes = 150 /10 = 15 packs
- For each 2 packs you get 1 pack free.
- 10 packs + 5 free packs = 15 packs
The total cost to buy 10 packs = 10 × 2.10 = 21
The cost of 150 envelopes in shop 2 is 21
The difference between shop 2 and shop 1 = 21 - 20.94 = 0.06
Therefore, the cost in shop 1 is 0.06 less than shop 2. So, Suha should buy 150 envelopes from shop 1.
Answer:
Option (D)
Step-by-step explanation:
If a function f(x) is represented on a graph and we follow the transformation as,
f(x) → 
1). If k ≥ 1, graph of the parent function f(x) will be stretched vertically by a factor k.
That means the transformed graph will be narrower.
2). If 0 < k < 1, graph will be vertically compressed or the transformed function will show a wider graph.
Following this rule,
f(x) → 
shows k = 
[Since 0 < < 1]
Therefore, transformed form will be wider.
Option (D) will be the answer.
Answer:
k = 5
Step-by-step explanation:
Since the equation is y = kx and x equals 3 while y equals 15, in order to solve this equation we are going to have to substitute the variables with their answers:
x = 3
y = 15
15 = 3k
Now we divide 3 from both 3x and 15 to segregate the variable x:
15/3 = 3k/3
5 = k
Now to check our work we are going to substitute 5 for the variable k, 3 for the variable x and 15 for the variable y.
y = kx
15= (5)(3)
15 = 15
Tada, I hope this helps you!
