Hello!
Use the equation F = m · a to solve where:
F = total force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the force and mass, so we can plug these values into the equation to solve.
However, mass is used in kilograms, so we must convert from grams to kilograms:
1 kg = 1000 grams
Convert using dimensional analysis or proportions:
Plug in the force and mass to solve:
6.5 = 0.5(a)
Divide both sides by 0.5 (Multiply by 2)
a = 13 m/s²
Answer:
$1.50
Step-by-step explanation:
1. we know that its $240 per 160 hot dogs
2. make that a ratio - 240:160
3. simplify the ratio so that the amount of hot dogs is at one (so divide both sides by 160)
4. so 240/160 = 1.5 . 160/160 = 1
5. 1.5:1
6. so for every one hotdog, you pay $1.50
Options B and C,
20 jars of honey and 6 honeycombs
30 jars of honey and 9 honeycombs
Since 20/10 = 2, we need to make sure that the number of honeycombs is 3*2 = 6.
The same goes for the Option C, since 30/10 = 3, we need to make sure that 3*3 = 9.
Okay, that might have been a bad explanation.
For Option B, we know that he has 20 jars of honey, right? Since he brings 10 jars of honey for every 3 honeycombs, we divide 20 by 10 (20/10) , which gives us 2. This means that he brought 2 groups of ten jars of honey. We also know that for every group of ten jars, he brings 3 honeycombs, meaning that he brought 2 groups of three honeycombs. 3 times 2 is 6, showing that the Option B is correct. The same goes for Option C. He brought 3 groups of ten jars of honey, and 3 groups of 3 honeycombs.